{"id":118584,"date":"2026-10-27T18:09:07","date_gmt":"2026-10-27T10:09:07","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/118584.html"},"modified":"2026-10-27T18:09:07","modified_gmt":"2026-10-27T10:09:07","slug":"icml-2026-mfh-nas%ef%bc%9a%e9%9d%a2%e5%90%91%e5%a4%9a%e6%a8%a1%e6%80%81%e8%9e%8d%e5%90%88%e7%9b%ae%e6%a0%87%e6%a3%80%e6%b5%8b%e7%9a%84%e6%b7%b7%e5%90%88%e7%a5%9e%e7%bb%8f%e6%9e%b6%e6%9e%84","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/118584.html","title":{"rendered":"ICML | 2026 | MFH\u2011NAS\uff1a\u9762\u5411\u591a\u6a21\u6001\u878d\u5408\u76ee\u6807\u68c0\u6d4b\u7684\u6df7\u5408\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u6846\u67b6"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>MFH\u2011NAS&#xff1a;\u9762\u5411\u591a\u6a21\u6001\u878d\u5408\u76ee\u6807\u68c0\u6d4b\u7684\u6df7\u5408\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u6846\u67b6<\/li>\n<li>\n<ul>\n<li>\u521b\u65b0\u70b9<\/li>\n<li>\n<ul>\n<li>0.1 \u95ee\u9898\u5f15\u5165<\/li>\n<li>0.2 \u672c\u6587\u8d21\u732e<\/li>\n<\/ul>\n<\/li>\n<li>\u65b9\u6cd5<\/li>\n<li>\n<ul>\n<li>3.1 \u878d\u5408\u67b6\u6784\u641c\u7d22\u7a7a\u95f4\u7684\u5b9a\u4e49<\/li>\n<li>3.2 \u53cc\u5c42\u641c\u7d22\u7b56\u7565\u8bbe\u8ba1<\/li>\n<li>\n<ul>\n<li>3.2.1 \u53ef\u5fae\u68af\u5ea6\u4e0b\u964d\u641c\u7d22\u9636\u6bb5<\/li>\n<li>3.2.2 \u8fdb\u5316\u7b97\u6cd5\u641c\u7d22\u9636\u6bb5<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>4 \u5b9e\u9a8c<\/li>\n<li>\n<ul>\n<li>4.1 \u5b9e\u9a8c\u7ec6\u8282<\/li>\n<li>4.2 \u5355\u878d\u5408\u65b9\u6cd5\u641c\u7d22\u5bf9\u6bd4\u5206\u6790<\/li>\n<li>4.3 \u591a\u878d\u5408\u65b9\u6cd5\u641c\u7d22\u5bf9\u6bd4\u5206\u6790<\/li>\n<li>4.4 \u6d88\u878d\u5b9e\u9a8c<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>MFH\u2011NAS&#xff1a;\u9762\u5411\u591a\u6a21\u6001\u878d\u5408\u76ee\u6807\u68c0\u6d4b\u7684\u6df7\u5408\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u6846\u67b6<\/h2>\n<ul>\n<li>\u8bba\u6587&#xff1a;https:\/\/openreview.net\/pdf?id&#061;FBcQKC3pLh<\/li>\n<li>\u4ee3\u7801&#xff1a;https:\/\/github.com\/someboy0\/MFH-NAS<\/li>\n<li>\u4f1a\u8bae&#xff1a;ICML<\/li>\n<li>\u5e74\u4efd&#xff1a;2026<\/li>\n<\/ul>\n<h3>\u521b\u65b0\u70b9<\/h3>\n<h4>0.1 \u95ee\u9898\u5f15\u5165<\/h4>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u591a\u6a21\u6001\u878d\u5408\u76ee\u6807\u68c0\u6d4b\u6574\u5408\u5f02\u6784\u4f20\u611f\u5668&#xff08;\u53ef\u89c1\u5149\u3001\u7ea2\u5916\u7b49&#xff09;\u91c7\u96c6\u7684\u4e92\u8865\u4fe1\u606f&#xff0c;\u5f80\u5f80\u80fd\u591f\u63d0\u5347\u68c0\u6d4b\u6027\u80fd\u3002\u8be5\u6280\u672f\u7684\u6838\u5fc3\u5728\u4e8e\u878d\u5408\u6a21\u5757\u7684\u8bbe\u8ba1\u4e0e\u878d\u5408\u9636\u6bb5\u7684\u9009\u53d6\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u7136\u800c\u73b0\u6709\u7edd\u5927\u591a\u6570\u591a\u6a21\u6001\u878d\u5408\u5de5\u4f5c\u91cd\u70b9\u653e\u5728\u878d\u5408\u6a21\u5757\u8bbe\u8ba1&#xff0c;\u5ffd\u89c6\u878d\u5408\u67b6\u6784\u7684\u63a2\u7d22\u3002\u5982\u56fe 1 \u6240\u793a&#xff0c;\u73b0\u6709\u591a\u6570\u591a\u6a21\u6001\u878d\u5408\u65b9\u6cd5\u91c7\u7528\u9884\u5b9a\u4e49\u3001\u9636\u6bb5\u5bf9\u9f50\u7684\u878d\u5408\u67b6\u6784&#xff0c;\u4e0d\u540c\u6a21\u6001\u7684\u7279\u5f81\u5728\u7279\u5b9a\u8bed\u4e49\u5c42\u7ea7\u5b8c\u6210\u5bf9\u9f50\u4e0e\u878d\u5408&#xff08;\u56fe 1 (a)(b)&#xff09;\u3002\u8fd9\u7c7b\u65b9\u6848\u65e2\u6ca1\u6709\u5bf9\u878d\u5408\u9636\u6bb5\u3001\u878d\u5408\u9636\u6bb5\u6570\u91cf\u505a\u7cfb\u7edf\u6027\u63a2\u7d22&#xff0c;\u8fd8\u5c06\u878d\u5408\u4ea4\u4e92\u9650\u5236\u5728\u9aa8\u5e72\u7f51\u7edc\u7684\u5bf9\u5e94\u9636\u6bb5&#xff0c;\u96be\u4ee5\u5145\u5206\u6316\u6398\u4e0d\u540c\u6a21\u6001\u8de8\u5c42\u7ea7\u7684\u8bed\u4e49\u4e92\u8865\u6027\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u56e0\u6b64\u4eba\u5de5\u8bbe\u8ba1\u65b9\u6848\u5f88\u96be\u540c\u65f6\u517c\u987e\u6548\u7387\u4e0e\u6700\u4f18\u6027<\/p>\n<p>       \\\\boxed{\u56e0\u6b64\u4eba\u5de5\u8bbe\u8ba1\u65b9\u6848\u5f88\u96be\u540c\u65f6\u517c\u987e\u6548\u7387\u4e0e\u6700\u4f18\u6027}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3633em;vertical-align: -0.34em\"><\/span><span class=\"mord\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0233em\"><span class=\"\" style=\"top: -3.3633em\"><span class=\"pstrut\" style=\"height: 3.3633em\"><\/span><span class=\"boxpad\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord cjk_fallback\">\u56e0\u6b64\u4eba\u5de5\u8bbe\u8ba1\u65b9\u6848\u5f88\u96be\u540c\u65f6\u517c\u987e\u6548\u7387\u4e0e\u6700\u4f18\u6027<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.0233em\"><span class=\"pstrut\" style=\"height: 3.3633em\"><\/span><span class=\"stretchy fbox\" style=\"height: 1.3633em;border-style: solid;border-width: 0.04em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.34em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100904-6ae078401e29c.png\" alt=\"\" \/><\/p>\n<p>\u56fe 1&#xff1a;\u4e09\u79cd\u878d\u5408\u67b6\u6784\u3002(a)(b) \u4e3a\u5bf9\u79f0\u878d\u5408\u67b6\u6784&#xff1a;(a) \u5728\u7279\u5f81\u63d0\u53d6\u7684\u6bcf\u4e00\u4e2a\u9636\u6bb5\u90fd\u6267\u884c\u878d\u5408&#xff1b;(b) \u4ec5\u5728\u7279\u5f81\u63d0\u53d6\u4e2d\u95f4\u9636\u6bb5\u505a\u878d\u5408&#xff1b;( c ) \u662f\u975e\u5bf9\u79f0\u878d\u5408\u67b6\u6784&#xff0c;\u5b9e\u73b0\u8de8\u6a21\u6001\u4e0d\u540c\u5c42\u7279\u5f81\u878d\u5408\u3002\u9ec4\u8272\u3001\u7c89\u8272\u3001\u84dd\u8272\u5757\u5206\u522b\u4ee3\u8868\u53ef\u89c1\u5149\u3001\u7ea2\u5916\u3001\u878d\u5408\u7279\u5f81\u5904\u7406\u9636\u6bb5&#xff1b;F \u4ee3\u8868\u878d\u5408\u64cd\u4f5c&#xff1b;N&amp;H \u4ee3\u8868\u9888\u90e8\u7f51\u7edc\u4e0e\u68c0\u6d4b\u5934\u3002<\/p>\n<h4>0.2 \u672c\u6587\u8d21\u732e<\/h4>\n<p>\u672c\u6587\u4e3b\u8981\u8d21\u732e\u603b\u7ed3\u5982\u4e0b&#xff1a;<\/p>\n<li>\u8bbe\u8ba1\u95e8\u63a7\u878d\u5408\u7b56\u7565\u9009\u62e9\u5668&#xff08;GFS&#xff09;&#xff0c;\u80fd\u591f\u81ea\u9002\u5e94\u5224\u65ad\u540c\u4e00\u9636\u6bb5\u591a\u6a21\u6001\u7279\u5f81\u662f\u5426\u6267\u884c\u878d\u5408&#xff0c;\u5e76\u9009\u62e9\u5408\u9002\u7684\u878d\u5408\u7b56\u7565\u3002<\/li>\n<li>\u63d0\u51fa\u6df7\u5408\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u6846\u67b6&#xff0c;\u6df1\u5ea6\u878d\u5408\u53ef\u5fae\u641c\u7d22\u7684\u5feb\u901f\u6536\u655b\u7279\u6027\u4e0e\u8fdb\u5316\u7b97\u6cd5\u5f3a\u5927\u7684\u5168\u5c40\u9c81\u68d2\u6027\u3002<\/li>\n<li>\u663e\u8457\u63d0\u5347\u591a\u6a21\u6001\u76ee\u6807\u68c0\u6d4b\u6027\u80fd\u3002\u5728 LLVIP\u3001RGBT\u2011Tiny\u3001M3FD \u6570\u636e\u96c6\u4e0a\u5b9e\u9a8c\u8868\u660e&#xff0c;MFH\u2011NAS \u4f18\u4e8e\u4eba\u5de5\u8bbe\u8ba1\u7684\u878d\u5408\u9636\u6bb5\u65b9\u6848\u4ee5\u53ca\u73b0\u6709\u7684\u9636\u6bb5\u641c\u7d22 NAS \u57fa\u7ebf\u65b9\u6cd5\u3002<\/li>\n<h3>\u65b9\u6cd5<\/h3>\n<p>\u672c\u6587\u63d0\u51fa MFH\u2011NAS \u6df7\u5408\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u6846\u67b6&#xff0c;\u81ea\u52a8\u8bbe\u8ba1\u9762\u5411\u76ee\u6807\u68c0\u6d4b\u7684\u591a\u6a21\u6001\u878d\u5408\u67b6\u6784\u3002\u5982\u56fe 2&#xff0c;MFH\u2011NAS \u5305\u542b\u56db\u9636\u6bb5\u6d41\u6c34\u7ebf&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100904-6ae0784089512.png\" alt=\"\" \/><\/p>\n<p>\u56fe 2&#xff1a;MFH\u2011NAS \u603b\u89c8&#xff0c;\u56db\u9636\u6bb5\u6d41\u6c34\u7ebf\u7ed3\u5408\u53ef\u5fae\u641c\u7d22\u4e0e\u8fdb\u5316\u641c\u7d22\u3002<\/p>\n<ul>\n<li>\u7b2c\u96f6\u9636\u6bb5&#xff08;\u6d45\u7eff\u8272&#xff09;&#xff1a;\u5b9a\u4e49\u878d\u5408\u67b6\u6784\u641c\u7d22\u7a7a\u95f4&#xff0c;\u521d\u59cb\u5316\u67b6\u6784\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         \u03b1<\/p>\n<p>        \\\\alpha<\/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><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b2<\/p>\n<p>        \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u9001\u5165\u9636\u6bb5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         I<\/p>\n<p>        \\\\textbf{I}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord text\"><span class=\"mord textbf\">I<\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u9636\u6bb5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         I<\/p>\n<p>        \\\\textbf{I}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord text\"><span class=\"mord textbf\">I<\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u6d45\u7d2b\u8272&#xff09;&#xff1a;\u6267\u884c\u53ef\u5fae\u641c\u7d22&#xff0c;\u5728\u8d85\u7f51\u7edc\u5185\u56fa\u5b9a\u8f6e\u6570\u4f18\u5316<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>        \\\\alpha<\/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><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b2<\/p>\n<p>        \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8f93\u51fa\u66f4\u65b0\u540e\u7684\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b1<\/p>\n<p>          \u2032<\/p>\n<p>        \\\\alpha&#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: 0.0037em\">\u03b1<\/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>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b2<\/p>\n<p>          \u2032<\/p>\n<p>        \\\\beta&#039;<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9463em;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: 0.7519em\"><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>\u3002<\/li>\n<li>\u9636\u6bb5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         II<\/p>\n<p>        \\\\textbf{II}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord text\"><span class=\"mord