{"id":70264,"date":"2026-02-01T18:05:49","date_gmt":"2026-02-01T10:05:49","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/70264.html"},"modified":"2026-02-01T18:05:49","modified_gmt":"2026-02-01T10:05:49","slug":"%e4%bb%8e%e5%83%8f%e7%b4%a0%e5%88%b0%e7%bb%84%e4%bb%b6%ef%bc%9a%e7%94%a8%e4%ba%8e%e8%a7%86%e8%a7%89%e8%a1%a8%e5%be%81%e5%ad%a6%e4%b9%a0%e7%9a%84%e7%89%b9%e5%be%81%e5%90%91%e9%87%8f%e6%8e%a9%e8%94%bd","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/70264.html","title":{"rendered":"\u4ece\u50cf\u7d20\u5230\u7ec4\u4ef6\uff1a\u7528\u4e8e\u89c6\u89c9\u8868\u5f81\u5b66\u4e60\u7684\u7279\u5f81\u5411\u91cf\u63a9\u853d"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>From Pixels to Components: Eigenvector Masking for Visual Representation Learning<\/li>\n<li>\n<ul>\n<li>\u9884\u5907\u77e5\u8bc6<\/li>\n<li>\u521b\u65b0\u70b9<\/li>\n<li>\u65b9\u6cd5\u5b9e\u73b0<\/li>\n<li>\n<ul>\n<li>\u6b65\u9aa4 1&#xff1a;\u6570\u636e\u9884\u5904\u7406\u4e0e PCA \u53d8\u6362<\/li>\n<li>1.\u6570\u636e\u8f93\u5165\u4e0e\u6807\u51c6\u5316<\/li>\n<li>2. \u5168\u7ef4\u5ea6 PCA \u53d8\u6362&#xff08;\u65e0\u635f\u6620\u5c04&#xff09;<\/li>\n<li>\u6b65\u9aa4 2&#xff1a;\u57fa\u4e8e \u201c\u65b9\u5dee\u5360\u6bd4\u201d \u7684\u4e3b\u6210\u5206\u63a9\u7801\u8bbe\u8ba1<\/li>\n<li>(1) PMAE_ocl&#xff08;Oracle \u6700\u4f18\u63a9\u7801&#xff09;<\/li>\n<li>(2) PMAE_rd&#xff08;\u968f\u673a\u5316\u63a9\u7801&#xff09;<\/li>\n<li>\u6b65\u9aa4 3&#xff1a;PMAE \u6a21\u578b\u67b6\u6784&#xff08;\u9002\u914d PC \u7a7a\u95f4\u7684 ViT encoder-decoder&#xff09;<\/li>\n<li>1. \u7f16\u7801\u5668&#xff08;Encoder&#xff09;&#xff1a;\u5904\u7406\u201c\u53ef\u89c1\u6210\u5206\u7684\u50cf\u7d20\u7a7a\u95f4\u6620\u5c04\u201d<\/li>\n<li>2. \u89e3\u7801\u5668&#xff08;Decoder&#xff09;&#xff1a;\u91cd\u5efa\u201c\u63a9\u7801\u4e3b\u6210\u5206\u201d<\/li>\n<li>3. \u635f\u5931\u51fd\u6570&#xff1a;PC \u7a7a\u95f4\u7684 L2 \u635f\u5931<\/li>\n<\/ul>\n<\/li>\n<li>\u5b9e\u9a8c<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>From Pixels to Components: Eigenvector Masking for Visual Representation Learning<\/h2>\n<p>\u8bba\u6587&#xff1a;https:\/\/arxiv.org\/abs\/2502.06314 \u4f1a\u8bae&#xff1a;https:\/\/so.csdn.net\/so\/search?q&#061;ECCV&amp;spm&#061;1001.2101.3001.7020 \u5e74\u4efd&#xff1a;2025<\/p>\n<h3>\u9884\u5907\u77e5\u8bc6<\/h3>\n<li>\n<p>\u81ea\u76d1\u7763\u5b66\u4e60&#xff08;Self-Supervised Learning, SSL&#xff09; \u65e0\u9700\u4eba\u5de5\u6807\u6ce8&#xff0c;\u901a\u8fc7 \u201c\u8bbe\u8ba1\u8f85\u52a9\u4efb\u52a1\u201d \u4ece\u65e0\u6807\u7b7e\u6570\u636e\u4e2d\u5b66\u4e60\u6709\u610f\u4e49\u7684\u7279\u5f81\u8868\u793a&#xff0c;\u76ee\u6807\u662f\u8ba9\u5b66\u4e60\u5230\u7684\u8868\u793a\u80fd\u8fc1\u79fb\u5230\u4e0b\u6e38\u4efb\u52a1<\/p>\n<\/li>\n<li>\n<p>\u4e3b\u6210\u5206\u5206\u6790&#xff08;PCA&#xff09; \u4e00\u79cd\u7ebf\u6027\u964d\u7ef4 \/ \u6570\u636e\u53d8\u6362\u65b9\u6cd5&#xff0c;\u76ee\u6807\u662f\u627e\u5230\u6570\u636e\u4e2d \u201c\u65b9\u5dee\u6700\u5927\u7684\u6b63\u4ea4\u65b9\u5411&#xff08;\u4e3b\u6210\u5206&#xff0c;PC&#xff09;\u201d&#xff0c;\u5b9e\u73b0\u6570\u636e\u7684\u4f4e\u7ef4\u8868\u793a\u6216\u7279\u5f81\u5206\u89e3<\/p>\n<\/li>\n<h3>\u521b\u65b0\u70b9<\/h3>\n<p>1.\u4ece \u201c\u50cf\u7d20\u5c40\u90e8\u7a7a\u95f4\u201d \u8f6c\u5411 \u201c\u4e3b\u6210\u5206\u5168\u5c40\u7a7a\u95f4\u201d&#xff0c;\u89e3\u51b3\u8bed\u4e49\u4e22\u5931\u4e0e\u5197\u4f59\u95ee\u9898<\/p>\n<p>\u4f20\u7edfMIM\u91c7\u7528\u50cf\u7d20\u5757\u968f\u673a\u63a9\u7801&#xff08;\u5982\u56fa\u5b9a\u63a9\u7801 75% \u7684 16\u00d716 \u50cf\u7d20\u5757&#xff09;&#xff0c;\u5b58\u5728\u4e24\u5927\u4e3b\u8981\u95ee\u9898&#xff1a;<\/p>\n<p>&#xff08;1&#xff09;\u8bed\u4e49\u5b8c\u5168\u4e22\u5931&#xff1a;\u5c0f\u76ee\u6807&#xff08;\u5982\u56fe\u50cf\u4e2d\u7684\u5c0f\u7269\u4f53\u3001\u533b\u7597\u56fe\u50cf\u4e2d\u7684\u7ec6\u80de&#xff09;\u53ef\u80fd\u88ab\u63a9\u7801\u5757\u5b8c\u5168\u8986\u76d6&#xff0c;\u5bfc\u81f4\u6a21\u578b\u65e0\u6cd5\u83b7\u53d6\u76ee\u6807\u8bed\u4e49\u4fe1\u606f&#xff0c;&#xff08;\u5982\u56fe 1 \u53f3\u4fa7\u6848\u4f8b&#xff0c;\u63a9\u7801\u540e\u56fe\u50cf\u65e0\u4efb\u4f55\u53ef\u8bc6\u522b\u7684\u7269\u4f53\u7279\u5f81&#xff09;&#xff1b; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100547-697f257b1281e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/>\u56fe1. \u50cf\u7d20\u7a7a\u95f4\u4e2d\u7684\u63a9\u7801\u64cd\u4f5c\u3002\u5de6\u4fa7\u4e3a\u539f\u59cb\u56fe\u50cf&#xff0c;\u4e2d\u95f4\u4e3a\u65bd\u52a0\u968f\u673a\u7a7a\u95f4\u63a9\u7801\u540e\u90e8\u5206\u76f8\u5173\u4fe1\u606f\u88ab\u79fb\u9664\u7684\u56fe\u50cf&#xff0c;\u53f3\u4fa7\u4e3a\u6240\u6709\u8bed\u4e49\u4fe1\u606f\u90fd\u88ab\u79fb\u9664\u7684\u56fe\u50cf\u3002\u540e\u8005\u662f\u4e00\u4e2a\u63a9\u7801\u56fe\u50cf\u5efa\u6a21&#xff08;MIM&#xff09;\u53ef\u80fd\u65e0\u6cd5\u5b66\u4e60\u5230\u6709\u7528\u8868\u5f81\u7684\u4f8b\u5b50<\/p>\n<p>&#xff08;2&#xff09;\u5c40\u90e8\u4fe1\u606f\u5197\u4f59&#xff1a;\u5355\u4e2a\u50cf\u7d20\u5757\u5e38\u5305\u542b\u80cc\u666f\u3001\u7eb9\u7406\u7b49\u65e0\u610f\u4e49\u5197\u4f59\u4fe1\u606f&#xff0c;\u4f7f\u5f97 \u201c\u53ef\u89c1\u533a\u57df &#8211; \u63a9\u7801\u533a\u57df\u201d \u7684\u5171\u4eab\u4fe1\u606f\u4e0e\u4e0b\u6e38\u4efb\u52a1&#xff08;\u5982\u56fe\u50cf\u5206\u7c7b&#xff09;\u6240\u9700\u7684\u9ad8\u5c42\u7279\u5f81&#xff08;\u5982\u7269\u4f53\u7c7b\u522b&#xff09;\u9519\u4f4d\u3002<\/p>\n<p>\u8bba\u6587\u4e2d\u7684\u89e3\u51b3\u529e\u6cd5 \u9996\u6b21\u63d0\u51fa\u5728\u4e3b\u6210\u5206&#xff08;PC&#xff09;\u7a7a\u95f4\u8fdb\u884c\u63a9\u7801&#xff1a;\u901a\u8fc7 PCA \u5c06\u56fe\u50cf\u4ece\u50cf\u7d20\u7a7a\u95f4&#xff08;\u5c40\u90e8\u3001\u5197\u4f59&#xff09;\u8f6c\u6362\u4e3a PC \u7a7a\u95f4&#xff08;\u5168\u5c40\u3001\u53bb\u5197\u4f59&#xff09;&#xff0c;\u6bcf\u4e2a\u4e3b\u6210\u5206\u5bf9\u5e94\u56fe\u50cf\u7684\u5168\u5c40\u53d8\u5316\u6a21\u5f0f&#xff08;\u5982\u9ad8\u7279\u5f81\u503c PC \u6355\u6349\u989c\u8272\u5206\u5e03\u3001\u4f4e\u7279\u5f81\u503c PC \u6355\u6349\u8fb9\u7f18\u7ed3\u6784&#xff0c;\u56fe 2&#xff09;&#xff0c;\u786e\u4fdd\u63a9\u7801\u540e\u4ecd\u4fdd\u7559\u76ee\u6807\u7684\u90e8\u5206\u8bed\u4e49\u4fe1\u606f&#xff0c;\u540c\u65f6\u907f\u514d\u5c40\u90e8\u5197\u4f59\u3002 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100547-697f257b2b5e2.png\" alt=\"vdv\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100547-697f257b678d4.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56fe2. \u4ece\u4e3b\u6210\u5206\u5230\u7a7a\u95f4\u7279\u5f81\u3002\u4e0e\u4e3b\u6210\u5206\u8c31\u4e0d\u540c\u533a\u57df\u76f8\u5173\u7684\u7a7a\u95f4\u7279\u5f81\u6982\u8ff0&#xff1b;\u56fe\u50cf\u5c55\u793a\u4e86\u9876\u90e8&#xff08;\u6d45\u84dd\u8272&#xff09;\u3001\u4e2d\u90e8&#xff08;\u6d45\u84dd&#xff09;\u548c\u5e95\u90e8&#xff08;\u6df1\u84dd\u8272&#xff09;\u4e3b\u6210\u5206\u6240\u6355\u6349\u7684\u7279\u5f81<\/p>\n<p>\u5229\u7528 PCA \u7684\u6570\u5b66\u7279\u6027\u5b9e\u73b0 \u201c\u4fe1\u606f\u7684\u6709\u610f\u4e49\u5212\u5206\u201d<\/p>\n<p>&#xff08;1&#xff09;\u65e0\u76f8\u5173\u6027\u4e0e\u65b9\u5dee\u53ef\u89e3\u91ca\u6027&#xff1a;PCA \u751f\u6210\u7684\u4e3b\u6210\u5206\u5f7c\u6b64\u4e0d\u76f8\u5173&#xff0c;\u4e14\u6bcf\u4e2a\u4e3b\u6210\u5206\u7684\u65b9\u5dee\u8d21\u732e\u5df2\u77e5&#xff08;\u65b9\u5dee\u5360\u6bd4\u4e0e\u7279\u5f81\u503c\u6210\u6b63\u6bd4&#xff09;&#xff0c;\u53ef\u7cbe\u51c6\u63a7\u5236\u63a9\u7801\u7684 \u201c\u4fe1\u606f\u91cf\u201d&#xff0c;\u800c\u975e\u50cf\u50cf\u7d20\u5757\u63a9\u7801\u90a3\u6837\u4f9d\u8d56\u6a21\u7cca\u7684 \u201c\u5757\u6570\u91cf\u5360\u6bd4\u201d&#xff1b;<\/p>\n<p>&#xff08;2&#xff09;\u5168\u5c40\u7279\u5f81\u627f\u8f7d&#xff1a;PC \u7a7a\u95f4\u7684\u6bcf\u4e2a\u7ef4\u5ea6\u5bf9\u5e94\u56fe\u50cf\u7684\u5168\u5c40\u7279\u5f81&#xff08;\u5982\u6574\u4f53\u4eae\u5ea6\u3001\u7269\u4f53\u8f6e\u5ed3&#xff09;&#xff0c;\u800c\u975e\u50cf\u7d20\u5757\u7684\u5c40\u90e8\u7279\u5f81&#xff08;\u5982\u5355\u4e2a\u80cc\u666f\u533a\u57df&#xff09;&#xff0c;\u4f7f\u6a21\u578b\u5728\u91cd\u6784\u63a9\u7801\u6210\u5206\u65f6\u5fc5\u987b\u5b66\u4e60\u9ad8\u5c42\u5168\u5c40\u7279\u5f81&#xff0c;\u800c\u975e\u4f4e\u5c42\u6b21\u7eb9\u7406\u3002<\/p>\n<p>2.\u57fa\u4e8e \u201c\u65b9\u5dee\u5360\u6bd4\u201d \u7684\u52a8\u6001\u63a9\u7801&#xff0c;\u63d0\u5347\u8d85\u53c2\u6570\u9c81\u68d2\u6027\u4e0e\u53ef\u89e3\u91ca\u6027<\/p>\n<p>\u4f20\u7edf MAE \u7684\u63a9\u7801\u6bd4\u4f8b\u4ee5 \u201c\u50cf\u7d20\u5757\u6570\u91cf\u201d \u4e3a\u57fa\u51c6&#xff08;\u5982 75% \u5757\u63a9\u7801&#xff09;&#xff0c;\u5b58\u5728\u4e24\u5927\u95ee\u9898&#xff1a; &#xff08;1&#xff09;\u6570\u636e\u96c6\u4f9d\u8d56\u6027\u5f3a&#xff1a;\u9700\u9488\u5bf9\u4e0d\u540c\u6570\u636e\u96c6\u5355\u72ec\u8c03\u4f18&#xff08;\u5982\u56fe 3 \u9876\u90e8&#xff0c;75% \u63a9\u7801\u5728 CIFAR10\u3001TinyImageNet \u7b49\u6570\u636e\u96c6\u4e0a\u5747\u975e\u6700\u4f18&#xff09;&#xff1b; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100547-697f257b7b58f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56fe3. \u63a9\u7801\u7387\u7684\u5f71\u54cd\u3002\u4e0d\u540c\u63a9\u7801\u7387\u4e0bMAE&#xff08;\u4e0a&#xff09;\u548cPMAE&#xff08;\u4e0b&#xff09;\u7684\u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u3002\u63a9\u7801\u7387\u662f\u4e00\u4e2a\u654f\u611f\u4e14\u4f9d\u8d56\u6570\u636e\u7684\u8d85\u53c2\u6570\u3002\u867d\u7136\u5f88\u96be\u4e3aMAE\u63d0\u53d6\u660e\u786e\u7684\u63a9\u7801\u6307\u5bfc\u539f\u5219&#xff0c;\u4f46\u5bf9\u4e8ePMAE&#xff0c;\u6211\u4eec\u89c2\u5bdf\u5230\u572820%\u7684\u6570\u636e\u65b9\u5dee\u88ab\u63a9\u7801\u65f6&#xff0c;\u5176\u5728\u5404\u4e2a\u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\u63a5\u8fd1\u6700\u4f18\u3002&#xff08;\u53f3&#xff09;\u5b66\u4e60\u66f2\u7ebf\u3002CIFAR10\u5206\u7c7b\u4efb\u52a1\u5728\u8bad\u7ec3\u8f6e\u6b21\u4e2d\u7684\u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u3002PMAE\u5728200\u8f6e\u540e\u8d85\u8fc7\u4e86MAE\u7684\u6700\u7ec8\u6027\u80fd<\/p>\n<p>&#xff08;2&#xff09;\u4fe1\u606f\u91cf\u6a21\u7cca&#xff1a;\u76f8\u540c\u5757\u5360\u6bd4\u5728\u4e0d\u540c\u6570\u636e\u96c6&#xff08;\u5982\u7b80\u5355\u7684 CIFAR10 \u4e0e\u590d\u6742\u7684 TinyImageNet&#xff09;\u4e2d\u5bf9\u5e94\u5b8c\u5168\u4e0d\u540c\u7684\u4fe1\u606f\u542b\u91cf&#xff0c;\u65e0\u6cd5\u7edf\u4e00\u89e3\u91ca<\/p>\n<p>\u8bba\u6587\u63d0\u51fa\u4ee5 \u201c\u65b9\u5dee\u5360\u6bd4\u201d \u5b9a\u4e49\u63a9\u7801\u6bd4\u4f8b&#xff1a;\u968f\u673a\u63a9\u7801\u4e00\u7ec4\u4e3b\u6210\u5206&#xff0c;\u4f7f\u5176\u7d2f\u8ba1\u8d21\u732e\u6570\u636e\u603b\u65b9\u5dee\u7684\u56fa\u5b9a\u6bd4\u4f8b&#xff08;\u5982 20%&#xff09;&#xff0c;\u8be5\u6bd4\u4f8b\u76f4\u63a5\u5bf9\u5e94\u4efb\u52a1\u590d\u6742\u5ea6&#xff08;\u65b9\u5dee\u5360\u6bd4\u8d8a\u9ad8&#xff0c;\u9700\u91cd\u6784\u7684\u4fe1\u606f\u8d8a\u5173\u952e&#xff0c;\u4efb\u52a1\u8d8a\u96be&#xff09;\u3002\u4f8b\u5982&#xff1a;<\/p>\n<p>&#xff08;1&#xff09;\u5728 PMAE_ocl&#xff08; oracle \u63a9\u7801&#xff09;\u4e2d&#xff0c;\u901a\u8fc7\u9a8c\u8bc1\u96c6\u7ebf\u6027\u63a2\u6d4b\u6027\u80fd\u786e\u5b9a\u6700\u4f18\u65b9\u5dee\u63a9\u7801\u6bd4\u4f8b&#xff08;\u591a\u6570\u6570\u636e\u96c6\u4e0a 20% \u65b9\u5dee\u63a9\u7801\u63a5\u8fd1\u6700\u4f18&#xff0c;\u56fe 3 \u5e95\u90e8&#xff09;&#xff1b;<\/p>\n<p>&#xff08;2&#xff09;\u5728 PMAE_rd&#xff08;\u968f\u673a\u5316\u63a9\u7801&#xff09;\u4e2d&#xff0c;\u6bcf\u4e2a\u6279\u6b21\u968f\u673a\u91c7\u6837 10%-90% \u7684\u65b9\u5dee\u63a9\u7801\u6bd4\u4f8b&#xff0c;\u65e0\u9700\u4efb\u4f55\u8d85\u53c2\u6570\u8c03\u4f18\u3002<\/p>\n<p>3.