{"id":114194,"date":"2026-10-08T15:33:42","date_gmt":"2026-10-08T07:33:42","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/114194.html"},"modified":"2026-10-08T15:33:42","modified_gmt":"2026-10-08T07:33:42","slug":"yolov10%e3%80%90%e7%ac%ac%e5%85%ad%e7%ab%a0%ef%bc%9a%e6%a0%b8%e5%bf%83%e6%a8%a1%e5%9d%97%e6%94%b9%e8%bf%9b%e4%b8%8e%e6%b6%a8%e7%82%b9%e7%af%87%c2%b7%e7%ac%ac1%e8%8a%82%e3%80%91yolov10-%e6%94%b9","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/114194.html","title":{"rendered":"YOLOv10\u3010\u7b2c\u516d\u7ae0\uff1a\u6838\u5fc3\u6a21\u5757\u6539\u8fdb\u4e0e\u6da8\u70b9\u7bc7\u00b7\u7b2c1\u8282\u3011YOLOv10 \u6539\u8fdb\u603b\u8def\u7ebf\u2014\u2014\u6da8\u70b9\u3001\u63d0\u901f\u3001\u8f7b\u91cf\u5316\u7684\u9009\u62e9\u903b\u8f91\u4e0e\u5de5\u7a0b\u51b3\u7b56\uff01"},"content":{"rendered":"<p> <img decoding=\"async\" width=\"1000\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261008073336-6ac747504bf5c.png\" \/> <\/p>\n<p>&#x1f3c6; \u672c\u6587\u6536\u5f55\u4e8e \u300aYOLOv10\u5b9e\u6218&#xff1a;\u4ece\u5165\u95e8\u5230\u6df1\u5ea6\u4f18\u5316\u300b \u4e13\u680f\u3002<\/p>\n<p>\u8be5\u4e13\u680f\u7cfb\u7edf\u590d\u73b0\u5e76\u6df1\u5ea6\u68b3\u7406\u5168\u7f51\u4e3b\u6d41 YOLOv10 \u6539\u8fdb\u65b9\u6cd5\u4e0e\u5de5\u7a0b\u5b9e\u6218\u6848\u4f8b&#xff0c;\u8986\u76d6\u5206\u7c7b\u3001\u76ee\u6807\u68c0\u6d4b\u3001\u5b9e\u4f8b\u5206\u5272\u3001\u591a\u76ee\u6807\u8ffd\u8e2a\u3001\u5173\u952e\u70b9\u68c0\u6d4b\u3001\u65cb\u8f6c\u76ee\u6807\u68c0\u6d4b\u7b49\u591a\u4e2a\u65b9\u5411&#xff0c;\u575a\u6301 \u6301\u7eed\u66f4\u65b0 &#043; \u6df1\u5ea6\u89e3\u6790 &#043; \u5de5\u7a0b\u9a8c\u8bc1\u3002<\/p>\n<p>\u4e13\u680f\u5c06\u56f4\u7ed5 YOLOv10 \u7684\u7f51\u7edc\u7ed3\u6784\u3001\u8bad\u7ec3\u7b56\u7565\u3001\u6807\u7b7e\u5206\u914d\u3001\u635f\u5931\u51fd\u6570\u3001\u6570\u636e\u589e\u5f3a\u3001\u6a21\u578b\u538b\u7f29\u3001\u63a8\u7406\u52a0\u901f\u4e0e\u90e8\u7f72\u843d\u5730\u7b49\u5185\u5bb9\u5c55\u5f00&#xff0c;\u91cd\u70b9\u5206\u6790 Consistent Dual Assignments&#xff08;\u4e00\u81f4\u6027\u53cc\u91cd\u6807\u7b7e\u5206\u914d&#xff09;\u3001NMS-Free End-to-End Detection&#xff08;\u65e0 NMS \u7aef\u5230\u7aef\u68c0\u6d4b&#xff09;\u3001Holistic Efficiency-Accuracy Driven Model Design&#xff08;\u6574\u4f53\u6548\u7387-\u7cbe\u5ea6\u9a71\u52a8\u6a21\u578b\u8bbe\u8ba1&#xff09; \u7b49\u6838\u5fc3\u8bbe\u8ba1\u601d\u60f3&#xff0c;\u5e76\u7ed3\u5408\u5b9e\u9645\u9879\u76ee\u8bb2\u89e3\u5176\u6539\u8fdb\u65b9\u5f0f\u4e0e\u5e94\u7528\u4ef7\u503c\u3002<\/p>\n<p>\u90e8\u5206\u7ae0\u8282\u8fd8\u4f1a\u7ed3\u5408\u56fd\u5185\u5916\u524d\u6cbf\u8bba\u6587\u4e0e AIGC \u5927\u6a21\u578b\u6280\u672f&#xff0c;\u5bf9\u4e3b\u6d41\u6539\u8fdb\u65b9\u6848\u8fdb\u884c\u91cd\u6784\u4e0e\u518d\u8bbe\u8ba1&#xff0c;\u4f7f\u5185\u5bb9\u66f4\u52a0\u8d34\u8fd1\u771f\u5b9e\u4e1a\u52a1\u573a\u666f&#xff0c;\u9002\u5408\u5e0c\u671b\u6df1\u5165\u7814\u7a76 YOLOv10 \u6216\u5177\u6709\u5de5\u7a0b\u843d\u5730\u9700\u6c42\u7684\u5f00\u53d1\u8005\u5b66\u4e60\u4e0e\u53c2\u8003\u3002<\/p>\n<p>&#x1f3af;<font color=\"red\">\u9650\u65f6\u7279\u60e0&#xff1a;\u5f53\u524d\u6d3b\u52a8\u4e00\u6298\u79d2\u6740&#xff0c;\u4e00\u6b21\u8ba2\u9605&#xff0c;\u7ec8\u8eab\u6709\u6548&#xff0c;\u540e\u7eed\u6240\u6709\u66f4\u65b0\u7ae0\u8282\u5168\u90e8\u514d\u8d39\u89e3\u9501<\/font> &#x1f449; \u4f20\u9001\u95e8 &#x1f448;\ufe0f<\/p>\n<\/p>\n<p>&#x1f389; \u672c\u4e13\u680f\u8fd8\u4e0d\u591f\u8fc7\u763e&#xff1f;\u522b\u6025&#xff0c;\u597d\u620f\u624d\u521a\u521a\u5f00\u59cb&#xff01;\u6211\u5df2\u7ecf\u4e3a\u4f60\u51c6\u5907\u4e86\u4e00\u6574\u5957 YOLO \u8fdb\u9636\u5b9e\u6218\u5927\u793c\u5305&#x1f381;&#xff1a;<\/p>\n<p>&#x1f449; \u300aYOLOv8\u5b9e\u6218\u300b &#x1f449; \u300aYOLOv9\u5b9e\u6218\u300b &#x1f449; \u300aYOLOv10\u5b9e\u6218\u300b &#x1f449; \u300aYOLOv11\u5b9e\u6218\u300b &#x1f449; \u300aYOLOv12\u5b9e\u6218\u300b &#x1f449; \u4ee5\u53ca\u6700\u65b0\u4e0a\u7ebf\u7684 \u300aYOLOv26\u5b9e\u6218\u300b<\/p>\n<p>\u60f3\u4e00\u6b21\u641e\u5b9a\u6240\u6709\u7248\u672c&#xff1f;\u76f4\u63a5\u51b2 \u300aYOLO\u5168\u6808\u5b9e\u6218\u5408\u96c6\u300b&#xff0c;\u4e00\u7ad9\u5f0f\u6db5\u76d6 YOLO \u5404\u7248\u672c\u5b9e\u6218\u6559\u5b66&#xff01;<\/p>\n<p>&#x1f680; \u60f3\u5b66\u54ea\u4e2a\u7248\u672c&#xff1f;\u76f4\u63a5\u627e bug \u83cc\u201c\u8bb8\u613f\u201d&#xff0c;\u5b89\u6392&#xff01;\u5fc5\u987b\u5b89\u6392&#xff01;&#x1f680;<\/p>\n<p>&#x1f3af; \u672c\u6587\u5b9a\u4f4d&#xff1a;\u8ba1\u7b97\u673a\u89c6\u89c9 \u00d7 YOLOv10 \u6838\u5fc3\u6a21\u5757\u6539\u8fdb\u4e0e\u6da8\u70b9\u7bc7 &#x1f4c5; \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4&#xff1a;\u7ea6 45&#xff5e;60 \u5206\u949f &#x1f3f7;\ufe0f \u96be\u5ea6\u7b49\u7ea7&#xff1a;\u2b50\u2b50\u2b50\u2b50\u2606&#xff08;\u9ad8\u7ea7&#xff09; &#x1f527; \u6280\u672f\u6808&#xff1a;Python 3.9&#043; \u00b7 PyTorch 2.0&#043; \u00b7 YOLOv10 \u00b7 ByteTrack \u00b7 OpenCV \u00b7 NumPy<\/p>\n<p> <img decoding=\"async\" width=\"1000\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261008073338-6ac74752738de.png\" \/> <\/p>\n<h4>\u5168\u6587\u76ee\u5f55&#xff1a;<\/h4>\n<ul>\n<li>\u5199\u5728\u524d\u9762<\/li>\n<li>\u4e00\u3001\u627f\u4e0a\u542f\u4e0b&#xff1a;\u4ece\u9a8c\u6536\u62a5\u544a\u5230\u6539\u8fdb\u51b3\u7b56<\/li>\n<li>\n<ul>\n<li>1.1 \u4e0a\u4e00\u8282\u7559\u4e0b\u7684&#034;\u60ac\u6848&#034;<\/li>\n<li>1.2 \u5148\u60f3\u6e05\u695a\u4f60\u7684&#034;\u786c\u7ea6\u675f&#034;\u662f\u4ec0\u4e48<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u3001\u6da8\u70b9\u65b9\u5411&#xff1a;\u8ba9\u6a21\u578b&#034;\u770b\u5f97\u66f4\u51c6&#034;\u7684\u7cfb\u7edf\u6027\u65b9\u6cd5<\/li>\n<li>\n<ul>\n<li>2.1 \u4e3a\u4ec0\u4e48\u7cbe\u5ea6\u4e0a\u4e0d\u53bb\u2014\u2014\u4ece\u6839\u56e0\u5206\u6790\u5f00\u59cb<\/li>\n<li>2.2 \u6ce8\u610f\u529b\u673a\u5236&#xff1a;\u6027\u4ef7\u6bd4\u6700\u9ad8\u7684\u6da8\u70b9\u624b\u6bb5<\/li>\n<li>\n<ul>\n<li>2.2.1 \u901a\u9053\u6ce8\u610f\u529b&#xff08;Channel Attention&#xff09;<\/li>\n<li>2.2.2 \u53cc\u91cd\u6ce8\u610f\u529b&#xff1a;CBAM<\/li>\n<li>2.2.3 \u8f7b\u91cf\u7ea7\u6ce8\u610f\u529b&#xff1a;ECA-Net \u4e0e SimAM<\/li>\n<li>2.2.4 \u4f4d\u7f6e\u611f\u77e5\u6ce8\u610f\u529b&#xff1a;Coordinate Attention<\/li>\n<\/ul>\n<\/li>\n<li>2.3 Neck \u6539\u8fdb&#xff1a;\u7279\u5f81\u878d\u5408\u7684&#034;\u7cbe\u88c5\u4fee&#034;<\/li>\n<li>\n<ul>\n<li>2.3.1 \u4e3a\u4ec0\u4e48\u9ed8\u8ba4\u7684 PAN \u4e0d\u591f&#xff1f;<\/li>\n<li>2.3.2 BiFPN&#xff1a;\u53ef\u5b66\u4e60\u7684\u52a0\u6743\u7279\u5f81\u91d1\u5b57\u5854<\/li>\n<li>2.3.3 P2 \u5c0f\u76ee\u6807\u68c0\u6d4b\u5c42&#xff1a;\u76f4\u63a5\u6269\u5927\u5c0f\u76ee\u6807\u7684&#034;\u6218\u573a&#034;<\/li>\n<\/ul>\n<\/li>\n<li>2.4 \u635f\u5931\u51fd\u6570\u6539\u8fdb&#xff1a;\u6539&#034;\u6253\u5206\u89c4\u5219&#034;\u800c\u975e&#034;\u9009\u624b&#034;<\/li>\n<li>\n<ul>\n<li>2.4.1 \u4ece IoU \u5230 CIoU&#xff1a;\u56de\u5f52\u635f\u5931\u7684\u6f14\u8fdb<\/li>\n<li>2.4.2 \u9488\u5bf9\u5c0f\u76ee\u6807\u7684 NWD \u635f\u5931<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\u4e09\u3001\u63d0\u901f\u65b9\u5411&#xff1a;\u8ba9\u6a21\u578b&#034;\u8dd1\u5f97\u66f4\u5feb&#034;\u7684\u5de5\u7a0b\u5316\u8def\u5f84<\/li>\n<li>\n<ul>\n<li>3.1 \u901f\u5ea6\u7684\u672c\u8d28&#xff1a;FLOPs \u4e0d\u7b49\u4e8e\u5ef6\u8fdf<\/li>\n<li>3.2 \u8f7b\u91cf\u5377\u79ef\u6a21\u5757\u66ff\u6362&#xff1a;\u6700&#034;\u6e29\u548c&#034;\u7684\u63d0\u901f\u65b9\u5f0f<\/li>\n<li>\n<ul>\n<li>3.2.1 GhostConv&#xff1a;\u7528&#034;\u5ec9\u4ef7\u64cd\u4f5c&#034;\u751f\u6210\u7279\u5f81<\/li>\n<li>3.2.2 FasterBlock&#xff1a;\u90e8\u5206\u5377\u79ef&#xff08;PConv&#xff09;\u7684\u5de5\u7a0b\u5316\u5b9e\u73b0<\/li>\n<li>3.2.3 \u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef&#xff1a;\u8f7b\u91cf\u5316\u7684&#034;\u8001\u7956\u5b97&#034;<\/li>\n<\/ul>\n<\/li>\n<li>3.3 \u91cd\u53c2\u6570\u5316&#xff1a;\u8bad\u7ec3\u65f6&#034;\u517b\u7cbe\u84c4\u9510&#034;&#xff0c;\u63a8\u7406\u65f6&#034;\u4e00\u62db\u5236\u654c&#034;<\/li>\n<\/ul>\n<\/li>\n<li>\u56db\u3001\u8f7b\u91cf\u5316\u65b9\u5411&#xff1a;\u8ba9\u6a21\u578b&#034;\u88c5\u5f97\u4e0b&#034;\u7684\u9aa8\u5e72\u66ff\u6362\u7b56\u7565<\/li>\n<li>\n<ul>\n<li>4.1 \u8f7b\u91cf\u5316\u4e0e\u63d0\u901f\u7684\u672c\u8d28\u533a\u522b<\/li>\n<li>4.2 MobileNetV3&#xff1a;\u79fb\u52a8\u7aef\u7684\u96c6\u5927\u6210\u8005<\/li>\n<li>4.3 ShuffleNetV2&#xff1a;\u4e3a\u5b9e\u9645\u901f\u5ea6\u800c\u751f<\/li>\n<li>4.4 EfficientNet&#xff1a;\u590d\u5408\u7f29\u653e\u7684\u4f18\u96c5\u4e0e\u5c40\u9650<\/li>\n<\/ul>\n<\/li>\n<li>\u4e94\u3001\u4e09\u5927\u65b9\u5411\u7684\u534f\u540c\u4e0e\u6743\u8861&#xff1a;\u6253\u7834&#034;\u4e0d\u53ef\u80fd\u4e09\u89d2&#034;\u7684\u8fb9\u754c<\/li>\n<li>\n<ul>\n<li>5.1 \u7cbe\u5ea6-\u901f\u5ea6-\u4f53\u79ef\u7684&#034;\u5e15\u7d2f\u6258\u524d\u6cbf&#034;<\/li>\n<li>5.2 \u7ec4\u5408\u6539\u8fdb\u7684&#034;1&#043;1&gt;2&#034;\u6548\u5e94\u4e0e&#034;1&#043;1&lt;1&#034;\u9677\u9631<\/li>\n<\/ul>\n<\/li>\n<li>\u516d\u3001\u56db\u6b65\u51b3\u7b56\u6846\u67b6&#xff1a;\u4ece\u573a\u666f\u9700\u6c42\u5230\u6539\u8fdb\u65b9\u6848\u7684\u5b8c\u6574\u63a8\u5bfc<\/li>\n<li>\n<ul>\n<li>6.1 \u7b2c\u4e00\u6b65&#xff1a;\u660e\u786e\u90e8\u7f72\u786c\u4ef6\u4e0e\u8ba1\u7b97\u9884\u7b97<\/li>\n<li>6.2 \u7b2c\u4e8c\u6b65&#xff1a;\u8bc4\u4f30\u5b9e\u65f6\u6027\u8981\u6c42<\/li>\n<li>6.3 \u7b2c\u4e09\u6b65&#xff1a;\u5b9a\u4f4d\u7cbe\u5ea6\u77ed\u677f\u7c7b\u578b<\/li>\n<li>6.4 \u7b2c\u56db\u6b65&#xff1a;\u6309\u4f18\u5148\u7ea7\u5236\u5b9a\u6539\u8fdb\u8def\u7ebf<\/li>\n<\/ul>\n<\/li>\n<li>\u4e03\u3001\u91cf\u5316\u8bc4\u4f30\u4f53\u7cfb&#xff1a;\u7528\u6570\u5b57\u8bf4\u8bdd<\/li>\n<li>\n<ul>\n<li>7.1 \u4e94\u4e2a\u6838\u5fc3\u8bc4\u4f30\u6307\u6807<\/li>\n<li>7.2 \u57fa\u7ebf\u753b\u50cf\u4ee3\u7801&#xff08;\u5b8c\u6574\u7248&#xff09;<\/li>\n<li>7.3 \u5b9e\u9a8c\u8bb0\u5f55\u4e0e\u5bf9\u6bd4\u6846\u67b6<\/li>\n<\/ul>\n<\/li>\n<li>\u516b\u3001\u4e09\u9879\u5de5\u7a0b\u57fa\u672c\u539f\u5219<\/li>\n<li>\n<ul>\n<li>8.1 \u5355\u53d8\u91cf\u539f\u5219&#xff08;Single Variable Principle&#xff09;<\/li>\n<li>8.2 \u57fa\u7ebf\u5bf9\u6bd4\u539f\u5219&#xff08;Baseline Reference Principle&#xff09;<\/li>\n<li>8.3 \u53ef\u590d\u73b0\u6027\u539f\u5219&#xff08;Reproducibility Principle&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u4e5d\u3001\u7b2c\u516d\u7ae0\u5168\u666f\u5730\u56fe&#xff1a;29 \u8282\u6539\u8fdb\u5de5\u5177\u7bb1\u7684\u6574\u4f53\u5e03\u5c40<\/li>\n<li>\u5341\u3001\u771f\u5b9e\u573a\u666f\u7684\u6539\u8fdb\u51b3\u7b56\u6f14\u7ec3<\/li>\n<li>\n<ul>\n<li>\u6848\u4f8b\u4e00&#xff1a;\u5de5\u4e1a PCB \u7f3a\u9677\u68c0\u6d4b&#xff08;\u7cbe\u5ea6\u4f18\u5148&#xff09;<\/li>\n<li>\u6848\u4f8b\u4e8c&#xff1a;\u667a\u6167\u57ce\u5e02\u591a\u8def\u6444\u50cf\u5934\u5e76\u53d1\u63a8\u7406&#xff08;\u63d0\u901f\u4f18\u5148&#xff09;<\/li>\n<li>\u6848\u4f8b\u4e09&#xff1a;\u65e0\u4eba\u673a\u822a\u62cd\u76ee\u6807\u68c0\u6d4b&#xff08;\u8f7b\u91cf\u5316\u4f18\u5148&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u4e00\u3001\u5e38\u89c1\u8bef\u533a\u4e0e\u907f\u5751\u6307\u5357<\/li>\n<li>\u672c\u8282\u5c0f\u7ed3<\/li>\n<li>&#x1f4cc; \u9644\u5f55<\/li>\n<li>\n<ul>\n<li>&#x1f468;\u200d&#x1f4bb; About Me \u00b7 \u5173\u4e8e\u4f5c\u8005<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>\u5199\u5728\u524d\u9762<\/h2>\n<p>\u7ecf\u8fc7\u7b2c\u4e94\u7ae0\u6574\u6574 15 \u8282\u7684\u7cfb\u7edf\u8bad\u7ec3&#xff0c;\u6211\u4eec\u628a YOLOv10 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\u4e0a\u4e00\u8282\u7559\u4e0b\u7684&#034;\u60ac\u6848&#034;<\/h3>\n<p>\u5728\u4e0a\u671f\u300aYOLOv10\u3010\u7b2c\u4e94\u7ae0&#xff1a;\u63a8\u7406\u3001\u9a8c\u8bc1\u4e0e\u6027\u80fd\u5206\u6790\u7bc7\u00b7\u7b2c15\u8282\u3011YOLOv10 \u6a21\u578b\u9a8c\u6536\u62a5\u544a\u2014\u2014\u7cbe\u5ea6\u3001\u901f\u5ea6\u3001\u7a33\u5b9a\u6027\u4e09\u7ef4\u8bc4\u4f30&#xff01;\u300b\u5185\u5bb9\u4e2d&#xff0c;\u6211\u4eec\u7ed9\u57fa\u7ebf\u6a21\u578b YOLOv10n \u51fa\u4e86\u4e00\u4efd\u4e09\u7ef4\u8bc4\u4f30\u62a5\u544a&#xff0c;\u7cbe\u5ea6\u3001\u901f\u5ea6\u3001\u7a33\u5b9a\u6027\u4e09\u4e2a\u7ef4\u5ea6\u90fd\u6709\u4e86\u91cf\u5316\u6570\u636e\u3002\u6838\u5fc3\u7ed3\u8bba\u6d53\u7f29\u5982\u4e0b&#xff1a;<\/p>\n<table>\n<tr>\u8bc4\u4f30\u7ef4\u5ea6\u57fa\u7ebf\u8868\u73b0\u4e3b\u8981\u95ee\u9898<\/tr>\n<tbody>\n<tr>\n<td>\u7cbe\u5ea6&#xff08;mAP50-95&#xff09;<\/td>\n<td>0.385<\/td>\n<td>\u5c0f\u76ee\u6807\u7c7b\u522b AP \u504f\u4f4e&#xff0c;\u6700\u5dee\u7c7b\u522b\u53ea\u6709 0.25<\/td>\n<\/tr>\n<tr>\n<td>\u901f\u5ea6&#xff08;FPS&#xff09;<\/td>\n<td>\u2248168&#xff08;RTX 3060&#xff0c;FP16&#xff0c;640\u00d7640&#xff09;<\/td>\n<td>\u540e\u5904\u7406\u8017\u65f6\u5df2\u6781\u4f4e&#xff0c;\u4e3b\u5e72\u662f\u8ba1\u7b97\u74f6\u9888<\/td>\n<\/tr>\n<tr>\n<td>\u7a33\u5b9a\u6027<\/td>\n<td>\u6807\u51c6\u5dee &lt; 2%&#xff0c;\u663e\u5b58\u65e0\u6cc4\u6f0f<\/td>\n<td>\u6574\u4f53\u5065\u5eb7&#xff0c;\u65e0\u660e\u663e\u5f02\u5e38<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u8fd9\u4e09\u4e2a\u7ed3\u8bba&#xff0c;\u5bf9\u5e94\u7684\u662f\u4e09\u4e2a\u4e0d\u540c\u7684&#034;\u6539\u8fdb\u52a8\u673a&#034;&#xff1a;<\/p>\n<ul>\n<li>\u5c0f\u76ee\u6807\u7cbe\u5ea6\u504f\u4f4e \u2192 \u6211\u60f3\u6da8\u70b9<\/li>\n<li>\u4e3b\u5e72\u662f\u8ba1\u7b97\u74f6\u9888 \u2192 \u6211\u60f3\u63d0\u901f<\/li>\n<li>\u82e5\u8981\u90e8\u7f72\u5230\u7b97\u529b\u53d7\u9650\u7684\u8fb9\u7f18\u8bbe\u5907 \u2192 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\u5148\u60f3\u6e05\u695a\u4f60\u7684&#034;\u786c\u7ea6\u675f&#034;\u662f\u4ec0\u4e48<\/h3>\n<p>\u5728\u8bb2\u6280\u672f\u4e4b\u524d&#xff0c;\u6709\u4e00\u4e2a\u66f4\u91cd\u8981\u7684\u524d\u7f6e\u95ee\u9898\u9700\u8981\u56de\u7b54&#xff1a;\u4f60\u7684\u6a21\u578b\u6700\u7ec8\u8981\u8dd1\u5728\u4ec0\u4e48\u5730\u65b9&#xff1f;<\/p>\n<p>\u8fd9\u4e2a\u95ee\u9898\u51b3\u5b9a\u4e86\u4f60\u7684\u6539\u8fdb\u65b9\u5411\u7684&#034;\u4f18\u5148\u7ea7\u6392\u5e8f&#034;\u3002\u6211\u628a\u5e38\u89c1\u7684\u90e8\u7f72\u573a\u666f\u5206\u6210\u4e09\u7c7b&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u7c7b&#xff1a;\u4e91\u7aef\u670d\u52a1\u5668\/\u9ad8\u6027\u80fd\u5de5\u4f5c\u7ad9\u3002GPU \u7b97\u529b\u5145\u8db3&#xff08;\u6bd4\u5982 A100\u3001V100\u3001RTX 3090&#xff09;&#xff0c;\u663e\u5b58\u81f3\u5c11 16GB&#xff0c;\u6a21\u578b\u4f53\u79ef\u57fa\u672c\u4e0d\u662f\u95ee\u9898\u3002\u8fd9\u7c7b\u573a\u666f\u7684\u6539\u8fdb\u903b\u8f91\u662f&#xff1a;\u7cbe\u5ea6\u4f18\u5148&#xff0c;\u5728\u7cbe\u5ea6\u8fbe\u6807\u7684\u524d\u63d0\u4e0b\u8003\u8651\u541e\u5410\u91cf\u3002\u8fd9\u91cc\u7684&#034;\u541e\u5410\u91cf&#034;\u4e3b\u8981\u662f\u4e3a\u4e86\u8282\u7701\u63a8\u7406\u6210\u672c&#xff08;\u964d\u4f4e\u4e91\u7aef GPU \u65f6\u95f4\u8d39\u7528&#xff09;\u6216\u8005\u652f\u6301\u66f4\u591a\u5e76\u53d1\u8bf7\u6c42&#xff0c;\u4f46\u4e0d\u662f&#034;\u80fd\u4e0d\u80fd\u8dd1\u8d77\u6765&#034;\u7684\u751f\u6b7b\u95ee\u9898\u3002<\/p>\n<p>\u7b2c\u4e8c\u7c7b&#xff1a;\u8fb9\u7f18\u8ba1\u7b97\u76d2\u5b50\/\u5de5\u63a7\u673a\/Jetson \u7cfb\u5217\u3002\u7b97\u529b\u4e2d\u7b49&#xff0c;\u6bd4\u5982 Jetson AGX Xavier&#xff08;32TOPS&#xff09;\u3001Jetson Orin Nano&#xff08;40TOPS&#xff09;&#xff0c;\u663e\u5b58\u901a\u5e38 8-16GB&#xff0c;\u6709\u65f6\u5019\u8ddf\u4e3b\u5185\u5b58\u5171\u4eab\u3002\u8fd9\u7c7b\u573a\u666f\u9700\u8981\u5728\u7cbe\u5ea6\u548c\u901f\u5ea6\u4e4b\u95f4\u505a\u4e00\u4e2a\u6bd4\u8f83\u5ba1\u614e\u7684\u6743\u8861&#xff1a;\u7cbe\u5ea6\u8981\u591f\u7528&#xff0c;\u901f\u5ea6\u8981\u8fbe\u6807&#xff08;\u6bd4\u5982\u6ee1\u8db3\u89c6\u9891\u6d41\u7684\u5e27\u7387\u8981\u6c42&#xff09;&#xff0c;\u6a21\u578b\u4f53\u79ef\u53ef\u4ee5\u9002\u5f53\u5bbd\u677e\u4f46\u4e0d\u80fd\u592a\u79bb\u8c31\u3002<\/p>\n<p>\u7b2c\u4e09\u7c7b&#xff1a;\u5d4c\u5165\u5f0f\u82af\u7247\/\u79fb\u52a8\u7aef\/MCU\u3002\u8fd9\u624d\u662f\u771f\u6b63\u7684&#034;\u786c\u7ea6\u675f&#034;\u573a\u666f\u2014\u2014\u7b97\u529b\u4ee5 TOPS \u751a\u81f3 GOPS \u8ba1&#xff0c;\u663e\u5b58\/\u5185\u5b58\u4ee5 MB \u8ba1&#xff0c;\u529f\u8017\u4ee5\u6beb\u74e6\u8ba1\u3002\u8fd9\u7c7b\u573a\u666f\u7684\u6539\u8fdb\u903b\u8f91\u5b8c\u5168\u4e0d\u540c&#xff1a;\u9996\u5148\u4fdd\u8bc1\u6a21\u578b\u80fd\u8dd1\u8d77\u6765&#xff08;\u53c2\u6570\u91cf\u548c\u8ba1\u7b97\u91cf\u4e0d\u8d85\u8fc7\u82af\u7247\u4e0a\u9650&#xff09;&#xff0c;\u5176\u6b21\u624d\u8c08\u7cbe\u5ea6\u3002\u8f7b\u91cf\u5316\u5728\u8fd9\u91cc\u4e0d\u662f&#034;\u9526\u4e0a\u6dfb\u82b1&#034;&#xff0c;\u800c\u662f&#034;\u751f\u6b7b\u5b58\u4ea1&#034;\u3002<\/p>\n<p>\u628a\u8fd9\u4e2a&#034;\u90e8\u7f72\u573a\u666f\u5206\u7c7b&#034;\u548c&#034;\u4e09\u5927\u6539\u8fdb\u65b9\u5411&#034;\u5bf9\u5e94\u8d77\u6765&#xff0c;\u5927\u6982\u662f\u8fd9\u6837\u4e00\u4e2a\u5173\u7cfb&#xff1a;<\/p>\n<p>\u4e91\u7aef\u670d\u52a1\u5668  \u2192  \u6da8\u70b9\u4f18\u5148&#xff08;\u7cbe\u5ea6\u9a71\u52a8&#xff09;<br \/>\n\u8fb9\u7f18\u76d2\u5b50    \u2192  \u6da8\u70b9 <span class=\"token operator\">&#043;<\/span> \u63d0\u901f\u534f\u540c&#xff08;\u7cbe\u5ea6<span class=\"token operator\">&#8211;<\/span>\u901f\u5ea6\u53cc\u76ee\u6807&#xff09;<br \/>\n\u5d4c\u5165\u5f0f\u82af\u7247  \u2192  \u8f7b\u91cf\u5316\u4f18\u5148&#xff0c;\u518d\u8f85\u4ee5\u4f4e\u6210\u672c\u6da8\u70b9<\/p>\n<p>\u5f53\u7136&#xff0c;\u73b0\u5b9e\u9879\u76ee\u8fdc\u4e0d\u4f1a\u8fd9\u4e48\u6574\u9f50\u3002\u5927\u591a\u6570\u771f\u5b9e\u573a\u666f\u90fd\u662f&#034;\u6df7\u5408\u578b\u7ea6\u675f&#034;\u2014\u2014\u6bd4\u5982\u4f60\u7684\u90e8\u7f72\u76ee\u6807\u662f Jetson Orin NX&#xff08;16TOPS&#xff09;&#xff0c;\u65e2\u6709\u7b97\u529b\u4e0a\u9650&#xff0c;\u53c8\u5bf9\u5c0f\u76ee\u6807\u7cbe\u5ea6\u6709\u5f3a\u8981\u6c42\u3002\u8fd9\u65f6\u5019\u5c31\u9700\u8981\u7528\u5230\u6211\u4eec\u540e\u9762\u8981\u8bb2\u7684&#034;\u51b3\u7b56\u6846\u67b6&#034;&#xff0c;\u5728\u591a\u4e2a\u7ea6\u675f\u4e4b\u95f4\u627e\u5230\u4e00\u4e2a\u6700\u5408\u7406\u7684\u4f18\u5148\u7ea7\u6392\u5e8f\u3002<\/p>\n<h2>\u4e8c\u3001\u6da8\u70b9\u65b9\u5411&#xff1a;\u8ba9\u6a21\u578b&#034;\u770b\u5f97\u66f4\u51c6&#034;\u7684\u7cfb\u7edf\u6027\u65b9\u6cd5<\/h2>\n<h3>2.1 \u4e3a\u4ec0\u4e48\u7cbe\u5ea6\u4e0a\u4e0d\u53bb\u2014\u2014\u4ece\u6839\u56e0\u5206\u6790\u5f00\u59cb<\/h3>\n<p>\u5f88\u591a\u540c\u5b66\u5728\u8ba8\u8bba&#034;\u6da8\u70b9&#034;\u7684\u65f6\u5019&#xff0c;\u76f4\u63a5\u4e0a\u6765\u5c31\u95ee&#034;\u52a0\u54ea\u4e2a\u6ce8\u610f\u529b\u6a21\u5757\u597d&#034;\u3002\u8fd9\u4e2a\u95ee\u9898\u6ca1\u6709\u901a\u7528\u7b54\u6848&#xff0c;\u56e0\u4e3a\u5b83\u5ffd\u7565\u4e86\u4e00\u4e2a\u66f4\u6839\u672c\u7684\u524d\u7f6e\u95ee\u9898&#xff1a;\u4f60\u7684\u7cbe\u5ea6\u4e3a\u4ec0\u4e48\u4e0a\u4e0d\u53bb&#xff1f;<\/p>\n<p>\u7cbe\u5ea6\u74f6\u9888\u53ef\u4ee5\u6765\u81ea\u4ee5\u4e0b\u51e0\u4e2a\u4e0d\u540c\u7684\u5c42\u9762&#xff0c;\u4e0d\u540c\u7684\u6839\u56e0&#xff0c;\u5bf9\u5e94\u7684\u6539\u8fdb\u624b\u6bb5\u5b8c\u5168\u4e0d\u540c&#xff1a;<\/p>\n<p>\u6839\u56e0\u4e00&#xff1a;\u7279\u5f81\u8868\u8fbe\u80fd\u529b\u4e0d\u8db3\u3002\u6a21\u578b\u5bf9\u76ee\u6807\u7684\u5c40\u90e8\u7eb9\u7406\u3001\u5168\u5c40\u8bed\u4e49\u3001\u51e0\u4f55\u5f62\u6001\u7b49\u7ef4\u5ea6\u7684\u7279\u5f81\u63d0\u53d6\u80fd\u529b\u6709\u9650&#xff0c;\u5bfc\u81f4\u4e0d\u540c\u7c7b\u522b\u7684\u76ee\u6807\u5728\u7279\u5f81\u7a7a\u95f4\u91cc&#034;\u6ca1\u5206\u5f00&#034;\u3002\u8fd9\u7c7b\u95ee\u9898&#xff0c;\u9760\u6ce8\u610f\u529b\u673a\u5236\u3001\u66f4\u6df1\/\u66f4\u5bbd\u7684\u9aa8\u5e72\u3001\u6216\u8005\u5f15\u5165\u591a\u5c3a\u5ea6\u611f\u53d7\u91ce\u6765\u89e3\u51b3\u3002<\/p>\n<p>\u6839\u56e0\u4e8c&#xff1a;\u591a\u5c3a\u5ea6\u7279\u5f81\u878d\u5408\u8d28\u91cf\u5dee\u3002\u68c0\u6d4b\u4efb\u52a1\u5929\u7136\u662f\u591a\u5c3a\u5ea6\u95ee\u9898\u2014\u2014\u5927\u76ee\u6807\u5728\u6df1\u5c42\u7279\u5f81\u56fe\u4e0a\u6709\u5f3a\u8bed\u4e49&#xff0c;\u5c0f\u76ee\u6807\u5728\u6d45\u5c42\u7279\u5f81\u56fe\u4e0a\u6709\u7cbe\u7ec6\u4f4d\u7f6e\u4fe1\u606f&#xff0c;Neck \u6a21\u5757\u7684\u8d28\u91cf\u51b3\u5b9a\u4e86\u8fd9\u4e24\u79cd\u4fe1\u606f\u80fd\u4e0d\u80fd\u88ab\u9ad8\u8d28\u91cf\u5730\u878d\u5408\u8d77\u6765\u3002\u8fd9\u7c7b\u95ee\u9898&#xff0c;\u9760\u6539\u8fdb Neck \u7ed3\u6784&#xff08;BiFPN\u3001AFPN&#xff09;\u6216\u8005\u589e\u52a0\u9ad8\u5206\u8fa8\u7387\u68c0\u6d4b\u5c42&#xff08;P2 \u5c42&#xff09;\u6765\u89e3\u51b3\u3002<\/p>\n<p>\u6839\u56e0\u4e09&#xff1a;\u6807\u7b7e\u5206\u914d\u4e0e\u8bad\u7ec3\u76d1\u7763\u4e0d\u591f\u7cbe\u51c6\u3002\u635f\u5931\u51fd\u6570\u7684\u8bbe\u8ba1&#xff0c;\u76f4\u63a5\u51b3\u5b9a\u4e86\u6a21\u578b\u88ab&#034;\u5f15\u5bfc&#034;\u53bb\u4f18\u5316\u4ec0\u4e48\u65b9\u5411\u3002\u4f20\u7edf\u7684 IoU Loss \u5bf9\u5c0f\u76ee\u6807\u975e\u5e38\u4e0d\u53cb\u597d\u2014\u2014\u4e24\u4e2a\u51e0\u4e4e\u91cd\u5408\u7684\u5c0f\u76ee\u6807&#xff0c;\u7a0d\u5fae\u4e00\u632a\u4f4d&#xff0c;IoU \u53ef\u80fd\u4ece 0.7 \u6389\u5230 0.1&#xff0c;\u68af\u5ea6\u975e\u5e38\u4e0d\u7a33\u5b9a\u3002\u8fd9\u7c7b\u95ee\u9898&#xff0c;\u9760\u6539\u8fdb\u635f\u5931\u51fd\u6570\u6765\u89e3\u51b3\u3002<\/p>\n<p>\u6839\u56e0\u56db&#xff1a;\u6837\u672c\u5206\u5e03\u4e0d\u5747\u8861\u3002\u6709\u4e9b\u7c7b\u522b\u8bad\u7ec3\u6837\u672c\u7279\u522b\u591a&#xff08;\u6bd4\u5982&#034;\u6c7d\u8f66&#034;&#xff09;&#xff0c;\u6709\u4e9b\u7c7b\u522b\u6781\u5c11&#xff08;\u6bd4\u5982&#034;\u6d88\u9632\u6813&#034;&#xff09;&#xff0c;\u6a21\u578b\u5728\u4f18\u5316\u8fc7\u7a0b\u4e2d\u81ea\u7136\u4f1a&#034;\u504f\u5fc3&#034;\u9ad8\u9891\u7c7b\u522b&#xff0c;\u4f4e\u9891\u7c7b\u522b\u4f1a\u88ab\u7cfb\u7edf\u6027\u5730\u5ffd\u89c6\u3002\u8fd9\u7c7b\u95ee\u9898&#xff0c;\u9760\u7c7b\u522b\u6743\u91cd\u8c03\u6574\u3001Focal Loss\u3001\u6216\u8005\u6570\u636e\u589e\u5f3a\u6765\u89e3\u51b3\u3002<\/p>\n<p>\u5728\u5f00\u59cb\u6539\u8fdb\u4e4b\u524d&#xff0c;\u5148\u901a\u8fc7\u6df7\u6dc6\u77e9\u9635\u548c\u5404\u7c7b\u522b AP \u5206\u5e03&#xff0c;\u628a\u4f60\u7684\u7cbe\u5ea6\u74f6\u9888\u5f52\u5230\u8fd9\u56db\u7c7b\u6839\u56e0\u91cc\u53bb&#xff0c;\u624d\u80fd\u505a\u5230&#034;\u5bf9\u75c7\u4e0b\u836f&#034;\u3002 \u8fd9\u662f\u6211\u5728\u505a\u5b9e\u9645\u9879\u76ee\u65f6\u517b\u6210\u7684\u4e00\u4e2a\u4e60\u60ef&#xff0c;\u770b\u4f3c\u591a\u4e86\u4e00\u6b65&#xff0c;\u5b9e\u5219\u7701\u4e86\u5f88\u591a\u5f2f\u8def\u3002<\/p>\n<h3>2.2 \u6ce8\u610f\u529b\u673a\u5236&#xff1a;\u6027\u4ef7\u6bd4\u6700\u9ad8\u7684\u6da8\u70b9\u624b\u6bb5<\/h3>\n<p>\u6ce8\u610f\u529b\u673a\u5236&#xff08;Attention Mechanism&#xff09;\u662f\u76ee\u524d&#034;\u6da8\u70b9&#034;\u5de5\u5177\u7bb1\u91cc\u6027\u4ef7\u6bd4\u6700\u9ad8\u7684\u4e00\u7c7b\u6280\u672f&#xff0c;\u539f\u56e0\u662f&#xff1a;\u7528\u5f88\u5c0f\u7684\u53c2\u6570\u91cf\u589e\u52a0&#xff08;\u6709\u65f6\u5019\u51e0\u4e4e\u4e3a\u96f6&#xff09;&#xff0c;\u5c31\u80fd\u8ba9\u6a21\u578b\u5b66\u4f1a&#034;\u770b\u54ea\u91cc\u3001\u600e\u4e48\u770b&#034;&#xff0c;\u63d0\u5347\u7279\u5f81\u56fe\u7684\u8d28\u91cf\u3002<\/p>\n<p>\u4ece\u673a\u5236\u5c42\u9762&#xff0c;\u4e3b\u6d41\u7684\u6ce8\u610f\u529b\u6a21\u5757\u53ef\u4ee5\u6cbf\u7740&#034;\u5173\u6ce8\u7ef4\u5ea6&#034;\u8fd9\u4e2a\u8f74\u7ebf\u6765\u7406\u89e3&#xff1a;<\/p>\n<h4>2.2.1 \u901a\u9053\u6ce8\u610f\u529b&#xff08;Channel Attention&#xff09;<\/h4>\n<p>\u4ee3\u8868\u4f5c\u662f SENet&#xff08;Squeeze-and-Excitation Network&#xff09;&#xff0c;\u53d1\u8868\u4e8e CVPR 2018&#xff0c;\u662f\u6ce8\u610f\u529b\u673a\u5236\u5728\u76ee\u6807\u68c0\u6d4b\u9886\u57df\u5e94\u7528\u6700\u5e7f\u6cdb\u7684\u8d77\u70b9\u4e4b\u4e00\u3002<\/p>\n<p>SE \u6a21\u5757\u7684\u6838\u5fc3\u601d\u8def\u662f&#xff1a;\u5bf9\u7279\u5f81\u56fe\u7684\u6bcf\u4e2a\u901a\u9053&#xff0c;\u5148\u7528\u5168\u5c40\u5e73\u5747\u6c60\u5316&#034;\u538b\u7f29&#034;\u6210\u4e00\u4e2a\u6807\u91cf&#xff08;Squeeze&#xff09;&#xff0c;\u518d\u901a\u8fc7\u4e00\u4e2a\u5c0f\u578b MLP \u751f\u6210\u6bcf\u4e2a\u901a\u9053\u7684&#034;\u91cd\u8981\u6027\u6743\u91cd&#034;&#xff08;Excitation&#xff09;&#xff0c;\u6700\u540e\u628a\u8fd9\u4e2a\u6743\u91cd\u4e58\u56de\u539f\u59cb\u7279\u5f81\u56fe&#xff0c;\u5b9e\u73b0&#034;\u901a\u9053\u52a0\u6743&#034;\u3002<\/p>\n<p>\u6570\u5b66\u8868\u8ff0&#xff1a;<\/p>\n<p>\u8bbe\u8f93\u5165\u7279\u5f81\u56fe\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        X<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>          C<\/p>\n<p>          \u00d7<\/p>\n<p>          H<\/p>\n<p>          \u00d7<\/p>\n<p>          W<\/p>\n<p>       \\\\mathbf{X} \\\\in \\\\mathbb{R}^{C \\\\times H \\\\times W}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7252em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathbf\">X<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;SE \u6a21\u5757\u7684\u8ba1\u7b97\u8fc7\u7a0b\u5982\u4e0b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>          c<\/p>\n<p>         &#061;<\/p>\n<p>          1<\/p>\n<p>           H<\/p>\n<p>           \u00d7<\/p>\n<p>           W<\/p>\n<p>          \u2211<\/p>\n<p>           i<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>          H<\/p>\n<p>          \u2211<\/p>\n<p>           j<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>          W<\/p>\n<p>          x<\/p>\n<p>          c<\/p>\n<p>         (<\/p>\n<p>         i<\/p>\n<p>         ,<\/p>\n<p>         j<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         ,<\/p>\n<p>         2<\/p>\n<p>         ,<\/p>\n<p>         \u2026<\/p>\n<p>         ,<\/p>\n<p>         C<\/p>\n<p>        z_c &#061; \\\\frac{1}{H \\\\times W} \\\\sum_{i&#061;1}^{H} \\\\sum_{j&#061;1}^{W} x_c(i, j), \\\\quad c &#061; 1, 2, \\\\ldots, C<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.2421em;vertical-align: -1.4138em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7693em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8283em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><span class=\"\" style=\"top: -4.3em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8283em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><span class=\"\" style=\"top: -4.3em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4138em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u4e00\u6b65\u662f Squeeze&#xff08;\u5168\u5c40\u5e73\u5747\u6c60\u5316&#xff09;&#xff0c;\u628a\u6bcf\u4e2a\u901a\u9053\u538b\u6210\u4e00\u4e2a\u6807\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         z<\/p>\n<p>         c<\/p>\n<p>       z_c<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f97\u5230\u901a\u9053\u63cf\u8ff0\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        z<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>         C<\/p>\n<p>       \\\\mathbf{z} \\\\in \\\\mathbb{R}^{C}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathbf\">z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\u662f Excitation&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         s<\/p>\n<p>         &#061;<\/p>\n<p>         \u03c3<\/p>\n<p>         !<\/p>\n<p>          (<\/p>\n<p>           W<\/p>\n<p>           2<\/p>\n<p>          \u22c5<\/p>\n<p>          \u03b4<\/p>\n<p>          !<\/p>\n<p>           (<\/p>\n<p>            W<\/p>\n<p>            1<\/p>\n<p>           \u22c5<\/p>\n<p>           z<\/p>\n<p>           )<\/p>\n<p>          )<\/p>\n<p>        \\\\mathbf{s} &#061; \\\\sigma!\\\\left( \\\\mathbf{W}_2 \\\\cdot \\\\delta!\\\\left( \\\\mathbf{W}_1 \\\\cdot \\\\mathbf{z} \\\\right) \\\\right)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4444em\"><\/span><span class=\"mord mathbf\">s<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mclose\">!<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0379em\">\u03b4<\/span><span class=\"mclose\">!<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathbf\">z<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         1<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>          C<\/p>\n<p>          \/<\/p>\n<p>          r<\/p>\n<p>          \u00d7<\/p>\n<p>          C<\/p>\n<p>       \\\\mathbf{W}_1 \\\\in \\\\mathbb{R}^{C\/r \\\\times C}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mord mtight\">\/<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         2<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>          C<\/p>\n<p>          \u00d7<\/p>\n<p>          C<\/p>\n<p>          \/<\/p>\n<p>          r<\/p>\n<p>       \\\\mathbf{W}_2 \\\\in \\\\mathbb{R}^{C \\\\times C\/r}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mord mtight\">\/<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        r<\/p>\n<p>       r<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span> \u662f\u538b\u7f29\u6bd4&#xff08;\u901a\u5e38\u53d6 16&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b4<\/p>\n<p>       \\\\delta<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0379em\">\u03b4<\/span><\/span><\/span><\/span><\/span> \u662f ReLU&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c3<\/p>\n<p>       \\\\sigma<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><\/span> \u662f Sigmoid\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        s<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>         C<\/p>\n<p>       \\\\mathbf{s} \\\\in \\\\mathbb{R}^{C}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathbf\">s<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u6bcf\u4e2a\u901a\u9053\u7684\u91cd\u8981\u6027\u6743\u91cd\u3002<\/p>\n<p>\u6700\u540e\u662f Scale&#xff08;\u901a\u9053\u52a0\u6743&#xff09;&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           x<\/p>\n<p>           ^<\/p>\n<p>          c<\/p>\n<p>         &#061;<\/p>\n<p>          s<\/p>\n<p>          c<\/p>\n<p>         \u22c5<\/p>\n<p>          x<\/p>\n<p>          c<\/p>\n<p>        \\\\hat{x}_c &#061; s_c \\\\cdot x_c<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5945em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>SE \u6a21\u5757\u5f15\u5165\u7684\u53c2\u6570\u91cf\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          2<\/p>\n<p>           C<\/p>\n<p>           2<\/p>\n<p>         r<\/p>\n<p>       \\\\frac{2C^2}{r}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3629em;vertical-align: -0.345em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0179em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u5ffd\u7565\u504f\u7f6e&#xff09;&#xff0c;\u4ee5 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        C<\/p>\n<p>        &#061;<\/p>\n<p>        256<\/p>\n<p>        ,<\/p>\n<p>        r<\/p>\n<p>        &#061;<\/p>\n<p>        16<\/p>\n<p>       C&#061;256, r&#061;16<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">256<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">16<\/span><\/span><\/span><\/span><\/span> \u4e3a\u4f8b&#xff0c;\u4ec5\u65b0\u589e\u7ea6 8192 \u4e2a\u53c2\u6570&#xff0c;\u4ee3\u4ef7\u6781\u4f4e\u3002<\/p>\n<h4>2.2.2 \u53cc\u91cd\u6ce8\u610f\u529b&#xff1a;CBAM<\/h4>\n<p>CBAM&#xff08;Convolutional Block Attention Module&#xff09;\u5728 SE \u7684\u901a\u9053\u6ce8\u610f\u529b\u57fa\u7840\u4e0a&#xff0c;\u53e0\u52a0\u4e86\u4e00\u5c42\u7a7a\u95f4\u6ce8\u610f\u529b&#xff0c;\u8ba9\u6a21\u578b\u4e0d\u4ec5\u77e5\u9053&#034;\u54ea\u4e9b\u901a\u9053\u91cd\u8981&#034;&#xff0c;\u8fd8\u77e5\u9053&#034;\u56fe\u50cf\u91cc\u54ea\u4e9b\u4f4d\u7f6e\u91cd\u8981&#034;\u3002<\/p>\n<p>\u901a\u9053\u6ce8\u610f\u529b\u90e8\u5206&#xff0c;CBAM \u540c\u65f6\u4f7f\u7528\u4e86\u5168\u5c40\u5e73\u5747\u6c60\u5316\u548c\u5168\u5c40\u6700\u5927\u6c60\u5316&#xff0c;\u4e24\u8def\u63cf\u8ff0\u5411\u91cf\u7ecf\u8fc7\u5171\u4eab\u6743\u91cd\u7684 MLP \u540e\u76f8\u52a0&#xff0c;\u518d\u8fc7 Sigmoid&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          M<\/p>\n<p>          c<\/p>\n<p>         (<\/p>\n<p>         X<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         \u03c3<\/p>\n<p>         !