textbf\">II<\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u6d45\u9752\u8272&#xff09;&#xff1a;\u4ee5\u9636\u6bb5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         I<\/p>\n<p>        \\\\textbf{I}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord text\"><span class=\"mord textbf\">I<\/span><\/span><\/span><\/span><\/span><\/span>\u8f93\u51fa\u53c2\u6570\u4e3a\u79cd\u5b50&#xff0c;\u8fdb\u5316\u7b97\u6cd5\u9488\u5bf9\u9636\u6bb5\u7ea7\u8fde\u63a5\u5173\u7cfb\u3001\u7b97\u5b50\u914d\u7f6e\u505a\u79cd\u7fa4\u5c42\u9762\u63a2\u7d22&#xff1b;\u8fdb\u5316\u5f97\u5230\u6700\u4f18\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b1<\/p>\n<p>           \u2032<\/p>\n<p>           \u2032<\/p>\n<p>        \\\\alpha&#039;&#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: 0.0037em\">\u03b1<\/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\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b2<\/p>\n<p>           \u2032<\/p>\n<p>           \u2032<\/p>\n<p>        \\\\beta&#039;&#039;<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9463em;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: 0.7519em\"><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\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u53cd\u9988\u56de\u9636\u6bb5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         I<\/p>\n<p>        \\\\textbf{I}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord text\"><span class=\"mord textbf\">I<\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f62\u6210\u4ea4\u66ff\u4f18\u5316\u5faa\u73af&#xff0c;\u5faa\u73af<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>\u8f6e\u3002<\/li>\n<li>\u9636\u6bb5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         III<\/p>\n<p>        \\\\textbf{III}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord text\"><span class=\"mord textbf\">III<\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u6d45\u84dd\u8272&#xff09;&#xff1a;\u6536\u655b\u4ee5\u540e\u4f7f\u7528\u6700\u7ec8\u67b6\u6784\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b1<\/p>\n<p>          \u02c9<\/p>\n<p>        \\\\bar{\\\\alpha}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5678em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.5678em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/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\">\u02c9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b2<\/p>\n<p>          \u02c9<\/p>\n<p>        \\\\bar{\\\\beta}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0257em;vertical-align: -0.1944em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8312em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><\/span><span class=\"\" style=\"top: -3.2634em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><span class=\"mord\">\u02c9<\/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>\u5b9e\u4f8b\u5316\u641c\u7d22\u5f97\u5230\u7684\u67b6\u6784&#xff0c;\u91cd\u65b0\u8bad\u7ec3\u5f97\u5230\u6700\u7ec8\u68c0\u6d4b\u6a21\u578b\u3002<\/li>\n<\/ul>\n<h4>3.1 \u878d\u5408\u67b6\u6784\u641c\u7d22\u7a7a\u95f4\u7684\u5b9a\u4e49<\/h4>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u5982\u56fe 2 \u7eff\u8272\u533a\u57df&#xff0c;\u878d\u5408\u67b6\u6784\u5305\u542b\u4e09\u6761\u5e76\u884c\u5206\u652f&#xff1a;\u4e24\u4e2a\u6a21\u6001\u4e13\u5c5e\u9aa8\u5e72\u7f51\u7edc\u5206\u522b\u63d0\u53d6\u53ef\u89c1\u5149\u3001\u7ea2\u5916\u5206\u9636\u6bb5\u7279\u5f81&#xff1b;\u4e00\u6761\u878d\u5408\u5206\u652f\u6574\u5408\u8de8\u9636\u6bb5\u591a\u5c42\u4fe1\u606f\u3002\u9ec4\u8272\u5757\u4ee3\u8868\u53ef\u89c1\u5149\u4e2d\u95f4\u7279\u5f81&#xff0c;\u7c89\u8272\u5757\u4ee3\u8868\u7ea2\u5916\u4e2d\u95f4\u7279\u5f81&#xff1b;\u878d\u5408\u5206\u652f\u662f\u67b6\u6784\u6838\u5fc3&#xff0c;\u7531\u95e8\u63a7\u878d\u5408\u7b56\u7565&#xff08;GFS&#xff09;\u9009\u62e9\u5668&#xff08;\u84dd\u8272\u5706\u5708 G&#xff09;\u6784\u6210&#xff1b;\u6a59\u8272\u5757\u8868\u793a\u878d\u5408\u540e\u7279\u5f81\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100904-6ae07840dfda4.png\" alt=\"\" \/><\/p>\n<p>\u56fe 3&#xff1a;\u95e8\u63a7\u878d\u5408\u7b56\u7565 (GFS) \u6a21\u5757\u67b6\u6784\u3002<\/p>\n<p>\u6211\u4eec\u5b9a\u4e49\u7684\u878d\u5408\u67b6\u6784\u641c\u7d22\u7a7a\u95f4\u5305\u542b\u4e24\u7c7b\u53ef\u641c\u7d22\u5355\u5143&#xff0c;\u5171\u540c\u51b3\u5b9a\u8de8\u6a21\u6001\u4ea4\u4e92\u53d1\u751f\u7684\u4f4d\u7f6e\u4e0e\u65b9\u5f0f\u3002<\/p>\n<li>\u878d\u5408\u9636\u6bb5\u9009\u62e9&#xff1a;\u7279\u5f81\u63d0\u53d6\u6d41\u7a0b\u5206\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         n<\/p>\n<p>        n<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span>\u4e2a\u9636\u6bb5&#xff0c;\u989d\u5916\u5305\u542b\u8f93\u5165\u5c42&#xff0c;\u5171\u8ba1<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         n<\/p>\n<p>         &#043;<\/p>\n<p>         1<\/p>\n<p>        n&#043;1<\/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\">&#043;<\/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>\u4e2a\u5019\u9009\u878d\u5408\u70b9\u3002\u6bcf\u4e2a\u5019\u9009\u70b9\u505a\u4e8c\u5143\u51b3\u7b56&#xff1a;\u662f\u5426\u5411\u5206\u652f\u6ce8\u5165\u7279\u5f81\u3002\u4e00\u5171\u4ea7\u751f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          2<\/p>\n<p>           n<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>        2^{n&#043;1}<\/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\">2<\/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 mathnormal mtight\">n<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u79cd\u9636\u6bb5\u8fde\u63a5\u65b9\u5f0f&#xff1b;\u6392\u9664\u5168\u90e8\u4e0d\u6ce8\u5165\u7279\u5f81\u7684\u65e0\u6548\u6a21\u5f0f&#xff0c;\u6709\u6548\u65b9\u6848\u6570\u91cf\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          2<\/p>\n<p>           n<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>         \u2212<\/p>\n<p>         1<\/p>\n<p>        2^{n&#043;1}-1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/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 mathnormal mtight\">n<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/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: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u878d\u5408\u65b9\u6cd5\u9009\u62e9&#xff1a;\u5728GFS \u6a21\u5757\u5185\u90e8\u5b9e\u73b0\u3002\u5982\u56fe 3&#xff0c;GFS \u63d0\u4f9bm\u4e2a\u5019\u9009\u5bf9\u79f0\u878d\u5408\u7b97\u5b50<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         {<\/p>\n<p>          O<\/p>\n<p>          i<\/p>\n<p>          }<\/p>\n<p>           i<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>          m<\/p>\n<p>        \\\\{O_i\\\\}_{i&#061;1}^{m}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0087em;vertical-align: -0.2587em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/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: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">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 class=\"mclose\"><span class=\"mclose\">}<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -2.4413em;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\">i<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><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\">m<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2587em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f15\u5165\u53ef\u5b66\u4e60\u67b6\u6784\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>         &#061;<\/p>\n<p>         {<\/p>\n<p>          \u03b1<\/p>\n<p>          i<\/p>\n<p>          }<\/p>\n<p>           i<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>          m<\/p>\n<p>        \\\\alpha&#061;\\\\{\\\\alpha_i\\\\}_{i&#061;1}^{m}<\/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: 1.0087em;vertical-align: -0.2587em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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 class=\"mclose\"><span class=\"mclose\">}<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -2.4413em;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\">i<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><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\">m<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2587em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b2<\/p>\n<p>        \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u3002\u7ecf\u8fc7softmax\u5f52\u4e00\u5316\u7684<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>        \\\\alpha<\/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><\/span><\/span><\/span>\u4e3a\u5019\u9009\u7b97\u5b50\u5206\u914d\u6743\u91cd&#xff0c;\u6784\u6210\u53ef\u8c13\u6df7\u5408\u8f93\u51fa&#xff1b;\u7ecf\u8fc7sigmoid\u6fc0\u6d3b\u7684\u95e8\u63a7\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b2<\/p>\n<p>        \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u63a7\u5236\u5f53\u524d\u9636\u6bb5GFS\u6a21\u5757\u662f\u5426\u53c2\u4e0e\u8fd0\u7b97\u3002<\/li>\n<p>\u56fe 4 \u5217\u4e3e\u4e0d\u540c\u8f93\u5165\u6761\u4ef6\u4e0b GFS \u7684 7 \u79cd\u5de5\u4f5c\u6a21\u5f0f\u3002\u5047\u8bbe\u878d\u5408\u5728\u7b2c<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>\u9636\u6bb5\u5f00\u542f&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100905-6ae078410781e.png\" alt=\"\" \/><\/p>\n<p>\u56fe 4&#xff1a;\u4e0d\u540c\u9636\u6bb5\u8f93\u5165\u6761\u4ef6\u4e0b GFS \u7684 7 \u79cd\u5de5\u4f5c\u6a21\u5f0f\u3002<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\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>\u9636\u6bb5&#xff1a;GFS\u53ef\u4ee5\u5bf9\u53ef\u89c1\u5149\u7279\u5f81<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>          k<\/p>\n<p>          