\u9002\u914d PC \u7a7a\u95f4\u7684 PMAE \u8bbe\u8ba1&#xff0c;\u517c\u5bb9\u591a\u7f51\u7edc\u7c7b\u578b<\/p>\n<p>4.\u76ee\u6807\u51fd\u6570\u521b\u65b0&#xff1a;PC \u7a7a\u95f4\u635f\u5931\u8ba1\u7b97&#xff0c;\u907f\u514d\u50cf\u7d20\u7a7a\u95f4\u7ea6\u675f\u8fc7\u8f7d<\/p>\n<h3>\u65b9\u6cd5\u5b9e\u73b0<\/h3>\n<h4>\u6b65\u9aa4 1&#xff1a;\u6570\u636e\u9884\u5904\u7406\u4e0e PCA \u53d8\u6362<\/h4>\n<h4>1.\u6570\u636e\u8f93\u5165\u4e0e\u6807\u51c6\u5316<\/h4>\n<p>\u8f93\u5165\u56fe\u50cf&#xff1a;\u5747\u5148\u6309\u6570\u636e\u96c6\u8bad\u7ec3\u96c6\u7684\u5747\u503c\u548c\u6807\u51c6\u5dee\u8fdb\u884c\u6807\u51c6\u5316&#xff0c;\u6d88\u9664\u50cf\u7d20\u503c\u91cf\u7ea7\u5dee\u5f02&#xff1b;<\/p>\n<p>\u6570\u636e\u589e\u5f3a&#xff1a;\u9075\u5faa MAE \u7684\u901a\u7528\u7b56\u7565&#xff0c;\u5305\u62ec \u201c\u968f\u673a\u88c1\u526a\u2192\u53cc\u4e09\u6b21\u63d2\u503c resize \u56de\u539f\u5c3a\u5bf8\u2192\u6c34\u5e73\u7ffb\u8f6c\u201d&#xff0c;\u4e14\u8bad\u7ec3\u548c\u8bc4\u4f30\u9636\u6bb5\u5747\u4fdd\u7559\u589e\u5f3a<\/p>\n<h4>2. \u5168\u7ef4\u5ea6 PCA \u53d8\u6362&#xff08;\u65e0\u635f\u6620\u5c04&#xff09;<\/h4>\n<ul>\n<li>\n<p>PCA\u8ba1\u7b97&#xff1a;\u5bf9\u6807\u51c6\u5316\u540e\u7684\u56fe\u50cf\u6570\u636e\u96c6&#xff0c;\u8ba1\u7b97\u5176\u7ecf\u9a8c\u534f\u65b9\u5dee\u77e9\u9635 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           \u2211 <\/p>\n<p>           &#061; <\/p>\n<p>            X <\/p>\n<p>            \u22a4 <\/p>\n<p>           X <\/p>\n<p>          \\\\sum &#061; X^\\\\top 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=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/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: 0.8491em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><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\">\u22a4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><\/span><\/span><\/span><\/span>&#xff08;<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>             N <\/p>\n<p>             \u00d7 <\/p>\n<p>             D <\/p>\n<p>          X \\\\in \\\\mathbb{R}^{N \\\\times D} <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7224em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">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: 0.109em\">N<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/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>           N <\/p>\n<p>          N <\/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: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>\u4e3a\u6837\u672c\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           D <\/p>\n<p>          D <\/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\">D<\/span><\/span><\/span><\/span><\/span>\u4e3a\u50cf\u7d20\u7ef4\u5ea6&#xff0c;\u5982 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           32 <\/p>\n<p>           \u00d7 <\/p>\n<p>           32 <\/p>\n<p>           \u00d7 <\/p>\n<p>           3 <\/p>\n<p>           &#061; <\/p>\n<p>           3072 <\/p>\n<p>          32 \\\\times 32 \\\\times 3 &#061; 3072 <\/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\">32<\/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: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">32<\/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 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\">3072<\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff0c;\u901a\u8fc7\u7279\u5f81\u503c\u5206\u89e3\u5f97\u5230&#xff1a;<\/p>\n<ul>\n<li>\u7279\u5f81\u5411\u91cf\u77e9\u9635<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            V <\/p>\n<p>            \u2208 <\/p>\n<p>             R <\/p>\n<p>              D <\/p>\n<p>              \u00d7 <\/p>\n<p>              D <\/p>\n<p>           V \\\\in \\\\mathbb{R}^{D \\\\times D} <\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7224em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/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: 0.0278em\">D<\/span><span class=\"mbin mtight\">\u00d7<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u5217\u5411\u91cf\u4e3a\u5404\u4e3b\u6210\u5206\u65b9\u5411&#xff09;&#xff1b;<\/li>\n<li>\u7279\u5f81\u503c\u77e9\u9635<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            \u039b <\/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>             \u03bb <\/p>\n<p>             1 <\/p>\n<p>            , <\/p>\n<p>            \u2026 <\/p>\n<p>            , <\/p>\n<p>             \u03bb <\/p>\n<p>             D <\/p>\n<p>            ) <\/p>\n<p>           \\\\Lambda &#061; diag(\\\\lambda_1, \\\\dots, \\\\lambda_D) <\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u039b<\/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\">d<\/span><span class=\"mord mathnormal\">ia<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/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: 