<\/p>\n<p>          (<\/p>\n<p>           M<\/p>\n<p>           L<\/p>\n<p>           P<\/p>\n<p>          (<\/p>\n<p>           A<\/p>\n<p>           v<\/p>\n<p>           g<\/p>\n<p>           P<\/p>\n<p>           o<\/p>\n<p>           o<\/p>\n<p>           l<\/p>\n<p>          (<\/p>\n<p>          X<\/p>\n<p>          )<\/p>\n<p>          )<\/p>\n<p>          &#043;<\/p>\n<p>           M<\/p>\n<p>           L<\/p>\n<p>           P<\/p>\n<p>          (<\/p>\n<p>           M<\/p>\n<p>           a<\/p>\n<p>           x<\/p>\n<p>           P<\/p>\n<p>           o<\/p>\n<p>           o<\/p>\n<p>           l<\/p>\n<p>          (<\/p>\n<p>          X<\/p>\n<p>          )<\/p>\n<p>          )<\/p>\n<p>          )<\/p>\n<p>        \\\\mathbf{M}_c(\\\\mathbf{X}) &#061; \\\\sigma!\\\\left( \\\\mathrm{MLP}(\\\\mathrm{AvgPool}(\\\\mathbf{X})) &#043; \\\\mathrm{MLP}(\\\\mathrm{MaxPool}(\\\\mathbf{X})) \\\\right)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">X<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mclose\">!<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathrm\">MLP<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathrm\">AvgPool<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">X<\/span><span class=\"mclose\">))<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\">MLP<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathrm\">MaxPool<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">X<\/span><span class=\"mclose\">))<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7a7a\u95f4\u6ce8\u610f\u529b\u90e8\u5206&#xff0c;\u5bf9\u901a\u9053\u52a0\u6743\u540e\u7684\u7279\u5f81\u56fe <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         X<\/p>\n<p>         \u2032<\/p>\n<p>        &#061;<\/p>\n<p>         M<\/p>\n<p>         c<\/p>\n<p>        \u2297<\/p>\n<p>        X<\/p>\n<p>       \\\\mathbf{X}&#039; &#061; \\\\mathbf{M}_c \\\\otimes \\\\mathbf{X}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7519em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2297<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">X<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6cbf\u901a\u9053\u7ef4\u5ea6\u5206\u522b\u505a\u5e73\u5747\u6c60\u5316\u548c\u6700\u5927\u6c60\u5316&#xff0c;\u5f97\u5230\u4e24\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u00d7<\/p>\n<p>        H<\/p>\n<p>        \u00d7<\/p>\n<p>        W<\/p>\n<p>       1 \\\\times H \\\\times W<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><\/span> \u7684\u7279\u5f81\u56fe&#xff0c;\u62fc\u63a5\u540e\u7ecf\u8fc7\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        7<\/p>\n<p>        \u00d7<\/p>\n<p>        7<\/p>\n<p>       7 \\\\times 7<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">7<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u548c Sigmoid&#xff0c;\u751f\u6210\u7a7a\u95f4\u6ce8\u610f\u529b\u56fe&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          M<\/p>\n<p>          s<\/p>\n<p>         (<\/p>\n<p>          X<\/p>\n<p>          \u2032<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         \u03c3<\/p>\n<p>         !<\/p>\n<p>          (<\/p>\n<p>           f<\/p>\n<p>            7<\/p>\n<p>            \u00d7<\/p>\n<p>            7<\/p>\n<p>          !<\/p>\n<p>           (<\/p>\n<p>           [<\/p>\n<p>            A<\/p>\n<p>            v<\/p>\n<p>            g<\/p>\n<p>            P<\/p>\n<p>            o<\/p>\n<p>            o<\/p>\n<p>            l<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            \u2032<\/p>\n<p>           )<\/p>\n<p>           ;<\/p>\n<p>            M<\/p>\n<p>            a<\/p>\n<p>            x<\/p>\n<p>            P<\/p>\n<p>            o<\/p>\n<p>            o<\/p>\n<p>            l<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            \u2032<\/p>\n<p>           )<\/p>\n<p>           ]<\/p>\n<p>           )<\/p>\n<p>          )<\/p>\n<p>        \\\\mathbf{M}_s(\\\\mathbf{X}&#039;) &#061; \\\\sigma!\\\\left( f^{7 \\\\times 7}!\\\\left([\\\\mathrm{AvgPool}(\\\\mathbf{X}&#039;); \\\\mathrm{MaxPool}(\\\\mathbf{X}&#039;)]\\\\right) \\\\right)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0519em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2141em;vertical-align: -0.35em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mclose\">!<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">7<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\">7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">!<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord mathrm\">AvgPool<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">;<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\">MaxPool<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)]<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6700\u7ec8\u8f93\u51fa\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          X<\/p>\n<p>           \u2032<\/p>\n<p>           \u2032<\/p>\n<p>         &#061;<\/p>\n<p>          M<\/p>\n<p>          s<\/p>\n<p>         \u2297<\/p>\n<p>          X<\/p>\n<p>          \u2032<\/p>\n<p>         &#061;<\/p>\n<p>          M<\/p>\n<p>          s<\/p>\n<p>         \u2297<\/p>\n<p>          (<\/p>\n<p>           M<\/p>\n<p>           c<\/p>\n<p>          \u2297<\/p>\n<p>          X<\/p>\n<p>          )<\/p>\n<p>        \\\\mathbf{X}&#039;&#039; &#061; \\\\mathbf{M}_s \\\\otimes \\\\mathbf{X}&#039; &#061; \\\\mathbf{M}_s \\\\otimes \\\\left( \\\\mathbf{M}_c \\\\otimes \\\\mathbf{X} \\\\right)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2297<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2297<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2297<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathbf\">X<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4ece\u5de5\u7a0b\u7ecf\u9a8c\u6765\u770b&#xff0c;CBAM \u5728\u5bc6\u96c6\u76ee\u6807\u68c0\u6d4b\u548c\u90e8\u5206\u906e\u6321\u573a\u666f\u4e0b\u7684\u6548\u679c\u901a\u5e38\u4f18\u4e8e\u7eaf\u901a\u9053\u6ce8\u610f\u529b&#xff0c;\u4f46\u4f1a\u6bd4 SE \u591a\u4e00\u70b9\u70b9\u8ba1\u7b97\u5f00\u9500&#xff08;\u7a7a\u95f4\u6ce8\u610f\u529b\u90a3\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        7<\/p>\n<p>        \u00d7<\/p>\n<p>        7<\/p>\n<p>       7 \\\\times 7<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">7<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef&#xff09;\u3002<\/p>\n<h4>2.2.3 \u8f7b\u91cf\u7ea7\u6ce8\u610f\u529b&#xff1a;ECA-Net \u4e0e SimAM<\/h4>\n<p>**ECA-Net&#xff08;Efficient Channel Attention&#xff09;**\u89e3\u51b3\u4e86 SE \u6a21\u5757\u7684\u4e00\u4e2a\u75db\u70b9\u2014\u2014SE \u7684\u4e24\u5c42\u5168\u8fde\u63a5&#xff08;MLP&#xff09;\u6253\u7834\u4e86\u7279\u5f81\u901a\u9053\u4e4b\u95f4\u7684\u5c40\u90e8\u6027&#xff0c;\u800c\u4e14 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        C<\/p>\n<p>        \u2192<\/p>\n<p>        C<\/p>\n<p>        \/<\/p>\n<p>        r<\/p>\n<p>        \u2192<\/p>\n<p>        C<\/p>\n<p>       C \\\\to C\/r \\\\to C<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mord\">\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span> \u7684\u964d\u7ef4-\u5347\u7ef4\u64cd\u4f5c\u4f1a\u635f\u5931\u4e00\u4e9b\u901a\u9053\u95f4\u7684\u7cbe\u7ec6\u4f9d\u8d56\u5173\u7cfb\u3002ECA-Net \u7528\u4e00\u4e2a\u4e00\u7ef4\u5377\u79ef&#xff08;kernel size \u901a\u8fc7\u901a\u9053\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        C<\/p>\n<p>       C<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span> \u81ea\u9002\u5e94\u786e\u5b9a&#xff09;\u76f4\u63a5\u5bf9\u901a\u9053\u63cf\u8ff0\u5411\u91cf\u505a\u5c40\u90e8\u4ea4\u53c9&#xff0c;\u907f\u514d\u4e86\u964d\u7ef4\u635f\u5931&#xff0c;\u53c2\u6570\u91cf\u8fdb\u4e00\u6b65\u538b\u7f29&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         kernel\u00a0size<\/p>\n<p>         &#061;<\/p>\n<p>           \u2223<\/p>\n<p>               log<\/p>\n<p>               \u2061<\/p>\n<p>              2<\/p>\n<p>             C<\/p>\n<p>             &#043;<\/p>\n<p>             1<\/p>\n<p>            2<\/p>\n<p>           \u2223<\/p>\n<p>          odd<\/p>\n<p>        \\\\text{kernel size} &#061; \\\\left|\\\\frac{\\\\log_2 C &#043; 1}{2}\\\\right|_{\\\\text{odd}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord text\"><span class=\"mord\">kernel\u00a0size<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.4497em;vertical-align: -0.9997em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.45em\"><span class=\"pstrut\" style=\"height: 4.4em\"><\/span><span class=\"\" style=\"width: 0.333em;height: 2.4em\"><\/p>\n<p>               <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mop\"><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.45em\"><span class=\"pstrut\" style=\"height: 4.4em\"><\/span><span class=\"\" style=\"width: 0.333em;height: 2.4em\"><\/p>\n<p>               <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"\" style=\"top: -1.7003em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">odd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2223<\/p>\n<p>        \u22c5<\/p>\n<p>         \u2223<\/p>\n<p>         odd<\/p>\n<p>       |\\\\cdot|_{\\\\text{odd}}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">odd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u53d6\u6700\u8fd1\u7684\u5947\u6570&#xff0c;\u4fdd\u8bc1\u5377\u79ef\u53ef\u4ee5\u505a padding&#061;same \u7684\u5bf9\u79f0\u64cd\u4f5c\u3002ECA-Net \u7684\u53c2\u6570\u91cf\u53ea\u6709 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>       k<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u4e2a&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>       k<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u901a\u5e38\u4e3a 3 \u6216 5&#xff09;&#xff0c;\u662f SE \u7684\u767e\u5206\u4e4b\u4e00\u4e0d\u5230&#xff0c;\u4f46\u5b9e\u9a8c\u8868\u660e\u5728 ImageNet \u7b49\u57fa\u51c6\u4e0a\u7cbe\u5ea6\u751a\u81f3\u7565\u4f18\u4e8e SE\u3002<\/p>\n<p>SimAM&#xff08;Simple Attention Module&#xff09; \u66f4\u6781\u7aef\u2014\u2014\u5b83\u751a\u81f3\u4e0d\u65b0\u589e\u4efb\u4f55\u53c2\u6570&#xff0c;\u800c\u662f\u901a\u8fc7\u4e00\u4e2a\u57fa\u4e8e\u795e\u7ecf\u79d1\u5b66&#034;\u795e\u7ecf\u5143\u7684\u6291\u5236\u673a\u5236&#034;\u63a8\u5bfc\u51fa\u7684\u80fd\u91cf\u51fd\u6570&#xff0c;\u76f4\u63a5\u8ba1\u7b97\u6bcf\u4e2a\u795e\u7ecf\u5143&#xff08;\u5373\u6bcf\u4e2a\u7279\u5f81\u70b9&#xff09;\u7684\u91cd\u8981\u6027&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          e<\/p>\n<p>          t<\/p>\n<p>          \u2217<\/p>\n<p>         &#061;<\/p>\n<p>           4<\/p>\n<p>           (<\/p>\n<p>             \u03c3<\/p>\n<p>             ^<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           \u03bb<\/p>\n<p>           )<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>            \u03bc<\/p>\n<p>            ^<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           2<\/p>\n<p>             \u03c3<\/p>\n<p>             ^<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           2<\/p>\n<p>           \u03bb<\/p>\n<p>        e_t^* &#061; \\\\frac{4(\\\\hat{\\\\sigma}^2 &#043; \\\\lambda)}{(t &#8211; \\\\hat{\\\\mu})^2 &#043; 2\\\\hat{\\\\sigma}^2 &#043; 2\\\\lambda}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9857em;vertical-align: -0.247em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.4271em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4911em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1944em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03bb<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        t<\/p>\n<p>       t<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span> \u662f\u76ee\u6807\u795e\u7ecf\u5143\u7684\u6fc0\u6d3b\u503c&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03bc<\/p>\n<p>         ^<\/p>\n<p>       \\\\hat{\\\\mu}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1944em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03c3<\/p>\n<p>          ^<\/p>\n<p>         2<\/p>\n<p>       \\\\hat{\\\\sigma}^2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u540c\u4e00\u7279\u5f81\u56fe\u4e0a&#xff08;\u5305\u62ec\u7a7a\u95f4\u548c\u901a\u9053\u7ef4\u5ea6&#xff09;\u6240\u6709\u795e\u7ecf\u5143\u6fc0\u6d3b\u503c\u7684\u5747\u503c\u548c\u65b9\u5dee&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03bb<\/p>\n<p>       \\\\lambda<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">\u03bb<\/span><\/span><\/span><\/span><\/span> \u662f\u6b63\u5219\u5316\u9879\u3002\u901a\u8fc7\u6700\u5c0f\u5316\u8fd9\u4e2a\u80fd\u91cf\u51fd\u6570&#xff0c;\u53ef\u4ee5\u5f97\u5230\u6bcf\u4e2a\u795e\u7ecf\u5143\u7684\u91cd\u8981\u6027\u6743\u91cd&#xff0c;\u8fdb\u800c\u5bf9\u7279\u5f81\u56fe\u52a0\u6743\u3002\u6574\u4e2a\u8fc7\u7a0b\u65e0\u9700\u53cd\u5411\u4f20\u64ad\u8bad\u7ec3&#xff0c;\u662f\u4e00\u79cd&#034;\u5373\u63d2\u5373\u7528&#034;\u7684\u8ba1\u7b97\u6a21\u5757\u3002<\/p>\n<p>\u5bf9\u4e8e\u5de5\u7a0b\u5e08\u6765\u8bf4&#xff0c;\u8fd9\u51e0\u4e2a\u6ce8\u610f\u529b\u6a21\u5757\u7684\u9009\u62e9\u5efa\u8bae\u662f&#xff1a;<\/p>\n<ul>\n<li>\u8ba1\u7b97\u8d44\u6e90\u5bbd\u88d5\u3001\u8ffd\u6c42\u7cbe\u5ea6\u6700\u5927\u5316 \u2192 CBAM \u6216 Coordinate Attention<\/li>\n<li>\u8ba1\u7b97\u8d44\u6e90\u4e2d\u7b49\u3001\u60f3\u8981\u6027\u4ef7\u6bd4 \u2192 ECA-Net \u6216 SE<\/li>\n<li>\u51e0\u4e4e\u4e0d\u60f3\u589e\u52a0\u4efb\u4f55\u989d\u5916\u5f00\u9500 \u2192 SimAM&#xff08;\u96f6\u53c2\u6570&#xff0c;\u771f\u7684\u662f&#034;\u767d\u5ad6&#034;&#xff09;<\/li>\n<\/ul>\n<h4>2.2.4 \u4f4d\u7f6e\u611f\u77e5\u6ce8\u610f\u529b&#xff1a;Coordinate Attention<\/h4>\n<p>Coordinate Attention \u662f\u4e13\u95e8\u4e3a\u4e0b\u6e38\u68c0\u6d4b\/\u5206\u5272\u4efb\u52a1\u4f18\u5316\u7684\u6ce8\u610f\u529b\u673a\u5236&#xff0c;\u6838\u5fc3\u521b\u65b0\u662f&#xff1a;\u628a\u7a7a\u95f4\u4f4d\u7f6e\u4fe1\u606f&#xff08;\u6c34\u5e73\u65b9\u5411\u548c\u5782\u76f4\u65b9\u5411&#xff09;\u663e\u5f0f\u7f16\u7801\u8fdb\u6ce8\u610f\u529b\u6743\u91cd\u91cc&#xff0c;\u800c\u4e0d\u662f\u50cf SE\/ECA \u90a3\u6837\u5b8c\u5168\u4e22\u5f03\u7a7a\u95f4\u4f4d\u7f6e\u4fe1\u606f&#xff0c;\u4e5f\u4e0d\u50cf CBAM \u90a3\u6837\u7528 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        7<\/p>\n<p>        \u00d7<\/p>\n<p>        7<\/p>\n<p>       7\\\\times7<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">7<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u9690\u5f0f\u5efa\u6a21\u4f4d\u7f6e\u3002<\/p>\n<p>\u5177\u4f53\u505a\u6cd5\u662f\u7528\u4e24\u4e2a\u65b9\u5411\u7684 1D \u5168\u5c40\u5e73\u5747\u6c60\u5316\u5206\u522b\u751f\u6210\u6c34\u5e73\u548c\u5782\u76f4\u7684\u901a\u9053\u63cf\u8ff0\u5411\u91cf&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>          c<\/p>\n<p>          h<\/p>\n<p>         (<\/p>\n<p>         h<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>          1<\/p>\n<p>          W<\/p>\n<p>          \u2211<\/p>\n<p>           0<\/p>\n<p>           \u2264<\/p>\n<p>           j<\/p>\n<p>           &lt;<\/p>\n<p>           W<\/p>\n<p>          x<\/p>\n<p>          c<\/p>\n<p>         (<\/p>\n<p>         h<\/p>\n<p>         ,<\/p>\n<p>         j<\/p>\n<p>         )<\/p>\n<p>        z_c^h(h) &#061; \\\\frac{1}{W} \\\\sum_{0 \\\\le j &lt; W} x_c(h, j)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1491em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">h<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.7519em;vertical-align: -1.4304em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.8557em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">0<\/span><span class=\"mrel mtight\">\u2264<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\">&lt;<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4304em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>          c<\/p>\n<p>          w<\/p>\n<p>         (<\/p>\n<p>         w<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>          1<\/p>\n<p>          H<\/p>\n<p>          \u2211<\/p>\n<p>           0<\/p>\n<p>           \u2264<\/p>\n<p>           i<\/p>\n<p>           &lt;<\/p>\n<p>           H<\/p>\n<p>          x<\/p>\n<p>          c<\/p>\n<p>         (<\/p>\n<p>         i<\/p>\n<p>         ,<\/p>\n<p>         w<\/p>\n<p>         )<\/p>\n<p>        z_c^w(w) &#061; \\\\frac{1}{H} \\\\sum_{0 \\\\le i &lt; H} x_c(i, w)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7144em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0269em\">w<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.711em;vertical-align: -1.3895em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.8557em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">0<\/span><span class=\"mrel mtight\">\u2264<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">&lt;<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3895em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7136\u540e\u628a\u8fd9\u4e24\u4e2a\u65b9\u5411\u7684\u63cf\u8ff0\u5411\u91cf\u62fc\u63a5\u540e\u5171\u540c\u9001\u5165\u4e00\u4e2a\u8f7b\u91cf\u7684\u53d8\u6362\u6a21\u5757&#xff0c;\u751f\u6210\u5e26\u6709\u4f4d\u7f6e\u4fe1\u606f\u7684\u901a\u9053\u6ce8\u610f\u529b&#xff0c;\u6700\u7ec8\u5bf9\u539f\u59cb\u7279\u5f81\u56fe\u505a\u52a0\u6743\u3002\u8fd9\u4f7f\u5f97\u6a21\u578b\u5728\u5173\u6ce8&#034;\u54ea\u4e9b\u901a\u9053\u91cd\u8981&#034;\u7684\u540c\u65f6&#xff0c;\u8fd8\u80fd\u611f\u77e5\u5230\u76ee\u6807\u7684\u5927\u81f4\u4f4d\u7f6e&#xff08;\u6c34\u5e73\/\u5782\u76f4\u5750\u6807&#xff09;&#xff0c;\u5bf9\u9700\u8981\u7cbe\u786e\u5b9a\u4f4d\u7684\u68c0\u6d4b\u4efb\u52a1\u7279\u522b\u6709\u7528\u3002<\/p>\n<h3>2.3 Neck \u6539\u8fdb&#xff1a;\u7279\u5f81\u878d\u5408\u7684&#034;\u7cbe\u88c5\u4fee&#034;<\/h3>\n<p>\u5982\u679c\u6ce8\u610f\u529b\u673a\u5236\u662f\u5bf9\u5355\u4e2a\u7279\u5f81\u56fe\u505a&#034;\u7cbe\u7ec6\u5316\u5904\u7406&#034;&#xff0c;\u90a3 Neck \u7684\u6539\u8fdb\u5c31\u662f\u5bf9&#034;\u8de8\u5c3a\u5ea6\u7279\u5f81\u878d\u5408\u8fc7\u7a0b&#034;\u505a\u4f18\u5316\u3002\u8fd9\u4e24\u8005\u89e3\u51b3\u7684\u662f\u4e0d\u540c\u5c42\u6b21\u7684\u95ee\u9898&#xff0c;\u4e0d\u80fd\u4e92\u76f8\u66ff\u4ee3\u3002<\/p>\n<h4>2.3.1 \u4e3a\u4ec0\u4e48\u9ed8\u8ba4\u7684 PAN \u4e0d\u591f&#xff1f;<\/h4>\n<p>YOLOv10 \u9ed8\u8ba4\u7684 Neck \u662f PAN&#xff08;Path Aggregation Network&#xff09;&#xff0c;\u7ed3\u6784\u662f&#xff1a;\u5148\u81ea\u9876\u5411\u4e0b&#xff08;Top-Down&#xff0c;\u6df1\u5c42\u9ad8\u8bed\u4e49\u7279\u5f81\u878d\u5408\u5230\u6d45\u5c42\u9ad8\u5206\u8fa8\u7387\u7279\u5f81&#xff09;&#xff0c;\u518d\u81ea\u5e95\u5411\u4e0a&#xff08;Bottom-Up&#xff0c;\u6d45\u5c42\u9ad8\u5206\u8fa8\u7387\u7279\u5f81\u878d\u5408\u5230\u6df1\u5c42&#xff09;\u3002\u8fd9\u662f\u76ee\u524d\u68c0\u6d4b\u6a21\u578b Neck \u8bbe\u8ba1\u7684\u4e3b\u6d41\u9009\u62e9&#xff0c;\u5df2\u7ecf\u76f8\u5f53\u6210\u719f\u3002<\/p>\n<p>\u4f46 PAN \u6709\u4e00\u4e2a\u4e0d\u592a\u660e\u663e\u7684\u95ee\u9898&#xff1a;\u5b83\u5728\u878d\u5408\u4e0d\u540c\u5c3a\u5ea6\u7684\u7279\u5f81\u65f6&#xff0c;\u7528\u7684\u662f&#034;\u7b49\u6743\u91cd&#034;\u7684\u62fc\u63a5\u6216\u76f8\u52a0&#xff0c;\u4e5f\u5c31\u662f\u8bf4&#xff0c;P3 \u5c42\u7684\u7279\u5f81\u548c P5 \u5c42\u7684\u7279\u5f81&#xff0c;\u5728\u6700\u7ec8\u7684\u878d\u5408\u7ed3\u679c\u91cc\u5360\u7684\u6bd4\u91cd\u662f\u7531\u7f51\u7edc\u81ea\u884c\u5b66\u4e60\u7684&#xff0c;\u6ca1\u6709\u663e\u5f0f\u7684&#034;\u54ea\u4e2a\u5c3a\u5ea6\u66f4\u91cd\u8981&#034;\u7684\u673a\u5236\u3002\u5728\u76ee\u6807\u5c3a\u5ea6\u5206\u5e03\u6bd4\u8f83\u5747\u5300\u7684\u573a\u666f\u4e0b&#xff0c;\u8fd9\u4e2a&#034;\u5e73\u7b49\u4e3b\u4e49&#034;\u7684\u7b56\u7565\u6ca1\u4ec0\u4e48\u95ee\u9898&#xff1b;\u4f46\u5728\u5927\u5c0f\u76ee\u6807\u5dee\u5f02\u60ac\u6b8a\u7684\u573a\u666f\u4e0b&#xff08;\u6bd4\u5982\u540c\u65f6\u5b58\u5728\u884c\u4eba\u8fdc\u666f\u5c0f\u76ee\u6807\u548c\u8fd1\u5904\u5927\u8d27\u8f66\u7684\u4ea4\u901a\u76d1\u63a7\u573a\u666f&#xff09;&#xff0c;\u8fd9\u79cd\u7b49\u6743\u878d\u5408\u53ef\u80fd\u4f1a\u5bfc\u81f4\u67d0\u4e00\u5c3a\u5ea6\u7684\u7279\u5f81\u88ab&#034;\u7a00\u91ca&#034;\u3002<\/p>\n<h4>2.3.2 BiFPN&#xff1a;\u53ef\u5b66\u4e60\u7684\u52a0\u6743\u7279\u5f81\u91d1\u5b57\u5854<\/h4>\n<p>BiFPN&#xff08;Bi-directional Feature Pyramid Network&#xff09; \u7684\u6838\u5fc3\u6539\u8fdb\u662f\u5f15\u5165\u4e86\u53ef\u5b66\u4e60\u7684\u6743\u91cd&#xff0c;\u8ba9\u6bcf\u4e2a\u878d\u5408\u8282\u70b9\u81ea\u5df1\u51b3\u5b9a\u5404\u8f93\u5165\u7279\u5f81\u7684\u6bd4\u91cd&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         O<\/p>\n<p>         &#061;<\/p>\n<p>          \u2211<\/p>\n<p>          i<\/p>\n<p>           w<\/p>\n<p>           i<\/p>\n<p>           \u03f5<\/p>\n<p>           &#043;<\/p>\n<p>            \u2211<\/p>\n<p>            j<\/p>\n<p>            w<\/p>\n<p>            j<\/p>\n<p>         \u22c5<\/p>\n<p>          I<\/p>\n<p>          i<\/p>\n<p>        O &#061; \\\\sum_{i} \\\\frac{w_i}{\\\\epsilon &#043; \\\\sum_j w_j} \\\\cdot I_i<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3852em;vertical-align: -1.2777em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03f5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.162em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4358em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1218em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         w<\/p>\n<p>         i<\/p>\n<p>       w_i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u53ef\u5b66\u4e60\u7684\u6807\u91cf\u6743\u91cd&#xff08;\u7ecf\u8fc7 ReLU \u4fdd\u8bc1\u975e\u8d1f&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03f5<\/p>\n<p>        &#061;<\/p>\n<p>        0.0001<\/p>\n<p>       \\\\epsilon &#061; 0.0001<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">\u03f5<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.0001<\/span><\/span><\/span><\/span><\/span> \u9632\u6b62\u9664\u96f6&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         I<\/p>\n<p>         i<\/p>\n<p>       I_i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u5404\u8f93\u5165\u7279\u5f81\u56fe&#xff08;\u7ecf\u8fc7 resize \u5bf9\u9f50\u5206\u8fa8\u7387\u540e&#xff09;\u3002<\/p>\n<p>\u8fd9\u4e2a\u6743\u91cd\u5f52\u4e00\u5316&#xff08;Fast Normalized Fusion&#xff09;\u6bd4 Softmax \u5f52\u4e00\u5316\u8ba1\u7b97\u6548\u7387\u9ad8&#xff0c;\u540c\u65f6\u4fdd\u8bc1\u4e86\u6240\u6709\u6743\u91cd\u4e4b\u548c\u4e3a 1&#xff08;\u4fbf\u4e8e\u8bad\u7ec3\u7a33\u5b9a&#xff09;\u3002<\/p>\n<p>\u6b64\u5916&#xff0c;BiFPN \u8fd8\u505a\u4e86\u4e00\u4e2a\u7ed3\u6784\u4e0a\u7684\u6539\u8fdb&#xff1a;\u5728 Top-Down \u548c Bottom-Up \u4e4b\u95f4&#xff0c;\u5bf9\u6bcf\u4e2a\u4e2d\u95f4\u8282\u70b9\u989d\u5916\u5f15\u5165\u4e86\u4e00\u6761\u6765\u81ea\u539f\u59cb&#xff08;\u672a\u7ecf\u8fc7\u878d\u5408\u7684&#xff09;\u540c\u5206\u8fa8\u7387\u7279\u5f81\u7684&#034;\u76f4\u8fde&#034;\u8fb9&#xff0c;\u5f62\u6210\u771f\u6b63\u7684\u53cc\u5411\u878d\u5408\u3002\u8fd9\u6761\u76f4\u8fde\u8fb9\u5728\u53cd\u5411\u4f20\u64ad\u65f6\u76f8\u5f53\u4e8e\u4e00\u4e2a&#034;\u68af\u5ea6\u9ad8\u901f\u516c\u8def&#034;&#xff0c;\u7f13\u89e3\u4e86\u6df1\u5c42\u7279\u5f81\u878d\u5408\u4e2d\u7684\u68af\u5ea6\u6d88\u5931\u95ee\u9898\u3002<\/p>\n<p>\u5728\u5de5\u7a0b\u5b9e\u8df5\u4e2d&#xff0c;BiFPN \u5728\u591a\u5c3a\u5ea6\u76ee\u6807\u6df7\u5408\u573a\u666f\u4e0b\u76f8\u5bf9\u4e8e PAN \u901a\u5e38\u6709 1%-2% \u7684 mAP \u63d0\u5347&#xff0c;\u4f46\u4ee3\u4ef7\u662f\u8ba1\u7b97\u91cf\u7565\u6709\u589e\u52a0&#xff08;\u4e3b\u8981\u662f\u591a\u4e86\u51e0\u6b21 resize \u64cd\u4f5c\u548c\u989d\u5916\u7684\u6743\u91cd\u4e58\u6cd5&#xff09;\u3002\u5982\u679c\u4f60\u7684\u573a\u666f\u662f\u5927\u5c0f\u76ee\u6807\u6df7\u6742\u3001\u5404\u5c3a\u5ea6\u76ee\u6807\u7684\u9891\u7387\u5dee\u5f02\u8f83\u5927&#xff0c;BiFPN \u662f\u4e00\u4e2a\u503c\u5f97\u4f18\u5148\u8003\u8651\u7684 Neck \u66ff\u6362\u65b9\u6848\u3002<\/p>\n<h4>2.3.3 P2 \u5c0f\u76ee\u6807\u68c0\u6d4b\u5c42&#xff1a;\u76f4\u63a5\u6269\u5927\u5c0f\u76ee\u6807\u7684&#034;\u6218\u573a&#034;<\/h4>\n<p>PAN \u9ed8\u8ba4\u8f93\u51fa\u4e09\u4e2a\u5c3a\u5ea6&#xff1a;P3&#xff08;stride&#061;8&#xff09;\u3001P4&#xff08;stride&#061;16&#xff09;\u3001P5&#xff08;stride&#061;32&#xff09;\u3002\u5bf9\u4e8e\u4e00\u4e2a 640\u00d7640 \u7684\u8f93\u5165&#xff0c;\u4e09\u4e2a\u5c3a\u5ea6\u7684\u7279\u5f81\u56fe\u5206\u8fa8\u7387\u5206\u522b\u662f 80\u00d780\u300140\u00d740\u300120\u00d720\u3002<\/p>\n<p>\u5c0f\u76ee\u6807\u7684\u76f4\u63a5\u95ee\u9898\u662f&#xff1a;\u76ee\u6807\u672c\u8eab\u5728\u539f\u59cb\u56fe\u50cf\u91cc\u5c31\u5f88\u5c0f&#xff08;\u6bd4\u5982 10\u00d710 \u50cf\u7d20&#xff09;&#xff0c;\u7ecf\u8fc7 stride&#061;8 \u7684\u4e0b\u91c7\u6837\u4e4b\u540e&#xff0c;\u5728 P3 \u7279\u5f81\u56fe\u4e0a\u53ea\u6709 1.25\u00d71.25 \u4e2a\u7279\u5f81\u70b9&#xff0c;\u5df2\u7ecf\u63a5\u8fd1&#034;\u7279\u5f81\u7a00\u758f\u5316&#034;\u7684\u4e34\u754c\u3002\u5f3a\u884c\u7528 P3 \u7684\u7279\u5f81\u6765\u68c0\u6d4b\u8fd9\u4e48\u5c0f\u7684\u76ee\u6807&#xff0c;\u53ec\u56de\u7387\u4e0a\u4e0d\u53bb\u662f\u5fc5\u7136\u7684\u3002<\/p>\n<p>\u589e\u52a0 P2 \u68c0\u6d4b\u5c42&#xff0c;\u610f\u5473\u7740\u5728 stride&#061;4&#xff08;\u5206\u8fa8\u7387 160\u00d7160&#xff09;\u4e0a\u989d\u5916\u5e03\u7f6e\u4e00\u5957\u68c0\u6d4b\u5934&#xff0c;\u8fd9\u4e2a\u5206\u8fa8\u7387\u4e0b&#xff0c;\u539f\u59cb 10\u00d710 \u7684\u5c0f\u76ee\u6807\u6709 2.5\u00d72.5 \u4e2a\u7279\u5f81\u70b9&#xff0c;\u867d\u7136\u8fd8\u662f\u4e0d\u591a&#xff0c;\u4f46\u5df2\u7ecf\u6709\u4e86\u8d28\u7684\u6539\u53d8\u3002\u5927\u91cf\u5b9e\u9a8c\u8bc1\u660e&#xff0c;P2 \u5c42\u5bf9\u4e8e\u68c0\u6d4b\u8fb9\u957f\u5c0f\u4e8e 32 \u50cf\u7d20\u7684\u76ee\u6807&#xff0c;\u53ec\u56de\u7387\u63d0\u5347\u901a\u5e38\u5728 3%-8%&#xff0c;\u5bf9\u6574\u4f53 mAP&#xff08;small&#xff09;\u7684\u63d0\u5347\u53ef\u80fd\u8d85\u8fc7 5%\u3002<\/p>\n<p>\u5f53\u7136&#xff0c;\u4ee3\u4ef7\u4e5f\u5f88\u660e\u663e&#xff1a;160\u00d7160 \u7684\u7279\u5f81\u56fe\u4e0a\u505a\u5377\u79ef&#xff0c;\u8ba1\u7b97\u91cf\u662f 80\u00d780 \u7684 4 \u500d\u3002\u6240\u4ee5 P2 \u5c42\u4e0d\u662f&#034;\u968f\u624b\u4e00\u52a0&#034;\u7684&#xff0c;\u53ea\u6709\u5f53\u4f60\u7684\u573a\u666f\u786e\u5b9e\u6709\u5927\u91cf\u5c0f\u76ee\u6807&#xff0c;\u4e14\u786c\u4ef6\u7b97\u529b\u6709\u4f59\u91cf\u65f6&#xff0c;P2 \u624d\u662f\u5408\u7406\u7684\u9009\u62e9\u3002<\/p>\n<h3>2.4 \u635f\u5931\u51fd\u6570\u6539\u8fdb&#xff1a;\u6539&#034;\u6253\u5206\u89c4\u5219&#034;\u800c\u975e&#034;\u9009\u624b&#034;<\/h3>\n<p>\u635f\u5931\u51fd\u6570\u7684\u6539\u8fdb\u662f\u6da8\u70b9\u5de5\u5177\u7bb1\u91cc\u4e00\u4e2a\u7279\u522b&#034;\u5212\u7b97&#034;\u7684\u65b9\u5411\u2014\u2014\u5b83\u4e0d\u6539\u53d8\u7f51\u7edc\u7ed3\u6784&#xff0c;\u5bf9\u63a8\u7406\u901f\u5ea6\u6ca1\u6709\u4efb\u4f55\u5f71\u54cd&#xff0c;\u7eaf\u7cb9\u662f\u8bad\u7ec3\u9636\u6bb5\u7684&#034;\u6e38\u620f\u89c4\u5219&#034;\u8c03\u6574\u3002\u8c03\u597d\u4e86&#xff0c;\u7cbe\u5ea6\u76f4\u63a5\u63d0\u5347&#xff1b;\u8c03\u4e0d\u597d&#xff0c;\u6700\u591a\u5c31\u662f\u8bad\u7ec3\u4e0d\u7a33\u5b9a&#xff0c;\u4e0d\u4f1a\u7834\u574f\u5df2\u6709\u7684\u5de5\u7a0b\u57fa\u7840\u3002<\/p>\n<h4>2.4.1 \u4ece IoU \u5230 CIoU&#xff1a;\u56de\u5f52\u635f\u5931\u7684\u6f14\u8fdb<\/h4>\n<p>\u65e9\u671f\u7684\u68c0\u6d4b\u6a21\u578b\u7528 MSE Loss \u6765\u4f18\u5316\u8fb9\u754c\u6846\u7684\u5750\u6807&#xff0c;\u95ee\u9898\u5f88\u660e\u663e&#xff1a;MSE \u72ec\u7acb\u5730\u4f18\u5316 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        ,<\/p>\n<p>        y<\/p>\n<p>        ,<\/p>\n<p>        w<\/p>\n<p>        ,<\/p>\n<p>        h<\/p>\n<p>        )<\/p>\n<p>       (x, y, w, h)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u56db\u4e2a\u503c&#xff0c;\u6ca1\u6709\u8003\u8651\u9884\u6d4b\u6846\u548c\u771f\u5b9e\u6846\u4e4b\u95f4\u7684&#034;\u6574\u4f53\u5f62\u72b6\u91cd\u53e0&#034;\u5173\u7cfb\u3002<\/p>\n<p>IoU Loss \u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898&#xff0c;\u5b83\u76f4\u63a5\u4f18\u5316\u4e24\u4e2a\u6846\u7684\u91cd\u53e0\u6bd4\u4f8b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>           \u2223<\/p>\n<p>           B<\/p>\n<p>           \u2229<\/p>\n<p>            B<\/p>\n<p>             g<\/p>\n<p>             t<\/p>\n<p>           \u2223<\/p>\n<p>           \u2223<\/p>\n<p>           B<\/p>\n<p>           \u222a<\/p>\n<p>            B<\/p>\n<p>             g<\/p>\n<p>             t<\/p>\n<p>           \u2223<\/p>\n<p>        \\\\mathcal{L}_{IoU} &#061; 1 &#8211; \\\\frac{|\\\\mathbf{B} \\\\cap \\\\mathbf{B}^{gt}|}{|\\\\mathbf{B} \\\\cup \\\\mathbf{B}^{gt}|}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.4066em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4706em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathbf\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">B<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7196em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathbf\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">B<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4f46 IoU Loss \u6709\u4e00\u4e2a\u4e25\u91cd\u7684\u7f3a\u9677&#xff1a;\u5f53\u9884\u6d4b\u6846\u548c\u771f\u5b9e\u6846\u5b8c\u5168\u4e0d\u91cd\u53e0\u65f6&#xff0c;IoU&#061;0&#xff0c;\u68af\u5ea6\u4e3a\u96f6&#xff0c;\u8bad\u7ec3\u505c\u6ede\u3002GIoU\u3001DIoU\u3001CIoU \u4f9d\u6b21\u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898&#xff1a;<\/p>\n<p>GIoU \u5f15\u5165\u4e86\u6700\u5c0f\u5916\u63a5\u77e9\u5f62&#xff0c;\u901a\u8fc7\u60e9\u7f5a\u5916\u63a5\u77e9\u5f62\u4e2d\u975e\u91cd\u53e0\u533a\u57df\u7684\u6bd4\u4f8b\u6765\u63d0\u4f9b\u975e\u91cd\u53e0\u65f6\u7684\u68af\u5ea6&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           G<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>         I<\/p>\n<p>         o<\/p>\n<p>         U<\/p>\n<p>         &#043;<\/p>\n<p>           \u2223<\/p>\n<p>           C<\/p>\n<p>           \u2216<\/p>\n<p>           (<\/p>\n<p>           B<\/p>\n<p>           \u222a<\/p>\n<p>            B<\/p>\n<p>             g<\/p>\n<p>             t<\/p>\n<p>           )<\/p>\n<p>           \u2223<\/p>\n<p>           \u2223<\/p>\n<p>           C<\/p>\n<p>           \u2223<\/p>\n<p>        \\\\mathcal{L}_{GIoU} &#061; 1 &#8211; IoU &#043; \\\\frac{|\\\\mathbf{C} \\\\setminus (\\\\mathbf{B} \\\\cup \\\\mathbf{B}^{gt})|}{|\\\\mathbf{C}|}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">G<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.4066em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4706em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathbf\">C<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathbf\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2216<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">B<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        C<\/p>\n<p>       \\\\mathbf{C}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">C<\/span><\/span><\/span><\/span><\/span> \u662f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        B<\/p>\n<p>       \\\\mathbf{B}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">B<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         B<\/p>\n<p>          g<\/p>\n<p>          t<\/p>\n<p>       \\\\mathbf{B}^{gt}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7936em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">B<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u6700\u5c0f\u5916\u63a5\u77e9\u5f62\u3002<\/p>\n<p>DIoU \u5728 IoU \u57fa\u7840\u4e0a\u5f15\u5165\u4e86\u4e2d\u5fc3\u70b9\u8ddd\u79bb\u60e9\u7f5a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           D<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>         I<\/p>\n<p>         o<\/p>\n<p>         U<\/p>\n<p>         &#043;<\/p>\n<p>            \u03c1<\/p>\n<p>            2<\/p>\n<p>           (<\/p>\n<p>           b<\/p>\n<p>           ,<\/p>\n<p>            b<\/p>\n<p>             g<\/p>\n<p>             t<\/p>\n<p>           )<\/p>\n<p>           c<\/p>\n<p>           2<\/p>\n<p>        \\\\mathcal{L}_{DIoU} &#061; 1 &#8211; IoU &#043; \\\\frac{\\\\rho^2(\\\\mathbf{b}, \\\\mathbf{b}^{gt})}{c^2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.1771em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4911em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">b<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c1<\/p>\n<p>        (<\/p>\n<p>        \u22c5<\/p>\n<p>        )<\/p>\n<p>       \\\\rho(\\\\cdot)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u22c5<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u6b27\u6c0f\u8ddd\u79bb&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        b<\/p>\n<p>       \\\\mathbf{b}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathbf\">b<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         b<\/p>\n<p>          g<\/p>\n<p>          t<\/p>\n<p>       \\\\mathbf{b}^{gt}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7936em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u9884\u6d4b\u6846\u548c\u771f\u5b9e\u6846\u7684\u4e2d\u5fc3\u70b9&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        c<\/p>\n<p>       c<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span> \u662f\u6700\u5c0f\u5916\u63a5\u77e9\u5f62\u7684\u5bf9\u89d2\u7ebf\u957f\u5ea6\u3002<\/p>\n<p>CIoU \u5728 DIoU \u57fa\u7840\u4e0a\u518d\u52a0\u4e86\u5bbd\u9ad8\u6bd4\u4e00\u81f4\u6027\u60e9\u7f5a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           C<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>         I<\/p>\n<p>         o<\/p>\n<p>         U<\/p>\n<p>         &#043;<\/p>\n<p>            \u03c1<\/p>\n<p>            2<\/p>\n<p>           (<\/p>\n<p>           b<\/p>\n<p>           ,<\/p>\n<p>            b<\/p>\n<p>             g<\/p>\n<p>             t<\/p>\n<p>           )<\/p>\n<p>           c<\/p>\n<p>           2<\/p>\n<p>         &#043;<\/p>\n<p>         \u03b1<\/p>\n<p>         v<\/p>\n<p>        \\\\mathcal{L}_{CIoU} &#061; 1 &#8211; IoU &#043; \\\\frac{\\\\rho^2(\\\\mathbf{b}, \\\\mathbf{b}^{gt})}{c^2} &#043; \\\\alpha v<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.1771em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4911em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">b<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         v<\/p>\n<p>         &#061;<\/p>\n<p>          4<\/p>\n<p>           \u03c0<\/p>\n<p>           2<\/p>\n<p>           (<\/p>\n<p>           arctan<\/p>\n<p>           \u2061<\/p>\n<p>             w<\/p>\n<p>              g<\/p>\n<p>              t<\/p>\n<p>             h<\/p>\n<p>              g<\/p>\n<p>              t<\/p>\n<p>           \u2212<\/p>\n<p>           arctan<\/p>\n<p>           \u2061<\/p>\n<p>            w<\/p>\n<p>            h<\/p>\n<p>           )<\/p>\n<p>          2<\/p>\n<p>         ,<\/p>\n<p>         \u03b1<\/p>\n<p>         &#061;<\/p>\n<p>          v<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>           )<\/p>\n<p>           &#043;<\/p>\n<p>           v<\/p>\n<p>        v &#061; \\\\frac{4}{\\\\pi^2}\\\\left(\\\\arctan\\\\frac{w^{gt}}{h^{gt}} &#8211; \\\\arctan\\\\frac{w}{h}\\\\right)^2, \\\\quad \\\\alpha &#061; \\\\frac{v}{(1 &#8211; IoU) &#043; v}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.6246em;vertical-align: -0.95em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mop\">arctan<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4706em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7196em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mop\">arctan<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.6746em\"><span class=\"\" style=\"top: -3.9235em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0436em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>CIoU \u662f YOLOv10 \u9ed8\u8ba4\u4f7f\u7528\u7684 IoU \u635f\u5931&#xff0c;\u5df2\u7ecf\u76f8\u5f53\u6210\u719f\u3002\u4f46\u5728\u6b64\u57fa\u7840\u4e0a&#xff0c;\u8fd1\u5e74\u6765\u8fd8\u51fa\u73b0\u4e86\u51e0\u4e2a\u6709\u610f\u601d\u7684\u6539\u8fdb&#xff1a;<\/p>\n<p>**SIoU&#xff08;Shape-IoU&#xff09;**\u8ba4\u4e3a CIoU \u7684\u5bbd\u9ad8\u6bd4\u60e9\u7f5a\u5728\u76ee\u6807\u5f62\u72b6\u5dee\u5f02\u8f83\u5927\u65f6\u4f1a\u5f15\u5165\u4e0d\u7a33\u5b9a\u68af\u5ea6&#xff0c;\u6539\u4e3a\u76f4\u63a5\u5bf9\u9884\u6d4b\u6846\u548c\u771f\u5b9e\u6846\u7684\u89d2\u5ea6\u5dee\u5f02\u5efa\u6a21&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           S<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>         I<\/p>\n<p>         o<\/p>\n<p>         U<\/p>\n<p>         &#043;<\/p>\n<p>           \u0394<\/p>\n<p>           &#043;<\/p>\n<p>           \u03a9<\/p>\n<p>          2<\/p>\n<p>        \\\\mathcal{L}_{SIoU} &#061; 1 &#8211; IoU &#043; \\\\frac{\\\\Delta &#043; \\\\Omega}{2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0463em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0394<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">\u03a9<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u0394<\/p>\n<p>       \\\\Delta<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><\/span><\/span><\/span><\/span> \u662f\u8ddd\u79bb\u4ee3\u4ef7&#xff08;\u57fa\u4e8e\u5411\u91cf\u89d2\u5ea6&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03a9<\/p>\n<p>       \\\\Omega<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u03a9<\/span><\/span><\/span><\/span><\/span> \u662f\u5f62\u72b6\u4ee3\u4ef7&#xff08;\u57fa\u4e8e\u5bbd\u9ad8\u5dee\u5f02&#xff09;\u3002\u5b9e\u9a8c\u8868\u660e SIoU \u5728\u4e00\u4e9b\u65cb\u8f6c\u76ee\u6807\u6216\u5f62\u72b6\u4e0d\u89c4\u5219\u76ee\u6807\u7684\u573a\u666f\u4e0b&#xff0c;\u6536\u655b\u66f4\u5feb\u3002<\/p>\n<p>**WIoU&#xff08;Wise-IoU&#xff09;**\u7684\u521b\u65b0\u70b9\u662f\u5f15\u5165\u4e86\u4e00\u4e2a\u52a8\u6001\u805a\u7126\u673a\u5236\u2014\u2014\u4e0d\u540c\u8d28\u91cf\u7684\u6837\u672c&#xff08;\u4ee5&#034;\u79bb\u7fa4\u7a0b\u5ea6&#034;\u6765\u8861\u91cf&#xff09;&#xff0c;\u7ed9\u4e88\u4e0d\u540c\u7684\u635f\u5931\u6743\u91cd&#xff0c;\u9ad8\u8d28\u91cf\u7684\u666e\u901a\u6837\u672c\u6743\u91cd\u8f83\u4f4e&#xff0c;\u6a21\u578b\u66f4\u5173\u6ce8\u90a3\u4e9b&#034;\u8fb9\u754c\u6846\u8d28\u91cf\u4e0d\u7a33\u5b9a&#034;\u7684\u6837\u672c&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         L<\/p>\n<p>         \u2217<\/p>\n<p>          W<\/p>\n<p>          I<\/p>\n<p>          o<\/p>\n<p>          U<\/p>\n<p>         &#061;<\/p>\n<p>         r<\/p>\n<p>         \u22c5<\/p>\n<p>         L<\/p>\n<p>         \u2217<\/p>\n<p>           I<\/p>\n<p>           o<\/p>\n<p>           U<\/p>\n<p>          \u2217<\/p>\n<p>         ,<\/p>\n<p>         r<\/p>\n<p>         &#061;<\/p>\n<p>           e<\/p>\n<p>            (<\/p>\n<p>            x<\/p>\n<p>            \u2212<\/p>\n<p>             x<\/p>\n<p>             m<\/p>\n<p>             )<\/p>\n<p>             2<\/p>\n<p>            &#043;<\/p>\n<p>            (<\/p>\n<p>            y<\/p>\n<p>            \u2212<\/p>\n<p>             y<\/p>\n<p>             m<\/p>\n<p>             )<\/p>\n<p>             2<\/p>\n<p>           W<\/p>\n<p>           f<\/p>\n<p>           2<\/p>\n<p>        \\\\mathcal{L}*{WIoU} &#061; r \\\\cdot \\\\mathcal{L}*{IoU}^*, \\\\quad r &#061; \\\\frac{e^{(x &#8211; x_m)^2 &#043; (y &#8211; y_m)^2}}{\\\\mathcal{W}_f^2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">L<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">L<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9564em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7619em\"><span class=\"\" style=\"top: -3.1362em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.7873em;vertical-align: -1.1234em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.6639em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0822em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7959em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.0822em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/span><\/span><\/span><span class=\"\" style=\"top: -3.0448em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4374em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9869em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose mtight\"><span class=\"mclose mtight\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0359em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose mtight\"><span class=\"mclose mtight\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1234em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         f<\/p>\n<p>       \\\\mathcal{W}_f<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0822em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0822em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u805a\u7126\u7cfb\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        r<\/p>\n<p>       r<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span> \u662f\u57fa\u4e8e\u4e2d\u5fc3\u70b9\u4f4d\u7f6e\u7684\u52a8\u6001\u6743\u91cd\u3002WIoU v3&#xff08;\u6700\u65b0\u7248\u672c&#xff09;\u88ab\u8bc1\u660e\u5728\u591a\u4e2a COCO benchmark \u4e0a\u80fd\u6709 0.5%-1.5% \u7684 mAP \u63d0\u5347&#xff0c;\u4e14\u5bf9\u8fb9\u754c\u6846\u8d28\u91cf\u5dee\u7684\u6837\u672c\u9c81\u68d2\u6027\u66f4\u597d\u3002<\/p>\n<h4>2.4.2 \u9488\u5bf9\u5c0f\u76ee\u6807\u7684 NWD \u635f\u5931<\/h4>\n<p>\u5c0f\u76ee\u6807\u7684 IoU \u8ba1\u7b97\u5b58\u5728\u4e00\u4e2a\u672c\u8d28\u6027\u7684\u4e0d\u7a33\u5b9a\u95ee\u9898&#xff1a;\u5bf9\u4e8e\u5c0f\u76ee\u6807&#xff0c;\u9884\u6d4b\u6846\u7684\u5fae\u5c0f\u504f\u79fb\u4f1a\u5bfc\u81f4 IoU \u6570\u503c\u7684\u5267\u70c8\u53d8\u5316\u3002\u5047\u8bbe\u771f\u5b9e\u6846\u662f\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        10<\/p>\n<p>        \u00d7<\/p>\n<p>        10<\/p>\n<p>       10 \\\\times 10<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">10<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span> \u7684\u5c0f\u76ee\u6807&#xff0c;\u9884\u6d4b\u6846\u504f\u79fb\u4e86 2 \u4e2a\u50cf\u7d20&#xff0c;IoU \u53ef\u80fd\u4ece 0.64 \u9aa4\u964d\u5230 0.16&#xff0c;\u4ea7\u751f\u975e\u5e38\u5927\u7684\u68af\u5ea6&#xff0c;\u53cd\u800c\u4e0d\u5229\u4e8e\u7a33\u5b9a\u8bad\u7ec3\u3002<\/p>\n<p>NWD&#xff08;Normalized Wasserstein Distance&#xff09;\u7684\u601d\u8def\u662f&#xff1a;\u628a\u8fb9\u754c\u6846\u5efa\u6a21\u4e3a\u4e8c\u7ef4\u9ad8\u65af\u5206\u5e03&#xff08;\u5747\u503c\u4e3a\u6846\u7684\u4e2d\u5fc3\u70b9&#xff0c;\u534f\u65b9\u5dee\u4e3a\u6846\u7684\u5bbd\u9ad8&#xff09;&#xff0c;\u7136\u540e\u7528 Wasserstein \u8ddd\u79bb\u6765\u8861\u91cf\u4e24\u4e2a\u5206\u5e03\u4e4b\u95f4\u7684\u76f8\u4f3c\u5ea6&#xff0c;\u800c\u4e0d\u662f\u7528\u9762\u79ef\u91cd\u53e0\u6bd4\u4f8b\u6765\u8861\u91cf\u4e24\u4e2a\u77e9\u5f62\u7684\u76f8\u4f3c\u5ea6\u3002<\/p>\n<p>\u5177\u4f53\u5730&#xff0c;\u628a\u8fb9\u754c\u6846 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        B<\/p>\n<p>        &#061;<\/p>\n<p>        (<\/p>\n<p>         c<\/p>\n<p>         x<\/p>\n<p>        ,<\/p>\n<p>         c<\/p>\n<p>         y<\/p>\n<p>        ,<\/p>\n<p>        w<\/p>\n<p>        ,<\/p>\n<p>        h<\/p>\n<p>        )<\/p>\n<p>       \\\\mathcal{B} &#061; (c_x, c_y, w, h)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0304em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5efa\u6a21\u4e3a\u9ad8\u65af\u5206\u5e03&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         N<\/p>\n<p>         (<\/p>\n<p>         \u03bc<\/p>\n<p>         ,<\/p>\n<p>         \u03a3<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>         \u03bc<\/p>\n<p>         &#061;<\/p>\n<p>         (<\/p>\n<p>          c<\/p>\n<p>          x<\/p>\n<p>         ,<\/p>\n<p>          c<\/p>\n<p>          y<\/p>\n<p>          )<\/p>\n<p>          \u22a4<\/p>\n<p>         ,<\/p>\n<p>         \u03a3<\/p>\n<p>         &#061;<\/p>\n<p>          d<\/p>\n<p>          i<\/p>\n<p>          a<\/p>\n<p>          g<\/p>\n<p>           (<\/p>\n<p>            w<\/p>\n<p>            2<\/p>\n<p>           ,<\/p>\n<p>            h<\/p>\n<p>            2<\/p>\n<p>           )<\/p>\n<p>          2<\/p>\n<p>        \\\\mathcal{N}(\\\\boldsymbol{\\\\mu}, \\\\boldsymbol{\\\\Sigma}), \\\\quad \\\\boldsymbol{\\\\mu} &#061; (c_x, c_y)^\\\\top, \\\\quad \\\\boldsymbol{\\\\Sigma} &#061; \\\\mathrm{diag}\\\\left(\\\\frac{w}{2}, \\\\frac{h}{2}\\\\right)^2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">\u03a3<\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1852em;vertical-align: -0.2861em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u22a4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">\u03a3<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.604em;vertical-align: -0.95em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\" style=\"margin-right: 0.0139em\">diag<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.654em\"><span class=\"\" style=\"top: -3.9029em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4e24\u4e2a\u9ad8\u65af\u5206\u5e03\u4e4b\u95f4\u7684 2-Wasserstein \u8ddd\u79bb\u6709\u95ed\u5408\u89e3&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          W<\/p>\n<p>          2<\/p>\n<p>          2<\/p>\n<p>         (<\/p>\n<p>          N<\/p>\n<p>          1<\/p>\n<p>         ,<\/p>\n<p>          N<\/p>\n<p>          2<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         \u2223<\/p>\n<p>          \u03bc<\/p>\n<p>          1<\/p>\n<p>         \u2212<\/p>\n<p>          \u03bc<\/p>\n<p>          2<\/p>\n<p>          \u2223<\/p>\n<p>          2<\/p>\n<p>         &#043;<\/p>\n<p>           \u2223<\/p>\n<p>            \u03a3<\/p>\n<p>            1<\/p>\n<p>             1<\/p>\n<p>             \/<\/p>\n<p>             2<\/p>\n<p>           \u2212<\/p>\n<p>            \u03a3<\/p>\n<p>            2<\/p>\n<p>             1<\/p>\n<p>             \/<\/p>\n<p>             2<\/p>\n<p>           \u2223<\/p>\n<p>          F<\/p>\n<p>          2<\/p>\n<p>        W_2^2(\\\\mathcal{N}_1, \\\\mathcal{N}_2) &#061; |\\\\boldsymbol{\\\\mu}_1 &#8211; \\\\boldsymbol{\\\\mu}_2|^2 &#043; \\\\left|\\\\boldsymbol{\\\\Sigma}_1^{1\/2} &#8211; \\\\boldsymbol{\\\\Sigma}_2^{1\/2}\\\\right|_F^2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1474em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1474em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0537em;vertical-align: -0.6997em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.15em\"><span class=\"\" style=\"top: -3.15em\"><span class=\"pstrut\" style=\"height: 3.8em\"><\/span><span class=\"\" style=\"width: 0.333em;height: 1.8em\"><\/p>\n<p>               <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.65em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">\u03a3<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1\/2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">\u03a3<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1\/2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.15em\"><span class=\"\" style=\"top: -3.15em\"><span class=\"pstrut\" style=\"height: 3.8em\"><\/span><span class=\"\" style=\"width: 0.333em;height: 1.8em\"><\/p>\n<p>               <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.65em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.354em\"><span class=\"\" style=\"top: -2.0003em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">F<\/span><\/span><\/span><span class=\"\" style=\"top: -3.6029em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5bf9\u4e8e\u5bf9\u89d2\u534f\u65b9\u5dee\u77e9\u9635&#xff0c;\u4e0a\u5f0f\u5316\u7b80\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          W<\/p>\n<p>          2<\/p>\n<p>          2<\/p>\n<p>         &#061;<\/p>\n<p>         (<\/p>\n<p>          c<\/p>\n<p>          x<\/p>\n<p>         \u2212<\/p>\n<p>          c<\/p>\n<p>          x<\/p>\n<p>           g<\/p>\n<p>           t<\/p>\n<p>          )<\/p>\n<p>          2<\/p>\n<p>         &#043;<\/p>\n<p>         (<\/p>\n<p>          c<\/p>\n<p>          y<\/p>\n<p>         \u2212<\/p>\n<p>          c<\/p>\n<p>          y<\/p>\n<p>           g<\/p>\n<p>           t<\/p>\n<p>          )<\/p>\n<p>          2<\/p>\n<p>         &#043;<\/p>\n<p>           (<\/p>\n<p>            w<\/p>\n<p>            2<\/p>\n<p>           \u2212<\/p>\n<p>             w<\/p>\n<p>              g<\/p>\n<p>              t<\/p>\n<p>            2<\/p>\n<p>           )<\/p>\n<p>          2<\/p>\n<p>         &#043;<\/p>\n<p>           (<\/p>\n<p>            h<\/p>\n<p>            2<\/p>\n<p>           \u2212<\/p>\n<p>             h<\/p>\n<p>              g<\/p>\n<p>              t<\/p>\n<p>            2<\/p>\n<p>           )<\/p>\n<p>          2<\/p>\n<p>        W_2^2 &#061; (c_x &#8211; c_x^{gt})^2 &#043; (c_y &#8211; c_y^{gt})^2 &#043; \\\\left(\\\\frac{w}{2} &#8211; \\\\frac{w^{gt}}{2}\\\\right)^2 &#043; \\\\left(\\\\frac{h}{2} &#8211; \\\\frac{h^{gt}}{2}\\\\right)^2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1111em;vertical-align: -0.247em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8436em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2472em;vertical-align: -0.3831em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8436em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.6246em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4706em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.6746em\"><span class=\"\" style=\"top: -3.9235em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.6246em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4706em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7936em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.6746em\"><span class=\"\" style=\"top: -3.9235em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230 NWD&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          N<\/p>\n<p>          W<\/p>\n<p>          D<\/p>\n<p>         (<\/p>\n<p>          N<\/p>\n<p>          1<\/p>\n<p>         ,<\/p>\n<p>          N<\/p>\n<p>          2<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         exp<\/p>\n<p>         \u2061<\/p>\n<p>         !<\/p>\n<p>          (<\/p>\n<p>          \u2212<\/p>\n<p>             W<\/p>\n<p>             2<\/p>\n<p>             2<\/p>\n<p>           C<\/p>\n<p>          )<\/p>\n<p>        \\\\mathrm{NWD}(\\\\mathcal{N}_1, \\\\mathcal{N}_2) &#061; \\\\exp!\\\\left(-\\\\frac{\\\\sqrt{W_2^2}}{C}\\\\right)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\">NWD<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1474em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1474em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3em;vertical-align: -1.25em\"><\/span><span class=\"mop\">exp<\/span><span class=\"mclose\">!<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size4\">(<\/span><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.63em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.6802em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9498em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7959em\"><span class=\"\" style=\"top: -2.4337em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.0448em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9098em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>                    <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2902em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size4\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        C<\/p>\n<p>       C<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span> \u662f\u4e00\u4e2a\u4e0e\u6570\u636e\u96c6\u76ee\u6807\u5e73\u5747\u5c3a\u5bf8\u76f8\u5173\u7684\u5e38\u6570\u3002NWD \u635f\u5931\u5b9a\u4e49\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           N<\/p>\n<p>           W<\/p>\n<p>           D<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>          N<\/p>\n<p>          W<\/p>\n<p>          D<\/p>\n<p>         (<\/p>\n<p>         N<\/p>\n<p>         ,<\/p>\n<p>          N<\/p>\n<p>           g<\/p>\n<p>           t<\/p>\n<p>         )<\/p>\n<p>        \\\\mathcal{L}_{NWD} &#061; 1 &#8211; \\\\mathrm{NWD}(\\\\mathcal{N}, \\\\mathcal{N}^{gt})<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0936em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\">NWD<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8436em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u76f8\u6bd4 IoU \u7c7b\u635f\u5931&#xff0c;NWD \u5bf9\u5c0f\u76ee\u6807\u7684\u4f4d\u7f6e\u5fae\u5c0f\u504f\u79fb\u4e0d\u654f\u611f&#xff08;\u56e0\u4e3a\u7528\u5206\u5e03\u76f8\u4f3c\u5ea6\u66ff\u4ee3\u4e86\u9762\u79ef\u91cd\u53e0&#xff09;&#xff0c;\u68af\u5ea6\u66f4\u5e73\u7a33&#xff0c;\u5bf9\u5c0f\u76ee\u6807\u7684\u8bad\u7ec3\u66f4\u53cb\u597d\u3002\u5728\u9065\u611f\u3001\u533b\u7597\u5f71\u50cf\u7b49\u5c0f\u76ee\u6807\u68c0\u6d4b\u573a\u666f&#xff0c;NWD \u901a\u5e38\u80fd\u5e26\u6765 2%-4% \u7684\u5c0f\u76ee\u6807 AP \u63d0\u5347\u3002<\/p>\n<h2>\u4e09\u3001\u63d0\u901f\u65b9\u5411&#xff1a;\u8ba9\u6a21\u578b&#034;\u8dd1\u5f97\u66f4\u5feb&#034;\u7684\u5de5\u7a0b\u5316\u8def\u5f84<\/h2>\n<h3>3.1 \u901f\u5ea6\u7684\u672c\u8d28&#xff1a;FLOPs \u4e0d\u7b49\u4e8e\u5ef6\u8fdf<\/h3>\n<p>\u5728\u8bb2\u63d0\u901f\u6280\u672f\u4e4b\u524d&#xff0c;\u6709\u4e00\u4e2a\u89c2\u5ff5\u5fc5\u987b\u5148\u7ea0\u6b63&#xff1a;FLOPs&#xff08;\u6d6e\u70b9\u8fd0\u7b97\u91cf&#xff09;\u548c\u5b9e\u9645\u63a8\u7406\u5ef6\u8fdf&#xff08;Latency&#xff09;\u4e0d\u662f\u7ebf\u6027\u5173\u7cfb&#xff0c;\u6709\u65f6\u5019\u751a\u81f3\u5b8c\u5168\u4e0d\u76f8\u5173\u3002<\/p>\n<p>\u8fd9\u662f\u5f88\u591a\u540c\u5b66&#xff08;\u5305\u62ec\u5199\u8bba\u6587\u7684\u65f6\u5019&#xff09;\u8e29\u8fc7\u7684\u5751\u3002\u4e00\u4e2a\u6a21\u5757\u7684 FLOPs \u51cf\u5c11\u4e86 30%&#xff0c;\u4e0a\u673a\u5b9e\u6d4b FPS \u5374\u53ea\u6da8\u4e86 5%&#xff0c;\u751a\u81f3\u6709\u65f6\u5019\u8fd8\u964d\u4e86\u2014\u2014\u8fd9\u79cd\u60c5\u51b5\u5b8c\u5168\u53ef\u80fd\u53d1\u751f&#xff0c;\u539f\u56e0\u5728\u4e8e&#xff1a;<\/p>\n<p>\u5f71\u54cd\u5b9e\u9645\u5ef6\u8fdf\u7684&#xff0c;\u9664\u4e86 FLOPs&#xff0c;\u8fd8\u6709&#xff1a;<\/p>\n<li>\n<p>\u5185\u5b58\u8bbf\u95ee\u5f00\u9500&#xff08;Memory Access Cost&#xff0c;MAC&#xff09;&#xff1a;\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef FLOPs \u5f88\u4f4e&#xff0c;\u4f46\u5b83\u628a\u4e00\u4e2a\u6807\u51c6\u5377\u79ef\u62c6\u5206\u6210\u4e86\u4e24\u4e2a kernel&#xff0c;\u589e\u52a0\u4e86\u5185\u5b58\u8bbf\u95ee\u6b21\u6570&#xff0c;\u5728\u5185\u5b58\u5e26\u5bbd\u53d7\u9650\u7684\u786c\u4ef6&#xff08;\u6bd4\u5982 Jetson \u7cfb\u5217&#xff09;\u4e0a&#xff0c;\u8fd9\u4e2a\u989d\u5916\u7684 MAC \u53ef\u80fd\u62b5\u6d88 FLOPs \u51cf\u5c11\u7684\u6536\u76ca\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b97\u5b50\u5e76\u884c\u6548\u7387&#xff1a;GPU \u7684\u5e76\u884c\u8ba1\u7b97\u80fd\u529b\u4f9d\u8d56\u4e8e\u5927\u91cf\u7684&#034;\u76f8\u540c\u8ba1\u7b97&#034;\u88ab\u6279\u91cf\u8c03\u5ea6&#xff08;CUDA kernel \u7684\u5e76\u884c\u7c92\u5ea6&#xff09;\u3002\u67d0\u4e9b\u8f7b\u91cf\u7b97\u5b50&#xff08;\u6bd4\u5982\u5f88\u5c0f\u7684 1\u00d71 \u5377\u79ef&#xff09;\u5728 GPU \u4e0a\u7684\u5e76\u884c\u6548\u7387\u5f88\u4f4e&#xff0c;\u76f8\u5f53\u4e8e\u628a GPU \u7684\u5927\u90e8\u5206\u5e76\u884c\u6838\u5fc3\u90fd&#034;\u95f2\u7f6e&#034;\u4e86\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b97\u5b50\u5207\u6362\u4e0e\u8c03\u5ea6\u5f00\u9500&#xff1a;\u6bcf\u6b21\u5207\u6362\u4e00\u4e2a\u65b0\u7684 CUDA kernel&#xff0c;\u90fd\u6709\u4e00\u5b9a\u7684\u8c03\u5ea6\u542f\u52a8\u5f00\u9500\u3002\u5982\u679c\u4e00\u4e2a\u8f7b\u91cf\u6a21\u5757\u628a\u4e00\u4e2a\u5377\u79ef\u62c6\u6210\u4e86\u4e09\u56db\u4e2a\u5c0f\u7b97\u5b50&#xff0c;\u6bcf\u4e2a\u7b97\u5b50\u5355\u72ec\u542f\u52a8\u7684\u8c03\u5ea6\u5f00\u9500\u53e0\u52a0\u8d77\u6765&#xff0c;\u53ef\u80fd\u6bd4\u539f\u6765\u7684\u5355\u4e2a\u5927\u5377\u79ef\u8fd8\u6162\u3002<\/p>\n<\/li>\n<li>\n<p>\u786c\u4ef6\u7279\u5b9a\u52a0\u901f&#xff1a;\u5f88\u591a\u63a8\u7406\u786c\u4ef6&#xff08;\u5982 TensorRT\u3001NPU\u3001NNAPI&#xff09;\u5bf9\u6807\u51c6\u5377\u79ef&#xff08;3\u00d73 Conv\u30011\u00d71 Conv&#xff09;\u6709\u9ad8\u5ea6\u4f18\u5316\u7684\u786c\u4ef6\u5b9e\u73b0&#xff0c;\u800c\u5bf9\u4e0d\u89c4\u5219\u7684\u7b97\u5b50&#xff08;\u5982\u53ef\u53d8\u5f62\u5377\u79ef\u3001\u52a8\u6001\u5377\u79ef&#xff09;\u652f\u6301\u6709\u9650&#xff0c;\u751a\u81f3\u9700\u8981 fallback \u5230\u901a\u7528\u7b97\u5b50&#xff0c;\u901f\u5ea6\u5dee\u5f02\u53ef\u80fd\u8fbe\u5230\u6570\u500d\u3002<\/p>\n<\/li>\n<p>\u8fd9\u610f\u5473\u7740&#xff1a;&#034;\u63d0\u901f&#034;\u7684\u76ee\u6807&#xff0c;\u5fc5\u987b\u5728\u76ee\u6807\u786c\u4ef6\u4e0a\u901a\u8fc7\u5b9e\u9645\u6d4b\u91cf\u6765\u786e\u8ba4&#xff0c;\u800c\u4e0d\u80fd\u4ec5\u51ed\u7406\u8bba FLOPs \u6765\u5224\u65ad\u3002 \u5728\u63a5\u4e0b\u6765\u7684\u4ee3\u7801\u90e8\u5206&#xff0c;\u6211\u4eec\u4f1a\u4e13\u95e8\u5efa\u7acb\u4e00\u5957&#034;\u76ee\u6807\u786c\u4ef6\u901f\u5ea6\u57fa\u51c6\u6d4b\u8bd5&#034;\u7684\u6d41\u7a0b&#xff0c;\u786e\u4fdd\u6bcf\u4e00\u6b21\u6539\u8fdb\u7684\u901f\u5ea6\u6536\u76ca\u662f\u771f\u5b9e\u7684\u3002<\/p>\n<h3>3.2 \u8f7b\u91cf\u5377\u79ef\u6a21\u5757\u66ff\u6362&#xff1a;\u6700&#034;\u6e29\u548c&#034;\u7684\u63d0\u901f\u65b9\u5f0f<\/h3>\n<h4>3.2.1 GhostConv&#xff1a;\u7528&#034;\u5ec9\u4ef7\u64cd\u4f5c&#034;\u751f\u6210\u7279\u5f81<\/h4>\n<p>GhostConv&#xff08;Ghost Convolution&#xff09; \u6765\u81ea CVPR 2020 \u7684 GhostNet&#xff0c;\u6838\u5fc3\u601d\u60f3\u662f\u5bf9\u6807\u51c6\u5377\u79ef\u7279\u5f81\u56fe\u7684&#034;\u5197\u4f59\u6027&#034;\u7684\u5229\u7528\u3002<\/p>\n<p>\u89c2\u5bdf&#xff1a;\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u4e2d\u95f4\u5c42\u7684\u7279\u5f81\u56fe\u91cc&#xff0c;\u5b58\u5728\u5927\u91cf&#034;\u76f8\u4f3c\u7684&#034;\u7279\u5f81\u56fe\u5bf9\u2014\u2014\u5b83\u4eec\u53ef\u80fd\u662f\u67d0\u4e2a\u7279\u5f81\u56fe\u7684\u7b80\u5355\u7ebf\u6027\u53d8\u6362\u3002\u65e2\u7136\u6709\u8fd9\u79cd\u5197\u4f59&#xff0c;\u4e3a\u4ec0\u4e48\u8981\u82b1\u8d39\u6602\u8d35\u7684\u8ba1\u7b97\u53bb&#034;\u91cd\u590d\u751f\u6210&#034;\u8fd9\u4e9b\u76f8\u4f3c\u7279\u5f81&#xff1f;<\/p>\n<p>GhostConv \u7684\u505a\u6cd5\u662f&#xff1a;<\/p>\n<li>\u7528\u4e00\u4e2a&#034;\u4e3b&#034;\u5377\u79ef\u751f\u6210 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         m<\/p>\n<p>         \/<\/p>\n<p>         2<\/p>\n<p>        m\/2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\/2<\/span><\/span><\/span><\/span><\/span> \u4e2a&#034;\u672c\u5f81\u7279\u5f81\u56fe&#034;&#xff08;Intrinsic Feature Maps&#xff09;<\/li>\n<li>\u7528\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef\u5bf9\u8fd9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         m<\/p>\n<p>         \/<\/p>\n<p>         2<\/p>\n<p>        m\/2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\/2<\/span><\/span><\/span><\/span><\/span> \u4e2a\u672c\u5f81\u7279\u5f81\u56fe\u5206\u522b\u505a cheap linear transformation&#xff0c;\u751f\u6210\u53e6\u5916 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         m<\/p>\n<p>         \/<\/p>\n<p>         2<\/p>\n<p>        m\/2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\/2<\/span><\/span><\/span><\/span><\/span> \u4e2a&#034;\u5e7d\u7075\u7279\u5f81\u56fe&#034;&#xff08;Ghost Feature Maps&#xff09;<\/li>\n<li>\u628a\u4e24\u90e8\u5206\u62fc\u63a5&#xff0c;\u5f97\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         m<\/p>\n<p>        