v<\/p>\n<p>        L_{k}^v<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9664em;vertical-align: -0.2831em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -2.4169em;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: 0.0315em\">k<\/span><\/span><\/span><\/span><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: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u7ea2\u5916\u7279\u5f81<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>          k<\/p>\n<p>          i<\/p>\n<p>        L_k^i<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1078em;vertical-align: -0.2831em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -2.4169em;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: 0.0315em\">k<\/span><\/span><\/span><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\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6267\u884c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\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>\u79cd\u878d\u5408\u7b97\u5b50\u4e4b\u4e00&#xff1b;\u4e5f\u53ef\u4ee5\u76f4\u63a5\u8f6c\u53d1\u53ef\u89c1\u5149\/\u7ea2\u5916\u7279\u5f81&#xff0c;\u8df3\u8fc7\u878d\u5408&#xff0c;\u4e00\u5171<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         m<\/p>\n<p>         &#043;<\/p>\n<p>         2<\/p>\n<p>        m&#043;2<\/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\">&#043;<\/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\">2<\/span><\/span><\/span><\/span><\/span>\u79cd\u9009\u62e9\u3002<\/li>\n<li>\u540e\u7eed<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         k<\/p>\n<p>         &#043;<\/p>\n<p>         1<\/p>\n<p>        k&#043;1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/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: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u9636\u6bb5&#xff1a;\u6a21\u5757\u989d\u5916\u63a5\u6536\u4e0a\u4e00\u6b65\u878d\u5408\u8f93\u51fa\u7279\u5f81<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>          k<\/p>\n<p>          f<\/p>\n<p>        L_k^f<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.2683em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.967em\"><span class=\"\" style=\"top: -2.3987em;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: 0.0315em\">k<\/span><\/span><\/span><span class=\"\" style=\"top: -3.1809em;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: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ea7\u751f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          m<\/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: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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>\u79cd\u4e24\u6b65\u878d\u5408\u9009\u62e9\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         2<\/p>\n<p>         m<\/p>\n<p>        2m<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">m<\/span><\/span><\/span><\/span><\/span>\u79cd\u5355\u5206\u652f\u878d\u5408\u9009\u62e9\u30011\u79cd\u8df3\u8fc7\u9009\u62e9&#xff0c;\u603b\u8ba1<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          m<\/p>\n<p>          2<\/p>\n<p>         &#043;<\/p>\n<p>         2<\/p>\n<p>         m<\/p>\n<p>         &#043;<\/p>\n<p>         1<\/p>\n<p>        m^2&#043;2m&#043;1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">m<\/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: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u79cd\u878d\u5408\u6a21\u5f0f\u3002<\/li>\n<\/ul>\n<p>\u7ed9\u5b9a<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: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span>\u4e2a\u5019\u9009\u9636\u6bb5&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\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\u5019\u9009\u878d\u5408\u7b97\u5b50&#xff0c;\u641c\u7d22\u7a7a\u95f4\u6574\u4f53\u89c4\u6a21&#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>             \u2211<\/p>\n<p>              k<\/p>\n<p>              &#061;<\/p>\n<p>              1<\/p>\n<p>             n<\/p>\n<p>            (<\/p>\n<p>            m<\/p>\n<p>            &#043;<\/p>\n<p>            2<\/p>\n<p>            )<\/p>\n<p>              (<\/p>\n<p>               m<\/p>\n<p>               2<\/p>\n<p>              &#043;<\/p>\n<p>              2<\/p>\n<p>              m<\/p>\n<p>              &#043;<\/p>\n<p>              1<\/p>\n<p>              )<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              k<\/p>\n<p>           (1)<\/p>\n<p>         S&#061;\\\\sum_{k&#061;1}^n(m&#043;2)\\\\left(m^2&#043;2m&#043;1\\\\right)^{n-k}\\\\tag{1} <\/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: 0.0576em\">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: 2.9535em;vertical-align: -1.3021em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.6514em\"><span class=\"\" style=\"top: -1.8479em;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: 0.0315em\">k<\/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 mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3021em\"><span class=\"\"><\/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\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.4531em;vertical-align: -0.35em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/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 size1\">(<\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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 class=\"mord\">2<\/span><span class=\"mord mathnormal\">m<\/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 class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1031em\"><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\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"tag\"><span class=\"strut\" style=\"height: 2.9535em;vertical-align: -1.3021em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u672c\u6587\u8bbe\u7f6e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>        &#061;<\/p>\n<p>        6<\/p>\n<p>       n&#061;6<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/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\">6<\/span><\/span><\/span><\/span><\/span>\u4e2d\u95f4\u7279\u5f81\u63d0\u53d6\u9636\u6bb5&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        m<\/p>\n<p>        &#061;<\/p>\n<p>        8<\/p>\n<p>       m&#061;8<\/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 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\">8<\/span><\/span><\/span><\/span><\/span>\u5019\u9009\u878d\u5408\u7b97\u5b50&#xff0c;\u641c\u7d22\u7a7a\u95f4\u89c4\u6a21<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        S<\/p>\n<p>        &#061;<\/p>\n<p>        3.53<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>         10<\/p>\n<p>       S&#061;3.53\\\\times10^{10}<\/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: 0.0576em\">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: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3.53<\/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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u79cd\u67b6\u6784\u3002\u53ef\u89c1\u968f\u7740\u878d\u5408\u65b9\u6cd5\u3001\u9636\u6bb5\u6570\u91cf\u589e\u52a0&#xff0c;\u7f51\u7edc\u67b6\u6784\u641c\u7d22\u7a7a\u95f4\u6307\u6570\u7ea7\u81a8\u80c0&#xff0c;\u8fbe\u5230\u767e\u4ebf\u89c4\u6a21\u3002\u4f9d\u9760\u7a77\u4e3e\u641c\u7d22\u6216\u8005\u7f3a\u5c11\u7406\u8bba\u5f15\u5bfc\u7684 NAS \u4f1a\u5e26\u6765\u5de8\u5927\u8ba1\u7b97\u5f00\u9500&#xff0c;\u65e0\u6cd5\u5728\u5408\u7406\u65f6\u95f4\u5185\u5b8c\u6210\u6709\u6548\u641c\u7d22&#xff0c;\u5b9e\u7528\u6027\u5dee\u3002\u56e0\u6b64\u5fc5\u987b\u8bbe\u8ba1\u9ad8\u6548\u641c\u7d22\u7b56\u7565\u3002<\/p>\n<h4>3.2 \u53cc\u5c42\u641c\u7d22\u7b56\u7565\u8bbe\u8ba1<\/h4>\n<h5>3.2.1 \u53ef\u5fae\u68af\u5ea6\u4e0b\u964d\u641c\u7d22\u9636\u6bb5<\/h5>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u7b2c\u4e00\u9636\u6bb5\u91c7\u7528\u53ef\u5fae NAS (Liu \u7b49\u4eba&#xff0c;2018) \u5b9e\u73b0\u5feb\u901f\u4f18\u5316\u3002\u6bcf\u4e2a GFS \u89c6\u4e3a\u72ec\u7acb\u641c\u7d22\u5355\u5143\u3002\u56fe3\u79cd\u5171\u6709<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\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>\u79cd\u53ef\u9009\u878d\u5408\u65b9\u6cd5&#xff0c;\u6bcf\u79cd\u7b97\u5b50\u5bf9\u5e94\u53ef\u5b66\u4e60\u6743\u91cd<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>         i<\/p>\n<p>       \\\\alpha_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: 0.0037em\">\u03b1<\/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: -0.0037em;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>\u3002\u5bf9<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>         i<\/p>\n<p>       \\\\alpha_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: 0.0037em\">\u03b1<\/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: -0.0037em;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>\u505asoftmax\u5f52\u4e00\u5316&#xff0c;\u5f97\u5230\u5404\u4e2a\u64cd\u4f5c\u7684\u6743\u91cd\u7cfb\u6570\u3002\u878d\u5408\u6a21\u5757\u6700\u7ec8\u8f93\u51fa\u4e3a\u5168\u90e8\u5019\u9009\u64cd\u4f5c\u7684\u52a0\u6743\u6c42\u548c\u3002GFS \u6a21\u5757\u8f93\u51fa\u5b9a\u4e49&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            f<\/p>\n<p>            (<\/p>\n<p>             x<\/p>\n<p>              v<\/p>\n<p>              i<\/p>\n<p>              s<\/p>\n<p>            ,<\/p>\n<p>             x<\/p>\n<p>              i<\/p>\n<p>              r<\/p>\n<p>            )<\/p>\n<p>            &#061;<\/p>\n<p>             \u2211<\/p>\n<p>              i<\/p>\n<p>              &#061;<\/p>\n<p>              1<\/p>\n<p>             