0em;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=\"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\"><span class=\"mord mathnormal\">\u03bb<\/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 mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/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>&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>             \u03bb <\/p>\n<p>             1 <\/p>\n<p>            &gt; <\/p>\n<p>             \u03bb <\/p>\n<p>             2 <\/p>\n<p>            &gt; <\/p>\n<p>            \u22ef <\/p>\n<p>            &gt; <\/p>\n<p>             \u03bb <\/p>\n<p>             D <\/p>\n<p>           \\\\lambda_1 &gt; \\\\lambda_2 &gt; \\\\dots &gt; \\\\lambda_D <\/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 mathnormal\">\u03bb<\/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: 0em;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\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/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: 0em;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\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/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 mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/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;\u7279\u5f81\u503c\u4e0e\u4e3b\u6210\u5206\u7684\u65b9\u5dee\u8d21\u732e\u6210\u6b63\u6bd4&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u56fe\u50cf\u5230 PC \u7a7a\u95f4\u7684\u6620\u5c04&#xff1a;\u5bf9\u5355\u5f20\u56fe\u50cf<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>            D <\/p>\n<p>          x \\\\in \\\\mathbb{R}^D <\/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 mathnormal\">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 mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u901a\u8fc7 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            x <\/p>\n<p>             P <\/p>\n<p>             C <\/p>\n<p>           &#061; <\/p>\n<p>           x <\/p>\n<p>           \u22c5 <\/p>\n<p>           V <\/p>\n<p>          x_{PC} &#061; x \\\\cdot V <\/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\">x<\/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\">PC<\/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: 0.4445em\"><\/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: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><\/span><\/span><\/span><\/span>\u8f6c\u6362\u4e3a PC \u7a7a\u95f4\u8868\u793a&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            x <\/p>\n<p>             P <\/p>\n<p>             C <\/p>\n<p>           \u2208 <\/p>\n<p>            R <\/p>\n<p>            D <\/p>\n<p>          x_{PC} \\\\in \\\\mathbb{R}^D <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6891em;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: 0.3283em\"><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\">PC<\/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\">\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 mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff0c;\u8be5\u8fc7\u7a0b\u4e3a\u65e0\u635f\u53d8\u6362&#xff08;\u4fdd\u7559\u56fe\u50cf\u5168\u90e8\u4fe1\u606f&#xff0c;\u533a\u522b\u4e8e PCA \u964d\u7ef4&#xff09;&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u9006\u53d8\u6362\u51c6\u5907&#xff1a;\u901a\u8fc7<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           x <\/p>\n<p>           &#061; <\/p>\n<p>            x <\/p>\n<p>             P <\/p>\n<p>             C <\/p>\n<p>           \u22c5 <\/p>\n<p>            V <\/p>\n<p>            \u22a4 <\/p>\n<p>          x &#061; x_{PC} \\\\cdot V^\\\\top <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/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\">x<\/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\">PC<\/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><span class=\"base\"><span class=\"strut\" style=\"height: 0.8491em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><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\">\u22a4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u53ef\u5c06 PC \u7a7a\u95f4\u8868\u793a\u9006\u6295\u5f71\u56de\u50cf\u7d20\u7a7a\u95f4&#xff0c;\u4e3a\u540e\u7eed\u7f16\u7801\u5668\u8f93\u5165\u505a\u51c6\u5907\u3002<\/p>\n<\/li>\n<\/ul>\n<h4>\u6b65\u9aa4 2&#xff1a;\u57fa\u4e8e \u201c\u65b9\u5dee\u5360\u6bd4\u201d \u7684\u4e3b\u6210\u5206\u63a9\u7801\u8bbe\u8ba1<\/h4>\n<p>\u4f20\u7edf MAE \u4ee5\u201c\u50cf\u7d20\u5757\u6570\u91cf\u5360\u6bd4\u201d\u5b9a\u4e49\u63a9\u7801\u6bd4\u4f8b&#xff08;\u5982 75% \u5757\u63a9\u7801&#xff09;&#xff0c;\u4fe1\u606f\u542b\u91cf\u6a21\u7cca\u4e14\u6570\u636e\u96c6\u4f9d\u8d56\u6027\u5f3a&#xff1b;PMAE \u5219\u4ee5\u4e3b\u6210\u5206\u7684\u7d2f\u8ba1\u65b9\u5dee\u5360\u6bd4\u5b9a\u4e49\u63a9\u7801\u6bd4\u4f8b(r)&#xff0c;\u5373&#xff1a;<\/p>\n<ul>\n<li>\u63a9\u7801\u4e00\u7ec4\u4e3b\u6210\u5206&#xff0c;\u4f7f\u5176\u7d2f\u8ba1\u8d21\u732e\u6570\u636e\u603b\u65b9\u5dee\u7684(100r%)&#xff1b;<\/li>\n<li>\u5269\u4f59\u4e3b\u6210\u5206&#xff08;\u8d21\u732e(100(1 &#8211; r)%)\u65b9\u5dee&#xff09;\u4f5c\u4e3a\u201c\u53ef\u89c1\u6210\u5206\u201d&#xff0c;\u7528\u4e8e\u91cd\u5efa\u63a9\u7801\u6210\u5206\u3002<\/li>\n<\/ul>\n<p>\u65b9\u5dee\u5360\u6bd4\u76f4\u63a5\u5bf9\u5e94 \u201c\u4fe1\u606f\u91cd\u8981\u6027\u201d&#xff0c;\u53ef\u89e3\u91ca\u6027\u5f3a&#xff08;\u5982\u63a9\u7801 