m<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">m<\/span><\/span><\/span><\/span><\/span> \u4e2a\u8f93\u51fa\u7279\u5f81\u56fe<\/li>\n<p>\u8fd9\u6837\u4e00\u6765&#xff0c;\u539f\u672c\u9700\u8981 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>        \u00d7<\/p>\n<p>         C<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>        \u00d7<\/p>\n<p>         k<\/p>\n<p>         2<\/p>\n<p>        \u00d7<\/p>\n<p>        H<\/p>\n<p>        \u00d7<\/p>\n<p>        W<\/p>\n<p>       n \\\\times C_{in} \\\\times k^2 \\\\times H \\\\times W<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><\/span> \u6b21\u4e58\u52a0\u8fd0\u7b97\u7684\u6807\u51c6\u5377\u79ef&#xff0c;\u88ab\u66ff\u6362\u6210\u4e86\u7ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          n<\/p>\n<p>          \/<\/p>\n<p>          2<\/p>\n<p>          \u00d7<\/p>\n<p>           C<\/p>\n<p>            i<\/p>\n<p>            n<\/p>\n<p>          \u00d7<\/p>\n<p>           k<\/p>\n<p>           2<\/p>\n<p>          \u00d7<\/p>\n<p>          H<\/p>\n<p>          \u00d7<\/p>\n<p>          W<\/p>\n<p>          &#043;<\/p>\n<p>          n<\/p>\n<p>          \/<\/p>\n<p>          2<\/p>\n<p>          \u00d7<\/p>\n<p>           k<\/p>\n<p>            \u2032<\/p>\n<p>            2<\/p>\n<p>          \u00d7<\/p>\n<p>          H<\/p>\n<p>          \u00d7<\/p>\n<p>          W<\/p>\n<p>          n<\/p>\n<p>          \u00d7<\/p>\n<p>           C<\/p>\n<p>            i<\/p>\n<p>            n<\/p>\n<p>          \u00d7<\/p>\n<p>           k<\/p>\n<p>           2<\/p>\n<p>          \u00d7<\/p>\n<p>          H<\/p>\n<p>          \u00d7<\/p>\n<p>          W<\/p>\n<p>        \u2248<\/p>\n<p>         1<\/p>\n<p>         2<\/p>\n<p>        &#043;<\/p>\n<p>          k<\/p>\n<p>           \u2032<\/p>\n<p>           2<\/p>\n<p>          2<\/p>\n<p>           C<\/p>\n<p>            i<\/p>\n<p>            n<\/p>\n<p>           k<\/p>\n<p>           2<\/p>\n<p>       \\\\frac{n\/2 \\\\times C_{in} \\\\times k^2 \\\\times H \\\\times W &#043; n\/2 \\\\times k&#039;^2 \\\\times H \\\\times W}{n \\\\times C_{in} \\\\times k^2 \\\\times H \\\\times W} \\\\approx \\\\frac{1}{2} &#043; \\\\frac{k&#039;^2}{2C_{in}k^2}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.554em;vertical-align: -0.4451em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1089em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7463em\"><span class=\"\" style=\"top: -2.786em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.485em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mord mtight\">\/2<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mord mtight\">\/2<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u20322<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4451em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1901em;vertical-align: -0.345em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8451em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.463em;vertical-align: -0.4451em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0179em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7463em\"><span class=\"\" style=\"top: -2.786em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u20322<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4451em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u8ba1\u7b97\u91cf\u6bd4\u4f8b&#xff0c;\u5f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>       C_{in}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8f83\u5927\u65f6&#xff0c;\u8fd9\u4e2a\u6bd4\u4f8b\u63a5\u8fd1 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \/<\/p>\n<p>        2<\/p>\n<p>       1\/2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/2<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7406\u8bba\u4e0a\u8282\u7701\u7ea6 50% \u7684 FLOPs\u3002<\/p>\n<p>\u66f4\u6b63\u5f0f\u5730&#xff0c;GhostConv \u7684\u8ba1\u7b97\u91cf\u6bd4\u4f8b&#xff08;\u4e0e\u6807\u51c6\u5377\u79ef\u76f8\u6bd4&#xff09;\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          r<\/p>\n<p>          c<\/p>\n<p>         &#061;<\/p>\n<p>           n<\/p>\n<p>           \u22c5<\/p>\n<p>           s<\/p>\n<p>           \u22c5<\/p>\n<p>            h<\/p>\n<p>            \u2032<\/p>\n<p>           \u22c5<\/p>\n<p>            w<\/p>\n<p>            \u2032<\/p>\n<p>           n<\/p>\n<p>           \/<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           s<\/p>\n<p>           )<\/p>\n<p>           \u22c5<\/p>\n<p>            C<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>           \u22c5<\/p>\n<p>            k<\/p>\n<p>            2<\/p>\n<p>           \u22c5<\/p>\n<p>            h<\/p>\n<p>            \u2032<\/p>\n<p>           \u22c5<\/p>\n<p>            w<\/p>\n<p>            \u2032<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           \u22c5<\/p>\n<p>           (<\/p>\n<p>           s<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>           \/<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>           \u22c5<\/p>\n<p>            k<\/p>\n<p>             \u2032<\/p>\n<p>             2<\/p>\n<p>           \u22c5<\/p>\n<p>            h<\/p>\n<p>            \u2032<\/p>\n<p>           \u22c5<\/p>\n<p>            w<\/p>\n<p>            \u2032<\/p>\n<p>         \u2248<\/p>\n<p>           2<\/p>\n<p>           s<\/p>\n<p>           s<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>         \u22c5<\/p>\n<p>          1<\/p>\n<p>            C<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>            k<\/p>\n<p>            2<\/p>\n<p>           \/<\/p>\n<p>            k<\/p>\n<p>             \u2032<\/p>\n<p>             2<\/p>\n<p>        r_c &#061; \\\\frac{n \\\\cdot s \\\\cdot h&#039; \\\\cdot w&#039;}{n\/(2s) \\\\cdot C_{in} \\\\cdot k^2 \\\\cdot h&#039; \\\\cdot w&#039; &#043; (n \\\\cdot (s-1)\/2) \\\\cdot k&#039;^2 \\\\cdot h&#039; \\\\cdot w&#039;} \\\\approx \\\\frac{2s}{s &#043; 1} \\\\cdot \\\\frac{1}{C_{in} k^2 \/ k&#039;^2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3649em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4289em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"mord\">\/<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6779em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6779em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mord\">\/2<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u20322<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6779em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6779em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0908em;vertical-align: -0.7693em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7693em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.2574em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\/<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u20322<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        s<\/p>\n<p>       s<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><\/span> \u662f&#034;\u5e7d\u7075\u6bd4&#034;&#xff08;\u901a\u5e38\u53d6 2&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>       k<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u662f\u4e3b\u5377\u79ef kernel size&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         k<\/p>\n<p>         \u2032<\/p>\n<p>       k&#039;<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7519em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f cheap operation \u7684 kernel size&#xff08;\u901a\u5e38\u53d6 3 \u6216 5&#xff09;\u3002<\/p>\n<p>\u5728 YOLOv10 \u4e2d&#xff0c;GhostConv \u901a\u5e38\u7528\u6765\u66ff\u6362 Backbone \u548c Neck \u4e2d\u8ba1\u7b97\u91cf\u8f83\u5927\u7684 C2f \u6a21\u5757\u91cc\u7684\u6807\u51c6\u5377\u79ef&#xff0c;\u80fd\u591f\u5728\u7cbe\u5ea6\u635f\u5931 1% \u4ee5\u5185\u7684\u524d\u63d0\u4e0b&#xff0c;\u628a FLOPs \u964d\u4f4e 20%-40%\u3002<\/p>\n<h4>3.2.2 FasterBlock&#xff1a;\u90e8\u5206\u5377\u79ef&#xff08;PConv&#xff09;\u7684\u5de5\u7a0b\u5316\u5b9e\u73b0<\/h4>\n<p>FasterBlock \u6765\u81ea CVPR 2023 \u7684 FasterNet&#xff0c;\u6838\u5fc3\u64cd\u4f5c\u662f PConv&#xff08;Partial Convolution&#xff0c;\u90e8\u5206\u5377\u79ef&#xff09;\u3002<\/p>\n<p>PConv \u7684\u51fa\u53d1\u70b9\u662f\u5bf9&#034;\u5185\u5b58\u8bbf\u95ee\u6548\u7387&#034;\u7684\u5206\u6790&#xff0c;\u800c\u4e0d\u4ec5\u4ec5\u662f FLOPs&#xff1a;<\/p>\n<p>\u5bf9\u4e8e\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef&#xff0c;\u867d\u7136 FLOPs \u5c11&#xff0c;\u4f46\u5b83\u628a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>       C_{in}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a\u901a\u9053\u5206\u522b\u5377\u79ef&#xff0c;\u5185\u5b58\u8bbf\u95ee\u6b21\u6570&#xff08;\u8bfb\u53d6\u548c\u5199\u5165\u7279\u5f81\u56fe\u7684\u6b21\u6570&#xff09;\u548c\u6807\u51c6\u5377\u79ef\u76f8\u5f53\u751a\u81f3\u66f4\u591a&#xff0c;\u5bfc\u81f4\u5185\u5b58\u8bbf\u95ee\u5229\u7528\u7387\u5f88\u4f4e\u3002<\/p>\n<p>PConv \u7684\u89e3\u6cd5\u662f&#xff1a;\u53ea\u5bf9\u524d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>          p<\/p>\n<p>        C_p<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a\u901a\u9053&#xff08;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>          p<\/p>\n<p>         &#061;<\/p>\n<p>          C<\/p>\n<p>           i<\/p>\n<p>           n<\/p>\n<p>         \/<\/p>\n<p>         4<\/p>\n<p>        C_p &#061; C_{in}\/4<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\/4<\/span><\/span><\/span><\/span><\/span>&#xff09;\u505a\u6807\u51c6\u5377\u79ef&#xff0c;\u5176\u4f59 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>           i<\/p>\n<p>           n<\/p>\n<p>         \u2212<\/p>\n<p>          C<\/p>\n<p>          p<\/p>\n<p>        C_{in} &#8211; C_p<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a\u901a\u9053\u76f4\u63a5 identity&#xff08;\u4e0d\u505a\u5377\u79ef&#xff0c;\u76f4\u63a5\u4f20\u9012&#xff09;\u3002<\/p>\n<p>\u8ba1\u7b97\u91cf\u6bd4&#xff08;\u4e0e\u6807\u51c6\u5377\u79ef\u76f8\u6bd4&#xff09;&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         FLOPs\u6bd4<\/p>\n<p>         &#061;<\/p>\n<p>            C<\/p>\n<p>            p<\/p>\n<p>           \u22c5<\/p>\n<p>            C<\/p>\n<p>            p<\/p>\n<p>           \u22c5<\/p>\n<p>            k<\/p>\n<p>            2<\/p>\n<p>           \u22c5<\/p>\n<p>           h<\/p>\n<p>           \u22c5<\/p>\n<p>           w<\/p>\n<p>            C<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>           \u22c5<\/p>\n<p>            C<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>           \u22c5<\/p>\n<p>            k<\/p>\n<p>            2<\/p>\n<p>           \u22c5<\/p>\n<p>           h<\/p>\n<p>           \u22c5<\/p>\n<p>           w<\/p>\n<p>         &#061;<\/p>\n<p>           (<\/p>\n<p>             C<\/p>\n<p>             p<\/p>\n<p>             C<\/p>\n<p>              i<\/p>\n<p>              n<\/p>\n<p>           )<\/p>\n<p>          2<\/p>\n<p>         &#061;<\/p>\n<p>          1<\/p>\n<p>          16<\/p>\n<p>        \\\\text{FLOPs\u6bd4} &#061; \\\\frac{C_p \\\\cdot C_p \\\\cdot k^2 \\\\cdot h \\\\cdot w}{C_{in} \\\\cdot C_{in} \\\\cdot k^2 \\\\cdot h \\\\cdot w} &#061; \\\\left(\\\\frac{C_p}{C_{in}}\\\\right)^2 &#061; \\\\frac{1}{16}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><span class=\"mord cjk_fallback\">\u6bd4<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3271em;vertical-align: -0.836em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4911em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.604em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.654em\"><span class=\"\" style=\"top: -3.9029em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0074em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">16<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7406\u8bba\u4e0a FLOPs \u4e0b\u964d\u5230 1\/16&#xff0c;\u4f46\u66f4\u91cd\u8981\u7684\u662f\u5185\u5b58\u8bbf\u95ee\u6548\u7387&#xff1a;\u7531\u4e8e\u53ea\u8bfb\u5199 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>         p<\/p>\n<p>       C_p<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a\u901a\u9053\u7684\u7279\u5f81\u56fe&#xff0c;\u5185\u5b58\u8bbf\u95ee\u91cf\u51cf\u5c11\u5230\u539f\u6765\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>          p<\/p>\n<p>          C<\/p>\n<p>           i<\/p>\n<p>           n<\/p>\n<p>        &#061;<\/p>\n<p>         1<\/p>\n<p>         4<\/p>\n<p>       \\\\frac{C_p}{C_{in}} &#061; \\\\frac{1}{4}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.4308em;vertical-align: -0.4451em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9857em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.5073em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2819em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4451em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1901em;vertical-align: -0.345em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8451em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u540c\u65f6\u8fd9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>         p<\/p>\n<p>       C_p<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a\u901a\u9053\u7684\u6570\u636e\u5728\u5185\u5b58\u91cc\u662f\u8fde\u7eed\u7684&#xff08;\u5185\u5b58\u5c40\u90e8\u6027\u597d&#xff09;&#xff0c;CUDA \u7684\u5185\u5b58\u8bbf\u95ee\u6548\u7387\u5927\u5e45\u63d0\u5347\u3002<\/p>\n<p>\u5b9e\u9a8c\u8868\u660e&#xff0c;\u5728 ImageNet \u4e0a&#xff0c;FasterNet-T0 \u5728\u7cbe\u5ea6\u4e0e MobileNetV2 \u76f8\u5f53\u7684\u60c5\u51b5\u4e0b&#xff0c;\u5728 CPU \u4e0a\u7684\u63a8\u7406\u901f\u5ea6\u5feb\u4e86\u7ea6 2.8 \u500d&#xff0c;\u5728 GPU \u4e0a\u5feb\u4e86\u7ea6 1.5 \u500d\u3002\u5bf9\u4e8e CPU \u63a8\u7406\u6216\u5185\u5b58\u5e26\u5bbd\u53d7\u9650\u7684\u8fb9\u7f18\u8bbe\u5907&#xff0c;FasterBlock \u7684\u5b9e\u9645\u63d0\u901f\u6548\u679c\u5f80\u5f80\u4f18\u4e8e GhostConv\u3002<\/p>\n<h4>3.2.3 \u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef&#xff1a;\u8f7b\u91cf\u5316\u7684&#034;\u8001\u7956\u5b97&#034;<\/h4>\n<p>\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef&#xff08;Depthwise Separable Convolution&#xff09;\u662f MobileNet \u7cfb\u5217\u7684\u57fa\u7840\u7ec4\u4ef6&#xff0c;\u7406\u89e3\u5b83\u7684\u539f\u7406\u5bf9\u540e\u7eed\u6240\u6709\u8f7b\u91cf\u5316\u65b9\u6cd5\u90fd\u6709\u5e2e\u52a9\u3002<\/p>\n<p>\u6807\u51c6\u5377\u79ef\u7684\u8ba1\u7b97\u91cf&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         FLOPs<\/p>\n<p>         \u2217<\/p>\n<p>          s<\/p>\n<p>          t<\/p>\n<p>          d<\/p>\n<p>         &#061;<\/p>\n<p>         C<\/p>\n<p>         \u2217<\/p>\n<p>          o<\/p>\n<p>          u<\/p>\n<p>          t<\/p>\n<p>         \u00d7<\/p>\n<p>          C<\/p>\n<p>           i<\/p>\n<p>           n<\/p>\n<p>         \u00d7<\/p>\n<p>          k<\/p>\n<p>          2<\/p>\n<p>         \u00d7<\/p>\n<p>          H<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>         \u00d7<\/p>\n<p>          W<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>        \\\\text{FLOPs}*{std} &#061; C*{out} \\\\times C_{in} \\\\times k^2 \\\\times H_{out} \\\\times W_{out}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord mathnormal\">d<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6984em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord mathnormal\">t<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9474em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0813em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef\u628a\u8fd9\u4e2a\u64cd\u4f5c\u62c6\u6210\u4e24\u6b65&#xff1a;<\/p>\n<p>\u6b65\u9aa4\u4e00&#xff1a;\u6df1\u5ea6\u5377\u79ef&#xff08;Depthwise Conv&#xff09;\u2014\u2014\u5bf9\u6bcf\u4e2a\u8f93\u5165\u901a\u9053\u72ec\u7acb\u505a\u5377\u79ef&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         FLOPs<\/p>\n<p>         \u2217<\/p>\n<p>          d<\/p>\n<p>          w<\/p>\n<p>         &#061;<\/p>\n<p>         C<\/p>\n<p>         \u2217<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>         \u00d7<\/p>\n<p>          k<\/p>\n<p>          2<\/p>\n<p>         \u00d7<\/p>\n<p>          H<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>         \u00d7<\/p>\n<p>          W<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>        \\\\text{FLOPs}*{dw} &#061; C*{in} \\\\times k^2 \\\\times H_{out} \\\\times W_{out}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7429em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">in<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9474em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0813em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6b65\u9aa4\u4e8c&#xff1a;\u9010\u70b9\u5377\u79ef&#xff08;Pointwise Conv&#xff0c;\u5373 1\u00d71 Conv&#xff09;\u2014\u2014\u8de8\u901a\u9053\u7684\u7ebf\u6027\u7ec4\u5408&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         FLOPs<\/p>\n<p>         \u2217<\/p>\n<p>          p<\/p>\n<p>          w<\/p>\n<p>         &#061;<\/p>\n<p>         C<\/p>\n<p>         \u2217<\/p>\n<p>          o<\/p>\n<p>          u<\/p>\n<p>          t<\/p>\n<p>         \u00d7<\/p>\n<p>          C<\/p>\n<p>           i<\/p>\n<p>           n<\/p>\n<p>         \u00d7<\/p>\n<p>          H<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>         \u00d7<\/p>\n<p>          W<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>        \\\\text{FLOPs}*{pw} &#061; C*{out} \\\\times C_{in} \\\\times H_{out} \\\\times W_{out}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">pw<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6984em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord mathnormal\">t<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0813em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u603b\u8ba1\u7b97\u91cf&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         FLOPs<\/p>\n<p>         \u2217<\/p>\n<p>          d<\/p>\n<p>          w<\/p>\n<p>          &#043;<\/p>\n<p>          p<\/p>\n<p>          w<\/p>\n<p>         &#061;<\/p>\n<p>         C<\/p>\n<p>         \u2217<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>         \u00d7<\/p>\n<p>          H<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>         \u00d7<\/p>\n<p>          W<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>         \u00d7<\/p>\n<p>         (<\/p>\n<p>          k<\/p>\n<p>          2<\/p>\n<p>         &#043;<\/p>\n<p>          C<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>         )<\/p>\n<p>        \\\\text{FLOPs}*{dw&#043;pw} &#061; C*{in} \\\\times H_{out} \\\\times W_{out} \\\\times (k^2 &#043; C_{out})<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">pw<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7429em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">in<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0813em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4e0e\u6807\u51c6\u5377\u79ef\u7684\u6bd4\u503c&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           FLOPs<\/p>\n<p>           \u2217<\/p>\n<p>            d<\/p>\n<p>            w<\/p>\n<p>            &#043;<\/p>\n<p>            p<\/p>\n<p>            w<\/p>\n<p>           FLOPs<\/p>\n<p>           \u2217<\/p>\n<p>            s<\/p>\n<p>            t<\/p>\n<p>            d<\/p>\n<p>         &#061;<\/p>\n<p>          1<\/p>\n<p>           C<\/p>\n<p>            o<\/p>\n<p>            u<\/p>\n<p>            t<\/p>\n<p>         &#043;<\/p>\n<p>          1<\/p>\n<p>           k<\/p>\n<p>           2<\/p>\n<p>        \\\\frac{\\\\text{FLOPs}*{dw&#043;pw}}{\\\\text{FLOPs}*{std}} &#061; \\\\frac{1}{C_{out}} &#043; \\\\frac{1}{k^2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.0574em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord mathnormal\">d<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">FLOPs<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">pw<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.1574em;vertical-align: -0.836em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0074em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4ee5 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>        &#061;<\/p>\n<p>        3<\/p>\n<p>        ,<\/p>\n<p>         C<\/p>\n<p>          o<\/p>\n<p>          u<\/p>\n<p>          t<\/p>\n<p>        &#061;<\/p>\n<p>        64<\/p>\n<p>       k&#061;3, C_{out}&#061;64<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">64<\/span><\/span><\/span><\/span><\/span> \u4e3a\u4f8b&#xff0c;\u6bd4\u503c\u7ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \/<\/p>\n<p>        64<\/p>\n<p>        &#043;<\/p>\n<p>        1<\/p>\n<p>        \/<\/p>\n<p>        9<\/p>\n<p>        \u2248<\/p>\n<p>        0.127<\/p>\n<p>       1\/64 &#043; 1\/9 \\\\approx 0.127<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/64<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/9<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.127<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7406\u8bba FLOPs \u51cf\u5c11\u7ea6 87%\u3002\u8fd9\u4e2a\u8ba1\u7b97\u91cf\u8282\u7701\u662f\u60ca\u4eba\u7684&#xff0c;\u4f46\u6b63\u5982\u524d\u9762\u6240\u8bf4&#xff0c;\u5728 GPU \u4e0a\u7684\u5b9e\u9645\u52a0\u901f\u6bd4\u901a\u5e38\u8fdc\u8fbe\u4e0d\u5230\u8fd9\u4e2a\u7406\u8bba\u503c&#xff0c;\u56e0\u4e3a\u9010\u70b9\u5377\u79ef&#xff08;\u5927\u91cf 1\u00d71 \u5c0f\u5377\u79ef&#xff09;\u7684 GPU \u5229\u7528\u7387\u504f\u4f4e\u3002\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef\u5728 CPU \u548c\u90e8\u5206 NPU \u4e0a\u7684\u5b9e\u9645\u52a0\u901f\u6548\u679c&#xff0c;\u901a\u5e38\u4f18\u4e8e GPU\u3002<\/p>\n<h3>3.3 \u91cd\u53c2\u6570\u5316&#xff1a;\u8bad\u7ec3\u65f6&#034;\u517b\u7cbe\u84c4\u9510&#034;&#xff0c;\u63a8\u7406\u65f6&#034;\u4e00\u62db\u5236\u654c&#034;<\/h3>\n<p>\u91cd\u53c2\u6570\u5316&#xff08;Re-parameterization&#xff09; \u662f\u8fd1\u5e74\u6765\u63d0\u901f\u65b9\u5411\u91cc\u6700\u4f18\u96c5\u7684\u4e00\u4e2a\u6280\u672f&#xff0c;\u4ee3\u8868\u4f5c\u662f RepVGG&#xff08;CVPR 2021&#xff09;&#xff0c;\u5176\u6838\u5fc3\u601d\u60f3\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;\u8bad\u7ec3\u7528\u590d\u6742\u7ed3\u6784&#xff0c;\u63a8\u7406\u7528\u7b80\u5355\u7ed3\u6784&#xff0c;\u901a\u8fc7\u6570\u5b66\u7b49\u4ef7\u53d8\u6362\u65e0\u635f\u5730\u5b8c\u6210\u8fd9\u4e2a\u8f6c\u6362\u3002<\/p>\n<p>\u8bad\u7ec3\u9636\u6bb5&#xff0c;RepVGG \u7684\u6bcf\u4e2a Block \u6709\u4e09\u4e2a\u5e76\u8054\u7684\u5206\u652f&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         3<\/p>\n<p>         \u00d7<\/p>\n<p>         3<\/p>\n<p>        3 \\\\times 3<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u5206\u652f&#xff08;\u63d0\u53d6\u5c40\u90e8\u7279\u5f81&#xff09;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         1<\/p>\n<p>         \u00d7<\/p>\n<p>         1<\/p>\n<p>        1 \\\\times 1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u5206\u652f&#xff08;\u901a\u9053\u6df7\u5408&#xff0c;\u7c7b\u4f3c\u8df3\u8fde\u63a5\u7684\u4f5c\u7528&#xff09;<\/li>\n<li>Identity \u5206\u652f&#xff08;\u6052\u7b49\u6620\u5c04&#xff0c;\u8981\u6c42\u8f93\u5165\u8f93\u51fa\u901a\u9053\u6570\u76f8\u540c&#xff09;<\/li>\n<\/ul>\n<p>\u8bad\u7ec3\u9636\u6bb5\u7684\u524d\u5411\u4f20\u64ad&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         y<\/p>\n<p>         &#061;<\/p>\n<p>          BN<\/p>\n<p>          3<\/p>\n<p>         (<\/p>\n<p>          W<\/p>\n<p>          3<\/p>\n<p>         \u2217<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>         &#043;<\/p>\n<p>          BN<\/p>\n<p>          1<\/p>\n<p>         (<\/p>\n<p>          W<\/p>\n<p>          1<\/p>\n<p>         \u2217<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>         &#043;<\/p>\n<p>          BN<\/p>\n<p>          0<\/p>\n<p>         (<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>        y &#061; \\\\text{BN}_3(W_3 * x) &#043; \\\\text{BN}_1(W_1 * x) &#043; \\\\text{BN}_0(x)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">BN<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">BN<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">BN<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2217<\/p>\n<p>       *<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4653em\"><\/span><span class=\"mord\">\u2217<\/span><\/span><\/span><\/span><\/span> \u662f\u5377\u79ef\u64cd\u4f5c&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         3<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>           C<\/p>\n<p>            o<\/p>\n<p>            u<\/p>\n<p>            t<\/p>\n<p>          \u00d7<\/p>\n<p>           C<\/p>\n<p>            i<\/p>\n<p>            n<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>       W_3 \\\\in \\\\mathbb{R}^{C_{out} \\\\times C_{in} \\\\times 3 \\\\times 3}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2963em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\">3<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         1<\/p>\n<p>        \u2208<\/p>\n<p>         R<\/p>\n<p>           C<\/p>\n<p>            o<\/p>\n<p>            u<\/p>\n<p>            t<\/p>\n<p>          \u00d7<\/p>\n<p>           C<\/p>\n<p>            i<\/p>\n<p>            n<\/p>\n<p>          \u00d7<\/p>\n<p>          1<\/p>\n<p>          \u00d7<\/p>\n<p>          1<\/p>\n<p>       W_1 \\\\in \\\\mathbb{R}^{C_{out} \\\\times C_{in} \\\\times 1 \\\\times 1}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2963em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0715em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\">1<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u63a8\u7406\u9636\u6bb5&#xff0c;\u901a\u8fc7\u4ee5\u4e0b\u7b49\u4ef7\u53d8\u6362&#xff0c;\u628a\u4e09\u4e2a\u5206\u652f&#034;\u878d\u5408&#034;\u6210\u4e00\u4e2a\u5355\u4e00\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        3<\/p>\n<p>        \u00d7<\/p>\n<p>        3<\/p>\n<p>       3 \\\\times 3<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef&#xff1a;<\/p>\n<p>\u7b49\u4ef7\u53d8\u6362\u6b65\u9aa4&#xff1a;<\/p>\n<li>\u5c06 BN \u5c42\u5438\u6536\u8fdb\u5377\u79ef\u6743\u91cd\u3002\u5bf9\u4e8e\u5377\u79ef-BN \u7ec4\u5408&#xff0c;BN \u7684\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         (<\/p>\n<p>         \u03b3<\/p>\n<p>         ,<\/p>\n<p>         \u03b2<\/p>\n<p>         ,<\/p>\n<p>         \u03bc<\/p>\n<p>         ,<\/p>\n<p>          \u03c3<\/p>\n<p>          2<\/p>\n<p>         )<\/p>\n<p>        (\\\\gamma, \\\\beta, \\\\mu, \\\\sigma^2)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u53ef\u4ee5\u7b49\u4ef7\u5730\u5408\u5e76\u5230\u5377\u79ef\u6838\u91cc&#xff1a;<\/li>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          W<\/p>\n<p>          ^<\/p>\n<p>         &#061;<\/p>\n<p>          \u03b3<\/p>\n<p>             \u03c3<\/p>\n<p>             2<\/p>\n<p>            &#043;<\/p>\n<p>            \u03f5<\/p>\n<p>         W<\/p>\n<p>         ,<\/p>\n<p>          b<\/p>\n<p>          ^<\/p>\n<p>         &#061;<\/p>\n<p>         \u03b2<\/p>\n<p>         \u2212<\/p>\n<p>           \u03b3<\/p>\n<p>           \u03bc<\/p>\n<p>             \u03c3<\/p>\n<p>             2<\/p>\n<p>            &#043;<\/p>\n<p>            \u03f5<\/p>\n<p>        \\\\hat{W} &#061; \\\\frac{\\\\gamma}{\\\\sqrt{\\\\sigma^2 &#043; \\\\epsilon}} W, \\\\quad \\\\hat{b} &#061; \\\\beta &#8211; \\\\frac{\\\\gamma \\\\mu}{\\\\sqrt{\\\\sigma^2 &#043; \\\\epsilon}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9468em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0376em;vertical-align: -0.93em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.1966em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9134em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">\u03f5<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8734em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>                   <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1266em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.93em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9579em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">b<\/span><\/span><span class=\"\" style=\"top: -3.2634em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0376em;vertical-align: -0.93em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.1966em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9134em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">\u03f5<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8734em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>                   <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1266em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.93em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<li>\n<p>\u5c06 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          1<\/p>\n<p>          \u00d7<\/p>\n<p>          1<\/p>\n<p>         1 \\\\times 1<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u7b49\u4ef7\u8f6c\u6362\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>         3 \\\\times 3<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef&#xff08;\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          1<\/p>\n<p>          \u00d7<\/p>\n<p>          1<\/p>\n<p>         1 \\\\times 1<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u6838\u5916\u56f4\u96f6\u586b\u5145&#xff0c;\u6269\u5c55\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>         3 \\\\times 3<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u5c06 Identity \u5206\u652f\u7b49\u4ef7\u8f6c\u6362\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>         3 \\\\times 3<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef&#xff08;\u5f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           C<\/p>\n<p>            i<\/p>\n<p>            n<\/p>\n<p>          &#061;<\/p>\n<p>           C<\/p>\n<p>            o<\/p>\n<p>            u<\/p>\n<p>            t<\/p>\n<p>         C_{in} &#061; C_{out}<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6&#xff0c;Identity \u7b49\u4ef7\u4e8e\u6743\u91cd\u4e3a\u5355\u4f4d\u77e9\u9635\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          1<\/p>\n<p>          \u00d7<\/p>\n<p>          1<\/p>\n<p>         1 \\\\times 1<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef&#xff0c;\u518d\u96f6\u586b\u5145\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>         3 \\\\times 3<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u628a\u4e09\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>         3 \\\\times 3<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u7684\u6743\u91cd\u76f4\u63a5\u76f8\u52a0&#xff0c;\u5f97\u5230\u4e00\u4e2a\u7b49\u4ef7\u7684\u5355 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          3<\/p>\n<p>          \u00d7<\/p>\n<p>          3<\/p>\n<p>         3 \\\\times 3<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef\u3002<\/p>\n<\/li>\n<p>\u6574\u4e2a\u8fc7\u7a0b\u662f\u7cbe\u786e\u7684\u6570\u5b66\u7b49\u4ef7&#xff0c;\u4e0d\u662f\u8fd1\u4f3c&#xff0c;\u4e0d\u635f\u5931\u4efb\u4f55\u7cbe\u5ea6\u3002\u63a8\u7406\u65f6\u53ea\u6709\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        3<\/p>\n<p>        \u00d7<\/p>\n<p>        3<\/p>\n<p>       3 \\\\times 3<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span> \u5377\u79ef&#xff0c;\u7ed3\u6784\u6781\u7b80&#xff0c;\u63a8\u7406\u901f\u5ea6\u5feb&#xff0c;\u5bf9 GPU \u7684\u5229\u7528\u7387\u9ad8\u3002<\/p>\n<p>\u8fd9\u79cd&#034;\u8bad\u7ec3\u590d\u6742\u3001\u63a8\u7406\u7b80\u5355&#034;\u7684\u8bbe\u8ba1\u54f2\u5b66&#xff0c;\u662f\u91cd\u53c2\u6570\u5316\u6280\u672f\u6700\u8ff7\u4eba\u7684\u5730\u65b9\u2014\u2014\u4f60\u5728\u8bad\u7ec3\u65f6\u53ef\u4ee5\u5145\u5206\u5229\u7528\u591a\u5206\u652f\u7ed3\u6784\u63d0\u4f9b\u7684\u4e30\u5bcc\u68af\u5ea6\u8def\u5f84\u6765&#034;\u5582\u9971&#034;\u6a21\u578b&#xff0c;\u4f46\u63a8\u7406\u65f6\u5b8c\u5168\u4e0d\u7528\u4e3a\u8fd9\u79cd\u590d\u6742\u4ed8\u51fa\u901f\u5ea6\u4ee3\u4ef7\u3002\u8fd9\u51e0\u4e4e\u662f&#034;\u514d\u8d39\u7684\u6da8\u70b9&#034;\u52a0&#034;\u514d\u8d39\u7684\u63d0\u901f&#034;&#xff0c;\u6027\u4ef7\u6bd4\u5728\u6240\u6709\u63d0\u901f\u6280\u672f\u91cc\u6392\u540d\u7b2c\u4e00\u3002<\/p>\n<p>\u5728 YOLOv10 \u4e2d&#xff0c;\u53ef\u4ee5\u628a Backbone \u4e2d\u7684\u90e8\u5206 Conv-BN-SiLU \u7ed3\u6784\u66ff\u6362\u4e3a RepVGG \u98ce\u683c\u7684\u591a\u5206\u652f\u8bad\u7ec3\u7ed3\u6784&#xff08;\u5373 RepConv&#xff09;&#xff0c;\u8bad\u7ec3\u7ed3\u675f\u540e\u878d\u5408\u53c2\u6570&#xff0c;\u63a8\u7406\u65f6\u6062\u590d\u4e3a\u5355\u8def\u7ed3\u6784\u3002<\/p>\n<h2>\u56db\u3001\u8f7b\u91cf\u5316\u65b9\u5411&#xff1a;\u8ba9\u6a21\u578b&#034;\u88c5\u5f97\u4e0b&#034;\u7684\u9aa8\u5e72\u66ff\u6362\u7b56\u7565<\/h2>\n<h3>4.1 \u8f7b\u91cf\u5316\u4e0e\u63d0\u901f\u7684\u672c\u8d28\u533a\u522b<\/h3>\n<p>\u5f88\u591a\u4eba\u628a\u8f7b\u91cf\u5316\u548c\u63d0\u901f\u6df7\u4e3a\u4e00\u8c08&#xff0c;\u4f46\u8fd9\u4e24\u4e2a\u76ee\u6807\u6709\u672c\u8d28\u533a\u522b&#xff1a;<\/p>\n<p>\u8f7b\u91cf\u5316\u5173\u6ce8\u7684\u662f&#034;\u6a21\u578b\u7684\u9759\u6001\u5c5e\u6027&#034;\u2014\u2014\u53c2\u6570\u91cf&#xff08;Params&#xff09;\u3001\u6a21\u578b\u6587\u4ef6\u4f53\u79ef&#xff08;MB&#xff09;\u3001\u8fd0\u884c\u65f6\u5185\u5b58\/\u663e\u5b58\u5360\u7528&#xff08;MB&#xff09;\u3002\u8fd9\u4e9b\u6307\u6807\u51b3\u5b9a\u4e86\u6a21\u578b\u80fd\u4e0d\u80fd&#034;\u88c5\u8fdb&#034;\u76ee\u6807\u8bbe\u5907&#xff0c;\u4ee5\u53ca\u8fd0\u884c\u65f6\u5bf9\u5185\u5b58\u7684\u538b\u529b\u3002<\/p>\n<p>\u63d0\u901f\u5173\u6ce8\u7684\u662f&#034;\u6a21\u578b\u7684\u52a8\u6001\u5c5e\u6027&#034;\u2014\u2014\u5355\u6b21\u63a8\u7406\u5ef6\u8fdf&#xff08;ms&#xff09;\u3001\u541e\u5410\u91cf&#xff08;FPS&#xff09;\u3002\u8fd9\u4e9b\u6307\u6807\u51b3\u5b9a\u4e86\u6a21\u578b\u7684\u5b9e\u65f6\u5904\u7406\u80fd\u529b\u3002<\/p>\n<p>\u4e00\u4e2a\u6781\u7aef\u7684\u4f8b\u5b50&#xff1a;\u628a\u6a21\u578b\u6240\u6709\u6743\u91cd\u91cf\u5316\u4e3a INT4&#xff08;\u53c2\u6570\u91cf\u51cf\u5c11 8 \u500d&#xff09;&#xff0c;\u6a21\u578b\u4f53\u79ef\u5927\u5e45\u4e0b\u964d&#xff0c;\u4f46\u5982\u679c\u786c\u4ef6\u4e0d\u652f\u6301 INT4 \u7684\u9ad8\u6548\u77e9\u9635\u8fd0\u7b97&#xff0c;\u53cd\u800c\u6bcf\u6b21\u63a8\u7406\u8981\u5148\u505a\u53cd\u91cf\u5316\u518d\u8ba1\u7b97&#xff0c;\u5b9e\u9645\u5ef6\u8fdf\u53ef\u80fd\u6bd4 FP32 \u8fd8\u9ad8\u3002\u8fd9\u5c31\u662f\u5178\u578b\u7684&#034;\u8f7b\u91cf\u4e86\u4f46\u6ca1\u63d0\u901f&#034;\u3002<\/p>\n<p>\u7406\u89e3\u4e86\u8fd9\u4e2a\u533a\u522b&#xff0c;\u5c31\u80fd\u7406\u89e3\u4e3a\u4ec0\u4e48\u8f7b\u91cf\u5316\u65b9\u5411\u7684\u6838\u5fc3\u6b66\u5668\u662f\u6574\u4f53\u9aa8\u5e72\u66ff\u6362\u2014\u2014\u56e0\u4e3a\u5bf9\u4e8e\u53c2\u6570\u91cf\u7684\u5927\u5e45\u538b\u7f29&#xff0c;\u9760\u5728\u539f\u6709\u9aa8\u5e72\u91cc\u66ff\u6362\u4e2a\u522b\u5377\u79ef\u6a21\u5757\u6536\u6548\u6709\u9650&#xff08;\u4ece 2.3M \u964d\u5230 2.0M&#xff0c;\u5dee\u8ddd\u4e0d\u5927&#xff09;&#xff0c;\u771f\u6b63\u5927\u5e45\u538b\u7f29\u53c2\u6570\u91cf&#xff0c;\u5f80\u5f80\u9700\u8981\u6362\u4e00\u4e2a&#034;\u751f\u6765\u5c31\u8f7b\u91cf&#034;\u7684\u9aa8\u5e72\u7f51\u7edc\u3002<\/p>\n<h3>4.2 MobileNetV3&#xff1a;\u79fb\u52a8\u7aef\u7684\u96c6\u5927\u6210\u8005<\/h3>\n<p>MobileNetV3 \u662f Google \u57fa\u4e8e NAS&#xff08;\u795e\u7ecf\u67b6\u6784\u641c\u7d22&#xff09;&#043;\u624b\u5de5\u8bbe\u8ba1\u6df7\u5408\u65b9\u6cd5\u5f97\u5230\u7684\u79fb\u52a8\u7aef\u9aa8\u5e72&#xff0c;\u5728 MobileNetV1&#xff08;\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef&#xff09;\u548c MobileNetV2&#xff08;\u5012\u7f6e\u6b8b\u5dee\u5757&#xff09;\u57fa\u7840\u4e0a\u505a\u4e86\u4e09\u4e2a\u91cd\u8981\u6539\u8fdb&#xff1a;<\/p>\n<p>\u6539\u8fdb\u4e00&#xff1a;\u5f15\u5165 SE \u901a\u9053\u6ce8\u610f\u529b\u3002\u5728\u6bcf\u4e2a Bottleneck \u7684\u672b\u5c3e\u63d2\u5165\u4e00\u4e2a SE \u6a21\u5757&#xff0c;\u4ee5\u975e\u5e38\u5c0f\u7684\u53c2\u6570\u4ee3\u4ef7\u63d0\u5347\u7279\u5f81\u8868\u8fbe\u8d28\u91cf\u3002<\/p>\n<p>\u6539\u8fdb\u4e8c&#xff1a;h-swish \u6fc0\u6d3b\u51fd\u6570\u3002Swish \u6fc0\u6d3b\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        f<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>        x<\/p>\n<p>        \u22c5<\/p>\n<p>        \u03c3<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>       f(x) &#061; x \\\\cdot \\\\sigma(x)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u6027\u80fd\u597d\u4f46\u8ba1\u7b97 Sigmoid \u6709\u5f00\u9500&#xff0c;MobileNetV3 \u7528\u786c\u8fd1\u4f3c\u7248\u672c\u66ff\u4ee3&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h-swish<\/p>\n<p>         (<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         x<\/p>\n<p>         \u22c5<\/p>\n<p>           ReLU6<\/p>\n<p>           (<\/p>\n<p>           x<\/p>\n<p>           &#043;<\/p>\n<p>           3<\/p>\n<p>           )<\/p>\n<p>          6<\/p>\n<p>        \\\\text{h-swish}(x) &#061; x \\\\cdot \\\\frac{\\\\text{ReLU6}(x&#043;3)}{6}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">h-swish<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.113em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.427em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">ReLU6<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        ReLU6<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>        min<\/p>\n<p>        \u2061<\/p>\n<p>        (<\/p>\n<p>        max<\/p>\n<p>        \u2061<\/p>\n<p>        (<\/p>\n<p>        0<\/p>\n<p>        ,<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>        ,<\/p>\n<p>        6<\/p>\n<p>        )<\/p>\n<p>       \\\\text{ReLU6}(x) &#061; \\\\min(\\\\max(0, x), 6)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">ReLU6<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">min<\/span><span class=\"mopen\">(<\/span><span class=\"mop\">max<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7528\u7ebf\u6027\u51fd\u6570\u8fd1\u4f3c Sigmoid&#xff0c;\u5728\u4fdd\u6301 Swish \u6027\u80fd\u7684\u540c\u65f6\u5927\u5e45\u964d\u4f4e\u8ba1\u7b97\u91cf&#xff0c;\u4e14\u66f4\u5bb9\u6613\u5728\u5d4c\u5165\u5f0f\u786c\u4ef6\u4e0a\u5b9a\u70b9\u5316\u3002<\/p>\n<p>\u6539\u8fdb\u4e09&#xff1a;\u91cd\u65b0\u8bbe\u8ba1\u7b2c\u4e00\u5c42\u548c\u6700\u540e\u5c42\u3002\u901a\u8fc7 NAS \u641c\u7d22\u53d1\u73b0&#xff0c;\u7b2c\u4e00\u4e2a\u5377\u79ef\u5c42\u7684 stride&#061;2 \u7684\u5927\u5377\u79ef\u6838&#xff08;\u901a\u5e38\u662f 3\u00d73 \u6216 5\u00d75&#xff09;\u662f\u8ba1\u7b97\u74f6\u9888&#xff0c;\u53ef\u4ee5\u9002\u5f53\u7cbe\u7b80&#xff1b;\u540c\u65f6\u6700\u540e\u7684\u5168\u5c40\u5e73\u5747\u6c60\u5316\u5c42\u53ef\u4ee5\u79fb\u5230 1\u00d71 \u5377\u79ef\u4e4b\u524d&#xff08;SE \u5c42\u4e4b\u540e&#xff09;&#xff0c;\u51cf\u5c11\u6602\u8d35\u7684\u7279\u5f81\u56fe\u8ba1\u7b97\u3002<\/p>\n<p>MobileNetV3-Small \u5728 ImageNet \u4e0a Top-1 \u7cbe\u5ea6\u7ea6 67.4%&#xff0c;\u53c2\u6570\u91cf\u4ec5 2.9M&#xff0c;Pixel 4 \u624b\u673a\u4e0a\u63a8\u7406\u5ef6\u8fdf\u7ea6 5.2ms\u3002\u66ff\u6362 YOLOv10 \u7684 Backbone \u540e&#xff0c;\u6574\u4f53\u6a21\u578b\u53c2\u6570\u91cf\u901a\u5e38\u53ef\u4ee5\u538b\u7f29\u5230\u57fa\u7ebf\u7684 40%-60%&#xff0c;\u7cbe\u5ea6\u635f\u5931\u901a\u5e38\u5728 3%-5%\u3002<\/p>\n<h3>4.3 ShuffleNetV2&#xff1a;\u4e3a\u5b9e\u9645\u901f\u5ea6\u800c\u751f<\/h3>\n<p>ShuffleNetV2 \u9488\u5bf9\u7684\u662f\u4e00\u4e2a\u7cbe\u5999\u7684\u95ee\u9898&#xff1a;\u4e3a\u4ec0\u4e48 ShuffleNetV1 \u5728\u7406\u8bba FLOPs \u5f88\u4f4e\u7684\u60c5\u51b5\u4e0b&#xff0c;\u5b9e\u9645\u901f\u5ea6\u63d0\u5347\u5e76\u4e0d\u663e\u8457&#xff1f;<\/p>\n<p>\u4f5c\u8005\u901a\u8fc7\u5927\u91cf\u5b9e\u9a8c&#xff0c;\u603b\u7ed3\u51fa\u4e86\u56db\u6761\u9ad8\u6548\u7f51\u7edc\u8bbe\u8ba1\u51c6\u5219&#xff08;\u8fd9\u56db\u6761\u51c6\u5219\u672c\u8eab\u5c31\u503c\u5f97\u5355\u72ec\u6df1\u5165\u5b66\u4e60&#xff09;&#xff1a;<\/p>\n<ul>\n<li>G1&#xff08;Equal channel width minimizes memory access cost&#xff09;&#xff1a;\u5185\u5b58\u8bbf\u95ee\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         MAC<\/p>\n<p>         \u2265<\/p>\n<p>         2<\/p>\n<p>           h<\/p>\n<p>           w<\/p>\n<p>           B<\/p>\n<p>            C<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>            C<\/p>\n<p>             o<\/p>\n<p>             u<\/p>\n<p>             t<\/p>\n<p>         \u2265<\/p>\n<p>         2<\/p>\n<p>         h<\/p>\n<p>         w<\/p>\n<p>         B<\/p>\n<p>            C<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>            C<\/p>\n<p>             o<\/p>\n<p>             u<\/p>\n<p>             t<\/p>\n<p>        \\\\text{MAC} \\\\ge 2\\\\sqrt{hwBC_{in}C_{out}} \\\\ge 2hwB\\\\sqrt{C_{in}C_{out}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8193em;vertical-align: -0.136em\"><\/span><span class=\"mord text\"><span class=\"mord\">MAC<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2265<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1828em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8572em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord mathnormal\">h<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.8172em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1828em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2265<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1883em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">h<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8517em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.8117em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1883em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>           i<\/p>\n<p>           n<\/p>\n<p>         &#061;<\/p>\n<p>          C<\/p>\n<p>           o<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>        C_{in} &#061; C_{out}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">in<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6 MAC \u6700\u5c0f&#xff08;\u56fa\u5b9a FLOPs \u4e0b&#xff09;\u3002<\/li>\n<li>G2&#xff08;Excessive group convolution increases MAC&#xff09;&#xff1a;\u5206\u7ec4\u5377\u79ef\u5206\u7ec4\u6570\u8d8a\u591a&#xff0c;MAC \u8d8a\u5927&#xff0c;\u5e94\u9002\u5ea6\u4f7f\u7528\u3002<\/li>\n<li>G3&#xff08;Network fragmentation reduces degree of parallelism&#xff09;&#xff1a;\u7f51\u7edc\u5206\u652f\u8d8a\u591a&#xff08;\u5982 Inception \u91cc\u7684\u591a\u8def\u5e76\u8054&#xff09;&#xff0c;GPU \u5e76\u884c\u6548\u7387\u8d8a\u4f4e\u3002<\/li>\n<li>G4&#xff08;Element-wise operations are non-negligible&#xff09;&#xff1a;\u9010\u5143\u7d20\u64cd\u4f5c&#xff08;\u5982 ReLU\u3001Add\u3001BN&#xff09;\u867d\u7136 FLOPs \u5f88\u5c11&#xff0c;\u4f46 MAC \u4e0d\u4f4e&#xff0c;\u5e94\u5c3d\u91cf\u51cf\u5c11\u3002<\/li>\n<\/ul>\n<p>\u57fa\u4e8e\u8fd9\u56db\u6761\u51c6\u5219&#xff0c;ShuffleNetV2 \u505a\u4e86\u4e24\u4e2a\u5173\u952e\u8bbe\u8ba1\u51b3\u7b56&#xff1a;<\/p>\n<li>\u7528 Channel Split \u66ff\u4ee3 Group Convolution&#xff1a;\u5728\u6bcf\u4e2a Block \u5165\u53e3&#xff0c;\u628a\u901a\u9053\u76f4\u63a5\u5206\u6210\u4e24\u534a&#xff0c;\u4e00\u534a\u8d70\u6052\u7b49\u6620\u5c04&#xff0c;\u53e6\u4e00\u534a\u7ecf\u8fc7\u4e09\u4e2a 1\u00d71\/3\u00d73\/1\u00d71 \u7684\u5377\u79ef&#xff0c;\u51fa\u53e3\u505a Channel Shuffle\u3002\u8fd9\u6837\u6ee1\u8db3\u4e86 G1&#xff08;\u8f93\u5165\u8f93\u51fa\u901a\u9053\u76f8\u7b49&#xff09;\u3001G2&#xff08;\u4e0d\u7528\u5206\u7ec4\u5377\u79ef&#xff09;\u548c G3&#xff08;\u51cf\u5c11\u5206\u652f\u6570&#xff09;\u3002<\/li>\n<li>\u628a ShufleV1 \u91cc\u7684 Add&#xff08;\u9010\u5143\u7d20\u52a0\u6cd5&#xff09;\u6539\u4e3a Concat&#xff08;\u62fc\u63a5&#xff09;&#xff1a;\u6ee1\u8db3 G4&#xff0c;\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u9010\u5143\u7d20\u64cd\u4f5c\u3002<\/li>\n<p>ShuffleNetV2 \u5728 ARM CPU \u4e0a\u7684\u5b9e\u9645\u901f\u5ea6\u63d0\u5347&#xff0c;\u76f8\u6bd4\u540c FLOPs \u7684\u5176\u4ed6\u8f7b\u91cf\u9aa8\u5e72&#xff08;\u5982 ShuffleV1\u3001MobileNetV2&#xff09;\u901a\u5e38\u6709 20%-60% \u7684\u63d0\u5347\u3002\u5bf9\u4e8e\u9700\u8981\u5728 ARM CPU \u4e0a\u8dd1\u7684\u5d4c\u5165\u5f0f AI \u8bbe\u5907&#xff0c;ShuffleNetV2 \u662f\u76ee\u524d\u6700\u503c\u5f97\u8003\u8651\u7684\u8f7b\u91cf\u9aa8\u5e72\u4e4b\u4e00\u3002<\/p>\n<h3>4.4 EfficientNet&#xff1a;\u590d\u5408\u7f29\u653e\u7684\u4f18\u96c5\u4e0e\u5c40\u9650<\/h3>\n<p>EfficientNet \u7684\u6838\u5fc3\u8d21\u732e\u4e0d\u662f\u4e00\u4e2a\u5177\u4f53\u7684\u7f51\u7edc\u7ed3\u6784&#xff0c;\u800c\u662f\u4e00\u4e2a\u7cfb\u7edf\u6027\u7684\u7f51\u7edc\u7f29\u653e\u65b9\u6cd5&#xff08;Compound Scaling&#xff09;\u3002<\/p>\n<p>\u4f20\u7edf\u7684\u7f51\u7edc\u7f29\u653e&#xff0c;\u8981\u4e48\u53ea\u6269\u5927\u6df1\u5ea6&#xff08;\u52a0\u66f4\u591a\u5c42&#xff09;&#xff0c;\u8981\u4e48\u53ea\u6269\u5927\u5bbd\u5ea6&#xff08;\u52a0\u66f4\u591a\u901a\u9053&#xff09;&#xff0c;\u8981\u4e48\u53ea\u63d0\u9ad8\u8f93\u5165\u5206\u8fa8\u7387\u3002EfficientNet \u7684\u4f5c\u8005\u901a\u8fc7 NAS \u627e\u5230\u4e86\u4e00\u4e2a\u57fa\u7840\u7f51\u7edc&#xff08;EfficientNet-B0&#xff09;&#xff0c;\u7136\u540e\u63a8\u5bfc\u51fa&#xff1a;\u5728\u7ed9\u5b9a\u7684\u8ba1\u7b97\u91cf\u7ea6\u675f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03d5<\/p>\n<p>       \\\\phi<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03d5<\/span><\/span><\/span><\/span><\/span> \u4e0b&#xff0c;\u540c\u65f6\u6309\u7167\u56fa\u5b9a\u7684\u6bd4\u4f8b\u7f29\u653e\u6df1\u5ea6\u3001\u5bbd\u5ea6\u3001\u5206\u8fa8\u7387&#xff0c;\u80fd\u591f\u8fbe\u5230\u6700\u4f18\u7684\u7cbe\u5ea6-\u8ba1\u7b97\u91cf\u6743\u8861&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         d<\/p>\n<p>         &#061;<\/p>\n<p>          \u03b1<\/p>\n<p>          \u03d5<\/p>\n<p>         ,<\/p>\n<p>         w<\/p>\n<p>         &#061;<\/p>\n<p>          \u03b2<\/p>\n<p>          \u03d5<\/p>\n<p>         ,<\/p>\n<p>         r<\/p>\n<p>         &#061;<\/p>\n<p>          \u03b3<\/p>\n<p>          \u03d5<\/p>\n<p>        d &#061; \\\\alpha^\\\\phi, \\\\quad w &#061; \\\\beta^\\\\phi, \\\\quad r &#061; \\\\gamma^\\\\phi<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0935em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0935em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0935em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7ea6\u675f\u6761\u4ef6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>        \u22c5<\/p>\n<p>         \u03b2<\/p>\n<p>         2<\/p>\n<p>        \u22c5<\/p>\n<p>         \u03b3<\/p>\n<p>         2<\/p>\n<p>        \u2248<\/p>\n<p>        2<\/p>\n<p>       \\\\alpha \\\\cdot \\\\beta^2 \\\\cdot \\\\gamma^2 \\\\approx 2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0085em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0085em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>        ,<\/p>\n<p>        \u03b2<\/p>\n<p>        ,<\/p>\n<p>        \u03b3<\/p>\n<p>       \\\\alpha, \\\\beta, \\\\gamma<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><\/span><\/span><\/span><\/span> \u901a\u8fc7\u5728 B0 \u4e0a\u505a grid search \u5f97\u5230&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>        &#061;<\/p>\n<p>        1.2<\/p>\n<p>        ,<\/p>\n<p>        \u03b2<\/p>\n<p>        &#061;<\/p>\n<p>        1.1<\/p>\n<p>        ,<\/p>\n<p>        \u03b3<\/p>\n<p>        &#061;<\/p>\n<p>        1.15<\/p>\n<p>       \\\\alpha&#061;1.2, \\\\beta&#061;1.1, \\\\gamma&#061;1.15<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1.2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1.1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1.15<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/p>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u7684\u4f18\u96c5\u4e4b\u5904\u5728\u4e8e&#xff1a;\u7ed9\u5b9a\u4efb\u610f\u76ee\u6807\u8ba1\u7b97\u91cf&#xff0c;\u53ea\u9700\u8c03\u6574 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03d5<\/p>\n<p>       \\\\phi<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03d5<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5c31\u80fd\u81ea\u52a8\u5f97\u5230\u5bf9\u5e94\u7684\u6700\u4f18\u7f51\u7edc\u89c4\u683c&#xff08;EfficientNet-B0 \u5230 B7&#xff09;&#xff0c;\u4e0d\u9700\u8981\u91cd\u65b0\u641c\u7d22\u67b6\u6784\u3002<\/p>\n<p>\u5728 YOLOv10 \u4e2d&#xff0c;\u901a\u5e38\u9009\u62e9 EfficientNet-B0 \u6216 EfficientNet-B1 \u4f5c\u4e3a\u9aa8\u5e72\u66ff\u6362\u65b9\u6848\u2014\u2014\u5b83\u4eec\u5728\u7cbe\u5ea6\u548c\u53c2\u6570\u91cf\u4e4b\u95f4\u7684\u5e73\u8861\u975e\u5e38\u597d&#xff0c;\u7279\u522b\u9002\u5408&#034;\u5e0c\u671b\u5728\u4e00\u5b9a\u7684\u8f7b\u91cf\u5316\u7a0b\u5ea6\u4e0b\u5c3d\u53ef\u80fd\u4fdd\u4f4f\u7cbe\u5ea6&#034;\u7684\u573a\u666f\u3002<\/p>\n<p>EfficientNet \u7684\u4e00\u4e2a\u5b9e\u9645\u5c40\u9650&#xff1a;\u5b83\u7684\u8bbe\u8ba1\u662f\u57fa\u4e8e GPU\/CPU \u7684\u6d6e\u70b9\u8ba1\u7b97&#xff0c;\u5728\u67d0\u4e9b NPU \u4e0a&#xff08;\u5c24\u5176\u662f\u5bf9\u6df1\u5ea6\u53ef\u5206\u79bb\u5377\u79ef\u652f\u6301\u4e0d\u5b8c\u5584\u7684 NPU&#xff09;&#xff0c;\u5b9e\u9645\u63a8\u7406\u901f\u5ea6\u53ef\u80fd\u4e0d\u5982\u53c2\u6570\u91cf\u76f8\u8fd1\u7684 ShuffleNetV2\u3002\u9009\u578b\u65f6\u9700\u8981\u5728\u76ee\u6807\u786c\u4ef6\u4e0a\u5b9e\u6d4b\u3002<\/p>\n<h2>\u4e94\u3001\u4e09\u5927\u65b9\u5411\u7684\u534f\u540c\u4e0e\u6743\u8861&#xff1a;\u6253\u7834&#034;\u4e0d\u53ef\u80fd\u4e09\u89d2&#034;\u7684\u8fb9\u754c<\/h2>\n<h3>5.1 \u7cbe\u5ea6-\u901f\u5ea6-\u4f53\u79ef\u7684&#034;\u5e15\u7d2f\u6258\u524d\u6cbf&#034;<\/h3>\n<p>\u5728\u5b66\u672f\u754c&#xff0c;\u8fd9\u4e09\u4e2a\u76ee\u6807\u4e4b\u95f4\u7684\u5173\u7cfb\u901a\u5e38\u7528 **Pareto \u524d\u6cbf&#xff08;Pareto Frontier&#xff09;**\u6765\u63cf\u8ff0\u2014\u2014\u5728\u67d0\u4e2a\u53ef\u884c\u89e3\u96c6\u5408\u91cc&#xff0c;\u4e00\u7ec4\u89e3\u88ab\u79f0\u4e3a&#034;\u5e15\u7d2f\u6258\u6700\u4f18\u89e3&#034;&#xff0c;\u5f53\u4e14\u4ec5\u5f53\u4e0d\u5b58\u5728\u53e6\u4e00\u4e2a\u89e3&#xff0c;\u5728\u4e0d\u727a\u7272\u4efb\u4f55\u76ee\u6807\u7684\u60c5\u51b5\u4e0b&#xff0c;\u5728\u81f3\u5c11\u4e00\u4e2a\u76ee\u6807\u4e0a\u66f4\u4f18\u3002<\/p>\n<p>\u76f4\u767d\u5730\u8bf4&#xff1a;\u7ed9\u5b9a\u4e00\u4e2a\u56fa\u5b9a\u7684\u6570\u636e\u96c6\u548c\u8bad\u7ec3\u7b56\u7565&#xff0c;\u5b58\u5728\u4e00\u6761&#034;\u6700\u4f18\u66f2\u7ebf&#034;\u2014\u2014\u5728\u8fd9\u6761\u66f2\u7ebf\u4e0a&#xff0c;\u7cbe\u5ea6\u548c\u901f\u5ea6&#xff08;\u6216\u7cbe\u5ea6\u548c\u53c2\u6570\u91cf&#xff09;\u5904\u4e8e\u6700\u4f18\u7684\u6743\u8861\u5173\u7cfb&#xff0c;\u4efb\u4f55\u504f\u79bb\u8fd9\u6761\u66f2\u7ebf\u7684\u8bbe\u8ba1\u90fd\u662f&#034;\u6b21\u4f18\u7684&#034;\u3002\u6211\u4eec\u7684\u6539\u8fdb\u76ee\u6807&#xff0c;\u672c\u8d28\u4e0a\u662f\u628a\u6a21\u578b\u4ece\u6b21\u4f18\u4f4d\u7f6e\u63a8\u5411\u5e15\u7d2f\u6258\u524d\u6cbf&#xff0c;\u6216\u8005\u5728\u5e15\u7d2f\u6258\u524d\u6cbf\u4e0a\u6cbf\u7740\u6211\u4eec\u7684\u76ee\u6807\u65b9\u5411\u79fb\u52a8\u3002<\/p>\n<p>\u800c\u91cd\u53c2\u6570\u5316\u6280\u672f\u4e4b\u6240\u4ee5&#034;\u7279\u522b&#034;&#xff0c;\u662f\u56e0\u4e3a\u5b83\u5728\u4e0d\u6539\u53d8\u63a8\u7406\u4fa7\u5e15\u7d2f\u6258\u524d\u6cbf\u4f4d\u7f6e\u7684\u60c5\u51b5\u4e0b&#xff0c;\u901a\u8fc7\u8bad\u7ec3\u4fa7\u7684\u7ed3\u6784\u590d\u6742\u5316&#xff0c;\u627e\u5230\u4e86\u4e00\u4e2a\u66f4\u597d\u7684\u5c40\u90e8\u6700\u4f18\u89e3\u2014\u2014\u76f8\u5f53\u4e8e\u7528\u8bad\u7ec3\u65f6\u7684\u989d\u5916\u5f00\u9500&#xff0c;\u6362\u6765\u4e86\u7cbe\u5ea6\u7684\u63d0\u5347&#xff0c;\u800c\u63a8\u7406\u901f\u5ea6\u5b8c\u5168\u4e0d\u53d7\u5f71\u54cd\u3002\u8fd9\u79cd\u6280\u672f&#xff0c;\u7b49\u4e8e\u662f&#034;\u6539\u53d8\u4e86\u8bad\u7ec3\u4f18\u5316\u7684\u666f\u89c2&#034;&#xff0c;\u8ba9\u6a21\u578b\u80fd\u6536\u655b\u5230\u66f4\u597d\u7684\u4f4d\u7f6e\u3002<\/p>\n<h3>5.2 \u7ec4\u5408\u6539\u8fdb\u7684&#034;1&#043;1&gt;2&#034;\u6548\u5e94\u4e0e&#034;1&#043;1&lt;1&#034;\u9677\u9631<\/h3>\n<p>\u6539\u8fdb\u4e0d\u662f\u5b64\u7acb\u7684&#xff0c;\u4e0d\u540c\u65b9\u5411\u7684\u6539\u8fdb\u7ec4\u5408\u5728\u4e00\u8d77&#xff0c;\u6709\u65f6\u5019\u4f1a\u4ea7\u751f\u8d85\u9884\u671f\u7684\u534f\u540c\u6548\u5e94&#xff08;1&#043;1&gt;2&#xff09;&#xff0c;\u6709\u65f6\u5019\u4f1a\u4ea7\u751f\u8d1f\u5411\u7684\u5e72\u6270&#xff08;1&#043;1&lt;1&#xff09;\u3002<\/p>\n<p>\u5178\u578b\u7684\u534f\u540c\u6548\u5e94\u6848\u4f8b&#xff1a;<\/p>\n<ul>\n<li>\n<p>P2 \u5c0f\u76ee\u6807\u5c42 &#043; NWD \u635f\u5931&#xff1a;P2 \u5c42\u63d0\u4f9b\u4e86\u9ad8\u5206\u8fa8\u7387\u7684\u7279\u5f81\u56fe&#xff0c;\u4f7f\u5c0f\u76ee\u6807\u6709\u66f4\u591a\u7279\u5f81\u70b9\u53ef\u4ee5\u7528\u4e8e\u68c0\u6d4b&#xff1b;NWD \u635f\u5931\u5219\u9488\u5bf9\u5c0f\u76ee\u6807\u8fb9\u754c\u6846\u7684\u4e0d\u7a33\u5b9a\u6027\u63d0\u4f9b\u4e86\u66f4\u597d\u7684\u68af\u5ea6\u4fe1\u53f7\u3002\u4e24\u8005\u7ed3\u5408&#xff0c;\u5bf9\u5c0f\u76ee\u6807 AP \u7684\u63d0\u5347\u901a\u5e38\u663e\u8457\u4f18\u4e8e\u5355\u72ec\u4f7f\u7528\u4efb\u610f\u4e00\u4e2a\u3002<\/p>\n<\/li>\n<li>\n<p>SimAM &#043; WIoU \u635f\u5931&#xff1a;SimAM \u63d0\u5347\u4e86\u7279\u5f81\u56fe\u8d28\u91cf&#xff08;\u8ba9\u6a21\u578b\u5173\u6ce8\u66f4\u91cd\u8981\u7684\u7a7a\u95f4\u533a\u57df&#xff09;&#xff0c;WIoU \u6539\u5584\u4e86\u8fb9\u754c\u6846\u56de\u5f52\u7684\u6837\u672c\u6743\u91cd\u7b56\u7565&#xff08;\u805a\u7126\u4e8e\u8d28\u91cf\u4e0d\u7a33\u5b9a\u7684\u6837\u672c&#xff09;\u3002\u4e24\u8005\u90fd\u662f&#034;\u51e0\u4e4e\u96f6\u4ee3\u4ef7&#034;\u7684\u6539\u8fdb&#xff0c;\u7ec4\u5408\u4f7f\u7528\u5728\u591a\u4e2a\u6570\u636e\u96c6\u4e0a\u88ab\u9a8c\u8bc1\u662f\u6709\u6548\u7684\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u5178\u578b\u7684\u8d1f\u5e72\u6270\u6848\u4f8b&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u8f7b\u91cf\u9aa8\u5e72\u66ff\u6362 &#043; \u591a\u5c42\u6ce8\u610f\u529b\u53e0\u52a0&#xff1a;\u7528 MobileNetV3 \u66ff\u6362\u4e86\u9aa8\u5e72&#xff08;\u5927\u5e45\u524a\u51cf\u4e86\u7279\u5f81\u8868\u8fbe\u80fd\u529b&#xff09;&#xff0c;\u53c8\u5728\u6bcf\u4e2a Block \u540e\u9762\u53e0\u52a0 CBAM&#xff08;\u589e\u52a0\u5c11\u91cf\u53c2\u6570&#xff09;\u2014\u2014\u7ed3\u679c\u662f MobileNetV3 \u672c\u8eab\u5df2\u7ecf\u662f\u5728\u53c2\u6570\u6548\u7387\u6781\u9650\u9644\u8fd1\u5de5\u4f5c&#xff0c;CBAM \u5e26\u6765\u7684\u53c2\u6570\u589e\u91cf\u867d\u7136\u4e0d\u591a&#xff0c;\u4f46\u5bf9\u6700\u7ec8\u7cbe\u5ea6\u7684\u63d0\u5347\u5f80\u5f80\u804a\u80dc\u4e8e\u65e0&#xff0c;\u56e0\u4e3a\u7279\u5f81\u8868\u8fbe\u80fd\u529b\u7684\u74f6\u9888\u4e0d\u5728\u4e8e&#034;\u5173\u6ce8\u54ea\u91cc&#034;&#xff0c;\u800c\u5728\u4e8e&#034;\u9aa8\u5e72\u7f51\u7edc\u7684\u5bb9\u91cf\u4e0d\u8db3\u4ee5\u63d0\u53d6\u8db3\u591f\u4e30\u5bcc\u7684\u7279\u5f81&#034;\u3002<\/p>\n<\/li>\n<li>\n<p>P2 \u5c42 &#043; \u8f7b\u91cf\u9aa8\u5e72&#xff1a;\u5728 MobileNetV3 \u9aa8\u5e72\u57fa\u7840\u4e0a\u52a0 P2 \u68c0\u6d4b\u5c42&#xff0c;\u7531\u4e8e MobileNetV3 \u6d45\u5c42\u7684\u7279\u5f81\u8d28\u91cf&#xff08;\u5c24\u5176\u662f\u8bed\u4e49\u4fe1\u606f\u7684\u4e30\u5bcc\u7a0b\u5ea6&#xff09;\u4e0d\u5982 YOLOv10 \u539f\u7248\u9aa8\u5e72&#xff0c;P2 \u5c42\u80fd\u5229\u7528\u7684\u9ad8\u8d28\u91cf\u7279\u5f81\u5f88\u6709\u9650&#xff0c;\u6548\u679c\u901a\u5e38\u4e0d\u5982\u5728\u539f\u7248\u9aa8\u5e72\u4e0a\u52a0 P2 \u5c42\u663e\u8457&#xff0c;\u6709\u65f6\u5019\u751a\u81f3\u56e0\u4e3a\u589e\u52a0\u4e86\u8ba1\u7b97\u91cf\u4f46\u7cbe\u5ea6\u6ca1\u6709\u5bf9\u5e94\u63d0\u5347\u800c&#034;\u5f97\u4e0d\u507f\u5931&#034;\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u8fd9\u4e9b\u7ecf\u9a8c\u544a\u8bc9\u6211\u4eec&#xff1a;\u6539\u8fdb\u65b9\u5411\u7684\u9009\u62e9&#xff0c;\u4e0d\u4ec5\u8981\u770b\u5355\u4e2a\u6280\u672f\u7684\u7406\u8bba\u6548\u679c&#xff0c;\u8fd8\u8981\u8003\u8651\u5b83\u5728\u5f53\u524d\u6a21\u578b\u914d\u7f6e\u4e0b\u7684&#034;\u9002\u914d\u6027&#034;\u2014\u2014\u597d\u7684\u6280\u672f\u653e\u5728\u4e0d\u5408\u9002\u7684\u4f4d\u7f6e&#xff0c;\u53ef\u80fd\u662f\u6d6a\u8d39&#xff0c;\u751a\u81f3\u662f\u5e72\u6270\u3002<\/p>\n<h2>\u516d\u3001\u56db\u6b65\u51b3\u7b56\u6846\u67b6&#xff1a;\u4ece\u573a\u666f\u9700\u6c42\u5230\u6539\u8fdb\u65b9\u6848\u7684\u5b8c\u6574\u63a8\u5bfc<\/h2>\n<h3>6.1 \u7b2c\u4e00\u6b65&#xff1a;\u660e\u786e\u90e8\u7f72\u786c\u4ef6\u4e0e\u8ba1\u7b97\u9884\u7b97<\/h3>\n<p>\u5728\u505a\u4efb\u4f55\u6539\u8fdb\u51b3\u7b56\u4e4b\u524d&#xff0c;\u5148\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898&#xff1a;\u6211\u7684\u6a21\u578b\u8981\u8dd1\u5728\u4ec0\u4e48\u786c\u4ef6\u4e0a&#xff0c;\u8fd9\u4e2a\u786c\u4ef6\u7684&#034;\u7b97\u529b\u5929\u82b1\u677f&#034;\u662f\u591a\u5c11&#xff1f;<\/p>\n<table>\n<tr>\u786c\u4ef6\u7c7b\u578b\u5178\u578b\u7b97\u529b\u91cf\u7ea7\u5efa\u8bae\u6700\u5927 FLOPs&#xff08;640\u00d7640\u8f93\u5165&#xff09;\u5efa\u8bae\u6700\u5927 Params<\/tr>\n<tbody>\n<tr>\n<td>\u6570\u636e\u4e2d\u5fc3 GPU&#xff08;A100\/V100&#xff09;<\/td>\n<td>&gt;100 TFLOPS<\/td>\n<td>\u65e0\u4e25\u683c\u4e0a\u9650&#xff08;&gt;100G&#xff09;<\/td>\n<td>\u65e0\u4e25\u683c\u4e0a\u9650<\/td>\n<\/tr>\n<tr>\n<td>\u5de5\u4f5c\u7ad9 GPU&#xff08;RTX 3090\/4090&#xff09;<\/td>\n<td>30-80 TFLOPS<\/td>\n<td>\u5efa\u8bae &lt;50G&#xff08;\u4fdd\u7559\u5e76\u53d1\u4f59\u91cf&#xff09;<\/td>\n<td>&lt;100M<\/td>\n<\/tr>\n<tr>\n<td>Jetson AGX Xavier<\/td>\n<td>32 TOPS&#xff08;INT8&#xff09;<\/td>\n<td>&lt;20G&#xff08;FP32\u7b49\u6548&#xff09;<\/td>\n<td>&lt;50M<\/td>\n<\/tr>\n<tr>\n<td>Jetson Orin Nano<\/td>\n<td>40 TOPS&#xff08;INT8&#xff09;<\/td>\n<td>&lt;15G<\/td>\n<td>&lt;30M<\/td>\n<\/tr>\n<tr>\n<td>ARM CPU&#xff08;Cortex-A72 \u7ea7\u522b&#xff09;<\/td>\n<td>~0.1-0.5 TFLOPS<\/td>\n<td>&lt;5G<\/td>\n<td>&lt;10M<\/td>\n<\/tr>\n<tr>\n<td>\u5d4c\u5165\u5f0f NPU&#xff08;\u4f4e\u529f\u8017\u573a\u666f&#xff09;<\/td>\n<td>&lt;1 TOPS<\/td>\n<td>&lt;2G<\/td>\n<td>&lt;5M<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u628a\u4f60\u7684\u57fa\u7ebf\u6a21\u578b\u7684 FLOPs \u548c Params \u5bf9\u7167\u8fd9\u5f20\u8868&#xff0c;\u770b\u770b\u5b83\u662f\u5426\u5728\u76ee\u6807\u786c\u4ef6\u7684&#034;\u8212\u9002\u533a&#034;\u5185\u3002\u5982\u679c\u5df2\u7ecf\u8d85\u51fa\u4e86\u8212\u9002\u533a&#xff0c;\u90a3\u8f7b\u91cf\u5316\u662f\u7b2c\u4e00\u4f18\u5148\u7ea7&#xff0c;\u7cbe\u5ea6\u6682\u65f6\u9000\u5c45\u5176\u6b21\u3002<\/p>\n<h3>6.2 \u7b2c\u4e8c\u6b65&#xff1a;\u8bc4\u4f30\u5b9e\u65f6\u6027\u8981\u6c42<\/h3>\n<p>\u786e\u8ba4\u786c\u4ef6\u7ea6\u675f\u4e4b\u540e&#xff0c;\u8bc4\u4f30\u573a\u666f\u5bf9\u5ef6\u8fdf\u7684\u8981\u6c42&#xff1a;<\/p>\n<p>\u5f3a\u5b9e\u65f6\u573a\u666f&#xff1a;\u89c6\u9891\u6d41\u6bcf\u5e27\u90fd\u8981\u5904\u7406&#xff0c;\u8981\u6c42\u5ef6\u8fdf\u4f4e\u4e8e\u4e00\u5e27\u7684\u65f6\u95f4\u95f4\u9694\u3002\u5982 25fps \u89c6\u9891\u8981\u6c42\u5ef6\u8fdf &lt;40ms&#xff0c;60fps \u8981\u6c42 &lt;16ms\u3002\u8fd9\u7c7b\u573a\u666f\u4e2d&#xff0c;\u5373\u4fbf\u6a21\u578b\u7cbe\u5ea6\u7565\u4f4e&#xff0c;\u4e5f\u9700\u8981\u786e\u4fdd\u5ef6\u8fdf\u8fbe\u6807&#xff0c;\u5426\u5219&#034;\u79ef\u538b\u5e27&#034;\u4f1a\u5bfc\u81f4\u7cfb\u7edf\u5d29\u6e83\u3002<\/p>\n<p>\u5f31\u5b9e\u65f6\u573a\u666f&#xff1a;\u5904\u7406\u6709\u4e00\u5b9a\u5ef6\u8fdf\u53ef\u63a5\u53d7&#xff0c;\u6bd4\u5982\u6bcf\u9694\u51e0\u79d2\u62cd\u4e00\u5f20\u56fe\u68c0\u6d4b\u3001\u6216\u8005\u6279\u91cf\u79bb\u7ebf\u5206\u6790&#xff0c;\u5bf9\u5355\u5e27\u5ef6\u8fdf\u4e0d\u654f\u611f\u3002\u8fd9\u7c7b\u573a\u666f\u4e0b&#xff0c;\u7cbe\u5ea6\u5f80\u5f80\u6bd4\u901f\u5ea6\u66f4\u91cd\u8981\u3002<\/p>\n<p>\u5f02\u6b65\u573a\u666f&#xff1a;\u68c0\u6d4b\u7ed3\u679c\u4e0d\u9700\u8981\u540c\u6b65\u8fd4\u56de&#xff0c;\u53ef\u4ee5\u5f02\u6b65\u5904\u7406&#xff08;\u6bd4\u5982\u5b89\u9632\u7cfb\u7edf\u91cc\u7684\u4e8b\u540e\u56de\u6eaf\u5206\u6790&#xff09;\u3002\u8fd9\u7c7b\u573a\u666f\u6700\u5bbd\u677e&#xff0c;\u53ef\u4ee5\u8dd1\u66f4\u5927\u7684\u6a21\u578b\u8ffd\u6c42\u66f4\u9ad8\u7cbe\u5ea6\u3002<\/p>\n<h3>6.3 \u7b2c\u4e09\u6b65&#xff1a;\u5b9a\u4f4d\u7cbe\u5ea6\u77ed\u677f\u7c7b\u578b<\/h3>\n<p>\u5982\u679c\u786c\u4ef6\u7ea6\u675f\u548c\u5b9e\u65f6\u6027\u7ea6\u675f\u90fd\u80fd\u6ee1\u8db3&#xff0c;\u90a3\u7cbe\u5ea6\u77ed\u677f\u7684\u5206\u6790\u5c31\u6210\u4e86\u6539\u8fdb\u7684\u6838\u5fc3\u9a71\u52a8\u529b\u3002<\/p>\n<p>\u901a\u8fc7\u4ee5\u4e0b\u51e0\u4e2a\u8bca\u65ad\u6b65\u9aa4\u6765\u5b9a\u4f4d\u7cbe\u5ea6\u77ed\u677f&#xff1a;<\/p>\n<p>\u8bca\u65ad\u4e00&#xff1a;\u5404\u7c7b\u522b AP \u5206\u5e03\u5206\u6790\u3002\u627e\u51fa AP \u6700\u4f4e\u7684\u4e09\u5230\u4e94\u4e2a\u7c7b\u522b&#xff0c;\u5206\u6790\u8fd9\u4e9b\u7c7b\u522b\u7684\u5171\u540c\u7279\u5f81\u2014\u2014\u5b83\u4eec\u662f\u4e0d\u662f\u666e\u904d\u6bd4\u8f83\u5c0f&#xff1f;\u662f\u4e0d\u662f\u6709\u4e25\u91cd\u7684\u7c7b\u522b\u4e0d\u5747\u8861&#xff08;\u8bad\u7ec3\u6837\u672c\u6781\u5c11&#xff09;&#xff1f;\u8fd8\u662f\u7ecf\u5e38\u88ab\u906e\u6321&#xff1f;<\/p>\n<p>\u8bca\u65ad\u4e8c&#xff1a;\u6309\u76ee\u6807\u5c3a\u5bf8\u5206\u6790 AP\u3002\u628a\u9a8c\u8bc1\u96c6\u4e0a\u7684\u76ee\u6807\u6309\u9762\u79ef\u5206\u6210\u4e09\u6863&#xff1a;small&#xff08;\u9762\u79ef &lt;32\u00b2 \u50cf\u7d20&#xff09;\u3001medium&#xff08;32\u00b2-96\u00b2&#xff09;\u3001large&#xff08;&gt;96\u00b2&#xff09;&#xff0c;\u5206\u522b\u7edf\u8ba1 AP\u3002\u5982\u679c small AP \u8fdc\u4f4e\u4e8e medium \u548c large&#xff0c;\u90a3\u5c0f\u76ee\u6807\u68c0\u6d4b\u662f\u4e3b\u8981\u77ed\u677f&#xff1b;\u5982\u679c\u4e09\u6863\u90fd\u5dee\u4e0d\u591a&#xff0c;\u8bf4\u660e\u95ee\u9898\u662f\u5168\u5c40\u6027\u7684&#xff0c;\u4e0d\u662f\u5c3a\u5ea6\u7279\u5f02\u6027\u7684\u3002<\/p>\n<p>\u8bca\u65ad\u4e09&#xff1a;\u53ec\u56de\u7387 vs \u7cbe\u5ea6\u5206\u6790\u3002\u5982\u679c Recall \u5f88\u4f4e\u4f46 Precision \u8f83\u9ad8&#xff0c;\u8bf4\u660e\u6a21\u578b\u7684\u95ee\u9898\u662f&#034;\u6f0f\u68c0&#034;\u2014\u2014\u8be5\u68c0\u51fa\u7684\u6ca1\u68c0\u51fa&#xff0c;\u8fd9\u901a\u5e38\u548c\u5c0f\u76ee\u6807\u3001\u5bc6\u96c6\u76ee\u6807\u3001\u906e\u6321\u76ee\u6807\u6709\u5173&#xff1b;\u5982\u679c Recall \u4e0d\u9519\u4f46 Precision \u504f\u4f4e&#xff0c;\u8bf4\u660e\u6a21\u578b\u7684\u95ee\u9898\u662f&#034;\u8bef\u68c0&#034;\u2014\u2014\u4e0d\u8be5\u68c0\u51fa\u7684\u68c0\u51fa\u4e86&#xff0c;\u8fd9\u901a\u5e38\u548c\u7c7b\u522b\u76f8\u4f3c\u5ea6\u9ad8\u3001\u80cc\u666f\u566a\u58f0\u5f3a\u6709\u5173\u3002<\/p>\n<h3>6.4 \u7b2c\u56db\u6b65&#xff1a;\u6309\u4f18\u5148\u7ea7\u5236\u5b9a\u6539\u8fdb\u8def\u7ebf<\/h3>\n<p>\u7efc\u5408\u524d\u4e09\u6b65\u7684\u7ed3\u8bba&#xff0c;\u5236\u5b9a\u6539\u8fdb\u8def\u7ebf\u65f6\u9075\u5faa\u8fd9\u4e2a\u4f18\u5148\u7ea7\u89c4\u5219&#xff1a;<\/p>\n<p><span class=\"token number\">1.