m<\/p>\n<p>            softmax<\/p>\n<p>            (<\/p>\n<p>             \u03b1<\/p>\n<p>             i<\/p>\n<p>            )<\/p>\n<p>            \u22c5<\/p>\n<p>             O<\/p>\n<p>             i<\/p>\n<p>            (<\/p>\n<p>             x<\/p>\n<p>              v<\/p>\n<p>              i<\/p>\n<p>              s<\/p>\n<p>            ,<\/p>\n<p>             x<\/p>\n<p>              i<\/p>\n<p>              r<\/p>\n<p>            )<\/p>\n<p>           (2)<\/p>\n<p>         f(x_{vis},x_{ir})&#061;\\\\sum_{i&#061;1}^{m}\\\\text{softmax}(\\\\alpha_i)\\\\cdot O_{i}(x_{vis},x_{ir})\\\\tag{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\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/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: 0.3117em\"><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: 0.0359em\">v<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/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=\"mpunct\">,<\/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: 0.3117em\"><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\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/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 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: 2.9291em;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: 1.6514em\"><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\">m<\/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=\"mord text\"><span class=\"mord\">softmax<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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 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><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/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: -0.0278em;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\">i<\/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\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><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: 0.0359em\">v<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/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=\"mpunct\">,<\/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: 0.3117em\"><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\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/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 class=\"tag\"><span class=\"strut\" style=\"height: 2.9291em;vertical-align: -1.2777em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         O<\/p>\n<p>         i<\/p>\n<p>        (<\/p>\n<p>         x<\/p>\n<p>          v<\/p>\n<p>          i<\/p>\n<p>          s<\/p>\n<p>        ,<\/p>\n<p>         x<\/p>\n<p>          i<\/p>\n<p>          r<\/p>\n<p>        )<\/p>\n<p>       O_i(x_{vis},x_{ir})<\/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: 0.0278em\">O<\/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: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">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 class=\"mopen\">(<\/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: 0.3117em\"><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: 0.0359em\">v<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/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=\"mpunct\">,<\/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: 0.3117em\"><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\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/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>\u662f\u7b2c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        i<\/p>\n<p>       i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span>\u79cd\u878d\u5408\u65b9\u6cd5\u4f5c\u7528\u4e8e\u591a\u6a21\u6001\u8f93\u5165\u7279\u5f81<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>          v<\/p>\n<p>          i<\/p>\n<p>          s<\/p>\n<p>        ,<\/p>\n<p>         x<\/p>\n<p>          i<\/p>\n<p>          r<\/p>\n<p>       x_{vis},x_{ir}<\/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\">x<\/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: 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: 0.0359em\">v<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/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=\"mpunct\">,<\/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: 0.3117em\"><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\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/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>\u7684\u8f93\u51fa&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>         i<\/p>\n<p>       \\\\alpha_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: 0.0037em\">\u03b1<\/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: -0.0037em;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\u7b2c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        i<\/p>\n<p>       i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span>\u4e2a\u878d\u5408\u64cd\u4f5c\u7684\u53ef\u5b66\u4e60\u6743\u91cd\u3002\u516c\u5f0f (2) \u5c06\u79bb\u6563\u7684\u878d\u5408\u65b9\u6cd5\u641c\u7d22\u7a7a\u95f4\u677e\u5f1b\u4e3a\u8fde\u7eed\u53ef\u5fae\u7a7a\u95f4\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u53e6\u5916\u5f15\u5165\u79d1\u5b66\u7cfb\u63a7\u5236\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>&#xff0c;sigmoid\u6fc0\u6d3b\u51fd\u6570\u8f93\u51fa\u63a7\u5236GFS\u6a21\u5757\u662f\u5426\u542f\u7528&#xff1b;\u8f93\u51fa\u8d8a\u63a5\u8fd11&#xff0c;\u542f\u7528\u6982\u7387\u8d8a\u9ad8&#xff1b;\u8d8a\u63a5\u8fd1 0&#xff0c;\u8d8a\u503e\u5411\u8df3\u8fc7\u8be5\u6a21\u5757\u3002\u6700\u7ec8\u878d\u5408\u8f93\u51fa&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            g<\/p>\n<p>            (<\/p>\n<p>             x<\/p>\n<p>              v<\/p>\n<p>              i<\/p>\n<p>              s<\/p>\n<p>            ,<\/p>\n<p>             x<\/p>\n<p>              i<\/p>\n<p>              r<\/p>\n<p>            )<\/p>\n<p>            &#061;<\/p>\n<p>            sigmoid<\/p>\n<p>            (<\/p>\n<p>            \u03b2<\/p>\n<p>            )<\/p>\n<p>            \u22c5<\/p>\n<p>            f<\/p>\n<p>            (<\/p>\n<p>             x<\/p>\n<p>              v<\/p>\n<p>              i<\/p>\n<p>              s<\/p>\n<p>            ,<\/p>\n<p>             x<\/p>\n<p>              i<\/p>\n<p>              r<\/p>\n<p>            )<\/p>\n<p>           (3)<\/p>\n<p>         g(x_{vis},x_{ir})&#061;\\\\text{sigmoid}(\\\\beta)\\\\cdot f(x_{vis},x_{ir})\\\\tag{3} <\/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: 0.0359em\">g<\/span><span class=\"mopen\">(<\/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: 0.3117em\"><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: 0.0359em\">v<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/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=\"mpunct\">,<\/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: 0.3117em\"><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\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/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 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 text\"><span class=\"mord\">sigmoid<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/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><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\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><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: 0.0359em\">v<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/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=\"mpunct\">,<\/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: 0.3117em\"><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\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/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 class=\"tag\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>       \\\\alpha<\/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><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u529f\u80fd\u4e92\u8865&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>       \\\\alpha<\/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><\/span><\/span><\/span>\u5bf9\u5019\u9009\u878d\u5408\u7b97\u5b50\u52a0\u6743&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u63a7\u5236\u6bcf\u4e2aGFS\u6a21\u5757\u7684\u6fc0\u6d3b\u72b6\u6001\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u9636\u6bb5 I \u4e2d&#xff0c;\u4e8c\u8005\u4f5c\u4e3a\u8fde\u7eed\u53c2\u6570&#xff0c;\u4e0e\u7f51\u7edc\u6743\u91cd\u8054\u5408\u4f18\u5316\u3002\u9636\u6bb5 II \u4e2d\u5c06\u5b83\u4eec\u79bb\u6563\u5316\u4e3a\u7b97\u5b50\u9009\u62e9\u3001GFS \u95e8\u63a7\u72b6\u6001&#xff1b;\u8fdb\u5316\u5f97\u5230\u6700\u4f18\u67b6\u6784&#xff0c;\u628a\u9009\u4e2d\u7b97\u5b50\u4e0e\u6fc0\u6d3b\u95e8\u63a7\u7d22\u5f15\u56de\u4f20\u7ed9\u4e0b\u4e00\u8f6e\u53ef\u5fae\u641c\u7d22\u3002\u6700\u7ec8\u4fdd\u7559<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        s<\/p>\n<p>        i<\/p>\n<p>        g<\/p>\n<p>        m<\/p>\n<p>        o<\/p>\n<p>        i<\/p>\n<p>        d<\/p>\n<p>        (<\/p>\n<p>        \u03b2<\/p>\n<p>        )<\/p>\n<p>        &gt;<\/p>\n<p>        0.5<\/p>\n<p>       sigmoid(\\\\beta)&gt;0.5<\/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\">s<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mclose\">)<\/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: 0.6444em\"><\/span><span class=\"mord\">0.5<\/span><\/span><\/span><\/span><\/span>\u7684GFS\u6a21\u5757&#xff1b;\u6bcf\u4e2a\u4fdd\u7559\u6a21\u5757\u9009\u53d6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>       \\\\alpha<\/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><\/span><\/span><\/span>\u6743\u91cd\u6700\u5927\u7684\u7b97\u5b50\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u5c06\u591a\u6a21\u6001\u878d\u5408\u76ee\u6807\u68c0\u6d4b\u67b6\u6784\u641c\u7d22\u7a7a\u95f4\u7684\u64cd\u4f5c\u53c2\u6570\u677e\u5f1b\u4e3a\u8fde\u7eed\u7a7a\u95f4&#xff0c;\u5c31\u53ef\u4ee5\u7528\u68af\u5ea6\u4e0b\u964d\u540c\u65f6\u4f18\u5316\u7f51\u7edc\u6743\u91cd\u4e0e\u67b6\u6784\u53c2\u6570&#xff0c;\u540c\u65f6\u4f18\u5316\u6a21\u578b\u6027\u80fd\u4e0e\u67b6\u6784\u3002\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u8ba1\u7b97\u6bcf\u4e2a\u5019\u9009\u64cd\u4f5c\u6743\u91cd&#xff0c;\u6700\u5c0f\u5316\u5982\u4e0b\u635f\u5931\u51fd\u6570\u9009\u62e9\u6700\u4f18\u67b6\u6784&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            L<\/p>\n<p>            (<\/p>\n<p>            \u03b8<\/p>\n<p>            ,<\/p>\n<p>            \u03b1<\/p>\n<p>            ,<\/p>\n<p>            \u03b2<\/p>\n<p>            )<\/p>\n<p>            &#061;<\/p>\n<p>             L<\/p>\n<p>              t<\/p>\n<p>              a<\/p>\n<p>              s<\/p>\n<p>              k<\/p>\n<p>            (<\/p>\n<p>             f<\/p>\n<p>             \u03b8<\/p>\n<p>            (<\/p>\n<p>            \u03b1<\/p>\n<p>            ,<\/p>\n<p>            \u03b2<\/p>\n<p>            )<\/p>\n<p>            )<\/p>\n<p>            &#043;<\/p>\n<p>            \u03bb<\/p>\n<p>             L<\/p>\n<p>              r<\/p>\n<p>              e<\/p>\n<p>              g<\/p>\n<p>            (<\/p>\n<p>            \u03b1<\/p>\n<p>            ,<\/p>\n<p>            \u03b2<\/p>\n<p>            )<\/p>\n<p>           (4)<\/p>\n<p>         L(\\\\theta,\\\\alpha,\\\\beta)&#061;L_{task}(f_{\\\\theta}(\\\\alpha,\\\\beta))&#043;\\\\lambda L_{reg}(\\\\alpha,\\\\beta)\\\\tag{4} <\/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\">L<\/span><span class=\"mopen\">(<\/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\" 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=\"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\"><span class=\"mord mathnormal\">L<\/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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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\"><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 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/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\" 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=\"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: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/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 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/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=\"mopen\">(<\/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=\"mclose\">)<\/span><\/span><span class=\"tag\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         L<\/p>\n<p>          t<\/p>\n<p>          a<\/p>\n<p>          s<\/p>\n<p>          k<\/p>\n<p>       L_{task}<\/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\">L<\/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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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>\u4e3a\u4efb\u52a1\u635f\u5931&#xff08;\u591a\u6a21\u6001\u76ee\u6807\u68c0\u6d4b\u7684\u5206\u7c7b\u3001\u56de\u5f52\u635f\u5931&#xff09;&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         f<\/p>\n<p>         \u03b8<\/p>\n<p>        (<\/p>\n<p>        \u03b1<\/p>\n<p>        ,<\/p>\n<p>        \u03b2<\/p>\n<p>        )<\/p>\n<p>       f_\\\\theta(\\\\alpha,\\\\beta)<\/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: 0.1076em\">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\" 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=\"mopen\">(<\/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=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u7531\u7f51\u7edc\u6743\u91cd<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>\u3001\u67b6\u6784\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>        \u3001<\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\alpha\u3001\\\\beta<\/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=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u5b9a\u4e49&#xff1b;\u6b63\u5219\u9879<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         L<\/p>\n<p>          r<\/p>\n<p>          e<\/p>\n<p>          g<\/p>\n<p>        (<\/p>\n<p>        \u03b1<\/p>\n<p>        ,<\/p>\n<p>        \u03b2<\/p>\n<p>        )<\/p>\n<p>       L_{reg}(\\\\alpha,\\\\beta)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/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 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/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=\"mopen\">(<\/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=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u9632\u6b62\u67b6\u6784\u53c2\u6570\u8fc7\u62df\u5408&#xff1b;<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>\u63a7\u5236\u67b6\u6784\u590d\u6742\u5ea6\u3002\u5229\u7528\u68af\u5ea6\u4e0b\u964d&#xff0c;\u540c\u65f6\u4f18\u5316\u7f51\u7edc\u6743\u91cd\u5411\u91cf\u4e0e\u67b6\u6784\u53c2\u6570&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            (<\/p>\n<p>             \u03b8<\/p>\n<p>             \u2217<\/p>\n<p>            ,<\/p>\n<p>             \u03b1<\/p>\n<p>             \u2217<\/p>\n<p>            ,<\/p>\n<p>             \u03b2<\/p>\n<p>             \u2217<\/p>\n<p>            )<\/p>\n<p>            &#061;<\/p>\n<p>            arg<\/p>\n<p>            \u2061<\/p>\n<p>              min<\/p>\n<p>              \u2061<\/p>\n<p>              \u03b8<\/p>\n<p>              ,<\/p>\n<p>              \u03b1<\/p>\n<p>              ,<\/p>\n<p>              \u03b2<\/p>\n<p>            L<\/p>\n<p>            (<\/p>\n<p>            \u03b8<\/p>\n<p>            ,<\/p>\n<p>            \u03b1<\/p>\n<p>            ,<\/p>\n<p>            \u03b2<\/p>\n<p>            )<\/p>\n<p>           (5)<\/p>\n<p>         (\\\\theta^*,\\\\alpha^*,\\\\beta^*)&#061;\\\\arg\\\\min_{\\\\theta,\\\\alpha,\\\\beta}L(\\\\theta,\\\\alpha,\\\\beta)\\\\tag{5} <\/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\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><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><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><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><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><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><\/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: 1.6382em;vertical-align: -0.8882em\"><\/span><span class=\"mop\">ar<span style=\"margin-right: 0.0139em\">g<\/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: 0.6679em\"><span class=\"\" style=\"top: -2.3479em;margin-left: 0em\"><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\">\u03b8<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">min<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8882em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mopen\">(<\/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\" 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=\"mclose\">)<\/span><\/span><span class=\"tag\"><span class=\"strut\" style=\"height: 1.6382em;vertical-align: -0.8882em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u901a\u8fc7\u8be5\u8fc7\u7a0b&#xff0c;\u67b6\u6784\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>       \\\\alpha<\/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><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u88ab\u4f18\u5316\u4e3a\u9002\u914d\u4efb\u52a1\u7684\u6700\u4f18\u67b6\u6784&#xff0c;\u8f93\u51fa\u6700\u4f18\u591a\u6a21\u6001\u76ee\u6807\u68c0\u6d4b\u67b6\u6784\u3002<\/p>\n<h5>3.2.2 \u8fdb\u5316\u7b97\u6cd5\u641c\u7d22\u9636\u6bb5<\/h5>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u7b2c\u4e8c\u9636\u6bb5\u91c7\u7528\u8fdb\u5316\u7b97\u6cd5\u4f18\u5316 (Real \u7b49\u4eba&#xff0c;2019)\u3002\u5982\u56fe 2&#xff0c;\u7ecf\u8fc7\u82e5\u5e72\u8f6e\u8fed\u4ee3&#xff0c;\u57fa\u4e8e\u53ef\u5fae\u641c\u7d22\u8f93\u51fa\u6743\u91cd\u5206\u5e03\u7b5b\u9009\u4e00\u6279\u9ad8\u6027\u80fd\u5019\u9009\u67b6\u6784&#xff0c;\u4f5c\u4e3a\u8fdb\u5316\u9636\u6bb5\u521d\u59cb\u79cd\u7fa4\u3002\u521d\u59cb\u79cd\u7fa4\u5305\u542b<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>\u4e2a\u4e2a\u4f53&#xff0c;\u6bcf\u4e2a\u4e2a\u4f53\u67b6\u6784<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         A<\/p>\n<p>         i<\/p>\n<p>       A_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\">A<\/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: 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\">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>\u7531\u4e00\u7ec4\u67b6\u6784\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>       \\\\alpha<\/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><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u6784\u6210&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             A<\/p>\n<p>             i<\/p>\n<p>            &#061;<\/p>\n<p>            [<\/p>\n<p>             \u03b1<\/p>\n<p>             1<\/p>\n<p>            ,<\/p>\n<p>             \u03b1<\/p>\n<p>             2<\/p>\n<p>            ,<\/p>\n<p>            \u22ef<br \/>\n           \u2009<\/p>\n<p>            ,<\/p>\n<p>             \u03b1<\/p>\n<p>             k<\/p>\n<p>            ,<\/p>\n<p>            \u03b2<\/p>\n<p>            ]<\/p>\n<p>            ,<\/p>\n<p>            (<\/p>\n<p>            i<\/p>\n<p>            &#061;<\/p>\n<p>            1<\/p>\n<p>            ,<\/p>\n<p>            \u22ef<br \/>\n           \u2009<\/p>\n<p>            ,<\/p>\n<p>            N<\/p>\n<p>            )<\/p>\n<p>           (6)<\/p>\n<p>         A_i&#061;[\\\\alpha_1,\\\\alpha_2,\\\\cdots,\\\\alpha_k,\\\\beta],\\\\qquad(i&#061;1,\\\\cdots,N)\\\\tag{6} <\/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\">A<\/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: 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\">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 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\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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 mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/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\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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: 0.0315em\">k<\/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 mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mclose\">]<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">i<\/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\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/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: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><span class=\"tag\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b1<\/p>\n<p>          j<\/p>\n<p>         \u2208<\/p>\n<p>         {<\/p>\n<p>          t<\/p>\n<p>          1<\/p>\n<p>         ,<\/p>\n<p>          t<\/p>\n<p>          2<\/p>\n<p>         ,<\/p>\n<p>         \u22ef<br \/>\n        \u2009<\/p>\n<p>         ,<\/p>\n<p>          t<\/p>\n<p>          m<\/p>\n<p>         }<\/p>\n<p>        \\\\alpha_j\\\\in\\\\{t_1,t_2,\\\\cdots,t_m\\\\}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8252em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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 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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/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=\"mord\"><span class=\"mord mathnormal\">t<\/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=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/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\">t<\/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\">m<\/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>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\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>\u4ee3\u8868\u591a\u6a21\u6001\u5bf9\u79f0\u878d\u5408\u65b9\u6cd5\u603b\u6570&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          t<\/p>\n<p>          \u03c4<\/p>\n<p>        t_{\\\\tau}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7651em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/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 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1132em\">\u03c4<\/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>\u4ee3\u8868\u7b2c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03c4<\/p>\n<p>        \\\\tau<\/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: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span>\u79cd\u591a\u6a21\u6001\u5bf9\u79f0\u878d\u5408\u65b9\u6cd5&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03b1<\/p>\n<p>          j<\/p>\n<p>        \\\\alpha_j<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/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: -0.0037em;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><\/span>\u4ee3\u8868\u7f51\u7edc\u7b2c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         j<\/p>\n<p>        j<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span>\u5904\u9009\u62e9\u7684\u64cd\u4f5c&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b2<\/p>\n<p>        \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u63a7\u5236GFS\u6a21\u5757\u662f\u5426\u5f00\u542f&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         s<\/p>\n<p>         i<\/p>\n<p>         g<\/p>\n<p>         m<\/p>\n<p>         o<\/p>\n<p>         i<\/p>\n<p>         d<\/p>\n<p>         (<\/p>\n<p>         \u03b2<\/p>\n<p>         )<\/p>\n<p>        sigmoid(\\\\beta)<\/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\">s<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u8d8b\u8fd1\u4e8e1\u4ee3\u8868\u5f00\u542f&#xff0c;\u8d8b\u8fd1\u4e8e0\u8868\u793a\u5173\u95ed<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u6bcf\u4e2a\u4e2a\u4f53\u67b6\u6784<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         A<\/p>\n<p>         i<\/p>\n<p>       A_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\">A<\/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: 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\">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>\u5728\u591a\u6a21\u6001\u76ee\u6807\u68c0\u6d4b\u4efb\u52a1\u4e0a\u8bad\u7ec3&#xff0c;\u901a\u8fc7\u76ee\u6807\u635f\u5931\u51fd\u6570\u8ba1\u7b97\u9002\u5e94\u5ea6\u3002\u9002\u5e94\u5ea6\u51fd\u6570\u7efc\u5408\u68c0\u6d4b\u7cbe\u5ea6&#xff08;mAP&#xff09;\u4e0e\u6a21\u578b\u8ba1\u7b97\u590d\u6742\u5ea6&#xff08;FLOPs\u3001\u53c2\u6570\u91cf&#xff09;&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            f<\/p>\n<p>            (<\/p>\n<p>             A<\/p>\n<p>             i<\/p>\n<p>            )<\/p>\n<p>            &#061;<\/p>\n<p>            \u2212<\/p>\n<p>            (<\/p>\n<p>             \u03bb<\/p>\n<p>              t<\/p>\n<p>              a<\/p>\n<p>              s<\/p>\n<p>              k<\/p>\n<p>            \u22c5<\/p>\n<p>             L<\/p>\n<p>              t<\/p>\n<p>              a<\/p>\n<p>              s<\/p>\n<p>              k<\/p>\n<p>            (<\/p>\n<p>             A<\/p>\n<p>             i<\/p>\n<p>            )<\/p>\n<p>            &#043;<\/p>\n<p>             \u03bb<\/p>\n<p>              c<\/p>\n<p>              o<\/p>\n<p>              m<\/p>\n<p>            \u22c5<\/p>\n<p>             L<\/p>\n<p>              c<\/p>\n<p>              o<\/p>\n<p>              m<\/p>\n<p>            (<\/p>\n<p>             A<\/p>\n<p>             i<\/p>\n<p>            )<\/p>\n<p>            )<\/p>\n<p>           (7)<\/p>\n<p>         f(A_i)&#061;-(\\\\lambda_{task}\\\\cdot L_{task}(A_i)&#043;\\\\lambda_{com}\\\\cdot L_{com}(A_i))\\\\tag{7} <\/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\"><span class=\"mord mathnormal\">A<\/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: 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\">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 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\">\u2212<\/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: 0.3361em\"><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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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\"><span class=\"mord mathnormal\">A<\/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: 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\">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 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: 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: 0.1514em\"><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 mtight\"><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/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 mtight\"><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/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\"><span class=\"mord mathnormal\">A<\/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: 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\">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 class=\"mclose\">))<\/span><\/span><span class=\"tag\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><span class=\"mord\"><span class=\"mord\">7<\/span><\/span><span class=\"mord\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           s<\/p>\n<p>           k<\/p>\n<p>         (<\/p>\n<p>          A<\/p>\n<p>          i<\/p>\n<p>         )<\/p>\n<p>        L_{task}(A_i)<\/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\">L<\/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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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\"><span class=\"mord mathnormal\">A<\/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: 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\">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 class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4e3a\u591a\u6a21\u6001\u76ee\u6807\u68c0\u6d4b\u4efb\u52a1\u635f\u5931&#xff0c;\u8861\u91cf\u67b6\u6784\u6027\u80fd&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           c<\/p>\n<p>           o<\/p>\n<p>           m<\/p>\n<p>         (<\/p>\n<p>          A<\/p>\n<p>          i<\/p>\n<p>         )<\/p>\n<p>        L_{com}(A_i)<\/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\">L<\/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 mtight\"><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/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\"><span class=\"mord mathnormal\">A<\/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: 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\">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 