20% \u65b9\u5dee &#061; \u91cd\u5efa 20% \u5173\u952e\u4fe1\u606f&#xff09;&#xff0c;\u4e14\u65e0\u9700\u9488\u5bf9\u4e0d\u540c\u6570\u636e\u96c6\u5355\u72ec\u8c03\u4f18\u3002<\/p>\n<p>\u4e24\u79cd\u63a9\u7801\u7b56\u7565&#xff1a;<\/p>\n<h4>(1) PMAE_ocl&#xff08;Oracle \u6700\u4f18\u63a9\u7801&#xff09;<\/h4>\n<ul>\n<li>\u76ee\u6807&#xff1a;\u4e3a\u7279\u5b9a\u6570\u636e\u96c6\u627e\u5230\u6700\u4f18\u65b9\u5dee\u63a9\u7801\u6bd4\u4f8b(r_{opt})&#xff1b;<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u5728\u9a8c\u8bc1\u96c6\u4e0a\u901a\u8fc7\u201c\u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u201d\u641c\u7d22\u6700\u4f18(r)&#xff08;\u641c\u7d22\u8303\u56f4 10%-90%&#xff09;&#xff0c;\u6700\u7ec8\u53d1\u73b0\u591a\u6570\u6570\u636e\u96c6\u5728(r &#061; 20%)&#xff08;\u63a9\u7801 20%\u65b9\u5dee\u7684\u4e3b\u6210\u5206&#xff09;\u65f6\u6027\u80fd\u63a5\u8fd1\u6700\u4f18&#xff08;\u56fe 5 \u5e95\u90e8&#xff09;&#xff1b;<\/li>\n<li>\u793a\u4f8b&#xff1a;BloodMNIST \u6570\u636e\u96c6\u901a\u8fc7 Oracle \u641c\u7d22&#xff0c;\u786e\u5b9a(r_{opt} &#061; 15%)&#xff0c;\u5373\u63a9\u7801\u7d2f\u8ba1\u8d21\u732e 15%\u65b9\u5dee\u7684\u4e3b\u6210\u5206\u3002<\/li>\n<\/ul>\n<h4>(2) PMAE_rd&#xff08;\u968f\u673a\u5316\u63a9\u7801&#xff09;<\/h4>\n<ul>\n<li>\u76ee\u6807&#xff1a;\u65e0\u9700\u8d85\u53c2\u6570\u8c03\u4f18&#xff0c;\u9a8c\u8bc1\u65b9\u6cd5\u9c81\u68d2\u6027&#xff1b;<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u6bcf\u4e2a\u8bad\u7ec3\u6279\u6b21\u72ec\u7acb\u4ece\u533a\u95f4([0.1, 0.9])&#xff08;\u5373 10%-90%\u65b9\u5dee&#xff09;\u4e2d\u5747\u5300\u91c7\u6837\u63a9\u7801\u6bd4\u4f8b(r)&#xff0c;\u968f\u673a\u9009\u62e9\u5bf9\u5e94\u65b9\u5dee\u5360\u6bd4\u7684\u4e3b\u6210\u5206\u8fdb\u884c\u63a9\u7801&#xff1b;<\/li>\n<li>\u4f18\u52bf&#xff1a;\u5373\u4f7f\u4f7f\u7528\u5b50\u6700\u4f18(r)&#xff0c;\u4ecd\u80fd\u5728\u591a\u6570\u6570\u636e\u96c6\u4e0a\u8d85\u8d8a MAE \u7684\u6700\u4f18\u8c03\u4f18\u7ed3\u679c&#xff08;\u5982\u8868 1&#xff0c;PMAE_rd \u5728 BloodMNIST \u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u8fbe 90.0%&#xff0c;\u9ad8\u4e8e MAE_ocl \u7684 78.6%&#xff09;\u3002<\/li>\n<\/ul>\n<h4>\u6b65\u9aa4 3&#xff1a;PMAE \u6a21\u578b\u67b6\u6784&#xff08;\u9002\u914d PC \u7a7a\u95f4\u7684 ViT encoder-decoder&#xff09;<\/h4>\n<h4>1. \u7f16\u7801\u5668&#xff08;Encoder&#xff09;&#xff1a;\u5904\u7406\u201c\u53ef\u89c1\u6210\u5206\u7684\u50cf\u7d20\u7a7a\u95f4\u6620\u5c04\u201d<\/h4>\n<ul>\n<li>\n<p>\u8f93\u5165\u8f6c\u6362&#xff1a;\u5c06\u201c\u53ef\u89c1\u4e3b\u6210\u5206<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           m <\/p>\n<p>           \u2299 <\/p>\n<p>            x <\/p>\n<p>             P <\/p>\n<p>             C <\/p>\n<p>          m \\\\odot x_{PC} <\/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\">m<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2299<\/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: 0.3283em\"><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\">PC<\/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>\u201d\u901a\u8fc7 PCA \u9006\u53d8\u6362 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            t <\/p>\n<p>             \u2212 <\/p>\n<p>             1 <\/p>\n<p>           ( <\/p>\n<p>           \u22c5 <\/p>\n<p>           ) <\/p>\n<p>           &#061; <\/p>\n<p>           \u22c5 <\/p>\n<p>           \u22c5 <\/p>\n<p>            V <\/p>\n<p>            \u22a4 <\/p>\n<p>          t^{-1}(\\\\cdot) &#061; \\\\cdot \\\\cdot V^\\\\top <\/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=\"mord\"><span class=\"mord mathnormal\">t<\/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\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u22c5<\/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\">\u22c5<\/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: 0.8491em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><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\">\u22a4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6295\u5f71\u56de\u50cf\u7d20\u7a7a\u95f4&#xff0c;\u5f97\u5230\u201c\u5e73\u6ed1\u53ef\u89c1\u56fe\u50cf\u201d&#xff08;\u65e0\u4f20\u7edf MAE \u7684\u201c\u9ed1\u8272\u5757\u906e\u6321\u201d&#xff0c;\u5982\u56fe 1 \u5e95\u90e8&#xff09;&#xff1b;<\/p>\n<\/li>\n<li>\n<p>ViT \u7f16\u7801\u5668\u7ed3\u6784&#xff1a;\u91c7\u7528 ViT-Tiny&#xff08;ViT-T\/8&#xff09;&#xff0c;\u5373&#xff1a;<\/p>\n<ul>\n<li>\u56fe\u50cf\u5206\u5757&#xff1a;\u5c06\u9006\u6295\u5f71\u540e\u7684\u50cf\u7d20\u56fe\u50cf\u5212\u5206\u4e3a 8\u00d78 \u50cf\u7d20\u7684 patches&#xff08;\u5982 32\u00d732 \u56fe\u50cf\u5206 4\u00d74&#061;16 \u4e2a patch&#xff09;&#xff1b;<\/li>\n<li>\u5d4c\u5165\u5c42&#xff1a;\u6bcf\u4e2a patch \u901a\u8fc7\u7ebf\u6027\u5c42\u6620\u5c04\u4e3a 192 \u7ef4\u5d4c\u5165\u5411\u91cf&#xff08;hidden size&#061;192&#xff09;&#xff0c;\u5e76\u6dfb\u52a0\u4f4d\u7f6e\u5d4c\u5165&#xff08;\u6355\u6349\u7a7a\u95f4\u4f4d\u7f6e\u4fe1\u606f&#xff09;&#xff1b;<\/li>\n<li>\u7f16\u7801\u5668\u5c42&#xff1a;6 \u5c42 Transformer&#xff08;\u6ce8\u610f\u529b\u5934\u6570 &#061; 12&#xff0c;\u4e2d\u95f4\u5c42\u7ef4\u5ea6 &#061; 768&#xff09;&#xff0c;\u5904\u7406\u5d4c\u5165\u5411\u91cf\u540e\u8f93\u51fa\u5168\u5c40\u7279\u5f81&#xff08;\u4ee5 [CLS] token \u4f5c\u4e3a\u6700\u7ec8\u8868\u793a&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h4>2. \u89e3\u7801\u5668&#xff08;Decoder&#xff09;&#xff1a;\u91cd\u5efa\u201c\u63a9\u7801\u4e3b\u6210\u5206\u201d<\/h4>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u7f16\u7801\u5668\u8f93\u51fa\u7684 [CLS] token \u7279\u5f81 &#043; \u63a9\u7801\u6210\u5206\u7684\u4f4d\u7f6e\u5d4c\u5165&#xff08;\u4ec5\u9700\u63a9\u7801\u533a\u57df\u7684\u4f4d\u7f6e\u4fe1\u606f&#xff0c;\u964d\u4f4e\u8ba1\u7b97\u91cf&#xff09;&#xff1b;<\/li>\n<li>\u89e3\u7801\u5668\u7ed3\u6784&#xff1a;4 \u5c42 Transformer&#xff08;\u4e0e\u7f16\u7801\u5668\u53c2\u6570\u72ec\u7acb&#xff09;&#xff0c;\u8f93\u51fa\u7ef4\u5ea6\u4e0e\u201c\u63a9\u7801\u4e3b\u6210\u5206\u7684\u7ef4\u5ea6\u201d\u4e00\u81f4&#xff1b;<\/li>\n<li>PC \u7a7a\u95f4\u6295\u5f71&#xff1a;\u5c06\u89e3\u7801\u5668\u8f93\u51fa\u901a\u8fc7 PCA \u6b63\u5411\u53d8\u6362<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          t <\/p>\n<p>          ( <\/p>\n<p>          \u22c5 <\/p>\n<p>          ) <\/p>\n<p>          &#061; <\/p>\n<p>          \u22c5 <\/p>\n<p>          \u22c5 <\/p>\n<p>          V <\/p>\n<p>         t(\\\\cdot) &#061; \\\\cdot \\\\cdot V <\/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\">t<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u22c5<\/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\">\u22c5<\/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 mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><\/span><\/span><\/span><\/span>\u6620\u5c04\u56de PC \u7a7a\u95f4&#xff0c;\u5f97\u5230\u201c\u9884\u6d4b\u7684\u63a9\u7801\u4e3b\u6210\u5206\u201d\u3002<\/li>\n<\/ul>\n<h4>3. \u635f\u5931\u51fd\u6570&#xff1a;PC \u7a7a\u95f4\u7684 L2 \u635f\u5931<\/h4>\n<ul>\n<li>\u6838\u5fc3\u539f\u5219&#xff1a;\u4ec5\u60e9\u7f5a\u201c\u63a9\u7801\u6210\u5206\u201d\u7684\u91cd\u5efa\u8bef\u5dee&#xff0c;\u907f\u514d\u53ef\u89c1\u6210\u5206\u7684\u5197\u4f59\u7ea6\u675f&#xff1b;<\/li>\n<li>\u635f\u5931\u8ba1\u7b97&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            L <\/p>\n<p>             P <\/p>\n<p>             M <\/p>\n<p>             A <\/p>\n<p>             E <\/p>\n<p>           ( <\/p>\n<p>           x <\/p>\n<p>           , <\/p>\n<p>           m <\/p>\n<p>           ; <\/p>\n<p>           \u03b8 <\/p>\n<p>           , <\/p>\n<p>           \u03d5 <\/p>\n<p>           ) <\/p>\n<p>           &#061; <\/p>\n<p>             \u2225 <\/p>\n<p>             ( <\/p>\n<p>             1 <\/p>\n<p>             \u2212 <\/p>\n<p>             m <\/p>\n<p>             ) <\/p>\n<p>             \u2299 <\/p>\n<p>              [ <\/p>\n<p>              t <\/p>\n<p>              \u2218 <\/p>\n<p>               g <\/p>\n<p>               \u03b8 <\/p>\n<p>              \u2218 <\/p>\n<p>               f <\/p>\n<p>               \u03d5 <\/p>\n<p>              \u2218 <\/p>\n<p>               t <\/p>\n<p>                \u2212 <\/p>\n<p>                1 <\/p>\n<p>              ( <\/p>\n<p>              m <\/p>\n<p>              \u2299 <\/p>\n<p>              t <\/p>\n<p>              ( <\/p>\n<p>              x <\/p>\n<p>              ) <\/p>\n<p>              ) <\/p>\n<p>              \u2212 <\/p>\n<p>              t <\/p>\n<p>              ( <\/p>\n<p>              x <\/p>\n<p>              ) <\/p>\n<p>              ] <\/p>\n<p>             \u2225 <\/p>\n<p>            2 <\/p>\n<p>            2 <\/p>\n<p>          \\\\mathcal{L}_{PMAE}(x, m; \\\\theta, \\\\phi) &#061; \\\\left\\\\| (1 &#8211; m) \\\\odot \\\\left[ t \\\\circ g_\\\\theta \\\\circ f_\\\\phi \\\\circ t^{-1}(m \\\\odot t(x)) &#8211; t(x) \\\\right] \\\\right\\\\|_2^2 <\/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\"><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\">PM<\/span><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">E<\/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=\"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\">m<\/span><span class=\"mpunct\">;<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">\u03d5<\/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: 1.4678em;vertical-align: -0.3997em\"><\/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: 0.85em\"><span class=\"\" style=\"top: -2.85em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"\" style=\"width: 0.556em;height: 1.2em\"> <\/p>\n<p>                <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><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\">m<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2299<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2218<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/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: -0.0359em;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: 0.0278em\">\u03b8<\/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\">\u2218<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/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: -0.1076em;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 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\">\u2218<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/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\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2299<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">))<\/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\">t<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">]<\/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: 0.85em\"><span class=\"\" style=\"top: -2.85em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"\" style=\"width: 0.556em;height: 1.2em\"> <\/p>\n<p>                <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em\"><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: 1.0681em\"><span class=\"\" style=\"top: -2.3003em;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: -3.317em;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: 0.3997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5176\u4e2d&#xff1a; <\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             f <\/p>\n<p>             \u03d5 <\/p>\n<p>           f_\\\\phi <\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9805em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/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: -0.1076em;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 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>\u4e3a\u7f16\u7801\u5668&#xff08;\u53c2\u6570<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>&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>             g <\/p>\n<p>             \u03b8 <\/p>\n<p>           g_\\\\theta <\/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\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/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: -0.0359em;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: 0.0278em\">\u03b8<\/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>\u4e3a\u89e3\u7801\u5668&#xff08;\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            \u03b8 <\/p>\n<p>           \\\\theta <\/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: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            t <\/p>\n<p>            ( <\/p>\n<p>            x <\/p>\n<p>            ) <\/p>\n<p>            &#061; <\/p>\n<p>             x <\/p>\n<p>              P <\/p>\n<p>              C <\/p>\n<p>           t(x) &#061; x_{PC} <\/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\">t<\/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: 0.5806em;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: 0.3283em\"><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\">PC<\/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>&#xff08;PCA \u6b63\u5411\u53d8\u6362&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>             t <\/p>\n<p>              \u2212 <\/p>\n<p>              1 <\/p>\n<p>            ( <\/p>\n<p>            \u22c5 <\/p>\n<p>            ) <\/p>\n<p>           t^{-1}(\\\\cdot) <\/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=\"mord\"><span class=\"mord mathnormal\">t<\/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\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u22c5<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4e3a PCA \u9006\u53d8\u6362&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            ( <\/p>\n<p>            1 <\/p>\n<p>            \u2212 <\/p>\n<p>            m <\/p>\n<p>            ) <\/p>\n<p>            \u2299 <\/p>\n<p>            \u22c5 <\/p>\n<p>           (1 &#8211; m)\\\\odot \\\\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=\"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><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2299<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord\">\u22c5<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u4ec5\u5bf9\u63a9\u7801\u533a\u57df\u8ba1\u7b97\u8bef\u5dee&#xff0c;\u786e\u4fdd\u6a21\u578b\u805a\u7126\u4e8e\u201c\u7f3a\u5931\u7684\u5173\u952e\u4fe1\u606f\u201d\u91cd\u5efa\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100547-697f257bcfdc0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56fe4. \u4e3b\u63a9\u7801\u81ea\u7f16\u7801\u5668\u6982\u8ff0\u3002\u4e3b\u63a9\u7801\u81ea\u7f16\u7801\u5668&#xff08;PMAE&#xff09;\u4e0e\u666e\u901a\u63a9\u7801\u81ea\u7f16\u7801\u5668&#xff08;MAE&#xff09;&#xff08;He\u7b49\u4eba&#xff0c;2021&#xff09;\u7684\u4e0d\u540c\u4e4b\u5904\u5728\u4e8e&#xff0c;\u5b83\u5728\u4e3b\u6210\u5206\u7a7a\u95f4\u800c\u975e\u50cf\u7d20\u7a7a\u95f4\u4e2d\u6267\u884c\u63a9\u7801\u64cd\u4f5c\u3002\u53ef\u89c1\u7684\u4e3b\u6210\u5206\u968f\u540e\u88ab\u6295\u5f71\u56de\u89c2\u6d4b\u7a7a\u95f4&#xff0c;\u5e76\u4f5c\u4e3a\u89c6\u89c9Transformer&#xff08;ViT&#xff09;\u7f16\u7801\u5668-\u89e3\u7801\u5668\u67b6\u6784\u7684\u8f93\u5165\u3002\u88ab\u63a9\u7801\u7684\u4e3b\u6210\u5206\u5219\u4f5c\u4e3a\u91cd\u6784\u76ee\u6807<\/p>\n<h3>\u5b9e\u9a8c<\/h3>\n<li>\u6838\u5fc3\u6027\u80fd\u5bf9\u6bd4&#xff1a;PMAE vs MAE&#xff08;\u7ebf\u6027\u63a2\u6d4b&#xff09; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100548-697f257c60e05.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> PMAE\u5168\u9762\u8d85\u8d8a MAE&#xff1a;\u5e73\u5747\u6bd4 MAE \u9ad8 14 \u4e2a\u767e\u5206\u70b9&#xff08;38% \u76f8\u5bf9\u63d0\u5347&#xff09;&#xff0c;\u6bd4 MAE ocl\u9ad8 9.5 \u4e2a\u767e\u5206\u70b9&#xff08;20.3% \u76f8\u5bf9\u63d0\u5347&#xff09;&#xff1b;<\/li>\n<p>\u533b\u7597\u56fe\u50cf\u63d0\u5347\u6700\u663e\u8457&#xff0c;\u56e0\u533b\u7597\u56fe\u50cf\u5168\u5c40\u7279\u5f81&#xff08;\u5982\u7ec6\u80de\u7ed3\u6784\u3001\u75c5\u7406\u7eb9\u7406&#xff09;\u66f4\u4f9d\u8d56 PC \u7a7a\u95f4\u7684\u5168\u5c40\u8868\u793a&#xff1b;<\/p>\n<li>\u975e\u7ebf\u6027\u4e0e\u5fae\u8c03\u6027\u80fd\u9a8c\u8bc1 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100548-697f257c81ae5.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260201100548-697f257cbb5ee.