<\/span> \u5148\u6ee1\u8db3\u786c\u4ef6\u7ea6\u675f&#xff08;\u8f7b\u91cf\u5316&#xff0c;\u5982\u679c\u9700\u8981\u7684\u8bdd&#xff09;<br \/>\n<span class=\"token number\">2.<\/span> \u518d\u6ee1\u8db3\u5b9e\u65f6\u6027\u8981\u6c42&#xff08;\u63d0\u901f&#xff0c;\u5982\u679c\u9700\u8981\u7684\u8bdd&#xff09;<br \/>\n<span class=\"token number\">3.<\/span> \u5728\u6ee1\u8db3\u4e0a\u8ff0\u4e24\u4e2a\u7ea6\u675f\u7684\u524d\u63d0\u4e0b&#xff0c;\u9009\u62e9\u6027\u4ef7\u6bd4\u6700\u9ad8\u7684\u6da8\u70b9\u624b\u6bb5<br \/>\n<span class=\"token number\">4.<\/span> \u7cbe\u5ea6\u8fbe\u6807\u540e&#xff0c;\u8003\u8651\u989d\u5916\u7684\u901f\u5ea6\u4f18\u5316&#xff08;\u8fdb\u4e00\u6b65\u63d0\u5347\u541e\u5410\u91cf&#xff09;<\/p>\n<p>\u6700\u91cd\u8981\u7684\u539f\u5219&#xff1a;\u4e0d\u8981\u5728\u7cbe\u5ea6\u7ea6\u675f\u4e0d\u660e\u786e\u7684\u60c5\u51b5\u4e0b\u8c08\u63d0\u901f&#xff0c;\u4e5f\u4e0d\u8981\u5728\u786c\u4ef6\u7ea6\u675f\u4e0d\u660e\u786e\u7684\u60c5\u51b5\u4e0b\u8c08\u8f7b\u91cf\u5316\u3002\u7ea6\u675f\u9a71\u52a8\u6539\u8fdb&#xff0c;\u800c\u4e0d\u662f\u6280\u672f\u9a71\u52a8\u6539\u8fdb\u3002<\/p>\n<h2>\u4e03\u3001\u91cf\u5316\u8bc4\u4f30\u4f53\u7cfb&#xff1a;\u7528\u6570\u5b57\u8bf4\u8bdd<\/h2>\n<h3>7.1 \u4e94\u4e2a\u6838\u5fc3\u8bc4\u4f30\u6307\u6807<\/h3>\n<table>\n<tr>\u6307\u6807\u542b\u4e49\u4e3b\u8981\u7528\u9014\u6d4b\u91cf\u65b9\u5f0f<\/tr>\n<tbody>\n<tr>\n<td>mAP50-95<\/td>\n<td>COCO \u6807\u51c6\u68c0\u6d4b\u7cbe\u5ea6&#xff0c;IoU \u9608\u503c\u4ece 0.5 \u5230 0.95 \u6b65\u957f 0.05 \u7684\u5e73\u5747<\/td>\n<td>\u6da8\u70b9\u8bc4\u4f30\u7684\u91d1\u6807\u51c6<\/td>\n<td>model.val() \u8fd4\u56de<\/td>\n<\/tr>\n<tr>\n<td>Params&#xff08;M&#xff09;<\/td>\n<td>\u53ef\u8bad\u7ec3\u53c2\u6570\u91cf&#xff0c;\u5355\u4f4d\u767e\u4e07<\/td>\n<td>\u8f7b\u91cf\u5316\u8bc4\u4f30<\/td>\n<td>model.info() \u8fd4\u56de<\/td>\n<\/tr>\n<tr>\n<td>FLOPs&#xff08;G&#xff09;<\/td>\n<td>\u5355\u6b21\u524d\u5411\u4f20\u64ad\u6d6e\u70b9\u8fd0\u7b97\u91cf&#xff0c;\u4ee5 640\u00d7640 \u4e3a\u57fa\u51c6<\/td>\n<td>\u8ba1\u7b97\u590d\u6742\u5ea6\u53c2\u8003<\/td>\n<td>model.info() \u8fd4\u56de<\/td>\n<\/tr>\n<tr>\n<td>FPS<\/td>\n<td>\u76ee\u6807\u786c\u4ef6\u4e0a\u6bcf\u79d2\u5904\u7406\u5e27\u6570<\/td>\n<td>\u901f\u5ea6\u8bc4\u4f30\u7684\u552f\u4e00\u53ef\u4fe1\u6307\u6807<\/td>\n<td>\u76ee\u6807\u786c\u4ef6\u5b9e\u6d4b<\/td>\n<\/tr>\n<tr>\n<td>\u663e\u5b58\u5cf0\u503c&#xff08;MB&#xff09;<\/td>\n<td>\u63a8\u7406\u8fc7\u7a0b\u4e2d\u7684\u6700\u9ad8\u663e\u5b58\u5360\u7528<\/td>\n<td>\u90e8\u7f72\u53ef\u884c\u6027\u8bc4\u4f30<\/td>\n<td>torch.cuda.max_memory_allocated()<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6709\u51e0\u70b9\u9700\u8981\u7279\u522b\u8bf4\u660e&#xff1a;<\/p>\n<p>\u5173\u4e8e mAP50 vs mAP50-95 \u7684\u9009\u62e9&#xff1a;mAP50&#xff08;\u4ec5\u5728 IoU&#061;0.5 \u9608\u503c\u4e0b\u8ba1\u7b97&#xff09;\u66f4&#034;\u5bbd\u5bb9&#034;&#xff0c;\u5bf9\u8fb9\u754c\u6846\u5b9a\u4f4d\u4e0d\u591f\u7cbe\u51c6\u7684\u6a21\u578b\u4f1a\u7ed9\u51fa\u865a\u9ad8\u7684\u5206\u6570&#xff1b;mAP50-95 \u5bf9\u5b9a\u4f4d\u7cbe\u5ea6\u6709\u66f4\u9ad8\u8981\u6c42&#xff0c;\u662f COCO \u7ade\u8d5b\u7684\u6807\u51c6\u6307\u6807&#xff0c;\u4e5f\u662f\u5728\u5de5\u7a0b\u4e0a\u5e94\u8be5\u91cd\u70b9\u5173\u6ce8\u7684\u6307\u6807\u3002\u4e24\u4e2a\u90fd\u8bb0\u5f55&#xff0c;\u4f46\u4ee5 mAP50-95 \u4e3a\u4e3b\u3002<\/p>\n<p>\u5173\u4e8e FLOPs \u548c FPS \u7684\u5173\u7cfb&#xff1a;\u5982\u524d\u6240\u8ff0&#xff0c;FLOPs \u53ea\u662f\u8ba1\u7b97\u91cf\u7684\u53c2\u8003\u503c&#xff0c;\u4e0d\u80fd\u4ee3\u66ff\u5b9e\u6d4b FPS\u3002\u5efa\u8bae\u505a\u4e00\u4e2a&#034;FLOPs-FPS \u6563\u70b9\u56fe&#034;\u2014\u2014\u628a\u591a\u6b21\u6539\u8fdb\u7684 FLOPs \u548c\u5bf9\u5e94\u7684 FPS \u753b\u5728\u540c\u4e00\u4e2a\u5750\u6807\u7cfb\u91cc&#xff0c;\u89c2\u5bdf\u5b83\u4eec\u7684\u76f8\u5173\u6027\u3002\u5982\u679c\u67d0\u4e2a\u6539\u8fdb FLOPs \u4e0b\u964d\u4e86\u4f46 FPS \u6ca1\u6da8&#xff0c;\u8bf4\u660e\u8fd9\u4e2a\u6a21\u5757\u5728\u76ee\u6807\u786c\u4ef6\u4e0a\u5b58\u5728\u6548\u7387\u95ee\u9898\u3002<\/p>\n<h3>7.2 \u57fa\u7ebf\u753b\u50cf\u4ee3\u7801&#xff08;\u5b8c\u6574\u7248&#xff09;<\/h3>\n<p>\u4e0b\u9762\u8fd9\u6bb5\u4ee3\u7801\u628a\u6240\u6709\u4e94\u4e2a\u6838\u5fc3\u6307\u6807\u7684\u6d4b\u91cf\u96c6\u6210\u5728\u4e00\u8d77&#xff0c;\u662f\u7b2c\u516d\u7ae0\u6240\u6709\u6539\u8fdb\u5b9e\u9a8c\u7684&#034;\u5ea6\u91cf\u4eea\u5668&#034;\u3002\u8bfb\u61c2\u8fd9\u6bb5\u4ee3\u7801&#xff0c;\u6bd4\u8bfb\u61c2\u5f88\u591a\u5177\u4f53\u7684\u6539\u8fdb\u6a21\u5757\u66f4\u91cd\u8981\u2014\u2014\u56e0\u4e3a\u5b83\u662f\u4f60\u5224\u65ad&#034;\u6539\u8fdb\u5230\u5e95\u6709\u6ca1\u6709\u7528&#034;\u7684\u5e95\u5c42\u5de5\u5177\u3002<\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># baseline_profile.py<\/span><br \/>\n<span class=\"token comment\">#<\/span><br \/>\n<span class=\"token comment\"># \u529f\u80fd&#xff1a;\u5bf9 YOLOv10 \u57fa\u7ebf\u6a21\u578b\u8fdb\u884c\u7cbe\u5ea6\u3001\u53c2\u6570\u91cf\u3001\u8ba1\u7b97\u91cf\u3001<\/span><br \/>\n<span class=\"token comment\">#       \u63a8\u7406\u901f\u5ea6\u3001\u663e\u5b58\u5360\u7528\u7684\u5168\u9762\u753b\u50cf<\/span><br \/>\n<span class=\"token comment\">#<\/span><br \/>\n<span class=\"token comment\"># \u7528\u6cd5&#xff1a;\u5728\u6bcf\u6b21\u6a21\u5757\u6539\u8fdb\u524d\u540e\u5404\u8dd1\u4e00\u6b21&#xff0c;\u5bf9\u6bd4\u8f93\u51fa\u5373\u53ef\u5224\u65ad\u6539\u8fdb\u6548\u679c<\/span><br \/>\n<span class=\"token comment\">#<\/span><br \/>\n<span class=\"token comment\"># \u4f9d\u8d56&#xff1a;ultralytics &gt;&#061; 8.1.0, torch &gt;&#061; 2.0.0, pandas<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><\/p>\n<p><span class=\"token keyword\">import<\/span> torch<br \/>\n<span class=\"token keyword\">import<\/span> time<br \/>\n<span class=\"token keyword\">import<\/span> json<br \/>\n<span class=\"token keyword\">import<\/span> warnings<br \/>\n<span class=\"token keyword\">from<\/span> pathlib <span class=\"token keyword\">import<\/span> Path<br \/>\n<span class=\"token keyword\">from<\/span> ultralytics <span class=\"token keyword\">import<\/span> YOLO<\/p>\n<p>warnings<span class=\"token punctuation\">.<\/span>filterwarnings<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;ignore&#039;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/span><br \/>\n<span class=\"token comment\"># \u5de5\u5177\u51fd\u6570&#xff1a;\u6d4b\u91cf\u5355\u6b21\u63a8\u7406\u7684\u5ef6\u8fdf\u548c\u663e\u5b58\u5360\u7528<\/span><br \/>\n<span class=\"token comment\"># &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">profile_speed<\/span><span class=\"token punctuation\">(<\/span><br \/>\n    model<span class=\"token punctuation\">:<\/span> YOLO<span class=\"token punctuation\">,<\/span><br \/>\n    imgsz<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">640<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    device<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    n_warmup<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">50<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    n_iters<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">300<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    batch_size<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    \u6d4b\u91cf\u6a21\u578b\u7684\u63a8\u7406\u901f\u5ea6\u548c\u663e\u5b58\u5360\u7528\u3002<\/p>\n<p>    Args:<br \/>\n        model:      Ultralytics YOLO \u6a21\u578b\u5bf9\u8c61<br \/>\n        imgsz:      \u8f93\u5165\u5206\u8fa8\u7387&#xff08;\u6b63\u65b9\u5f62\u8fb9\u957f&#xff09;<br \/>\n        device:     &#039;cuda&#039; \u6216 &#039;cpu&#039;<br \/>\n        n_warmup:   \u9884\u70ed\u8fed\u4ee3\u6b21\u6570&#xff08;\u6392\u9664 CUDA \u51b7\u542f\u52a8\u5f00\u9500&#xff09;<br \/>\n        n_iters:    \u6b63\u5f0f\u6d4b\u901f\u8fed\u4ee3\u6b21\u6570&#xff08;\u5efa\u8bae &gt;&#061;200&#xff0c;\u7edf\u8ba1\u610f\u4e49\u66f4\u5f3a&#xff09;<br \/>\n        batch_size: \u6d4b\u901f\u65f6\u7684 batch \u5927\u5c0f&#xff08;\u6a21\u62df\u771f\u5b9e\u63a8\u7406\u573a\u666f&#xff09;<\/p>\n<p>    Returns:<br \/>\n        \u5305\u542b latency_ms\u3001fps\u3001peak_mem_mb \u7684\u5b57\u5178<br \/>\n    &#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token comment\"># \u63d0\u53d6\u5e95\u5c42 PyTorch \u6a21\u578b&#xff0c;\u907f\u514d Ultralytics \u5c01\u88c5\u7684\u9884\/\u540e\u5904\u7406\u5f00\u9500<\/span><br \/>\n    net <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">.<\/span>model<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span><span class=\"token builtin\">eval<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u6784\u9020 dummy \u8f93\u5165&#xff1a;batch_size \u5f20\u968f\u673a\u56fe&#xff0c;\u6a21\u62df\u63a8\u7406\u8f93\u5165<\/span><br \/>\n    dummy <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>randn<span class=\"token punctuation\">(<\/span>batch_size<span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> imgsz<span class=\"token punctuation\">,<\/span> imgsz<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u6e05\u7a7a\u663e\u5b58\u7edf\u8ba1\u8ba1\u6570\u5668&#xff0c;\u786e\u4fdd\u5cf0\u503c\u663e\u5b58\u6d4b\u91cf\u7684\u51c6\u786e\u6027<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> device <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>empty_cache<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>reset_peak_memory_stats<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># &#8212;&#8212; \u9884\u70ed\u9636\u6bb5 &#8212;&#8212;<\/span><br \/>\n    <span class=\"token comment\"># CUDA kernel \u9996\u6b21\u542f\u52a8\u6709 JIT \u7f16\u8bd1\/\u5185\u5b58\u5206\u914d\u7684\u51b7\u542f\u52a8\u5f00\u9500<\/span><br \/>\n    <span class=\"token comment\"># \u9884\u70ed 50 \u6b21\u53ef\u4ee5\u8ba9\u8fd9\u90e8\u5206\u5f00\u9500\u5728\u6d4b\u91cf\u4e4b\u524d\u5145\u5206&#034;\u6d88\u6563&#034;<\/span><br \/>\n    <span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>n_warmup<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            net<span class=\"token punctuation\">(<\/span>dummy<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u786e\u4fdd\u9884\u70ed\u671f\u95f4\u7684\u6240\u6709 CUDA \u5f02\u6b65\u64cd\u4f5c\u5df2\u5b8c\u6210<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> device <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>synchronize<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># &#8212;&#8212; \u6b63\u5f0f\u6d4b\u901f\u9636\u6bb5 &#8212;&#8212;<\/span><br \/>\n    <span class=\"token comment\"># \u8bb0\u5f55\u5f00\u59cb\u65f6\u95f4&#xff08;\u5fc5\u987b\u5728 synchronize \u4e4b\u540e&#xff0c;\u5426\u5219\u8ba1\u65f6\u4e0d\u51c6&#xff09;<\/span><br \/>\n    t_start <span class=\"token operator\">&#061;<\/span> time<span class=\"token punctuation\">.<\/span>perf_counter<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>n_iters<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            net<span class=\"token punctuation\">(<\/span>dummy<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u7b49\u5f85\u6240\u6709\u5f02\u6b65 CUDA \u64cd\u4f5c\u5b8c\u6210\u540e\u518d\u8ba1\u65f6\u7ed3\u675f<\/span><br \/>\n    <span class=\"token comment\"># \u4e0d\u52a0\u8fd9\u4e00\u884c&#xff0c;\u8ba1\u65f6\u53ea\u53cd\u6620 CPU \u53d1\u8d77\u8c03\u7528\u7684\u65f6\u95f4&#xff0c;\u975e\u5e38\u4e0d\u51c6<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> device <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>synchronize<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>    t_end <span class=\"token operator\">&#061;<\/span> time<span class=\"token punctuation\">.<\/span>perf_counter<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># &#8212;&#8212; \u8ba1\u7b97\u7edf\u8ba1\u91cf &#8212;&#8212;<\/span><br \/>\n    total_time <span class=\"token operator\">&#061;<\/span> t_end <span class=\"token operator\">&#8211;<\/span> t_start<br \/>\n    latency_per_sample_ms <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>total_time <span class=\"token operator\">\/<\/span> n_iters <span class=\"token operator\">\/<\/span> batch_size<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">1000<\/span><br \/>\n    fps <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>n_iters <span class=\"token operator\">*<\/span> batch_size<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> total_time<\/p>\n<p>    peak_mem_mb <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.0<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> device <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        peak_mem_mb <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><br \/>\n            torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>max_memory_allocated<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1024<\/span> <span class=\"token operator\">**<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token string\">&#039;latency_ms&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>latency_per_sample_ms<span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;fps&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>fps<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;peak_mem_mb&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>peak_mem_mb<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;device&#039;<\/span><span class=\"token punctuation\">:<\/span> device<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;imgsz&#039;<\/span><span class=\"token punctuation\">:<\/span> imgsz<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;batch_size&#039;<\/span><span class=\"token punctuation\">:<\/span> batch_size<span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\"># &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/span><br \/>\n<span class=\"token comment\"># \u5de5\u5177\u51fd\u6570&#xff1a;\u83b7\u53d6\u6a21\u578b\u7684\u53c2\u6570\u91cf\u548c FLOPs<\/span><br \/>\n<span class=\"token comment\"># &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">profile_params_flops<\/span><span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">:<\/span> YOLO<span class=\"token punctuation\">,<\/span> imgsz<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">640<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    \u83b7\u53d6\u6a21\u578b\u7684\u53c2\u6570\u91cf&#xff08;M&#xff09;\u548c\u8ba1\u7b97\u91cf&#xff08;GFLOPs&#xff09;\u3002<br \/>\n    \u76f4\u63a5\u8c03\u7528 Ultralytics \u7684 model.info() \u89e3\u6790\u8f93\u51fa\u3002<\/p>\n<p>    Returns:<br \/>\n        \u5305\u542b params_M\u3001flops_G \u7684\u5b57\u5178<br \/>\n    &#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token comment\"># model.info() \u8fd4\u56de (layers, params, gradients, flops)<\/span><br \/>\n    info <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">.<\/span>model<span class=\"token punctuation\">.<\/span>info<span class=\"token punctuation\">(<\/span>verbose<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> imgsz<span class=\"token operator\">&#061;<\/span>imgsz<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># Ultralytics &gt;&#061; 8.1 \u7248\u672c info \u8fd4\u56de tuple&#xff0c;\u517c\u5bb9\u5904\u7406<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">isinstance<\/span><span class=\"token punctuation\">(<\/span>info<span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token builtin\">list<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">tuple<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>info<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        _<span class=\"token punctuation\">,<\/span> params<span class=\"token punctuation\">,<\/span> _<span class=\"token punctuation\">,<\/span> flops <span class=\"token operator\">&#061;<\/span> info<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> info<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> info<span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> info<span class=\"token punctuation\">[<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token comment\"># \u90e8\u5206\u7248\u672c\u76f4\u63a5\u6253\u5370&#xff0c;\u9700\u8981\u4ece model.info \u6e90\u7801\u83b7\u53d6<\/span><br \/>\n        <span class=\"token comment\"># \u8fd9\u91cc\u505a\u4e00\u4e2a fallback&#xff1a;\u624b\u52a8\u8ba1\u7b97\u53c2\u6570\u91cf<\/span><br \/>\n        params <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">.<\/span>numel<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> p <span class=\"token keyword\">in<\/span> model<span class=\"token punctuation\">.<\/span>model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                     <span class=\"token keyword\">if<\/span> p<span class=\"token punctuation\">.<\/span>requires_grad<span class=\"token punctuation\">)<\/span><br \/>\n        flops <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span>  <span class=\"token comment\"># \u9700\u8981 thop \u5e93&#xff0c;\u6b64\u5904\u7701\u7565<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token string\">&#039;params_M&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>params <span class=\"token operator\">\/<\/span> <span class=\"token number\">1e6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> params <span class=\"token keyword\">else<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;flops_G&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>flops<span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> flops <span class=\"token keyword\">else<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\"># &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/span><br \/>\n<span class=\"token comment\"># \u4e3b\u6d41\u7a0b<\/span><br \/>\n<span class=\"token comment\"># &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">run_baseline_profile<\/span><span class=\"token punctuation\">(<\/span><br \/>\n    model_path<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;yolov10n.pt&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    data_yaml<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;coco128.yaml&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    imgsz<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">640<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    output_json<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;baseline_profile.json&#039;<\/span><br \/>\n<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    \u5bf9\u6307\u5b9a\u6a21\u578b\u505a\u5b8c\u6574\u7684\u57fa\u7ebf\u753b\u50cf&#xff0c;\u8f93\u51fa\u6240\u6709\u6838\u5fc3\u6307\u6807\u3002<\/p>\n<p>    Args:<br \/>\n        model_path:  \u6a21\u578b\u6743\u91cd\u8def\u5f84&#xff08;.pt \u6587\u4ef6&#xff09;<br \/>\n        data_yaml:   \u9a8c\u8bc1\u96c6\u914d\u7f6e\u6587\u4ef6&#xff08;Ultralytics \u683c\u5f0f yaml&#xff09;<br \/>\n        imgsz:       \u8f93\u5165\u5206\u8fa8\u7387<br \/>\n        output_json: \u7ed3\u679c\u4fdd\u5b58\u8def\u5f84&#xff08;JSON \u683c\u5f0f&#xff0c;\u4fbf\u4e8e\u540e\u7eed\u5bf9\u6bd4&#xff09;<\/p>\n<p>    Returns:<br \/>\n        \u5305\u542b\u6240\u6709\u57fa\u7ebf\u6307\u6807\u7684\u5b57\u5178<br \/>\n    &#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\\\\n<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token string\">&#039;&#061;&#039;<\/span><span class=\"token operator\">*<\/span><span class=\"token number\">65<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034; \u57fa\u7ebf\u753b\u50cf | \u6a21\u578b&#xff1a;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>model_path<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token string\">&#039;&#061;&#039;<\/span><span class=\"token operator\">*<\/span><span class=\"token number\">65<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># 1. \u52a0\u8f7d\u6a21\u578b<\/span><br \/>\n    model <span class=\"token operator\">&#061;<\/span> YOLO<span class=\"token punctuation\">(<\/span>model_path<span class=\"token punctuation\">)<\/span><br \/>\n    device <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span> <span class=\"token keyword\">if<\/span> torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>is_available<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token string\">&#039;cpu&#039;<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  \u8fd0\u884c\u8bbe\u5907&#xff1a;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>device<span class=\"token punctuation\">.<\/span>upper<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># 2. \u7cbe\u5ea6\u8bc4\u4f30&#xff08;\u5728 val \u96c6\u4e0a\u8dd1\u63a8\u7406&#xff09;<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n[1\/3] \u7cbe\u5ea6\u8bc4\u4f30&#xff08;mAP&#xff09;&#8230;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    metrics <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">(<\/span><br \/>\n        data<span class=\"token operator\">&#061;<\/span>data_yaml<span class=\"token punctuation\">,<\/span><br \/>\n        imgsz<span class=\"token operator\">&#061;<\/span>imgsz<span class=\"token punctuation\">,<\/span><br \/>\n        verbose<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        save<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        plots<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><br \/>\n    <span class=\"token punctuation\">)<\/span><br \/>\n    accuracy <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token string\">&#039;mAP50&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span>metrics<span class=\"token punctuation\">.<\/span>box<span class=\"token punctuation\">.<\/span>map50<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;mAP50_95&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span>metrics<span class=\"token punctuation\">.<\/span>box<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">map<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;Precision&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span>metrics<span class=\"token punctuation\">.<\/span>box<span class=\"token punctuation\">.<\/span>mp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;Recall&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span>metrics<span class=\"token punctuation\">.<\/span>box<span class=\"token punctuation\">.<\/span>mr<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  mAP50-95 : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>accuracy<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;mAP50_95&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  mAP50    : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>accuracy<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;mAP50&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  Precision: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>accuracy<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;Precision&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  Recall   : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>accuracy<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;Recall&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># 3. \u53c2\u6570\u91cf\u548c\u8ba1\u7b97\u91cf<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n[2\/3] \u53c2\u6570\u91cf &amp; FLOPs&#8230;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    arch_info <span class=\"token operator\">&#061;<\/span> profile_params_flops<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> imgsz<span class=\"token operator\">&#061;<\/span>imgsz<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  Params  : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>arch_info<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;params_M&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> M&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  FLOPs   : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>arch_info<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;flops_G&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> G&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># 4. \u63a8\u7406\u901f\u5ea6\u548c\u663e\u5b58<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n[3\/3] \u63a8\u7406\u901f\u5ea6 &amp; \u663e\u5b58&#8230;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    speed_info <span class=\"token operator\">&#061;<\/span> profile_speed<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> imgsz<span class=\"token operator\">&#061;<\/span>imgsz<span class=\"token punctuation\">,<\/span> device<span class=\"token operator\">&#061;<\/span>device<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  \u5ef6\u8fdf     : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>speed_info<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;latency_ms&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> ms\/\u5e27&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  \u541e\u5410\u91cf   : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>speed_info<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;fps&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> FPS&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> device <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  \u5cf0\u503c\u663e\u5b58 : <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>speed_info<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;peak_mem_mb&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> MB&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># 5. \u6c47\u603b\u5e76\u4fdd\u5b58<\/span><br \/>\n    result <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token string\">&#039;model&#039;<\/span><span class=\"token punctuation\">:<\/span> model_path<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;imgsz&#039;<\/span><span class=\"token punctuation\">:<\/span> imgsz<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;device&#039;<\/span><span class=\"token punctuation\">:<\/span> device<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token operator\">**<\/span>accuracy<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token operator\">**<\/span>arch_info<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token operator\">**<\/span>speed_info<span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">with<\/span> <span class=\"token builtin\">open<\/span><span class=\"token punctuation\">(<\/span>output_json<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;w&#039;<\/span><span class=\"token punctuation\">,<\/span> encoding<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;utf-8&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">as<\/span> f<span class=\"token punctuation\">:<\/span><br \/>\n        json<span class=\"token punctuation\">.