class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u662f\u590d\u6742\u5ea6\u635f\u5931&#xff0c;\u548c\u7f51\u7edc\u8ba1\u7b97\u91cf\u3001\u53c2\u6570\u91cf\u76f8\u5173&#xff1b;\u975e\u8d1f\u53c2\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03bb<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           s<\/p>\n<p>           k<\/p>\n<p>         \u3001<\/p>\n<p>          \u03bb<\/p>\n<p>           c<\/p>\n<p>           o<\/p>\n<p>           m<\/p>\n<p>        \\\\lambda_{task}\u3001\\\\lambda_{com}<\/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: 0.3361em\"><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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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 cjk_fallback\">\u3001<\/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: 0.1514em\"><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 mtight\"><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/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>\u5e73\u8861\u4efb\u52a1\u6027\u80fd\u4e0e\u6a21\u578b\u590d\u6742\u5ea6\u3002\u672c\u6587\u5168\u90e8\u4e3b\u5b9e\u9a8c\u8bbe\u7f6e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03bb<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           s<\/p>\n<p>           k<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         ,<\/p>\n<p>          \u03bb<\/p>\n<p>           c<\/p>\n<p>           o<\/p>\n<p>           m<\/p>\n<p>         &#061;<\/p>\n<p>         0.1<\/p>\n<p>        \\\\lambda_{task}&#061;1,\\\\lambda_{com}&#061;0.1<\/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: 0.3361em\"><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 mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/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: 0.8889em;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\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><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 mtight\"><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/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\">0.1<\/span><\/span><\/span><\/span><\/span>\u3002\u9002\u5e94\u5ea6\u6570\u503c\u8d8a\u9ad8&#xff0c;\u4ee3\u8868\u4efb\u52a1\u8868\u73b0\u8d8a\u597d\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u4e4b\u540e\u9009\u62e9\u9ad8\u9002\u5e94\u5ea6\u67b6\u6784\u4f5c\u4e3a\u7236\u4ee3\u79cd\u7fa4&#xff0c;\u901a\u8fc7\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02\u751f\u6210\u65b0\u4e00\u4ee3\u3002\u9009\u62e9\u64cd\u4f5c&#xff1a;\u4f9d\u636e\u9002\u5e94\u5ea6\u4ece\u5f53\u524d\u79cd\u7fa4\u6311\u9009\u6027\u80fd\u4f18\u5f02\u4e2a\u4f53&#xff1b;\u4ea4\u53c9\u64cd\u4f5c&#xff1a;\u4e24\u4e2a\u7236\u4ee3\u4e2a\u4f53\u4ea4\u6362\u90e8\u5206\u57fa\u56e0&#xff08;\u67b6\u6784\u53c2\u6570&#xff09;\u751f\u6210\u5b50\u4ee3&#xff1b;\u53d8\u5f02\u64cd\u4f5c&#xff1a;\u5bf9\u90e8\u5206\u4e2a\u4f53\u57fa\u56e0\u505a\u5c0f\u89c4\u6a21\u968f\u673a\u4fee\u6539&#xff0c;\u63d0\u5347\u79cd\u7fa4\u591a\u6837\u6027&#xff0c;\u53ef\u4ee5\u968f\u673a\u4fee\u6539\u67b6\u6784\u4e2d\u67d0\u4e00\u5c42\u7684\u64cd\u4f5c\u3002\u65b0\u4e00\u4ee3\u7ee7\u7eed\u6267\u884c\u9002\u5e94\u5ea6\u8bc4\u4f30\u3001\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02&#xff0c;\u8fed\u4ee3\u76f4\u5230\u6ee1\u8db3\u505c\u6b62\u6761\u4ef6\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100905-6ae0784121d52.png\" alt=\"\" \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u7b97\u6cd5 1 \u603b\u7ed3\u95ed\u73af\u641c\u7d22\u6d41\u7a0b\u3002MFH\u2011NAS \u9996\u5148\u6784\u5efa\u878d\u5408\u9636\u6bb5\u3001\u878d\u5408\u7b97\u5b50\u7684\u641c\u7d22\u7a7a\u95f4&#xff0c;\u521d\u59cb\u5316\u8fde\u7eed\u67b6\u6784\u53c2\u6570\u4e0e\u7f51\u7edc\u6743\u91cd\u3002\u6bcf\u4e00\u8f6e\u4ea4\u66ff\u5faa\u73af&#xff1a;\u9636\u6bb5 I \u5728\u8d85\u7f51\u7edc\u5185\u505a\u53ef\u5fae\u641c\u7d22\u66f4\u65b0\u8fde\u7eed\u53c2\u6570&#xff0c;\u5b66\u4e60\u5c40\u90e8\u7b97\u5b50\u504f\u597d\u3001GFS \u6fc0\u6d3b\u503e\u5411&#xff1b;\u628a\u67b6\u6784\u5206\u5e03\u8f6c\u5316\u4e3a Top\u2011K \u79bb\u6563\u5019\u9009&#xff0c;\u9001\u5165\u9636\u6bb5 II&#xff0c;\u901a\u8fc7\u7cbe\u82f1\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02\u3001\u9002\u5e94\u5ea6\u8bc4\u4f30\u5b8c\u6210\u4f18\u5316\u3002\u53d6\u51fa\u672c\u8f6e\u6700\u4f18\u79bb\u6563\u67b6\u6784&#xff0c;\u63d0\u53d6\u9009\u4e2d\u878d\u5408\u7b97\u5b50\u3001\u542f\u7528 GFS \u6a21\u5757&#xff0c;\u751f\u6210\u53cd\u9988\u4fee\u6b63\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>        \u0394<\/p>\n<p>        \u03b1<\/p>\n<p>        ,<\/p>\n<p>        \u0394<\/p>\n<p>        \u03b2<\/p>\n<p>        )<\/p>\n<p>       (\\\\Delta\\\\alpha,\\\\Delta\\\\beta)<\/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\">\u0394<\/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\">\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4f5c\u4e3a\u4e0b\u4e00\u8f6e\u53ef\u5fae\u641c\u7d22\u7684\u521d\u59cb\u5316&#xff0c;\u5f62\u6210\u8fde\u7eed\u7b97\u5b50\u4f18\u5316\u4e0e\u79bb\u6563\u62d3\u6251\u4f18\u5316\u7684\u95ed\u73af\u3002\u4ea4\u66ff\u8fc7\u7a0b\u6536\u655b\u540e&#xff0c;\u4fdd\u7559\u6fc0\u6d3b\u7684 GFS \u6a21\u5757&#xff0c;\u6bcf\u4e2a\u6a21\u5757\u9009\u53d6\u6743\u91cd\u6700\u9ad8\u7b97\u5b50&#xff0c;\u5f97\u5230\u6700\u7ec8\u67b6\u6784\u3002<\/p>\n<h3>4 \u5b9e\u9a8c<\/h3>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u672c\u7ae0\u4ecb\u7ecd\u5b9e\u9a8c\u5b9e\u73b0\u7ec6\u8282\u3001\u6570\u636e\u96c6\u3001\u8bc4\u4ef7\u6307\u6807\u3002\u8bbe\u7f6e\u4e24\u7ec4\u641c\u7d22\u5b9e\u9a8c&#xff1a;\u2460\u5728 M3FD \u4e0a\u505a\u5355\u878d\u5408\u65b9\u6cd5\u9636\u6bb5\u641c\u7d22&#xff0c;\u5bf9\u6bd4\u4e0d\u540c\u9636\u6bb5\u641c\u7d22\u7b56\u7565&#xff1b;\u2461\u5728 M3FD\u3001LLVIP\u3001RGBT\u2011Tiny \u505a\u591a\u7b97\u5b50\u641c\u7d22&#xff0c;\u540c\u65f6\u4f18\u5316\u878d\u5408\u9636\u6bb5\u4e0e\u878d\u5408\u7b97\u5b50\u3002\u6700\u540e\u5728 M3FD \u5f00\u5c55\u6d88\u878d\u5b9e\u9a8c&#xff0c;\u91cf\u5316\u5404\u4e2a\u7ec4\u4ef6\u8d21\u732e&#xff1a;\u53ef\u5fae\u641c\u7d22\u3001\u8fdb\u5316\u641c\u7d22\u3001\u591a\u7b97\u5b50\u641c\u7d22\u7a7a\u95f4\u3002<\/p>\n<h4>4.1 \u5b9e\u9a8c\u7ec6\u8282<\/h4>\n<p>MFH\u2011NAS \u57fa\u4e8e PyTorch2.7.1 \u5b9e\u73b0&#xff0c;\u4f7f\u7528 6 \u5f20 NVIDIA RTX5090 GPU&#xff0c;CUDA12.9\u3002\u5b9e\u9a8c\u6570\u636e\u96c6\u91c7\u7528 M3FD\u3001LLVIP\u3001RGBT\u2011Tiny \u4e09\u4e2a\u4e3b\u6d41\u57fa\u51c6\u3002\u6bcf\u4e2a\u6a21\u6001\u6d41\u4f7f\u7528 YOLO11n \u4f5c\u4e3a\u68c0\u6d4b\u5668\u9aa8\u5e72\u7f51\u7edc\u3002\u67b6\u6784\u641c\u7d22\u65f6&#xff0c;\u9aa8\u5e72\u7f51\u7edc 5 \u4e2a\u9636\u6bb5 &#043; \u8f93\u5165\u5c42&#xff0c;\u4e00\u5171 6 \u4e2a\u5019\u9009\u878d\u5408\u9636\u6bb5\u3002\u4ece 12 \u79cd\u8fd1\u671f RGB\u2011T \u878d\u5408\u7b56\u7565\u4e2d\u6311\u9009 8 \u4e2a\u6027\u80fd\u4f18\u5f02\u7684\u65b9\u6cd5\u4f5c\u4e3a\u5019\u9009\u878d\u5408\u7b97\u5b50\u3002<\/p>\n<p>\u641c\u7d22\u6d41\u7a0b&#xff1a;\u9636\u6bb5 I \u53ef\u5fae\u641c\u7d22\u6267\u884c 1000 \u8f6e epoch&#xff1b;\u521d\u59cb\u5b66\u4e60\u7387 0.025&#xff0c;\u6700\u5c0f\u5b66\u4e60\u7387 0.001&#xff1b;\u67b6\u6784\u53c2\u6570\u5b66\u4e60\u7387<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        3<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>          \u2212<\/p>\n<p>          4<\/p>\n<p>       3\\\\times10^{-4}<\/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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u6bcf 100 \u4e2a epoch \u5bfc\u51fa\u4e00\u7ec4\u79bb\u6563\u5019\u9009\u67b6\u6784&#xff0c;\u6027\u80fd\u9760\u524d\u7684\u5019\u9009\u7528\u4e8e\u521d\u59cb\u5316\u9636\u6bb5 II \u79cd\u7fa4\u3002\u9636\u6bb5 II \u8fdb\u5316\u641c\u7d22\u8fd0\u884c 10 \u4ee3&#xff1b;\u67b6\u6784\u5b66\u4e60\u7387<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        3<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>          \u2212<\/p>\n<p>          4<\/p>\n<p>       3\\\\times10^{-4}<\/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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">4<\/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>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u53c2\u6570\u5b66\u4e60\u7387<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>          \u2212<\/p>\n<p>          3<\/p>\n<p>       1\\\\times10^{-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\">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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u7f51\u7edc\u4f7f\u7528 SGD \u4f18\u5316\u5668&#xff0c;\u52a8\u91cf 0.9&#xff1b;\u7f51\u7edc\u6743\u91cd\u8870\u51cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        3<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>          \u2212<\/p>\n<p>          4<\/p>\n<p>       3\\\\times10^{-4}<\/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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1b;\u67b6\u6784\u53c2\u6570\u6743\u91cd\u8870\u51cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>          \u2212<\/p>\n<p>          3<\/p>\n<p>       1\\\\times10^{-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\">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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b2<\/p>\n<p>       \\\\beta<\/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: 0.0528em\">\u03b2<\/span><\/span><\/span><\/span><\/span>\u53c2\u6570\u6743\u91cd\u8870\u51cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u00d7<\/p>\n<p>         10<\/p>\n<p>          \u2212<\/p>\n<p>          3<\/p>\n<p>       1\\\\times10^{-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\">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: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/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\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1b;\u68af\u5ea6\u88c1\u526a\u9608\u503c 