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/li>\n<p>\u56fe5. \u63a9\u7801\u7387\u7684\u5f71\u54cd\u3002\u4e0d\u540c\u63a9\u7801\u7387\u4e0bMAE&#xff08;\u4e0a&#xff09;\u548cPMAE&#xff08;\u4e0b&#xff09;\u7684\u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u3002\u63a9\u7801\u7387\u662f\u4e00\u4e2a\u654f\u611f\u4e14\u4f9d\u8d56\u6570\u636e\u7684\u8d85\u53c2\u6570\u3002\u867d\u7136\u5f88\u96be\u4e3aMAE\u63d0\u53d6\u660e\u786e\u7684\u63a9\u7801\u6307\u5bfc\u539f\u5219&#xff0c;\u4f46\u5bf9\u4e8ePMAE&#xff0c;\u6211\u4eec\u89c2\u5bdf\u5230\u572820%\u7684\u6570\u636e\u65b9\u5dee\u88ab\u63a9\u7801\u65f6&#xff0c;\u5176\u5728\u5404\u4e2a\u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\u63a5\u8fd1\u6700\u4f18\u3002&#xff08;\u53f3&#xff09;\u5b66\u4e60\u66f2\u7ebf\u3002CIFAR10\u5206\u7c7b\u4efb\u52a1\u5728\u8bad\u7ec3\u8f6e\u6b21\u4e2d\u7684\u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u3002PMAE\u5728200\u8f6e\u540e\u8d85\u8fc7\u4e86MAE\u7684\u6700\u7ec8\u6027\u80fd<\/p>\n<p>\u4f20\u7edf MAE \u7684 \u201c\u50cf\u7d20\u5757\u63a9\u7801\u6bd4\u4f8b\u201d \u662f\u654f\u611f\u8d85\u53c2&#xff0c;\u800c PMAE \u7684 \u201c\u65b9\u5dee\u63a9\u7801\u6bd4\u4f8b\u201d \u66f4\u9c81\u68d2&#xff0c;\u7ed3\u679c\u5982\u56fe 5 \u6240\u793a&#xff1a;<\/p>\n<ul>\n<li>MAE&#xff08;\u56fe 5 \u9876\u90e8&#xff09;&#xff1a;\u6700\u4f18\u63a9\u7801\u6bd4\u4f8b\u968f\u6570\u636e\u96c6\u5267\u70c8\u6ce2\u52a8 \u2014\u2014CIFAR10 \u6700\u4f18\u7ea6 60%&#xff0c;TinyImageNet \u7ea6 50%&#xff0c;DermaMNIST \u7ea6 40%&#xff0c;\u65e0\u901a\u7528\u89c4\u5f8b&#xff0c;\u9700\u9010\u6570\u636e\u96c6\u8c03\u4f18&#xff1b;<\/li>\n<li>PMAE&#xff08;\u56fe 5 \u5e95\u90e8&#xff09;&#xff1a;\u6240\u6709\u6570\u636e\u96c6\u5728 \u201c20% \u65b9\u5dee\u63a9\u7801\u201d \u65f6\u63a5\u8fd1\u6700\u4f18 \u2014\u2014CIFAR10 \u8fbe 58%&#xff0c;BloodMNIST \u8fbe 95%&#xff0c;PathMNIST \u8fbe 96%&#xff0c;\u8d85\u53c2\u8303\u56f4 [10%-20%] \u5185\u6027\u80fd\u7a33\u5b9a&#xff0c;\u5927\u5e45\u964d\u4f4e\u5e94\u7528\u6210\u672c\u3002<\/li>\n<\/ul>\n<p>PMAE \u6536\u655b\u66f4\u5feb&#xff1a;\u8bad\u7ec3 200 epochs \u65f6&#xff0c;PMAE \u7684\u7ebf\u6027\u63a2\u6d4b\u51c6\u786e\u7387\u5df2\u8d85\u8d8a MAE \u8bad\u7ec3 800 epochs \u7684\u6700\u7ec8\u6027\u80fd&#xff08;CIFAR10&#xff1a;55% vs 50.7%&#xff09;&#xff1b; \u539f\u56e0&#xff1a;PC \u7a7a\u95f4\u63a9\u7801\u805a\u7126\u5168\u5c40\u9ad8\u5c42\u7279\u5f81&#xff0c;\u6a21\u578b\u65e0\u9700\u5b66\u4e60\u5197\u4f59\u5c40\u90e8\u4fe1\u606f&#xff0c;\u68af\u5ea6\u66f4\u65b0\u66f4\u9ad8\u6548\u3002<\/p>\n<p>\u7ed3\u8bba<\/p>\n<li>PC \u7a7a\u95f4\u63a9\u7801\u4f18\u4e8e\u50cf\u7d20\u7a7a\u95f4&#xff1a;PMAE \u901a\u8fc7 PCA \u5c06\u56fe\u50cf\u6620\u5c04\u5230\u5168\u5c40\u7279\u5f81\u7a7a\u95f4&#xff0c;\u907f\u514d MAE \u201c\u5c40\u90e8\u5197\u4f59\u201d\u201c\u8bed\u4e49\u4e22\u5931\u201d \u7684\u7f3a\u9677&#xff0c;\u4f7f\u8868\u793a\u66f4\u805a\u7126\u9ad8\u5c42\u7279\u5f81&#xff08;\u5982\u7269\u4f53\u7c7b\u522b\u3001\u75c5\u7406\u7ed3\u6784&#xff09;&#xff0c;\u5728 5 \u4e2a\u6570\u636e\u96c6\u4e0a\u5747\u5b9e\u73b0\u6027\u80fd\u63d0\u5347&#xff0c;\u5c24\u5176\u533b\u7597\u56fe\u50cf\u63d0\u5347\u663e\u8457&#xff08;\u5e73\u5747 &#043; 15 \u4e2a\u767e\u5206\u70b9&#xff09;\u3002<\/li>\n<li>\u65b9\u5dee\u63a9\u7801\u6bd4\u4f8b\u66f4\u9c81\u68d2\u3001\u53ef\u89e3\u91ca&#xff1a;\u4f20\u7edf MAE \u7684 \u201c\u50cf\u7d20\u5757\u6bd4\u4f8b\u201d \u9700\u9010\u6570\u636e\u96c6\u8c03\u4f18&#xff0c;\u800c PMAE \u7684 \u201c\u65b9\u5dee\u6bd4\u4f8b\u201d \u5728 [10%-20%] \u5185\u63a5\u8fd1\u6700\u4f18&#xff0c;\u4e14\u65b9\u5dee\u5360\u6bd4\u76f4\u63a5\u5bf9\u5e94 \u201c\u4fe1\u606f\u91cd\u8981\u6027\u201d&#xff08;\u5982 20% \u65b9\u5dee\u63a9\u7801 &#061; \u91cd\u5efa 20% \u5173\u952e\u4fe1\u606f&#xff09;&#xff0c;\u89e3\u51b3 MAE \u8d85\u53c2\u654f\u611f\u7684\u75db\u70b9\u3002<\/li>\n<li>PMAE \u6536\u655b\u66f4\u5feb\u3001\u901a\u7528\u6027\u5f3a&#xff1a;PMAE \u8bad\u7ec3 200 epochs \u5373\u53ef\u8d85\u8d8a MAE 800 epochs \u7684\u6027\u80fd&#xff0c;\u4e14\u517c\u5bb9\u7ebf\u6027 \/ \u975e\u7ebf\u6027 \/ \u5fae\u8c03\u591a\u79cd\u8bc4\u4f30\u573a\u666f&#xff1b;\u540c\u65f6&#xff0c;PC \u7a7a\u95f4\u7684\u5e73\u6ed1\u8f93\u5165\u9002\u914d\u5377\u79ef\u7f51\u7edc&#xff0c;\u7a81\u7834 MAE \u4ec5\u80fd\u4f7f\u7528 ViT \u7684\u5c40\u9650\u3002<\/li>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u76ee\u5f55 From Pixels to Components: Eigenvector Masking for Visual Representation Learning\u9884\u5907\u77e5\u8bc6\u521b\u65b0\u70b9\u65b9\u6cd5\u5b9e\u73b0\u6b65\u9aa4 1&#xff1a;\u6570\u636e\u9884\u5904\u7406\u4e0e PCA \u53d8\u63621.\u6570\u636e\u8f93\u5165\u4e0e\u6807\u51c6\u53162. \u5168\u7ef4\u5ea6 PCA \u53d8\u6362&#xff08;\u65e0\u635f\u6620\u5c04&#xff09;\u6b65\u9aa4 2&#xff1a;\u57fa\u4e8e \u201c\u65b9\u5dee\u5360\u6bd4\u201d \u7684\u4e3b\u6210\u5206\u63a9\u7801\u8bbe\u8ba1(1) PMAE_ocl&#xff08;Oracle \u6700\u4f18\u63a9\u7801&#xff09;(2) PM<\/p>\n","protected":false},"author":2,"featured_media":70256,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[587,371,207,427],"topic":[],"class_list":["post-70264","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-587","tag-371","tag-207","tag-427"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4ece\u50cf\u7d20\u5230\u7ec4\u4ef6\uff1a\u7528\u4e8e\u89c6\u89c9\u8868\u5f81\u5b66\u4e60\u7684\u7279\u5f81\u5411\u91cf\u63a9\u853d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/70264.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta 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