<\/span>dump<span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">,<\/span> f<span class=\"token punctuation\">,<\/span> ensure_ascii<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> indent<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\\\\n\u7ed3\u679c\u5df2\u4fdd\u5b58\u81f3 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>output_json<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token string\">&#039;&#061;&#039;<\/span><span class=\"token operator\">*<\/span><span class=\"token number\">65<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\\\\n&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> result<\/p>\n<p><span class=\"token keyword\">if<\/span> __name__ <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#039;__main__&#039;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    run_baseline_profile<span class=\"token punctuation\">(<\/span><br \/>\n        model_path<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;yolov10n.pt&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        data_yaml<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;coco128.yaml&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        imgsz<span class=\"token operator\">&#061;<\/span><span class=\"token number\">640<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        output_json<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;exp_baseline.json&#039;<\/span><br \/>\n    <span class=\"token punctuation\">)<\/span><\/p>\n<h3>7.3 \u5b9e\u9a8c\u8bb0\u5f55\u4e0e\u5bf9\u6bd4\u6846\u67b6<\/h3>\n<p>\u6709\u4e86\u57fa\u7ebf\u753b\u50cf\u4e4b\u540e&#xff0c;\u6bcf\u6b21\u505a\u6539\u8fdb\u5b9e\u9a8c&#xff0c;\u90fd\u9700\u8981\u7528\u76f8\u540c\u7684\u6d41\u7a0b\u8dd1\u4e00\u6b21 run_baseline_profile()&#xff0c;\u7136\u540e\u548c\u57fa\u7ebf\u505a\u5bf9\u6bd4\u3002\u4e0b\u9762\u8fd9\u6bb5\u4ee3\u7801\u5b9e\u73b0\u4e86\u4e00\u4e2a\u7b80\u5355\u4f46\u591f\u7528\u7684&#034;\u6539\u8fdb\u5b9e\u9a8c\u8ffd\u8e2a\u5668&#034;&#xff1a;<\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># experiment_tracker.py<\/span><br \/>\n<span class=\"token comment\">#<\/span><br \/>\n<span class=\"token comment\"># \u529f\u80fd&#xff1a;\u7ba1\u7406\u7b2c\u516d\u7ae0\u6240\u6709\u6539\u8fdb\u5b9e\u9a8c\u7684\u8bb0\u5f55&#xff0c;\u81ea\u52a8\u8ba1\u7b97\u76f8\u5bf9\u57fa\u7ebf\u7684\u53d8\u5316\u7387&#xff0c;<\/span><br \/>\n<span class=\"token comment\">#       \u5e76\u751f\u6210\u5bf9\u6bd4\u62a5\u544a<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><\/p>\n<p><span class=\"token keyword\">import<\/span> json<br \/>\n<span class=\"token keyword\">import<\/span> pandas <span class=\"token keyword\">as<\/span> pd<br \/>\n<span class=\"token keyword\">from<\/span> pathlib <span class=\"token keyword\">import<\/span> Path<br \/>\n<span class=\"token keyword\">from<\/span> typing <span class=\"token keyword\">import<\/span> Optional<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">ExperimentTracker<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    \u7b2c\u516d\u7ae0\u6539\u8fdb\u5b9e\u9a8c\u7684\u8f7b\u91cf\u7ea7\u8ffd\u8e2a\u5668\u3002<\/p>\n<p>    \u4f7f\u7528\u65b9\u5f0f&#xff1a;<br \/>\n        tracker &#061; ExperimentTracker(&#039;baseline_exp.json&#039;)<br \/>\n        tracker.add(&#039;EXP-003&#039;, &#039;FasterBlock\u66ff\u6362C2f&#039;, &#039;\u63d0\u901f&#039;, &#039;exp003.json&#039;)<br \/>\n        tracker.summary()<br \/>\n    &#034;&#034;&#034;<\/span><\/p>\n<p>    <span class=\"token comment\"># \u5bf9\u6bd4\u65f6\u5173\u6ce8\u7684\u6838\u5fc3\u6307\u6807\u5217<\/span><br \/>\n    METRIC_COLS <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;mAP50_95&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;params_M&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;flops_G&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;fps&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;peak_mem_mb&#039;<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token comment\"># \u6307\u6807\u8d8a\u9ad8\u8d8a\u597d or \u8d8a\u4f4e\u8d8a\u597d&#xff08;\u7528\u4e8e\u7ed8\u5236\u8d8b\u52bf\u7bad\u5934&#xff09;<\/span><br \/>\n    HIGHER_IS_BETTER <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token string\">&#039;mAP50_95&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;params_M&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span>  <span class=\"token comment\"># \u8d8a\u5c0f\u8d8a\u597d&#xff08;\u8f7b\u91cf\u5316&#xff09;<\/span><br \/>\n        <span class=\"token string\">&#039;flops_G&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span>    <span class=\"token comment\"># \u8d8a\u5c0f\u8d8a\u597d&#xff08;\u63d0\u901f&#xff09;<\/span><br \/>\n        <span class=\"token string\">&#039;fps&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;peak_mem_mb&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">False<\/span>  <span class=\"token comment\"># \u8d8a\u5c0f\u8d8a\u597d<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> baseline_json<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        Args:<br \/>\n            baseline_json: \u7531 run_baseline_profile() \u751f\u6210\u7684\u57fa\u7ebf JSON \u6587\u4ef6\u8def\u5f84<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token keyword\">with<\/span> <span class=\"token builtin\">open<\/span><span class=\"token punctuation\">(<\/span>baseline_json<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;r&#039;<\/span><span class=\"token punctuation\">,<\/span> encoding<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;utf-8&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">as<\/span> f<span class=\"token punctuation\">:<\/span><br \/>\n            baseline_data <span class=\"token operator\">&#061;<\/span> json<span class=\"token punctuation\">.<\/span>load<span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">)<\/span><\/p>\n<p>        self<span class=\"token punctuation\">.<\/span>baseline <span class=\"token operator\">&#061;<\/span> baseline_data<br \/>\n        self<span class=\"token punctuation\">.<\/span>records <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n        <span class=\"token comment\"># \u628a\u57fa\u7ebf\u4f5c\u4e3a\u7b2c 0 \u6761\u8bb0\u5f55<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_add_record<span class=\"token punctuation\">(<\/span><br \/>\n            exp_id<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;EXP-000&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            module_name<span class=\"token operator\">&#061;<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>baseline_data<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;model&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#xff08;\u57fa\u7ebf&#xff09;&#034;<\/span><\/span><span class=\"token punctuation\">,<\/span><br \/>\n            direction<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;\u57fa\u7ebf&#039;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            data<span class=\"token operator\">&#061;<\/span>baseline_data<br \/>\n        <span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">add<\/span><span class=\"token punctuation\">(<\/span><br \/>\n        self<span class=\"token punctuation\">,<\/span><br \/>\n        exp_id<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        module_name<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        direction<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        result_json<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><br \/>\n    <span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        \u6dfb\u52a0\u4e00\u6761\u6539\u8fdb\u5b9e\u9a8c\u8bb0\u5f55\u3002<\/p>\n<p>        Args:<br \/>\n            exp_id:      \u5b9e\u9a8c\u7f16\u53f7&#xff0c;\u5982 &#039;EXP-003&#039;<br \/>\n            module_name: \u6539\u8fdb\u6a21\u5757\u540d\u79f0&#xff0c;\u5982 &#039;FasterBlock\u66ff\u6362C2f&#039;<br \/>\n            direction:   \u6539\u8fdb\u65b9\u5411&#xff0c;&#039;\u6da8\u70b9&#039; \/ &#039;\u63d0\u901f&#039; \/ &#039;\u8f7b\u91cf\u5316&#039; \u4e4b\u4e00<br \/>\n            result_json: \u6539\u8fdb\u540e\u6a21\u578b\u7684 profile JSON \u6587\u4ef6\u8def\u5f84<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token keyword\">with<\/span> <span class=\"token builtin\">open<\/span><span class=\"token punctuation\">(<\/span>result_json<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;r&#039;<\/span><span class=\"token punctuation\">,<\/span> encoding<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;utf-8&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">as<\/span> f<span class=\"token punctuation\">:<\/span><br \/>\n            data <span class=\"token operator\">&#061;<\/span> json<span class=\"token punctuation\">.<\/span>load<span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">)<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_add_record<span class=\"token punctuation\">(<\/span>exp_id<span class=\"token punctuation\">,<\/span> module_name<span class=\"token punctuation\">,<\/span> direction<span class=\"token punctuation\">,<\/span> data<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5df2\u6dfb\u52a0\u5b9e\u9a8c <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>exp_id<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>module_name<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">_add_record<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> exp_id<span class=\"token punctuation\">,<\/span> module_name<span class=\"token punctuation\">,<\/span> direction<span class=\"token punctuation\">,<\/span> data<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        record <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token string\">&#039;exp_id&#039;<\/span><span class=\"token punctuation\">:<\/span> exp_id<span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#039;module&#039;<\/span><span class=\"token punctuation\">:<\/span> module_name<span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#039;direction&#039;<\/span><span class=\"token punctuation\">:<\/span> direction<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> col <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>METRIC_COLS<span class=\"token punctuation\">:<\/span><br \/>\n            record<span class=\"token punctuation\">[<\/span>col<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> data<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>col<span class=\"token punctuation\">)<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>records<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>record<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">summary<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> show_delta<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">bool<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> pd<span class=\"token punctuation\">.<\/span>DataFrame<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        \u751f\u6210\u5b9e\u9a8c\u5bf9\u6bd4\u6c47\u603b\u8868\u3002<\/p>\n<p>        Args:<br \/>\n            show_delta: \u662f\u5426\u663e\u793a\u76f8\u5bf9\u57fa\u7ebf\u7684\u53d8\u5316\u7387\u5217&#xff08;\u767e\u5206\u6bd4&#xff09;<\/p>\n<p>        Returns:<br \/>\n            pandas DataFrame&#xff0c;\u53ef\u76f4\u63a5\u6253\u5370\u6216\u5bfc\u51fa CSV<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        df <span class=\"token operator\">&#061;<\/span> pd<span class=\"token punctuation\">.<\/span>DataFrame<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>records<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> show_delta<span class=\"token punctuation\">:<\/span><br \/>\n            baseline_vals <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                col<span class=\"token punctuation\">:<\/span> self<span class=\"token punctuation\">.<\/span>baseline<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>col<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">for<\/span> col <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>METRIC_COLS<br \/>\n                <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>baseline<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>col<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">for<\/span> col <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>METRIC_COLS<span class=\"token punctuation\">:<\/span><br \/>\n                bval <span class=\"token operator\">&#061;<\/span> baseline_vals<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>col<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> bval <span class=\"token keyword\">and<\/span> bval <span class=\"token operator\">!&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                    delta_col <span class=\"token operator\">&#061;<\/span> <span class=\"token string-interpolation\"><span class=\"token string\">f&#039;\u0394<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>col<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">(%)&#039;<\/span><\/span><br \/>\n                    df<span class=\"token punctuation\">[<\/span>delta_col<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><br \/>\n                        <span class=\"token punctuation\">(<\/span>df<span class=\"token punctuation\">[<\/span>col<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#8211;<\/span> bval<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token builtin\">abs<\/span><span class=\"token punctuation\">(<\/span>bval<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">100<\/span><br \/>\n                    <span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span><span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token comment\"># \u6839\u636e\u6307\u6807\u65b9\u5411\u6dfb\u52a0\u8d8b\u52bf\u7b26\u53f7<\/span><br \/>\n                    better <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>HIGHER_IS_BETTER<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>col<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    df<span class=\"token punctuation\">[<\/span>delta_col<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> df<span class=\"token punctuation\">[<\/span>delta_col<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token builtin\">apply<\/span><span class=\"token punctuation\">(<\/span><br \/>\n                        <span class=\"token keyword\">lambda<\/span> v<span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">(<\/span><br \/>\n                            <span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u25b2<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">abs<\/span><span class=\"token punctuation\">(<\/span>v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.2f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">%&#034;<\/span><\/span><br \/>\n                            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>v <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> better <span class=\"token keyword\">and<\/span> v <span class=\"token operator\">!&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n                            <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u25bc<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">abs<\/span><span class=\"token punctuation\">(<\/span>v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.2f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">%&#034;<\/span><\/span> <span class=\"token keyword\">if<\/span> v <span class=\"token operator\">!&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token string\">&#034;\u2014&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        <span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> v <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token string\">&#034;N\/A&#034;<\/span><br \/>\n                    <span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n&#034;<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;&#061;&#034;<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">80<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;  \u6539\u8fdb\u5b9e\u9a8c\u6c47\u603b\u62a5\u544a&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#034;<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">80<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        display_cols <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><br \/>\n            <span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;exp_id&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;module&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;direction&#039;<\/span><span class=\"token punctuation\">]<\/span><br \/>\n            <span class=\"token operator\">&#043;<\/span> self<span class=\"token punctuation\">.<\/span>METRIC_COLS<br \/>\n            <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#039;\u0394<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>c<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">(%)&#039;<\/span><\/span> <span class=\"token keyword\">for<\/span> c <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>METRIC_COLS<span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">if<\/span> show_delta <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><br \/>\n        display_cols <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>c <span class=\"token keyword\">for<\/span> c <span class=\"token keyword\">in<\/span> display_cols <span class=\"token keyword\">if<\/span> c <span class=\"token keyword\">in<\/span> df<span class=\"token punctuation\">.<\/span>columns<span class=\"token punctuation\">]<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>df<span class=\"token punctuation\">[<\/span>display_cols<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>to_string<span class=\"token punctuation\">(<\/span>index<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#034;<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">80<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;  \u25b2 \u8868\u793a\u8be5\u6307\u6807\u5411\u597d\u7684\u65b9\u5411\u53d8\u5316  \u25bc \u8868\u793a\u5411\u574f\u7684\u65b9\u5411\u53d8\u5316&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#034;<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">80<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;\\\\n&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> df<\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">save_csv<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> path<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;experiments.csv&#039;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u5bfc\u51fa\u5b8c\u6574\u5bf9\u6bd4\u8868\u5230 CSV&#034;&#034;&#034;<\/span><br \/>\n        df <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>summary<span class=\"token punctuation\">(<\/span>show_delta<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        df<span class=\"token punctuation\">.<\/span>to_csv<span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">,<\/span> index<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> encoding<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;utf-8-sig&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5b9e\u9a8c\u8bb0\u5f55\u5df2\u5bfc\u51fa\u81f3 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>path<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u8fd9\u5957\u8ffd\u8e2a\u5668\u7684\u8bbe\u8ba1\u601d\u8def\u662f&#xff1a;\u6bcf\u6b21\u505a\u6539\u8fdb&#xff0c;\u8dd1\u4e00\u6b21 profile&#xff0c;\u751f\u6210 JSON&#xff0c;\u52a0\u5230 tracker \u91cc&#xff0c;\u4e00\u884c tracker.summary() \u5c31\u80fd\u51fa\u6c47\u603b\u62a5\u544a\u3002\u4e0d\u9700\u8981\u624b\u52a8\u7ef4\u62a4 Excel&#xff0c;\u4e0d\u9700\u8981\u8bb0\u5fc6\u4e4b\u524d\u7684\u6570\u5b57&#xff0c;\u6574\u4e2a\u5b9e\u9a8c\u5386\u53f2\u5168\u90e8\u6709\u636e\u53ef\u67e5\u3002<\/p>\n<h2>\u516b\u3001\u4e09\u9879\u5de5\u7a0b\u57fa\u672c\u539f\u5219<\/h2>\n<p>\u5728\u6b63\u5f0f\u8fdb\u5165\u7b2c\u516d\u7ae0\u63a5\u4e0b\u6765\u6bcf\u4e00\u8282\u7684&#034;\u624b\u672f&#034;\u4e4b\u524d&#xff0c;\u6709\u4e09\u6761\u539f\u5219\u6211\u5fc5\u987b\u518d\u5f3a\u8c03\u4e00\u904d&#xff0c;\u56e0\u4e3a\u5b83\u4eec\u88ab\u5ffd\u89c6\u7684\u6982\u7387\u6bd4\u4efb\u4f55\u5177\u4f53\u6280\u672f\u90fd\u9ad8&#xff0c;\u800c\u5ffd\u89c6\u5b83\u4eec\u9020\u6210\u7684\u635f\u5931\u4e5f\u6bd4\u4efb\u4f55\u5177\u4f53\u6280\u672f\u5931\u6548\u90fd\u5927\u3002<\/p>\n<h3>8.1 \u5355\u53d8\u91cf\u539f\u5219&#xff08;Single Variable Principle&#xff09;<\/h3>\n<p>\u6bcf\u4e00\u6b21\u5b9e\u9a8c&#xff0c;\u53ea\u6539\u52a8\u4e00\u4e2a\u53d8\u91cf\u3002<\/p>\n<p>\u8fd9\u6761\u539f\u5219\u8bf4\u8d77\u6765\u7b80\u5355&#xff0c;\u4f46\u5728\u5b9e\u9645\u64cd\u4f5c\u4e2d\u975e\u5e38\u5bb9\u6613\u88ab\u7834\u574f&#xff1a;\u4f60\u60f3\u6d4b\u8bd5 GhostConv \u7684\u6548\u679c&#xff0c;\u7ed3\u679c\u987a\u624b\u628a\u8bad\u7ec3 epoch \u4ece 100 \u6539\u6210\u4e86 150&#xff1b;\u6216\u8005\u4f60\u6362\u4e86\u4e00\u4e2a Neck \u7ed3\u6784&#xff0c;\u540c\u65f6\u4e5f\u8c03\u6574\u4e86\u5b66\u4e60\u7387\u3002\u8fd9\u6837\u4e00\u6765&#xff0c;\u6700\u7ec8\u7cbe\u5ea6\u7684\u53d8\u5316&#xff0c;\u4f60\u6839\u672c\u8bf4\u4e0d\u6e05\u662f\u54ea\u4e2a\u56e0\u7d20\u9020\u6210\u7684\u3002<\/p>\n<p>\u6d88\u878d\u5b9e\u9a8c&#xff08;Ablation Study&#xff09;\u7684\u57fa\u7840\u5c31\u662f\u5355\u53d8\u91cf\u539f\u5219\u3002\u6ca1\u6709\u624e\u5b9e\u7684\u6d88\u878d\u5b9e\u9a8c&#xff0c;\u4f60\u7684\u6539\u8fdb\u62a5\u544a\u5c31\u53ea\u662f&#034;\u8fd0\u6c14\u7684\u7ed3\u679c&#034;&#xff0c;\u800c\u4e0d\u662f&#034;\u65b9\u6cd5\u8bba\u7684\u4ea7\u7269&#034;\u3002<\/p>\n<h3>8.2 \u57fa\u7ebf\u5bf9\u6bd4\u539f\u5219&#xff08;Baseline Reference Principle&#xff09;<\/h3>\n<p>\u6c38\u8fdc\u4fdd\u7559\u4e00\u4efd\u672a\u6539\u52a8\u7684\u57fa\u7ebf\u6a21\u578b\u548c\u57fa\u7ebf\u5b9e\u9a8c\u6570\u636e&#xff0c;\u4f5c\u4e3a\u6240\u6709\u6539\u8fdb\u7684&#034;\u951a\u70b9&#034;\u3002<\/p>\n<p>\u8fd9\u6761\u539f\u5219\u770b\u4f3c\u5e9f\u8bdd&#xff0c;\u4f46\u6211\u89c1\u8fc7\u592a\u591a\u540c\u5b66\u5728\u505a\u4e86\u4e03\u516b\u6b21\u6539\u8fdb\u4e4b\u540e&#xff0c;\u5df2\u7ecf\u627e\u4e0d\u5230\u5f53\u521d\u7684&#034;\u539f\u59cb\u57fa\u7ebf&#034;\u4e86\u2014\u2014\u56e0\u4e3a\u4ed6\u4eec\u6bcf\u6b21\u90fd\u628a\u4e0a\u4e00\u6b21\u7684\u6539\u52a8\u5f53\u505a&#034;\u65b0\u7684\u57fa\u7ebf&#034;\u7ee7\u7eed\u6539&#xff0c;\u6700\u7ec8\u5b8c\u5168\u5931\u53bb\u4e86\u548c&#034;\u4ec0\u4e48\u90fd\u6ca1\u6539&#034;\u7684\u6a21\u578b\u7684\u53ef\u6bd4\u8f83\u6027\u3002<\/p>\n<p>\u6b63\u786e\u7684\u505a\u6cd5\u662f&#xff1a;\u57fa\u7ebf\u6a21\u578b\u6c38\u8fdc\u4e0d\u6539&#xff0c;\u6bcf\u4e00\u6b21\u5b9e\u9a8c\u90fd\u662f&#034;\u5728\u57fa\u7ebf\u7684\u526f\u672c\u4e0a\u505a\u5355\u4e00\u6539\u52a8&#034;&#xff0c;\u6539\u5b8c\u4e4b\u540e profile&#xff0c;\u8bb0\u5f55\u5230 tracker&#xff0c;\u7136\u540e\u56de\u5230\u5e72\u51c0\u7684\u57fa\u7ebf\u51c6\u5907\u4e0b\u4e00\u6b21\u5b9e\u9a8c\u3002<\/p>\n<h3>8.3 \u53ef\u590d\u73b0\u6027\u539f\u5219&#xff08;Reproducibility Principle&#xff09;<\/h3>\n<p>\u56fa\u5b9a\u968f\u673a\u79cd\u5b50&#xff0c;\u8bb0\u5f55\u5b8c\u6574\u7684\u5b9e\u9a8c\u914d\u7f6e&#xff08;\u5305\u62ec\u73af\u5883\u7248\u672c&#xff09;&#xff0c;\u6240\u6709\u5b9e\u9a8c\u7ed3\u679c\u914d\u5408\u4ee3\u7801\u4e00\u8d77\u5f52\u6863\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48\u8fd9\u6761\u5f88\u91cd\u8981&#xff1f;\u6709\u4e24\u4e2a\u5178\u578b\u573a\u666f&#xff1a;<\/p>\n<p>\u573a\u666f\u4e00&#xff1a;\u4f60\u505a\u4e86\u4e00\u6b21\u6539\u8fdb&#xff0c;mAP \u6da8\u4e86 0.8%&#xff0c;\u4f46\u56e0\u4e3a\u6ca1\u6709\u56fa\u5b9a\u968f\u673a\u79cd\u5b50&#xff0c;\u4e0b\u6b21\u91cd\u8dd1\u7ed3\u679c\u53d8\u6210\u6da8\u4e86 0.2%&#xff0c;\u5b8c\u5168\u4e0d\u7a33\u5b9a\u3002\u8fd9\u65f6\u5019\u4f60\u5c31\u4e0d\u77e5\u9053\u8fd9 0.8% \u662f\u771f\u5b9e\u7684\u6539\u8fdb\u6548\u76ca&#xff0c;\u8fd8\u662f\u968f\u673a\u79cd\u5b50\u5e26\u6765\u7684&#034;\u8fd0\u6c14&#034;\u3002<\/p>\n<p>\u573a\u666f\u4e8c&#xff1a;\u4e09\u4e2a\u6708\u540e\u4f60\u60f3\u590d\u73b0\u67d0\u6b21\u5b9e\u9a8c&#xff0c;\u7ed3\u679c\u53d1\u73b0 Ultralytics \u7248\u672c\u5df2\u7ecf\u66f4\u65b0\u4e86&#xff0c;\u6a21\u578b\u52a0\u8f7d\u65b9\u5f0f\u53d8\u4e86&#xff0c;\u4e4b\u524d\u7684\u4ee3\u7801\u76f4\u63a5\u62a5\u9519\u3002\u6ca1\u6709\u5b8c\u6574\u8bb0\u5f55\u73af\u5883\u914d\u7f6e&#xff0c;\u590d\u73b0\u6210\u672c\u6781\u9ad8\u3002<\/p>\n<p>\u6700\u7b80\u5355\u7684\u53ef\u590d\u73b0\u6027\u4fdd\u969c&#xff0c;\u5c31\u662f\u5728\u6bcf\u6b21\u5b9e\u9a8c\u5f00\u59cb\u65f6\u52a0\u4e0a\u8fd9\u51e0\u884c&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> random<br \/>\n<span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np<br \/>\n<span class=\"token keyword\">import<\/span> torch<\/p>\n<p>SEED <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">42<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">set_seed<\/span><span class=\"token punctuation\">(<\/span>seed<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token operator\">&#061;<\/span> SEED<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u56fa\u5b9a\u6240\u6709\u53ef\u80fd\u5f71\u54cd\u7ed3\u679c\u7684\u968f\u673a\u79cd\u5b50&#034;&#034;&#034;<\/span><br \/>\n    random<span class=\"token punctuation\">.<\/span>seed<span class=\"token punctuation\">(<\/span>seed<span class=\"token punctuation\">)<\/span><br \/>\n    np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>seed<span class=\"token punctuation\">(<\/span>seed<span class=\"token punctuation\">)<\/span><br \/>\n    torch<span class=\"token punctuation\">.<\/span>manual_seed<span class=\"token punctuation\">(<\/span>seed<span class=\"token punctuation\">)<\/span><br \/>\n    torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>manual_seed_all<span class=\"token punctuation\">(<\/span>seed<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token comment\"># \u5173\u95ed CUDNN \u7684\u968f\u673a\u4f18\u5316&#xff08;\u4f1a\u727a\u7272\u5c11\u91cf\u901f\u5ea6&#xff0c;\u4f46\u786e\u4fdd\u7ed3\u679c\u53ef\u590d\u73b0&#xff09;<\/span><br \/>\n    torch<span class=\"token punctuation\">.<\/span>backends<span class=\"token punctuation\">.<\/span>cudnn<span class=\"token punctuation\">.<\/span>deterministic <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><br \/>\n    torch<span class=\"token punctuation\">.<\/span>backends<span class=\"token punctuation\">.<\/span>cudnn<span class=\"token punctuation\">.<\/span>benchmark <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><\/p>\n<p>set_seed<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5e76\u628a\u5b9e\u9a8c\u914d\u7f6e&#xff08;\u5305\u62ec Ultralytics \u7248\u672c\u3001CUDA \u7248\u672c\u3001Python \u7248\u672c\u3001\u5173\u952e\u8d85\u53c2\u6570&#xff09;\u4e00\u8d77\u5b58\u5230 JSON \u91cc&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> platform<br \/>\n<span class=\"token keyword\">import<\/span> subprocess<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">get_env_info<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u6536\u96c6\u5f53\u524d\u73af\u5883\u4fe1\u606f&#xff0c;\u7528\u4e8e\u5b9e\u9a8c\u5f52\u6863&#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token keyword\">try<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        torch_version <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>__version__<br \/>\n        cuda_version <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>version<span class=\"token punctuation\">.<\/span>cuda <span class=\"token keyword\">or<\/span> <span class=\"token string\">&#039;N\/A&#039;<\/span><br \/>\n        <span class=\"token comment\"># \u83b7\u53d6 ultralytics \u7248\u672c<\/span><br \/>\n        result <span class=\"token operator\">&#061;<\/span> subprocess<span class=\"token punctuation\">.<\/span>run<span class=\"token punctuation\">(<\/span><br \/>\n            <span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;pip&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;show&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;ultralytics&#039;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            capture_output<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span> text<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><br \/>\n        ul_version <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;unknown&#039;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> line <span class=\"token keyword\">in<\/span> result<span class=\"token punctuation\">.<\/span>stdout<span class=\"token punctuation\">.<\/span>split<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\\\\n&#039;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> line<span class=\"token punctuation\">.<\/span>startswith<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;Version:&#039;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                ul_version <span class=\"token operator\">&#061;<\/span> line<span class=\"token punctuation\">.<\/span>split<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;:&#039;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>strip<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">break<\/span><br \/>\n    <span class=\"token keyword\">except<\/span> Exception<span class=\"token punctuation\">:<\/span><br \/>\n        torch_version <span class=\"token operator\">&#061;<\/span> cuda_version <span class=\"token operator\">&#061;<\/span> ul_version <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#039;unknown&#039;<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token string\">&#039;python&#039;<\/span><span class=\"token punctuation\">:<\/span> platform<span class=\"token punctuation\">.<\/span>python_version<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;os&#039;<\/span><span class=\"token punctuation\">:<\/span> platform<span class=\"token punctuation\">.