5\u3002\u53ef\u5fae\u641c\u7d22\u3001\u8fdb\u5316\u641c\u7d22\u4ea4\u66ff\u8fed\u4ee3\u76f4\u5230\u641c\u7d22\u7ed3\u675f\u3002<\/p>\n<p>\u6a21\u578b\u8bc4\u4ef7\u6307\u6807&#xff1a;\u76ee\u6807\u68c0\u6d4b\u6807\u51c6\u6307\u6807&#xff0c;IoU \u9608\u503c 0.5 \u4e0b\u5e73\u5747\u7cbe\u5ea6 mAP&#064;0.5&#xff1b;\u4ee5\u53ca IoU 0.5~0.95 \u533a\u95f4\u5e73\u5747\u7cbe\u5ea6 mAP&#064;0.5:0.95\u3002<\/p>\n<h4>4.2 \u5355\u878d\u5408\u65b9\u6cd5\u641c\u7d22\u5bf9\u6bd4\u5206\u6790<\/h4>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u9009\u53d6\u8fd1\u5e74 12 \u79cd RGB\u2011T \u878d\u5408\u65b9\u6cd5\u4f5c\u4e3a\u57fa\u7ebf&#xff1a;COMO (Liu \u7b49\u4eba&#xff0c;2026)\u3001CMADet (Song \u7b49\u4eba&#xff0c;2024)\u3001GMDETR (Xiao \u7b49\u4eba&#xff0c;2024)\u3001ICAFusion (Shen \u7b49\u4eba&#xff0c;2024)\u3001CDC\u2011YOLO (Wang \u7b49\u4eba&#xff0c;2024b)\u3001DAMSDet (Guo \u7b49\u4eba&#xff0c;2024)\u3001DHANet (Wu \u7b49\u4eba&#xff0c;2025)\u3001M\u2011SpecGene (Zhou \u7b49\u4eba&#xff0c;2025)\u3001Fusion Mamba (Dong \u7b49\u4eba&#xff0c;2025b)\u3001UniRGB\u2011IR (Yuan \u7b49\u4eba&#xff0c;2024)\u3001TFDet (Zhang \u7b49\u4eba&#xff0c;2024)\u3001SCFR (Sun \u7b49\u4eba&#xff0c;2024)\u3002\u540c\u65f6\u9009\u53d6 5 \u4e2a\u4ee3\u8868\u6027 NAS \u65b9\u6cd5&#xff1a;DC\u2011NAS (Liang \u7b49\u4eba&#xff0c;2024b)\u3001BM\u2011NAS (Yin \u7b49\u4eba&#xff0c;2022)\u3001EG\u2011NAS (Cai \u7b49\u4eba&#xff0c;2024)\u3001SMoA (Liu \u7b49\u4eba&#xff0c;2021)\u3001ParZC (Dong \u7b49\u4eba&#xff0c;2025a)\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u9488\u5bf9\u6bcf\u4e00\u79cd\u878d\u5408\u65b9\u6cd5&#xff0c;\u5728 M3FD \u6570\u636e\u96c6\u5bf9\u6bd4 MFH\u2011NAS \u4e0e 4 \u79cd NAS \u65b9\u6cd5\u63a2\u7d22\u878d\u5408\u9636\u6bb5\u7684\u6548\u679c\u3002\u5b9e\u9a8c\u7ed3\u679c\u5982\u8868 1\u3002\u53ef\u4ee5\u770b\u5230 MFH\u2011NAS \u641c\u7d22\u5f97\u5230\u7684\u878d\u5408\u67b6\u6784\u7edd\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u4f18\u4e8e\u5176\u4ed6 NAS \u65b9\u6cd5&#xff0c;\u4e5f\u4f18\u4e8e\u5bf9\u5e94\u4eba\u5de5\u8bbe\u8ba1\u57fa\u7ebf\u3002\u5bf9\u6bd4 COMO (mAP50&#061;0.853)\u3001DAMSDet (mAP50&#061;0.802) \u7b49\u4eba\u624b\u8bbe\u8ba1\u65b9\u6cd5&#xff0c;\u672c\u6587\u65b9\u6cd5\u5e73\u5747 mAP50 \u8fbe\u5230 0.842\u3002\u5f53\u641c\u7d22 Fusion Mamba \u878d\u5408\u65b9\u6cd5\u65f6&#xff0c;\u53d6\u5f97\u6700\u9ad8 mAP50&#061;0.879&#xff0c;\u76f8\u6bd4\u539f\u59cb\u65b9\u6cd5\u63d0\u5347 4.5 \u4e2a\u767e\u5206\u70b9\u3002\u8bc1\u660e\u95e8\u63a7\u878d\u5408\u7b56\u7565 GFS \u53ef\u4ee5\u81ea\u9002\u5e94\u5f25\u5408\u53ef\u89c1\u5149\u3001\u7ea2\u5916\u4fe1\u606f\u8bed\u4e49\u9e3f\u6c9f&#xff0c;\u81ea\u52a8\u63a2\u7d22\u66f4\u4f18\u878d\u5408\u9636\u6bb5\u3002\u5bf9\u6bd4 SMoA (0.841)\u3001EG\u2011NAS (0.840) \u7b49 NAS \u6a21\u578b&#xff0c;MFH\u2011NAS \u4f9d\u9760\u53cc\u5c42\u534f\u540c\u4f18\u5316&#xff0c;\u7f13\u89e3\u7eaf\u68af\u5ea6\u641c\u7d22\u5bb9\u6613\u9677\u5165\u5c40\u90e8\u6700\u4f18\u7684\u7f3a\u9677&#xff0c;\u5f97\u5230\u66f4\u4f18\u878d\u5408\u68c0\u6d4b\u67b6\u6784\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100905-6ae0784162070.png\" alt=\"\" \/><\/p>\n<p>\u8868 1 M3FD \u6570\u636e\u96c6\u4e0a&#xff0c;MFH\u2011NAS \u4e0e\u4ee3\u8868\u6027\u4eba\u5de5\u8bbe\u8ba1\u3001NAS \u878d\u5408\u6a21\u578b\u5bf9\u6bd4&#xff0c;\u6307\u6807 mAP50\u3001mAP50\u201195&#xff1b;\u6700\u4f18\u52a0\u7c97&#xff0c;\u6b21\u4f18\u4e0b\u5212\u7ebf\u3002<\/p>\n<h4>4.3 \u591a\u878d\u5408\u65b9\u6cd5\u641c\u7d22\u5bf9\u6bd4\u5206\u6790<\/h4>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>       \\\\qquad<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0em\"><\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><\/span><\/span><\/span><\/span>\u8868 2 \u5c55\u793a\u4e0d\u540c NAS \u65b9\u6cd5\u641c\u7d22\u5f97\u5230\u7684\u5206\u9636\u6bb5\u878d\u5408\u914d\u7f6e\u3002In\u5217\u7f16\u7801\u542b\u4e49&#xff1a;{0&#xff1a;\u65e0\u8f93\u5165&#xff0c;1&#xff1a;\u4ec5\u53ef\u89c1\u5149\u8f93\u5165&#xff0c;2&#xff1a;\u4ec5\u7ea2\u5916\u8f93\u5165&#xff0c;3&#xff1a;\u53cc\u6a21\u6001\u8f93\u5165}\u3002Cur.\u4ee3\u8868\u4f5c\u7528\u4e8e\u5f53\u524d\u9636\u6bb5\u53ef\u89c1\u5149\u3001\u7ea2\u5916\u7279\u5f81\u7684\u878d\u5408\u7b97\u5b50&#xff1b;Pre.\u4ee3\u8868\u5c06\u5f53\u524d\u878d\u5408\u7279\u5f81\u4e0e\u4e0a\u4e00\u9636\u6bb5\u4f20\u64ad\u8fc7\u6765\u7684\u878d\u5408\u7279\u5f81\u8fdb\u4e00\u6b65\u878d\u5408\u6240\u4f7f\u7528\u7b97\u5b50\u3002\u7b97\u5b50\u7d22\u5f15 1\u201112 \u5bf9\u5e94 4.2 \u8282 12 \u79cd RGB\u2011T \u878d\u5408\u65b9\u6cd5&#xff1b;13\u300114 \u5206\u522b\u4ee3\u8868\u76f4\u63a5\u4f20\u9012\u7ea2\u5916\u5206\u652f\u3001\u53ef\u89c1\u5149\u5206\u652f\u7279\u5f81\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100905-6ae0784180f52.png\" alt=\"\" \/><\/p>\n<p>\u8868 2 \u4e0d\u540c NAS \u65b9\u6cd5\u641c\u7d22\u5f97\u5230\u7684\u5206\u9636\u6bb5\u878d\u5408\u914d\u7f6e<\/p>\n<p>MFH\u2011NAS \u4ece\u7b2c 2 \u9636\u6bb5\u5f00\u542f\u878d\u5408&#xff1a;\u53cc\u6a21\u6001\u7279\u5f81\u9001\u5165 GFS \u6a21\u5757&#xff0c;\u4f7f\u7528 ICAFusion \u5b8c\u6210\u878d\u5408\u3002\u7b2c 3\u30014 \u9636\u6bb5\u9009\u62e9\u4ec5\u7ea2\u5916\u8f93\u5165&#xff0c;\u548c\u4e0a\u4e00\u9636\u6bb5\u4f20\u64ad\u8fc7\u6765\u7684\u878d\u5408\u7279\u5f81\u505a\u8de8\u9636\u6bb5\u878d\u5408&#xff0c;\u4f9d\u65e7\u4f7f\u7528 ICAFusion\u3002\u641c\u7d22\u5faa\u73af\u4e2d\u5168\u90e8 GFS \u6a21\u5757\u878d\u5408\u7b97\u5b50\u6743\u91cd\u53d8\u5316\u89c1\u56fe 5\u3002\u5f97\u5230\u6700\u7ec8\u79bb\u6563\u67b6\u6784\u89c4\u5219&#xff1a;\u4fdd\u7559<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        s<\/p>\n<p>        i<\/p>\n<p>        g<\/p>\n<p>        m<\/p>\n<p>        o<\/p>\n<p>        i<\/p>\n<p>        d<\/p>\n<p>        (<\/p>\n<p>        \u03b2<\/p>\n<p>        )<\/p>\n<p>        &gt;<\/p>\n<p>        0.5<\/p>\n<p>       sigmoid(\\\\beta)&gt;0.5<\/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\">s<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mclose\">)<\/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: 0.6444em\"><\/span><span class=\"mord\">0.5<\/span><\/span><\/span><\/span><\/span>\u7684GFS\u6a21\u5757&#xff1b;\u6bcf\u4e2a\u6a21\u5757\u9009\u53d6\u6743\u91cd<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>       \\\\alpha<\/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><\/span><\/span><\/span>\u6700\u5927\u7684\u7b97\u5b50\u3002\u5bf9\u6bd4\u5bf9\u6bd4 DC\u2011NAS&#xff1a;\u9636\u6bb5 1 \u4f7f\u7528 SCFR \u505a\u672c\u9636\u6bb5\u878d\u5408&#xff0c;\u9636\u6bb5 2 \u4f7f\u7528 CMADet&#xff0c;\u518d\u7528 CDC\u2011YOLO \u548c\u4e0a\u9636\u6bb5\u878d\u5408\u7279\u5f81\u878d\u5408&#xff1b;\u9636\u6bb5 3\u30014 \u4ec5\u7ea2\u5916\u8f93\u5165&#xff0c;\u5206\u522b\u7528 SCFR\u3001ICAFusion \u505a\u8de8\u9636\u6bb5\u878d\u5408&#xff1b;\u9636\u6bb5 5CMADet \u505a\u672c\u9636\u6bb5\u878d\u5408&#xff0c;ICAFusion \u548c\u5386\u53f2\u7279\u5f81\u878d\u5408\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100905-6ae07841959fb.png\" alt=\"\" \/><\/p>\n<p>\u56fe5 GFS\u6a21\u5757\u4e2d\u5404\u878d\u5408\u65b9\u6cd5\u7684\u8d85\u53c2\u6570\u6f14\u5316\u53ca\u6027\u80fd\u5206\u6790<\/p>\n<p>\u8fdb\u4e00\u6b65\u5728 M3FD\u3001LLVIP\u3001RGBT\u2011Tiny \u505a\u591a\u878d\u5408\u7b97\u5b50\u641c\u7d22\u5b9e\u9a8c\u3002\u5728 M3FD \u6570\u636e\u96c6\u6309\u7167 mAP&#064;0.5 \u5bf9 12 \u79cd\u5019\u9009\u878d\u5408\u65b9\u6cd5\u6392\u5e8f&#xff0c;\u9009\u53d6 Top\u20118 \u4f5c\u4e3a\u641c\u7d22\u7a7a\u95f4\u7b97\u5b50\u6c60&#xff1a;(1) COMO\u3001(2) CDC\u2011YOLO\u3001(3) ICAFusion\u3001(4) DHANet\u3001(5) M\u2011SpecGene\u3001(6) Fusion Mamba\u3001(7) SCFR\u3001(8) CMADet\u3002 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100905-6ae07841e9a0e.png\" alt=\"\" \/><\/p>\n<p>\u8868 4 \u7b97\u5b50\u6c60\u6765\u6e90\u5bf9 M3FD \u6027\u80fd\u7684\u5f71\u54cd<\/p>\n<p>\u4e3a\u9a8c\u8bc1\u7b97\u5b50\u6c60\u662f\u5426\u5e26\u6765\u6570\u636e\u96c6\u504f\u5411&#xff0c;\u5f00\u5c55\u7b97\u5b50\u6c60\u8fc1\u79fb\u5b9e\u9a8c&#xff1a;\u4e0d\u5728 M3FD \u7b5b\u9009\u7b97\u5b50&#xff0c;\u800c\u662f\u5148\u5728 LLVIP \u6570\u636e\u96c6\u5bf9 12 \u79cd\u65b9\u6cd5\u6392\u5e8f&#xff0c;\u9009\u51fa LLVIP \u4e0a Top\u20118 \u7b97\u5b50\u6784\u6210\u7b97\u5b50\u6c60&#xff1b;\u76f8\u6bd4 M3FD \u7b97\u5b50\u6c60&#xff0c;\u79fb\u9664 SCFR\u3001M\u2011SpecGene&#xff0c;\u589e\u52a0 GM\u2011DETR\u3001DAMSDet\u3002\u4f7f\u7528\u8fc1\u79fb\u540e\u7684\u7b97\u5b50\u6c60\u5728 M3FD \u641c\u7d22\u3002\u8868 4 \u7ed3\u679c\u663e\u793a\u6027\u80fd\u51e0\u4e4e\u4e0d\u53d8&#xff1a;mAP&#064;0.5 \u5b8c\u5168\u4e00\u81f4&#xff0c;mAP&#064;0.5:0.95 \u53ea\u5dee 0.002\u3002\u8bf4\u660e MFH\u2011NAS \u641c\u7d22\u5f97\u5230\u7684\u67b6\u6784\u4e0d\u4f1a\u8fc7\u5ea6\u4f9d\u8d56\u76ee\u6807\u6570\u636e\u96c6\u7b5b\u9009\u51fa\u7684\u7b97\u5b50\u5b50\u96c6&#xff1b;\u5f53\u7136\u5e76\u975e\u5b8c\u5168\u6570\u636e\u96c6\u65e0\u5173&#xff0c;\u4f46\u5bf9\u7b97\u5b50\u9884\u9009\u53d6\u6765\u6e90\u654f\u611f\u5ea6\u5f88\u4f4e\u3002 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261027100906-6ae0784207028.png\" alt=\"\" \/><\/p>\n<p>\u8868 3 M3FD\u3001LLVIP\u3001RGBT\u2011Tiny \u6570\u636e\u96c6\u6027\u80fd\u4e0e\u641c\u7d22\u5f00\u9500\u5bf9\u6bd4&#xff1b;GPU\u2011day \u4e3a\u641c\u7d22\u65f6\u95f4&#xff1b;\u6700\u4f18\u52a0\u7c97&#xff0c;\u6b21\u4f18\u4e0b\u5212\u7ebf<\/p>\n<p>\u8be5\u8bbe\u7f6e\u4e0b&#xff0c;\u540c\u65f6\u641c\u7d22\u878d\u5408\u9636\u6bb5\u4e0e\u878d\u5408\u7b97\u5b50&#xff0c;\u548c 4 \u79cd NAS 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