<\/span>system<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;torch&#039;<\/span><span class=\"token punctuation\">:<\/span> torch_version<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;cuda&#039;<\/span><span class=\"token punctuation\">:<\/span> cuda_version<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;ultralytics&#039;<\/span><span class=\"token punctuation\">:<\/span> ul_version<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token string\">&#039;seed&#039;<\/span><span class=\"token punctuation\">:<\/span> SEED<span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<h2>\u4e5d\u3001\u7b2c\u516d\u7ae0\u5168\u666f\u5730\u56fe&#xff1a;29 \u8282\u6539\u8fdb\u5de5\u5177\u7bb1\u7684\u6574\u4f53\u5e03\u5c40<\/h2>\n<p>\u628a\u4e09\u5927\u6539\u8fdb\u65b9\u5411\u548c YOLOv10 \u7f51\u7edc\u7ed3\u6784\u7684\u56db\u4e2a\u5c42\u6b21&#xff08;Backbone\u3001Neck\u3001Head\u3001Loss&#xff09;\u5bf9\u5e94\u8d77\u6765&#xff0c;\u7b2c\u516d\u7ae0\u63a5\u4e0b\u6765\u7684 29 \u8282\u5927\u81f4\u7684\u5206\u5e03\u662f\u8fd9\u6837\u7684&#xff1a;<\/p>\n<table>\n<tr>\u8282\u6b21\u8303\u56f4\u5185\u5bb9\u6539\u8fdb\u65b9\u5411\u4f5c\u7528\u4f4d\u7f6e<\/tr>\n<tbody>\n<tr>\n<td>\u7b2c2\u8282<\/td>\n<td>yaml \u914d\u7f6e\u4e0e\u6a21\u5757\u6ce8\u518c\u5de5\u7a0b\u65b9\u6cd5<\/td>\n<td>\u57fa\u7840\u5de5\u5177<\/td>\n<td>\u5168\u5c40<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c3-6\u8282<\/td>\n<td>FasterBlock\u3001GhostConv\u3001DWConv\u3001DynamicConv<\/td>\n<td>\u63d0\u901f \/ \u8f7b\u91cf\u5316<\/td>\n<td>Backbone<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c7-9\u8282<\/td>\n<td>DCNv3\/v4\u3001\u7a7a\u6d1e\u5377\u79ef\u3001WTConv\u5c0f\u6ce2\u5377\u79ef<\/td>\n<td>\u6da8\u70b9&#xff08;\u611f\u53d7\u91ce&#xff09;<\/td>\n<td>Backbone<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c10\u8282<\/td>\n<td>RepVGG \u91cd\u53c2\u6570\u5316<\/td>\n<td>\u63d0\u901f &#043; \u6da8\u70b9<\/td>\n<td>Backbone<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c11-14\u8282<\/td>\n<td>ConvNeXt\u3001EfficientNet\u3001MobileNetV3\u3001ShuffleNetV2<\/td>\n<td>\u8f7b\u91cf\u5316<\/td>\n<td>\u9aa8\u5e72\u6574\u4f53\u66ff\u6362<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c15-20\u8282<\/td>\n<td>SENet\u3001CBAM\u3001Coordinate Attention\u3001ECA-Net\u3001GAM\u3001SimAM<\/td>\n<td>\u6da8\u70b9&#xff08;\u6ce8\u610f\u529b&#xff09;<\/td>\n<td>\u5168\u5c40\u53ef\u5d4c\u5165<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c21-23\u8282<\/td>\n<td>BiFPN\u3001AFPN\u3001P2 \u5c0f\u76ee\u6807\u5c42<\/td>\n<td>\u6da8\u70b9&#xff08;\u7279\u5f81\u878d\u5408&#xff09;<\/td>\n<td>Neck<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c24-26\u8282<\/td>\n<td>\u4e00\u5bf9\u4e00\/\u4e00\u5bf9\u591a Head\u3001Dynamic Head\u3001PSA \u5c40\u90e8\u81ea\u6ce8\u610f\u529b<\/td>\n<td>\u6da8\u70b9&#xff08;\u68c0\u6d4b\u5934&#xff09;<\/td>\n<td>Head<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c27-29\u8282<\/td>\n<td>SIoU\/EIoU\/WIoU\u3001Focal\/Varifocal Loss\u3001NWD \u635f\u5931<\/td>\n<td>\u6da8\u70b9&#xff08;\u635f\u5931&#xff09;<\/td>\n<td>Loss<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c30\u8282<\/td>\n<td>\u7efc\u5408\u8bc4\u4f30\u4e0e\u6700\u4f18\u7ec4\u5408\u63a8\u8350<\/td>\n<td>\u7efc\u5408<\/td>\n<td>\u5168\u5c40<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u8fd9\u5f20\u5730\u56fe\u6709\u4e24\u4e2a\u5efa\u8bae\u7684&#034;\u4f7f\u7528\u65b9\u5f0f&#034;&#xff1a;<\/p>\n<p>\u65b9\u5f0f\u4e00&#xff1a;\u6309\u9700\u67e5\u9605\u3002\u5982\u679c\u4f60\u7684\u573a\u666f\u662f&#034;\u5c0f\u76ee\u6807\u7cbe\u5ea6\u4e0d\u8db3&#034;&#xff0c;\u4f18\u5148\u7cbe\u8bfb\u7b2c 15-17 \u8282&#xff08;\u6ce8\u610f\u529b\u673a\u5236&#xff09;\u3001\u7b2c 21-23 \u8282&#xff08;Neck \u6539\u8fdb&#xff09;\u3001\u7b2c 27-29 \u8282&#xff08;\u635f\u5931\u51fd\u6570&#xff09;&#xff0c;\u5176\u4ed6\u8282\u6b21\u53ef\u4ee5\u5148\u4e86\u89e3\u7ed3\u8bba\u3001\u63a8\u8fdf\u7cbe\u8bfb\u3002<\/p>\n<p>\u65b9\u5f0f\u4e8c&#xff1a;\u987a\u5e8f\u5b66\u4e60\u3002\u5982\u679c\u4f60\u5e0c\u671b\u7cfb\u7edf\u6027\u5730\u638c\u63e1 YOLOv10 \u6539\u8fdb\u7684\u5168\u8c8c&#xff0c;\u5efa\u8bae\u6309\u8282\u6b21\u987a\u5e8f\u5b66\u4e60\u3002\u7b2c 2 \u8282\u7684\u5de5\u7a0b\u57fa\u7840\u975e\u5e38\u91cd\u8981&#xff0c;\u662f\u540e\u7eed\u6240\u6709\u8282\u6b21\u7684&#034;\u811a\u624b\u67b6&#034;&#xff0c;\u4e0d\u80fd\u8df3\u8fc7\u3002<\/p>\n<h2>\u5341\u3001\u771f\u5b9e\u573a\u666f\u7684\u6539\u8fdb\u51b3\u7b56\u6f14\u7ec3<\/h2>\n<h3>\u6848\u4f8b\u4e00&#xff1a;\u5de5\u4e1a PCB \u7f3a\u9677\u68c0\u6d4b&#xff08;\u7cbe\u5ea6\u4f18\u5148&#xff09;<\/h3>\n<p>\u573a\u666f&#xff1a;\u7535\u5b50\u5236\u9020\u4ea7\u7ebf&#xff0c;\u68c0\u6d4b PCB \u677f\u4e0a\u7684\u5fae\u5c0f\u710a\u70b9\u7f3a\u9677&#xff08;\u76ee\u6807\u8fb9\u957f\u901a\u5e38 8-20 \u50cf\u7d20&#xff09;&#xff0c;\u90e8\u7f72\u5728\u4ea7\u7ebf\u65c1\u7684\u5de5\u63a7\u673a&#xff08;GTX 1660 SUPER&#xff09;&#xff0c;\u8282\u62cd 2 \u79d2\/\u5f20&#xff0c;FPS &gt; 10 \u5373\u53ef&#xff0c;\u5ba2\u6237\u7684\u6838\u5fc3\u8bc9\u6c42\u662f&#034;\u4e0d\u6f0f\u68c0&#034;&#xff08;Recall \u8981\u9ad8&#xff09;\u3002<\/p>\n<p>\u51b3\u7b56\u8fc7\u7a0b&#xff1a;<\/p>\n<ul>\n<li>\u786c\u4ef6\u7ea6\u675f&#xff1a;GTX 1660 SUPER&#xff0c;\u663e\u5b58 6GB&#xff0c;FLOPs &lt; 30G \u5747\u53ef\u63a5\u53d7 \u2713<\/li>\n<li>\u5b9e\u65f6\u6027&#xff1a;FPS &gt; 10&#xff0c;\u5f53\u524d\u57fa\u7ebf 168FPS&#xff0c;\u8fdc\u8d85\u8981\u6c42 \u2713<\/li>\n<li>\u7cbe\u5ea6\u77ed\u677f&#xff1a;\u5c0f\u76ee\u6807&#xff08;8-20 \u50cf\u7d20&#xff09;\u4e25\u91cd\u6f0f\u68c0&#xff0c;Recall \u504f\u4f4e<\/li>\n<\/ul>\n<p>\u9009\u62e9\u8def\u7ebf&#xff1a;\u6da8\u70b9\u4f18\u5148&#xff0c;\u91cd\u70b9\u89e3\u51b3\u5c0f\u76ee\u6807\u53ec\u56de\u7387<\/p>\n<p>\u6539\u8fdb\u65b9\u6848&#xff08;\u6309\u4f18\u5148\u7ea7&#xff09;&#xff1a;<\/p>\n<li>\u589e\u52a0 P2 \u68c0\u6d4b\u5c42&#xff08;\u7b2c23\u8282&#xff09;\u2014\u2014\u76f4\u63a5\u5728\u66f4\u9ad8\u5206\u8fa8\u7387\u7684\u7279\u5f81\u56fe\u4e0a\u5e03\u7f6e\u68c0\u6d4b\u5934&#xff0c;\u5c0f\u76ee\u6807\u6709\u66f4\u591a\u7279\u5f81\u70b9<\/li>\n<li>NWD \u635f\u5931&#xff08;\u7b2c29\u8282&#xff09;\u2014\u2014\u89e3\u51b3\u5c0f\u76ee\u6807\u8fb9\u754c\u6846\u68af\u5ea6\u4e0d\u7a33\u5b9a\u95ee\u9898<\/li>\n<li>Coordinate Attention&#xff08;\u7b2c17\u8282&#xff09;\u2014\u2014\u5e2e\u52a9\u6a21\u578b\u611f\u77e5\u76ee\u6807\u7684\u7cbe\u786e\u4f4d\u7f6e<\/li>\n<li>\u5982\u679c\u524d\u4e09\u6b65\u4e4b\u540e\u7cbe\u5ea6\u8fd8\u4e0d\u591f&#xff0c;\u518d\u8003\u8651 BiFPN&#xff08;\u7b2c21\u8282&#xff09;<\/li>\n<p>\u9884\u671f\u6536\u76ca&#xff1a;\u5c0f\u76ee\u6807 AP \u63d0\u5347 5%-10%&#xff0c;\u6574\u4f53 mAP50-95 \u63d0\u5347 2%-4%&#xff0c;FPS \u4ece 168 \u964d\u81f3\u7ea6 120&#xff08;\u56e0\u4e3a P2 \u5c42\u7684\u8ba1\u7b97\u91cf&#xff09;&#xff0c;\u4f46\u4ecd\u8fdc\u8d85 FPS &gt; 10 \u7684\u8981\u6c42\u3002<\/p>\n<h3>\u6848\u4f8b\u4e8c&#xff1a;\u667a\u6167\u57ce\u5e02\u591a\u8def\u6444\u50cf\u5934\u5e76\u53d1\u63a8\u7406&#xff08;\u63d0\u901f\u4f18\u5148&#xff09;<\/h3>\n<p>\u573a\u666f&#xff1a;\u57ce\u5e02\u8def\u53e3\u5b89\u9632&#xff0c;\u5355\u670d\u52a1\u5668\u6302\u8f7d 32 \u8def\u6444\u50cf\u5934&#xff08;720P&#xff0c;25fps&#xff09;&#xff0c;\u8981\u6c42\u6240\u6709\u8def\u7684\u89c6\u9891\u90fd\u80fd\u5b9e\u65f6\u5904\u7406&#xff0c;\u5355\u8def\u5ef6\u8fdf &lt; 35ms&#xff08;25fps \u7684\u5e27\u95f4\u9694\u662f 40ms&#xff0c;\u7559 5ms \u4f59\u91cf&#xff09;&#xff0c;\u90e8\u7f72\u5728 RTX 3080&#xff08;\u663e\u5b58 10GB&#xff09;\u3002<\/p>\n<p>\u51b3\u7b56\u8fc7\u7a0b&#xff1a;<\/p>\n<ul>\n<li>\u786c\u4ef6&#xff1a;RTX 3080&#xff0c;\u7b97\u529b\u5145\u8db3&#xff0c;\u4f46 32 \u8def\u5e76\u53d1\u5bf9\u5355\u6a21\u578b\u7684\u541e\u5410\u91cf\u8981\u6c42\u6781\u9ad8<\/li>\n<li>\u5b9e\u65f6\u6027&#xff1a;35ms\/\u5e27&#xff0c;32 \u8def &#061; 800 \u5e27\/\u79d2\u7684\u6574\u4f53\u541e\u5410\u91cf\u9700\u6c42 \u2190 \u8fd9\u662f\u6838\u5fc3\u7ea6\u675f<\/li>\n<li>\u7cbe\u5ea6&#xff1a;\u5ba2\u6237\u8981\u6c42\u884c\u4eba\u68c0\u6d4b AP &gt; 0.6&#xff0c;\u5f53\u524d\u57fa\u7ebf\u6ee1\u8db3<\/li>\n<\/ul>\n<p>\u9009\u62e9\u8def\u7ebf&#xff1a;\u63d0\u901f\u4f18\u5148&#xff0c;\u540c\u65f6\u63a7\u5236\u7cbe\u5ea6\u4e0d\u8981\u660e\u663e\u4e0b\u964d<\/p>\n<p>\u6539\u8fdb\u65b9\u6848&#xff1a;<\/p>\n<li>RepVGG \u91cd\u53c2\u6570\u5316&#xff08;\u7b2c10\u8282&#xff09;\u2014\u2014\u8bad\u7ec3\u65f6\u591a\u5206\u652f&#xff0c;\u63a8\u7406\u65f6\u5355\u5206\u652f&#xff0c;\u51e0\u4e4e\u96f6\u7cbe\u5ea6\u635f\u5931\u7684\u63d0\u901f<\/li>\n<li>FasterBlock \u66ff\u6362 Backbone \u4e2d\u7684\u90e8\u5206 C2f&#xff08;\u7b2c3\u8282&#xff09;\u2014\u2014\u964d\u4f4e FLOPs&#xff0c;\u63d0\u5347\u5b9e\u9645 FPS<\/li>\n<li>Head \u7ed3\u6784\u7cbe\u7b80&#xff08;\u7b2c24\u8282&#xff09;\u2014\u2014YOLOv10 \u7684\u4e00\u5bf9\u4e00 Head \u672c\u8eab\u5df2\u7ecf NMS-free&#xff0c;\u53ef\u4ee5\u8fdb\u4e00\u6b65\u7cbe\u7b80\u89e3\u7801\u90e8\u5206<\/li>\n<p>\u9884\u671f\u6536\u76ca&#xff1a;FPS \u4ece 168 \u63d0\u5347\u81f3 220-250&#xff0c;FLOPs \u4e0b\u964d 20%-30%&#xff0c;mAP \u7cbe\u5ea6\u635f\u5931 &lt; 1%&#xff0c;\u6ee1\u8db3 32 \u8def\u5e76\u53d1\u9700\u6c42\u3002<\/p>\n<h3>\u6848\u4f8b\u4e09&#xff1a;\u65e0\u4eba\u673a\u822a\u62cd\u76ee\u6807\u68c0\u6d4b&#xff08;\u8f7b\u91cf\u5316\u4f18\u5148&#xff09;<\/h3>\n<p>\u573a\u666f&#xff1a;\u7535\u529b\u5de1\u68c0\u65e0\u4eba\u673a&#xff0c;\u673a\u8f7d\u7b97\u529b\u6a21\u5757\u4e3a\u67d0\u4f4e\u529f\u8017 AI \u82af\u7247&#xff08;\u5cf0\u503c\u7b97\u529b 2 TOPS INT8&#xff09;&#xff0c;\u8981\u6c42\u6a21\u578b INT8 FLOPs&#xff08;\u7b49\u6548 FP32 FLOPs&#xff09;&lt; 3G&#xff0c;\u53c2\u6570\u91cf &lt; 5M&#xff0c;\u68c0\u6d4b\u8f93\u7535\u7ebf\u5854\u4e0a\u7684\u5f02\u7269\u3002<\/p>\n<p>\u51b3\u7b56\u8fc7\u7a0b&#xff1a;<\/p>\n<ul>\n<li>\u786c\u4ef6&#xff1a;2 TOPS AI \u82af\u7247&#xff0c;FLOPs &lt; 3G&#xff08;\u6781\u4e25\u82db\u7ea6\u675f&#xff09;\u2190 \u8f7b\u91cf\u5316\u662f\u751f\u6b7b\u7ebf<\/li>\n<li>\u5f53\u524d\u57fa\u7ebf&#xff08;YOLOv10n&#xff09;&#xff1a;FLOPs \u2248 6.7G&#xff0c;\u8d85\u51fa\u7ea6\u675f 1 \u500d&#xff0c;\u5fc5\u987b\u5148\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898<\/li>\n<li>\u7cbe\u5ea6&#xff1a;\u5f02\u7269\u68c0\u6d4b\u5bf9\u7cbe\u5ea6\u6709\u8981\u6c42&#xff0c;\u4f46\u9996\u5148\u5f97&#034;\u8dd1\u8d77\u6765&#034;<\/li>\n<\/ul>\n<p>\u9009\u62e9\u8def\u7ebf&#xff1a;\u8f7b\u91cf\u5316\u4f18\u5148&#xff0c;\u5728\u6ee1\u8db3\u7ea6\u675f\u540e\u5c3d\u53ef\u80fd\u4fdd\u4f4f\u7cbe\u5ea6<\/p>\n<p>\u6539\u8fdb\u65b9\u6848&#xff1a;<\/p>\n<li>\u66ff\u6362\u4e3a ShuffleNetV2 \u9aa8\u5e72&#xff08;\u7b2c14\u8282&#xff09;\u2014\u2014\u53c2\u6570\u91cf\u964d\u81f3\u7ea6 1.5M&#xff0c;FLOPs \u964d\u81f3\u7ea6 2.5G<\/li>\n<li>GhostConv \u66ff\u6362 Neck \u4e2d\u7684\u5377\u79ef&#xff08;\u7b2c4\u8282&#xff09;\u2014\u2014\u8fdb\u4e00\u6b65\u538b\u7f29 Neck \u90e8\u5206\u7684\u8ba1\u7b97\u91cf<\/li>\n<li>SimAM \u65e0\u53c2\u6570\u6ce8\u610f\u529b&#xff08;\u7b2c20\u8282&#xff09;\u2014\u2014\u96f6\u53c2\u6570\u4ee3\u4ef7&#xff0c;\u5c1d\u8bd5&#034;\u627e\u8865&#034;\u88ab\u8f7b\u91cf\u5316\u635f\u5931\u7684\u7cbe\u5ea6<\/li>\n<p>\u8fd9\u5957\u65b9\u6848\u4f30\u8ba1\u80fd\u628a\u6574\u4f53 FLOPs \u538b\u5230 2.0-2.5G&#xff0c;Params \u964d\u81f3 2-3M&#xff0c;\u6ee1\u8db3\u786c\u4ef6\u7ea6\u675f&#xff0c;mAP \u9884\u8ba1\u4e0b\u964d 4%-7%&#xff0c;\u4f46\u8fd9\u662f\u5728\u786c\u7ea6\u675f\u4e0b\u7684&#034;\u6700\u4f18\u89e3&#034;&#xff0c;\u800c\u4e0d\u662f&#034;\u7406\u60f3\u89e3&#034;\u3002<\/p>\n<h2>\u5341\u4e00\u3001\u5e38\u89c1\u8bef\u533a\u4e0e\u907f\u5751\u6307\u5357<\/h2>\n<p>\u505a\u4e86\u8fd9\u4e48\u591a\u6539\u8fdb\u5b9e\u9a8c&#xff0c;\u4e5f\u89c1\u8fc7\u5f88\u591a\u540c\u5b66\u8e29\u5751&#xff0c;\u5728\u8fd9\u91cc\u96c6\u4e2d\u68b3\u7406\u51e0\u4e2a\u6700\u5e38\u89c1\u7684\u8bef\u533a&#xff1a;<\/p>\n<p>\u8bef\u533a\u4e00&#xff1a;\u201c\u8bba\u6587\u91cc\u6da8\u4e86 2%&#xff0c;\u6211\u7684\u6570\u636e\u96c6\u4e0a\u5e94\u8be5\u4e5f\u80fd\u6da8 2%\u201d<\/p>\n<p>\u8fd9\u662f\u6700\u5927\u7684\u8ba4\u77e5\u504f\u5dee\u3002\u8bba\u6587\u91cc\u7684\u7ed3\u679c\u901a\u5e38\u662f\u5728 COCO\u3001ImageNet \u7b49\u6807\u51c6\u6570\u636e\u96c6\u4e0a&#xff0c;\u7528\u7279\u5b9a\u7684\u8bad\u7ec3\u7b56\u7565\u3001\u7279\u5b9a\u7684\u786c\u4ef6\u3001\u7279\u5b9a\u7684\u6570\u636e\u589e\u5f3a\u7ec4\u5408\u8dd1\u51fa\u6765\u7684\u3002\u4f60\u7684\u81ea\u5b9a\u4e49\u6570\u636e\u96c6&#xff0c;\u6837\u672c\u5206\u5e03\u3001\u7c7b\u522b\u7279\u6027\u3001\u6807\u6ce8\u8d28\u91cf\u90fd\u4e0d\u540c&#xff0c;\u76f4\u63a5\u5957\u7528\u8bba\u6587\u91cc\u7684\u6570\u5b57\u662f\u4e0d\u9760\u8c31\u7684\u3002\u552f\u4e00\u53ef\u4fe1\u7684&#xff0c;\u662f\u4f60\u5728\u81ea\u5df1\u7684\u6570\u636e\u96c6\u4e0a\u5b9e\u6d4b\u51fa\u6765\u7684\u6570\u5b57\u3002<\/p>\n<p>\u8bef\u533a\u4e8c&#xff1a;\u201c\u53c2\u6570\u91cf\u5c11\u4e86&#xff0c;\u6a21\u578b\u5e94\u8be5\u66f4\u5feb\u201d<\/p>\n<p>\u5982\u524d\u6240\u8ff0&#xff0c;FLOPs \u548c\u53c2\u6570\u91cf\u90fd\u4e0d\u7b49\u4e8e\u5b9e\u9645\u5ef6\u8fdf\u3002\u5fc5\u987b\u5728\u76ee\u6807\u786c\u4ef6\u4e0a\u5b9e\u6d4b\u3002<\/p>\n<p>\u8bef\u533a\u4e09&#xff1a;\u201c\u52a0\u66f4\u591a\u6ce8\u610f\u529b\u6a21\u5757&#xff0c;\u7cbe\u5ea6\u4e00\u5b9a\u66f4\u9ad8\u201d<\/p>\n<p>\u6ce8\u610f\u529b\u6a21\u5757\u662f\u6709&#034;\u8fb9\u9645\u9012\u51cf&#034;\u6548\u5e94\u7684\u2014\u2014\u7b2c\u4e00\u4e2a SE \u6a21\u5757\u53ef\u80fd\u5e26\u6765 0.5% \u7684\u6da8\u70b9&#xff0c;\u53e0\u52a0\u7b2c\u4e8c\u4e2a SE \u53ef\u80fd\u53ea\u6709 0.1%&#xff0c;\u53e0\u52a0\u7b2c\u4e09\u4e2a SE \u53ef\u80fd\u53cd\u800c\u56e0\u4e3a\u8fc7\u62df\u5408\u6216\u68af\u5ea6\u5e72\u6270\u800c\u6389\u70b9\u3002\u4e0d\u662f\u8d8a\u591a\u8d8a\u597d&#xff0c;\u800c\u662f&#034;\u591f\u7528\u5c31\u597d&#034;\u3002<\/p>\n<p>\u8bef\u533a\u56db&#xff1a;\u201c\u6539\u8fdb\u524d\u540e\u5bf9\u6bd4\u65f6&#xff0c;\u6ca1\u6709\u63a7\u5236\u8bad\u7ec3\u8d85\u53c2\u6570\u4e00\u81f4\u201d<\/p>\n<p>\u5982\u679c\u57fa\u7ebf\u7528\u4e86 100 epoch&#xff0c;\u6539\u8fdb\u6a21\u578b\u7528\u4e86 200 epoch&#xff0c;\u90a3\u7cbe\u5ea6\u7684\u63d0\u5347\u53ef\u80fd\u5927\u90e8\u5206\u6765\u81ea\u8bad\u7ec3\u65f6\u95f4\u7684\u589e\u52a0&#xff0c;\u800c\u4e0d\u662f\u7ed3\u6784\u6539\u8fdb\u3002\u5bf9\u6bd4\u5fc5\u987b\u516c\u5e73&#xff1a;\u76f8\u540c epoch \u6570\u3001\u76f8\u540c\u5b66\u4e60\u7387\u7b56\u7565\u3001\u76f8\u540c\u6570\u636e\u589e\u5f3a\u3001\u76f8\u540c\u968f\u673a\u79cd\u5b50\u3002<\/p>\n<p>\u8bef\u533a\u4e94&#xff1a;\u201c\u53ea\u770b mAP&#xff0c;\u4e0d\u770b Recall\u201d<\/p>\n<p>\u5bf9\u4e8e\u5f88\u591a\u5de5\u4e1a\u68c0\u6d4b\u573a\u666f&#xff0c;\u6f0f\u68c0\u7684\u4ee3\u4ef7\u8fdc\u5927\u4e8e\u8bef\u68c0\u3002\u4e00\u4e2a mAP \u5f88\u9ad8\u4f46 Recall \u5f88\u4f4e\u7684\u6a21\u578b&#xff0c;\u5728&#034;\u4e0d\u6f0f\u68c0&#034;\u7684\u4e1a\u52a1\u573a\u666f\u91cc\u662f\u4e0d\u5408\u683c\u7684\u3002\u8bc4\u4f30\u65f6\u4e00\u5b9a\u8981\u540c\u65f6\u770b Precision \u548c Recall&#xff0c;\u6839\u636e\u4e1a\u52a1\u573a\u666f\u51b3\u5b9a\u54ea\u4e2a\u66f4\u91cd\u8981\u3002<\/p>\n<h2>\u672c\u8282\u5c0f\u7ed3<\/h2>\n<p>\u8fd9\u4e00\u8282\u6211\u4eec\u4ece\u4e09\u4e2a\u5c42\u6b21\u5efa\u7acb\u4e86\u7b2c\u516d\u7ae0\u7684&#034;\u6539\u8fdb\u6846\u67b6&#034;&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u4e2a\u5c42\u6b21\u662f&#034;\u8ba4\u77e5\u6846\u67b6&#034;\u2014\u2014\u628a\u6539\u8fdb\u76ee\u6807\u660e\u786e\u5212\u5206\u4e3a\u6da8\u70b9\u3001\u63d0\u901f\u3001\u8f7b\u91cf\u5316\u4e09\u4e2a\u65b9\u5411&#xff0c;\u6bcf\u4e2a\u65b9\u5411\u6709\u5404\u81ea\u7684\u6838\u5fc3\u8bc4\u4f30\u6307\u6807\u548c\u6280\u672f\u6b66\u5668\u5e93\u3002\u7406\u89e3\u4e86\u8fd9\u4e09\u4e2a\u65b9\u5411\u7684\u672c\u8d28\u5dee\u5f02\u548c\u76f8\u4e92\u5173\u7cfb&#xff0c;\u5c31\u4e0d\u4f1a\u518d\u505a&#034;\u6492\u7f51\u5f0f&#034;\u7684\u76f2\u76ee\u6539\u8fdb\u3002<\/p>\n<p>\u7b2c\u4e8c\u4e2a\u5c42\u6b21\u662f&#034;\u51b3\u7b56\u6846\u67b6&#034;\u2014\u2014\u56db\u6b65\u6cd5&#xff08;\u660e\u786e\u786c\u4ef6\u7ea6\u675f \u2192 \u8bc4\u4f30\u5b9e\u65f6\u6027 \u2192 \u5b9a\u4f4d\u7cbe\u5ea6\u77ed\u677f \u2192 \u6309\u4f18\u5148\u7ea7\u9009\u65b9\u6848&#xff09;&#xff0c;\u52a0\u4e0a\u4e09\u4e2a\u771f\u5b9e\u573a\u666f\u7684\u5b8c\u6574\u6f14\u7ec3&#xff0c;\u628a\u62bd\u8c61\u7684\u65b9\u6cd5\u8bba\u53d8\u6210\u4e86\u53ef\u64cd\u4f5c\u7684\u5de5\u7a0b\u51b3\u7b56\u6d41\u7a0b\u3002<\/p>\n<p>\u7b2c\u4e09\u4e2a\u5c42\u6b21\u662f&#034;\u5de5\u5177\u6846\u67b6&#034;\u2014\u2014baseline_profile.py \u548c ExperimentTracker \u4e24\u6bb5\u4ee3\u7801&#xff0c;\u6784\u5efa\u4e86\u8d2f\u7a7f\u7b2c\u516d\u7ae0\u6240\u6709\u5b9e\u9a8c\u7684&#034;\u5ea6\u91cf\u4eea\u5668&#034;\u548c&#034;\u8bb0\u5f55\u7cfb\u7edf&#034;&#xff0c;\u786e\u4fdd\u6240\u6709\u6539\u8fdb\u7ed3\u679c\u90fd\u53ef\u91cf\u5316\u3001\u53ef\u5bf9\u6bd4\u3001\u53ef\u590d\u73b0\u3002<\/p>\n<p>\u8fd8\u6709\u4e09\u6761\u5de5\u7a0b\u539f\u5219\u2014\u2014\u5355\u53d8\u91cf\u3001\u57fa\u7ebf\u5bf9\u6bd4\u3001\u53ef\u590d\u73b0\u6027\u2014\u2014\u8fd9\u662f\u6240\u6709\u5de5\u7a0b\u5b9e\u8df5\u7684\u5143\u539f\u5219&#xff0c;\u4e0d\u53ea\u662f\u672c\u7ae0\u9002\u7528&#xff0c;\u4efb\u4f55\u6d89\u53ca\u5b9e\u9a8c\u5bf9\u6bd4\u7684\u5de5\u4f5c\u90fd\u9002\u7528\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\u7b2c2\u8282&#xff0c;\u6211\u4eec\u5c31\u8981\u89e3\u51b3&#034;\u5de5\u7a0b\u57fa\u7840&#034;\u7684\u95ee\u9898\u2014\u2014\u600e\u4e48\u5f80 YOLOv10 \u91cc&#034;\u88c5\u8fdb&#034;\u4e00\u4e2a\u65b0\u7684 PyTorch \u6a21\u5757&#xff0c;yaml \u914d\u7f6e\u6587\u4ef6\u7684\u8bed\u6cd5\u3001Ultralytics \u7684\u6a21\u5757\u6ce8\u518c\u673a\u5236\u3001\u524d\u5411\u4f20\u64ad\u7684\u8c03\u8bd5\u65b9\u6cd5\u3002\u8fd9\u662f\u540e\u7eed 27 \u8282&#034;\u624b\u672f&#034;\u7684&#034;\u624b\u672f\u5ba4\u51c6\u5907\u5de5\u4f5c&#034;&#xff0c;\u540c\u6837\u4e0d\u80fd\u8df3\u8fc7\u3002<\/p>\n<p>\u6700\u540e\u8bf4\u4e00\u53e5&#xff1a;\u6539\u8fdb\u6a21\u578b\u8fd9\u4ef6\u4e8b&#xff0c;\u6ca1\u6709\u6377\u5f84&#xff0c;\u4e5f\u6ca1\u6709\u94f6\u5f39\u3002\u4f60\u5728\u8fd9\u4e00\u8282\u91cc\u5efa\u7acb\u7684&#034;\u65b9\u6cd5\u8bba&#034;&#xff0c;\u8fdc\u6bd4\u4f60\u76f4\u63a5\u590d\u5236\u4e00\u6bb5 CBAM \u4ee3\u7801\u585e\u8fdb\u6a21\u578b\u66f4\u6709\u4ef7\u503c\u3002\u65b9\u6cd5\u8bba\u5bf9\u4e86&#xff0c;\u6bcf\u4e00\u6b21&#034;\u5931\u8d25\u7684\u5b9e\u9a8c&#034;\u90fd\u662f\u4fe1\u606f&#xff0c;\u800c\u4e0d\u662f\u6d6a\u8d39&#xff1b;\u65b9\u6cd5\u8bba\u4e0d\u5bf9&#xff0c;\u5c31\u7b97\u5076\u7136\u6da8\u4e86\u51e0\u4e2a\u70b9&#xff0c;\u4e5f\u4e0d\u77e5\u9053\u4e0b\u6b21\u8be5\u600e\u4e48\u91cd\u590d\u8fd9\u4e2a&#034;\u6210\u529f&#034;\u3002\u54b1\u4eec\u4e0b\u8282\u89c1 &#x1f680;<\/p>\n<h2>&#x1f4cc; \u9644\u5f55<\/h2>\n<p>\u76f8\u5173\u53c2\u8003\u8d44\u6599<\/p>\n<ul>\n<li>YOLOv10 \u5b98\u65b9\u8bba\u6587&#xff1a;YOLOv10: Real-Time End-to-End Object Detection&#xff0c;Wang et al., 2024&#xff0c;arXiv: 2405.14458<\/li>\n<li>YOLOv10 \u6838\u5fc3\u673a\u5236&#xff1a;Consistent Dual Assignments&#xff08;\u4e00\u81f4\u6027\u53cc\u91cd\u6807\u7b7e\u5206\u914d&#xff09;<\/li>\n<li>YOLOv10 \u7aef\u5230\u7aef\u68c0\u6d4b\u673a\u5236&#xff1a;One-to-Many &#043; One-to-One Dual Assignments<\/li>\n<li>YOLOv10 \u9ad8\u6548\u6a21\u578b\u8bbe\u8ba1&#xff1a;Holistic Efficiency-Accuracy Driven Model Design<\/li>\n<li>YOLOv10 NMS-Free \u63a8\u7406&#xff1a;End-to-End Object Detection without NMS<\/li>\n<li>DFL \u76f8\u5173&#xff1a;Generalized Focal Loss: Learning Qualified and Distributed Bounding Boxes for Dense Object Detection<\/li>\n<li>COCO \u6570\u636e\u96c6\u57fa\u51c6&#xff1a;https:\/\/cocodataset.org<\/li>\n<li>YOLOv10 \u5b98\u65b9\u4ed3\u5e93&#xff1a;https:\/\/github.com\/THU-MIG\/yolov10<\/li>\n<li>PyTorch \u5b98\u65b9\u5b89\u88c5\u6307\u5357&#xff1a;https:\/\/pytorch.org\/get-started\/locally\/<\/li>\n<li>NVIDIA CUDA Toolkit \u5f52\u6863&#xff1a;https:\/\/developer.nvidia.com\/cuda-toolkit-archive<\/li>\n<li>Miniconda \u4e0b\u8f7d&#xff1a;https:\/\/docs.conda.io\/en\/latest\/miniconda.html<\/li>\n<li>\u672c\u8282\u6240\u6709\u811a\u672c\u4ee3\u7801&#xff1a;\u89c1\u6587\u7ae0\u5404\u4ee3\u7801\u5757&#xff0c;\u53ef\u76f4\u63a5\u590d\u5236\u4f7f\u7528<\/li>\n<\/ul>\n<p>COCO:<\/p>\n<table>\n<tr>ModelTest SizeAP^valParamsFLOPsLatency<\/tr>\n<tbody>\n<tr>\n<td>YOLOv10-N<\/td>\n<td align=\"right\">640<\/td>\n<td align=\"right\">38.5%<\/td>\n<td align=\"right\">2.3M<\/td>\n<td align=\"right\">6.7G<\/td>\n<td align=\"right\">1.84 ms<\/td>\n<\/tr>\n<tr>\n<td>YOLOv10-S<\/td>\n<td align=\"right\">640<\/td>\n<td align=\"right\">46.3%<\/td>\n<td align=\"right\">7.2M<\/td>\n<td align=\"right\">21.6G<\/td>\n<td align=\"right\">2.49 ms<\/td>\n<\/tr>\n<tr>\n<td>YOLOv10-M<\/td>\n<td align=\"right\">640<\/td>\n<td align=\"right\">51.1%<\/td>\n<td align=\"right\">15.4M<\/td>\n<td align=\"right\">59.1G<\/td>\n<td align=\"right\">4.74 ms<\/td>\n<\/tr>\n<tr>\n<td>YOLOv10-B<\/td>\n<td align=\"right\">640<\/td>\n<td align=\"right\">52.5%<\/td>\n<td align=\"right\">19.1M<\/td>\n<td align=\"right\">92.0G<\/td>\n<td align=\"right\">5.74 ms<\/td>\n<\/tr>\n<tr>\n<td>YOLOv10-L<\/td>\n<td align=\"right\">640<\/td>\n<td align=\"right\">53.2%<\/td>\n<td align=\"right\">24.4M<\/td>\n<td align=\"right\">120.3G<\/td>\n<td align=\"right\">7.28 ms<\/td>\n<\/tr>\n<tr>\n<td>YOLOv10-X<\/td>\n<td align=\"right\">640<\/td>\n<td align=\"right\">54.4%<\/td>\n<td align=\"right\">29.5M<\/td>\n<td align=\"right\">160.4G<\/td>\n<td align=\"right\">10.70 ms<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5e0c\u671b\u672c\u6587\u56f4\u7ed5 YOLOv10 \u7684\u5b9e\u6218\u8bb2\u89e3&#xff0c;\u80fd\u591f\u5728\u4ee5\u4e0b\u51e0\u4e2a\u7ef4\u5ea6\u4e0a\u5207\u5b9e\u5e2e\u52a9\u5230\u4f60&#xff1a;<\/p>\n<ul>\n<li>&#x1f3af; \u6a21\u578b\u7cbe\u5ea6\u63d0\u5347&#xff1a;\u7ed3\u5408 YOLOv10 \u7684\u4e00\u81f4\u6027\u53cc\u91cd\u6807\u7b7e\u5206\u914d\u3001\u7aef\u5230\u7aef\u68c0\u6d4b\u673a\u5236\u4e0e\u6574\u4f53\u6548\u7387-\u7cbe\u5ea6\u8bbe\u8ba1\u601d\u60f3&#xff0c;\u4ece\u7f51\u7edc\u7ed3\u6784\u3001\u7279\u5f81\u878d\u5408\u3001\u68c0\u6d4b\u5934\u3001\u6807\u7b7e\u5206\u914d\u3001\u635f\u5931\u51fd\u6570\u548c\u6570\u636e\u589e\u5f3a\u7b49\u65b9\u5411\u5c55\u5f00\u4f18\u5316&#xff0c;\u901a\u8fc7\u5de5\u7a0b\u5b9e\u9a8c\u8fdb\u4e00\u6b65\u63d0\u5347\u76ee\u6807\u68c0\u6d4b\u7cbe\u5ea6&#xff1b;<\/li>\n<li>&#x1f680; \u63a8\u7406\u901f\u5ea6\u4f18\u5316&#xff1a;\u7ed3\u5408 YOLOv10 \u7684 NMS-Free \u63a8\u7406\u673a\u5236&#xff0c;\u4ee5\u53ca\u6a21\u578b\u8f7b\u91cf\u5316\u3001\u7ed3\u6784\u91cd\u53c2\u6570\u5316\u3001\u526a\u679d\u3001\u91cf\u5316\u3001\u77e5\u8bc6\u84b8\u998f\u4e0e\u90e8\u7f72\u52a0\u901f\u7b56\u7565&#xff0c;\u5e2e\u52a9\u6a21\u578b\u5728\u771f\u5b9e\u4e1a\u52a1\u573a\u666f\u4e2d\u8fd0\u884c\u5f97\u66f4\u5feb\u3001\u66f4\u7a33\u5b9a&#xff1b;<\/li>\n<li>&#x1f9e9; \u5de5\u7a0b\u843d\u5730\u5b9e\u8df5&#xff1a;\u8986\u76d6\u6570\u636e\u51c6\u5907\u3001\u73af\u5883\u914d\u7f6e\u3001\u6a21\u578b\u8bad\u7ec3\u3001\u6548\u679c\u8bc4\u4f30\u3001\u95ee\u9898\u6392\u67e5\u3001\u6a21\u578b\u5bfc\u51fa\u4e0e\u90e8\u7f72\u63a8\u7406\u7b49\u5b8c\u6574\u94fe\u8def&#xff0c;\u63d0\u4f9b\u53ef\u76f4\u63a5\u590d\u7528\u6216\u7a0d\u52a0\u4fee\u6539\u5373\u53ef\u8fc1\u79fb\u7684\u5de5\u7a0b\u7ea7\u65b9\u6848&#xff1b;<\/li>\n<li>&#x1f9e0; \u6838\u5fc3\u673a\u5236\u7406\u89e3&#xff1a;\u6df1\u5165\u5206\u6790 YOLOv10 \u4e2d One-to-Many \u4e0e One-to-One \u53cc\u6807\u7b7e\u5206\u914d\u673a\u5236\u3001\u4e00\u81f4\u6027\u5339\u914d\u5ea6\u91cf\u3001\u7aef\u5230\u7aef\u68c0\u6d4b\u4ee5\u53ca\u9ad8\u6548\u7f51\u7edc\u8bbe\u8ba1 \u7684\u8bbe\u8ba1\u903b\u8f91&#xff0c;\u5e2e\u52a9\u4f60\u7406\u89e3\u6a21\u578b\u6027\u80fd\u63d0\u5347\u80cc\u540e\u7684\u539f\u56e0&#xff0c;\u800c\u4e0d\u662f\u505c\u7559\u5728\u7b80\u5355\u8c03\u7528\u5c42\u9762&#xff1b;<\/li>\n<li>&#x1f52c; \u6539\u8fdb\u65b9\u6848\u9a8c\u8bc1&#xff1a;\u901a\u8fc7\u6d88\u878d\u5b9e\u9a8c\u3001\u6307\u6807\u5bf9\u6bd4\u4e0e\u53ef\u89c6\u5316\u5206\u6790&#xff0c;\u8bc4\u4f30\u4e0d\u540c\u6539\u8fdb\u6a21\u5757\u5bf9 Precision\u3001Recall\u3001mAP\u3001FPS\u3001Latency\u3001\u53c2\u6570\u91cf\u548c FLOPs \u7684\u5b9e\u9645\u5f71\u54cd\u3002<\/li>\n<\/ul>\n<p> <img decoding=\"async\" width=\"1000\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261008073339-6ac747535fb0b.png\" \/> <\/p>\n<p>PS&#xff1a;\u5982\u679c\u4f60\u6309\u7167\u6587\u4e2d\u6b65\u9aa4\u5bf9 YOLOv10 \u8fdb\u884c\u4f18\u5316\u540e\u4ecd\u7136\u9047\u5230\u95ee\u9898&#xff0c;\u8bf7\u4e0d\u5fc5\u7126\u8651\u6216\u7070\u5fc3\u3002<\/p>\n<p>YOLOv10 \u662f\u4e00\u4e2a\u6d89\u53ca\u7f51\u7edc\u7ed3\u6784\u3001\u7279\u5f81\u63d0\u53d6\u3001\u6807\u7b7e\u5206\u914d\u3001\u68af\u5ea6\u4f18\u5316\u3001\u7aef\u5230\u7aef\u9884\u6d4b\u4e0e\u90e8\u7f72\u73af\u5883\u7684\u590d\u6742\u76ee\u6807\u68c0\u6d4b\u6846\u67b6&#xff0c;\u6700\u7ec8\u8868\u73b0\u4f1a\u53d7\u5230 \u786c\u4ef6\u73af\u5883\u3001\u6570\u636e\u96c6\u8d28\u91cf\u3001\u4efb\u52a1\u5b9a\u4e49\u3001\u7c7b\u522b\u5206\u5e03\u3001\u8bad\u7ec3\u914d\u7f6e\u3001\u4ee3\u7801\u7248\u672c\u4e0e\u90e8\u7f72\u5e73\u53f0 \u7b49\u591a\u91cd\u56e0\u7d20\u7684\u5171\u540c\u5f71\u54cd\u3002<\/p>\n<p>\u8fd9\u662f\u76ee\u6807\u68c0\u6d4b\u9879\u76ee\u4e2d\u5341\u5206\u5e38\u89c1\u7684\u5ba2\u89c2\u73b0\u8c61&#xff0c;\u5e76\u4e0d\u610f\u5473\u7740\u67d0\u4e2a\u6539\u8fdb\u6a21\u5757\u4e00\u5b9a\u65e0\u6548\u3002<\/p>\n<p>\u5982\u679c\u4f60\u5728\u5b9e\u8df5\u8fc7\u7a0b\u4e2d\u9047\u5230\u4ee5\u4e0b\u95ee\u9898&#xff1a;<\/p>\n<ul>\n<li>&#x1f41b; \u6a21\u5757\u66ff\u6362\u540e\u51fa\u73b0\u65b0\u7684\u62a5\u9519\u6216 Bug&#xff1b;<\/li>\n<li>&#x1f4c9; Precision\u3001Recall \u6216 mAP \u96be\u4ee5\u7ee7\u7eed\u63d0\u5347&#xff1b;<\/li>\n<li>&#x1f4c8; \u8bad\u7ec3\u635f\u5931\u5f02\u5e38\u3001\u68af\u5ea6\u4e0d\u7a33\u5b9a\u6216\u6a21\u578b\u96be\u4ee5\u6536\u655b&#xff1b;<\/li>\n<li>&#x1f3af; One-to-One \/ One-to-Many \u5206\u652f\u8bad\u7ec3\u6548\u679c\u5f02\u5e38&#xff1b;<\/li>\n<li>\u23f1\ufe0f \u63a8\u7406\u901f\u5ea6\u3001Latency\u3001\u663e\u5b58\u5360\u7528\u6216\u90e8\u7f72\u6027\u80fd\u4e0d\u8fbe\u9884\u671f&#xff1b;<\/li>\n<li>&#x1f504; \u4fee\u6539\u7f51\u7edc\u7ed3\u6784\u540e\u51fa\u73b0\u7ef4\u5ea6\u3001\u901a\u9053\u6570\u6216\u7279\u5f81\u5c42\u4e0d\u5339\u914d&#xff1b;<\/li>\n<li>\u2699\ufe0f \u4fee\u6539\u68c0\u6d4b\u5934\u540e\u7aef\u5230\u7aef\u9884\u6d4b\u5206\u652f\u51fa\u73b0\u517c\u5bb9\u6027\u95ee\u9898&#xff1b;<\/li>\n<li>&#x1f4e6; \u6a21\u578b\u5bfc\u51fa ONNX\u3001TensorRT\u3001OpenVINO \u7b49\u683c\u5f0f\u65f6\u5931\u8d25&#xff1b;<\/li>\n<\/ul>\n<p>\u6b22\u8fce\u5c06 \u5b8c\u6574\u62a5\u9519\u4fe1\u606f &#043; \u73af\u5883\u7248\u672c &#043; \u5173\u952e\u914d\u7f6e\u622a\u56fe &#043; \u7f51\u7edc\u914d\u7f6e\u6587\u4ef6 &#043; \u6838\u5fc3\u4ee3\u7801\u7247\u6bb5 \u7c98\u8d34\u81f3\u8bc4\u8bba\u533a&#xff0c;\u6211\u4eec\u53ef\u4ee5\u4e00\u8d77\u5206\u6790\u95ee\u9898\u6839\u56e0&#xff0c;\u5e76\u63a2\u8ba8\u66f4\u52a0\u53ef\u884c\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n<p>\u5982\u679c\u4f60\u5df2\u7ecf\u6478\u7d22\u51fa\u66f4\u4f18\u7684\u8bad\u7ec3\u53c2\u6570\u3001\u7f51\u7edc\u7ed3\u6784\u3001\u6807\u7b7e\u5206\u914d\u7b56\u7565\u3001\u6a21\u5757\u7ec4\u5408\u6216\u90e8\u7f72\u4f18\u5316\u601d\u8def&#xff0c;\u4e5f\u975e\u5e38\u6b22\u8fce\u5728\u8bc4\u8bba\u533a\u5206\u4eab\u3002<\/p>\n<p>\u4f60\u7684\u6bcf\u4e00\u6761\u5b9e\u6218\u7ecf\u9a8c&#xff0c;\u90fd\u53ef\u80fd\u6210\u4e3a\u5176\u4ed6\u5f00\u53d1\u8005\u89e3\u51b3\u95ee\u9898\u3001\u51cf\u5c11\u8bd5\u9519\u6210\u672c\u7684\u5173\u952e\u7ebf\u7d22\u3002<\/p>\n<p>\u90e8\u5206\u7ae0\u8282\u8fd8\u4f1a\u7ed3\u5408\u56fd\u5185\u5916\u524d\u6cbf\u8bba\u6587\u4e0e AIGC \u5927\u6a21\u578b\u6280\u672f&#xff0c;\u5bf9 YOLOv10 \u7684\u4e3b\u6d41\u6539\u8fdb\u65b9\u6848\u8fdb\u884c\u91cd\u6784\u4e0e\u518d\u8bbe\u8ba1&#xff0c;\u4f7f\u5185\u5bb9\u66f4\u52a0\u8d34\u8fd1\u5de5\u4e1a\u68c0\u6d4b\u3001\u667a\u6167\u4ea4\u901a\u3001\u6e38\u620f\u5206\u6790\u3001\u884c\u4e3a\u8bc6\u522b\u3001\u9065\u611f\u5f71\u50cf\u3001\u65e0\u4eba\u673a\u89c6\u89c9\u4e0e\u8fb9\u7f18\u8bbe\u5907\u90e8\u7f72\u7b49\u771f\u5b9e\u5e94\u7528\u573a\u666f\u3002<\/p>\n<p> <img decoding=\"async\" width=\"700\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261008073340-6ac7475413eb3.png\" \/><br \/>\n # &#x1f9e7;&#x1f9e7; \u6587\u672b\u798f\u5229&#xff0c;\u7b49\u4f60\u6765\u62ff&#xff01;&#x1f9e7;&#x1f9e7; <\/p>\n<p>&#x1f4cc; \u6587\u4e2d\u6240\u6d89\u53ca\u7684\u6280\u672f\u5185\u5bb9&#xff0c;\u5927\u591a\u6765\u6e90\u4e8e\u672c\u4eba\u5728 YOLOv10 \u9879\u76ee\u4e2d\u7684\u4e00\u7ebf\u5b9e\u8df5\u79ef\u7d2f&#xff0c;\u90e8\u5206\u6848\u4f8b\u53c2\u8003\u4e86\u5f00\u6e90\u9879\u76ee\u3001\u516c\u5f00\u8bba\u6587\u3001\u6280\u672f\u793e\u533a\u8d44\u6599\u4e0e\u8bfb\u8005\u53cd\u9988\u3002<\/p>\n<p>\u5982\u6709\u7248\u6743\u76f8\u5173\u95ee\u9898&#xff0c;\u6b22\u8fce\u7b2c\u4e00\u65f6\u95f4\u8054\u7cfb&#xff0c;\u6211\u5c06\u5c3d\u5feb\u6838\u5b9e\u5e76\u8fdb\u884c\u4fee\u6539\u6216\u4e0b\u7ebf\u5904\u7406\u3002<\/p>\n<p>\u90e8\u5206\u95ee\u9898\u5206\u6790\u601d\u8def\u4e0e\u6392\u67e5\u8def\u5f84\u53c2\u8003\u4e86\u6280\u672f\u793e\u533a\u53ca AI \u95ee\u7b54\u5e73\u53f0&#xff0c;\u5728\u6b64\u4e00\u5e76\u81f4\u8c22 &#x1f64f;<\/p>\n<p>\u6700\u540e\u60f3\u8bf4\u7684\u662f&#xff1a;<\/p>\n<p><font color=\"red\">YOLOv10 \u7684\u4f18\u5316\u672c\u8d28\u4e0a\u662f\u4e00\u4e2a\u9ad8\u5ea6\u4f9d\u8d56\u4efb\u52a1\u3001\u6570\u636e\u548c\u90e8\u7f72\u73af\u5883\u7684\u7cfb\u7edf\u5de5\u7a0b\u95ee\u9898&#xff0c;\u4e0d\u5b58\u5728\u201c\u4e00\u62db\u901a\u6740\u201d\u7684\u94f6\u5f39\u65b9\u6848\u3002<\/font><\/p>\n<p>\u4e00\u81f4\u6027\u53cc\u91cd\u6807\u7b7e\u5206\u914d\u3001One-to-Many \/ One-to-One \u68c0\u6d4b\u7b56\u7565\u3001\u6ce8\u610f\u529b\u673a\u5236\u3001\u8f7b\u91cf\u5316\u5377\u79ef\u3001\u6539\u8fdb\u68c0\u6d4b\u5934\u3001IoU \u635f\u5931\u51fd\u6570\u3001\u7279\u5f81\u878d\u5408\u6a21\u5757\u548c\u6570\u636e\u589e\u5f3a\u7b56\u7565&#xff0c;\u90fd\u6709\u5176\u9002\u7528\u6761\u4ef6\u3002<\/p>\n<p>\u67d0\u4e2a\u6a21\u5757\u5728\u516c\u5f00\u6570\u636e\u96c6\u4e0a\u53d6\u5f97\u63d0\u5347&#xff0c;\u5e76\u4e0d\u610f\u5473\u7740\u5b83\u80fd\u591f\u5728\u6240\u6709\u81ea\u5b9a\u4e49\u6570\u636e\u96c6\u3001\u786c\u4ef6\u5e73\u53f0\u548c\u4e1a\u52a1\u573a\u666f\u4e2d\u83b7\u5f97\u540c\u6837\u6536\u76ca\u3002<\/p>\n<p>\u5c24\u5176\u5bf9\u4e8e YOLOv10 \u800c\u8a00&#xff0c;\u5728\u8fdb\u884c\u7ed3\u6784\u6539\u8fdb\u65f6\u8fd8\u9700\u8981\u989d\u5916\u5173\u6ce8 \u7aef\u5230\u7aef\u68c0\u6d4b\u5206\u652f\u3001\u6807\u7b7e\u5206\u914d\u4e00\u81f4\u6027\u4ee5\u53ca NMS-Free \u63a8\u7406\u94fe\u8def\u3002\u67d0\u4e9b\u76f4\u63a5\u4ece YOLOv8\u3001YOLOv9\u3001YOLOv11 \u7b49\u6a21\u578b\u8fc1\u79fb\u8fc7\u6765\u7684\u6a21\u5757&#xff0c;\u5982\u679c\u6ca1\u6709\u5904\u7406\u597d\u68c0\u6d4b\u5934\u4e0e\u8bad\u7ec3\u5206\u652f\u4e4b\u95f4\u7684\u9002\u914d\u5173\u7cfb&#xff0c;\u4e5f\u53ef\u80fd\u51fa\u73b0\u7cbe\u5ea6\u4e0b\u964d\u3001\u8bad\u7ec3\u4e0d\u7a33\u5b9a\u6216\u63a8\u7406\u903b\u8f91\u5f02\u5e38\u7b49\u95ee\u9898\u3002<\/p>\n<p>\u771f\u6b63\u6709\u6548\u7684\u4f18\u5316\u8def\u5f84&#xff0c;\u6c38\u8fdc\u6e90\u4e8e&#xff1a;<\/p>\n<ul>\n<li>\u5bf9\u4e1a\u52a1\u76ee\u6807\u4e0e\u8bc4\u4ef7\u6307\u6807\u7684\u51c6\u786e\u7406\u89e3&#xff1b;<\/li>\n<li>\u5bf9\u6570\u636e\u8d28\u91cf\u548c\u7c7b\u522b\u5206\u5e03\u7684\u6301\u7eed\u5206\u6790&#xff1b;<\/li>\n<li>\u5bf9\u6a21\u578b\u74f6\u9888\u7684\u5b9a\u4f4d\u4e0e\u9488\u5bf9\u6027\u6539\u8fdb&#xff1b;<\/li>\n<li>\u5bf9 One-to-Many \u4e0e One-to-One \u5206\u652f\u673a\u5236\u7684\u6b63\u786e\u7406\u89e3&#xff1b;<\/li>\n<li>\u5bf9\u5b9e\u9a8c\u53d8\u91cf\u7684\u4e25\u683c\u63a7\u5236&#xff1b;<\/li>\n<li>\u5bf9\u7cbe\u5ea6\u3001\u901f\u5ea6\u3001Latency\u3001\u53c2\u6570\u91cf\u548c\u90e8\u7f72\u6210\u672c\u7684\u7efc\u5408\u6743\u8861&#xff1b;<\/li>\n<li>\u4ee5\u53ca\u4e00\u8f6e\u53c8\u4e00\u8f6e\u53ef\u590d\u73b0\u7684\u5bf9\u6bd4\u5b9e\u9a8c\u3002<\/li>\n<\/ul>\n<p>\u5982\u679c\u4f60\u5df2\u7ecf\u5728\u81ea\u5df1\u7684\u9879\u76ee\u4e2d\u63a2\u7d22\u51fa\u4e86\u66f4\u52a0\u9ad8\u6548\u3001\u7a33\u5b9a\u7684 YOLOv10 \u4f18\u5316\u8def\u5f84&#xff0c;\u975e\u5e38\u9f13\u52b1\u4f60&#xff1a;<\/p>\n<ul>\n<li>&#x1f4ac; \u5728\u8bc4\u8bba\u533a\u7b80\u8981\u5206\u4eab\u6838\u5fc3\u601d\u8def\u4e0e\u5b9e\u9a8c\u7ed3\u8bba&#xff1b;<\/li>\n<li>&#x1f4ca; \u5206\u4eab\u4e0d\u540c\u6a21\u5757\u7684\u6d88\u878d\u5b9e\u9a8c\u7ed3\u679c&#xff1b;<\/li>\n<li>&#x1f4dd; 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