{"id":88480,"date":"2026-08-01T09:09:00","date_gmt":"2026-08-01T01:09:00","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/88480.html"},"modified":"2026-08-01T09:09:00","modified_gmt":"2026-08-01T01:09:00","slug":"%e4%b8%ba%e4%bb%80%e4%b9%88-dropout-%e8%83%bd%e6%8a%91%e5%88%b6%e8%bf%87%e6%8b%9f%e5%90%88%ef%bc%9a%e5%8e%9f%e7%90%86%e3%80%81%e6%95%b0%e5%ad%a6%e6%8e%a8%e5%af%bc%e4%b8%8e%e5%b7%a5%e7%a8%8b%e5%ae%9e","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/88480.html","title":{"rendered":"\u4e3a\u4ec0\u4e48 Dropout \u80fd\u6291\u5236\u8fc7\u62df\u5408\uff1a\u539f\u7406\u3001\u6570\u5b66\u63a8\u5bfc\u4e0e\u5de5\u7a0b\u5b9e\u73b0"},"content":{"rendered":"<h2>\u4e3a\u4ec0\u4e48 Dropout \u80fd\u6291\u5236\u8fc7\u62df\u5408&#xff1a;\u539f\u7406\u3001\u6570\u5b66\u63a8\u5bfc\u4e0e\u5de5\u7a0b\u5b9e\u73b0<\/h2>\n<p>\u4e00\u53e5\u8bdd\u6982\u62ec&#xff1a; Dropout \u5728\u8bad\u7ec3\u9636\u6bb5\u968f\u673a\u5173\u95ed\u4e00\u90e8\u5206\u795e\u7ecf\u5143&#xff0c;\u8ba9\u6a21\u578b\u65e0\u6cd5\u957f\u671f\u4f9d\u8d56\u67d0\u4e00\u7ec4\u56fa\u5b9a\u7279\u5f81\u7ec4\u5408&#xff1b;\u8fd9\u8feb\u4f7f\u7f51\u7edc\u5b66\u4e60\u66f4\u5206\u6563\u3001\u66f4\u7a33\u5065\u7684\u8868\u793a&#xff0c;\u5e76\u8fd1\u4f3c\u5b9e\u73b0\u8bb8\u591a\u5b50\u7f51\u7edc\u7684\u6a21\u578b\u96c6\u6210&#xff0c;\u4ece\u800c\u51cf\u5c0f\u8bad\u7ec3\u96c6\u4e0e\u672a\u77e5\u6570\u636e\u4e4b\u95f4\u7684\u6cdb\u5316\u5dee\u8ddd\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260801010855-6a6d47275903e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<hr \/>\n<h3>1. \u5148\u7406\u89e3&#xff1a;\u4ec0\u4e48\u662f\u8fc7\u62df\u5408&#xff1f;<\/h3>\n<p>\u795e\u7ecf\u7f51\u7edc\u62e5\u6709\u5927\u91cf\u53c2\u6570&#xff0c;\u8868\u8fbe\u80fd\u529b\u5f88\u5f3a\u3002\u5b83\u4e0d\u4ec5\u80fd\u591f\u5b66\u4e60\u6570\u636e\u4e2d\u7684\u4e00\u822c\u89c4\u5f8b&#xff0c;\u4e5f\u53ef\u80fd\u8bb0\u4f4f\u8bad\u7ec3\u96c6\u4e2d\u7684\u566a\u58f0\u3001\u5076\u7136\u6a21\u5f0f\u751a\u81f3\u9519\u8bef\u6807\u6ce8\u3002<\/p>\n<p>\u5178\u578b\u73b0\u8c61\u662f&#xff1a;<\/p>\n<ul>\n<li>\u8bad\u7ec3\u635f\u5931\u6301\u7eed\u4e0b\u964d&#xff1b;<\/li>\n<li>\u8bad\u7ec3\u51c6\u786e\u7387\u975e\u5e38\u9ad8&#xff1b;<\/li>\n<li>\u9a8c\u8bc1\u635f\u5931\u5148\u4e0b\u964d\u540e\u4e0a\u5347&#xff1b;<\/li>\n<li>\u6a21\u578b\u9047\u5230\u672a\u89c1\u8fc7\u7684\u6570\u636e\u65f6\u8868\u73b0\u660e\u663e\u53d8\u5dee\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u8bf4\u660e\u6a21\u578b\u5b66\u4e60\u5230\u7684\u5e76\u4e0d\u5168\u662f\u53ef\u8fc1\u79fb\u7684\u89c4\u5f8b&#xff0c;\u800c\u662f\u5f62\u6210\u4e86\u5bf9\u8bad\u7ec3\u6837\u672c\u7684\u201c\u7279\u6b8a\u89e3\u6cd5\u201d\u3002<\/p>\n<p>\u4ece\u795e\u7ecf\u5143\u7684\u89d2\u5ea6\u770b&#xff0c;\u8fc7\u62df\u5408\u5e38\u5e38\u4f34\u968f\u7740\u4e00\u79cd\u73b0\u8c61&#xff1a;\u67d0\u4e9b\u795e\u7ecf\u5143\u9010\u6e10\u5f62\u6210\u56fa\u5b9a\u5206\u5de5&#xff0c;\u5e76\u9ad8\u5ea6\u4f9d\u8d56\u5f7c\u6b64\u3002\u4f8b\u5982&#xff0c;\u4e00\u4e2a\u795e\u7ecf\u5143\u53ea\u68c0\u6d4b\u5c40\u90e8\u7eb9\u7406&#xff0c;\u53e6\u4e00\u4e2a\u53ea\u5728\u524d\u8005\u6fc0\u6d3b\u65f6\u624d\u68c0\u6d4b\u67d0\u79cd\u7ec4\u5408\u3002\u53ea\u8981\u8bad\u7ec3\u6570\u636e\u4e2d\u7684\u7ec4\u5408\u5173\u7cfb\u7a33\u5b9a&#xff0c;\u8fd9\u5957\u534f\u4f5c\u5c31\u80fd\u83b7\u5f97\u5f88\u4f4e\u7684\u8bad\u7ec3\u635f\u5931&#xff1b;\u4f46\u6570\u636e\u5206\u5e03\u7a0d\u6709\u53d8\u5316&#xff0c;\u6574\u5957\u8106\u5f31\u7684\u534f\u4f5c\u53ef\u80fd\u540c\u65f6\u5931\u6548\u3002<\/p>\n<p>\u8fd9\u79cd\u73b0\u8c61\u901a\u5e38\u88ab\u79f0\u4e3a co-adaptation&#xff08;\u5171\u540c\u9002\u5e94\u6216\u534f\u540c\u9002\u5e94&#xff09;\u3002<\/p>\n<hr \/>\n<h3>2. Dropout \u5230\u5e95\u505a\u4e86\u4ec0\u4e48&#xff1f;<\/h3>\n<p>\u5047\u8bbe\u67d0\u4e00\u5c42\u7684\u6fc0\u6d3b\u5411\u91cf\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         &#061;<\/p>\n<p>         [<\/p>\n<p>          h<\/p>\n<p>          1<\/p>\n<p>         ,<\/p>\n<p>          h<\/p>\n<p>          2<\/p>\n<p>         ,<\/p>\n<p>         \u2026<\/p>\n<p>         ,<\/p>\n<p>          h<\/p>\n<p>          n<\/p>\n<p>         ]<\/p>\n<p>        \\\\mathbf{h} &#061; [h_1, h_2, \\\\dots, h_n]<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathbf\">h<\/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\">h<\/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\">h<\/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\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/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\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bbe Dropout \u7684\u4e22\u5f03\u6982\u7387\u4e3a <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         p<\/p>\n<p>        p<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">p<\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4fdd\u7559\u6982\u7387\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         q<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>         p<\/p>\n<p>        q &#061; 1-p<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bad\u7ec3\u65f6&#xff0c;\u5bf9\u6bcf\u4e2a\u6fc0\u6d3b\u503c\u72ec\u7acb\u91c7\u6837\u4e00\u4e2a\u4f2f\u52aa\u5229\u968f\u673a\u53d8\u91cf&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         \u223c<\/p>\n<p>         Bernoulli<\/p>\n<p>         \u2061<\/p>\n<p>         (<\/p>\n<p>         q<\/p>\n<p>         )<\/p>\n<p>        m_i \\\\sim \\\\operatorname{Bernoulli}(q)<\/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\">m<\/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\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Bernoulli<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         &#061;<\/p>\n<p>          {<\/p>\n<p>               1<\/p>\n<p>               ,<\/p>\n<p>               \u4ee5\u6982\u7387\u00a0<\/p>\n<p>               q<\/p>\n<p>               \u4fdd\u7559\u795e\u7ecf\u5143<\/p>\n<p>               0<\/p>\n<p>               ,<\/p>\n<p>               \u4ee5\u6982\u7387\u00a0<\/p>\n<p>               p<\/p>\n<p>               \u4e22\u5f03\u795e\u7ecf\u5143<\/p>\n<p>        m_i &#061; \\\\begin{cases} 1, &amp; \\\\text{\u4ee5\u6982\u7387 } q \\\\text{\u4fdd\u7559\u795e\u7ecf\u5143}\\\\\\\\ 0, &amp; \\\\text{\u4ee5\u6982\u7387 } p \\\\text{\u4e22\u5f03\u795e\u7ecf\u5143} \\\\end{cases}<\/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\">m<\/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: 3em;vertical-align: -1.25em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size4\">{<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.69em\"><span class=\"\" style=\"top: -3.69em\"><span class=\"pstrut\" style=\"height: 3.008em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><\/span><\/span><span class=\"\" style=\"top: -2.25em\"><span class=\"pstrut\" style=\"height: 3.008em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.19em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 1em\"><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.69em\"><span class=\"\" style=\"top: -3.69em\"><span class=\"pstrut\" style=\"height: 3.008em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4ee5\u6982\u7387<\/span><span class=\"mord\">\u00a0<\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4fdd\u7559\u795e\u7ecf\u5143<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.25em\"><span class=\"pstrut\" style=\"height: 3.008em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4ee5\u6982\u7387<\/span><span class=\"mord\">\u00a0<\/span><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4e22\u5f03\u795e\u7ecf\u5143<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.19em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u73b0\u4ee3\u6df1\u5ea6\u5b66\u4e60\u6846\u67b6\u901a\u5e38\u91c7\u7528 Inverted Dropout&#xff08;\u53cd\u5411\u7f29\u653e Dropout&#xff09;&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           h<\/p>\n<p>           ~<\/p>\n<p>          i<\/p>\n<p>         &#061;<\/p>\n<p>            m<\/p>\n<p>            i<\/p>\n<p>            h<\/p>\n<p>            i<\/p>\n<p>          q<\/p>\n<p>         &#061;<\/p>\n<p>            m<\/p>\n<p>            i<\/p>\n<p>            h<\/p>\n<p>            i<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>           p<\/p>\n<p>        \\\\tilde{h}_i &#061; \\\\frac{m_i h_i}{q} &#061; \\\\frac{m_i h_i}{1-p}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0813em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9313em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">h<\/span><\/span><span class=\"\" style=\"top: -3.6134em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">~<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t 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: 2.2519em;vertical-align: -0.8804em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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=\"mord\"><span class=\"mord mathnormal\">h<\/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 class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.2519em;vertical-align: -0.8804em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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=\"mord\"><span class=\"mord mathnormal\">h<\/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 class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4&#xff1a;<\/p>\n<li>\u8bad\u7ec3\u9636\u6bb5\u968f\u673a\u628a\u4e00\u90e8\u5206\u6fc0\u6d3b\u7f6e\u4e3a 0&#xff1b;<\/li>\n<li>\u672a\u88ab\u7f6e\u96f6\u7684\u6fc0\u6d3b\u4e58\u4ee5 <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          1<\/p>\n<p>          \/<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          \u2212<\/p>\n<p>          p<\/p>\n<p>          )<\/p>\n<p>         1\/(1-p)<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u63a8\u7406\u9636\u6bb5\u76f4\u63a5\u5173\u95ed Dropout&#xff0c;\u4e0d\u518d\u989d\u5916\u7f29\u653e\u3002<\/li>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260801010856-6a6d472873d83.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>\u4e3a\u4ec0\u4e48\u8981\u4e58\u4ee5 <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         1<\/p>\n<p>         \/<\/p>\n<p>         (<\/p>\n<p>         1<\/p>\n<p>         \u2212<\/p>\n<p>         p<\/p>\n<p>         )<\/p>\n<p>        1\/(1-p)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span>&#xff1f;<\/h4>\n<p>\u56e0\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         E<\/p>\n<p>         [<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         ]<\/p>\n<p>         &#061;<\/p>\n<p>         q<\/p>\n<p>        \\\\mathbb{E}[m_i] &#061; q<\/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 mathbb\">E<\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         E<\/p>\n<p>         [<\/p>\n<p>           h<\/p>\n<p>           ~<\/p>\n<p>          i<\/p>\n<p>         ]<\/p>\n<p>         &#061;<\/p>\n<p>         E<\/p>\n<p>          [<\/p>\n<p>             m<\/p>\n<p>             i<\/p>\n<p>             h<\/p>\n<p>             i<\/p>\n<p>           q<\/p>\n<p>          ]<\/p>\n<p>         &#061;<\/p>\n<p>           h<\/p>\n<p>           i<\/p>\n<p>          q<\/p>\n<p>         E<\/p>\n<p>         [<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         ]<\/p>\n<p>         &#061;<\/p>\n<p>          h<\/p>\n<p>          i<\/p>\n<p>        \\\\mathbb{E}[\\\\tilde{h}_i] &#061; \\\\mathbb{E}\\\\left[\\\\frac{m_i h_i}{q}\\\\right] &#061; \\\\frac{h_i}{q}\\\\mathbb{E}[m_i] &#061; h_i<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1813em;vertical-align: -0.25em\"><\/span><span class=\"mord mathbb\">E<\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9313em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">h<\/span><\/span><span class=\"\" style=\"top: -3.6134em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">~<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t 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: 2.4em;vertical-align: -0.95em\"><\/span><span class=\"mord mathbb\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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=\"mord\"><span class=\"mord mathnormal\">h<\/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 class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><span class=\"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: 2.2519em;vertical-align: -0.8804em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t 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 class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord mathbb\">E<\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/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><\/span><\/p>\n<p>\u56e0\u6b64&#xff0c;\u8bad\u7ec3\u9636\u6bb5\u7ecf\u8fc7\u968f\u673a\u4e22\u5f03\u548c\u7f29\u653e\u540e\u7684\u6fc0\u6d3b&#xff0c;\u5176\u671f\u671b\u503c\u4e0e\u539f\u59cb\u6fc0\u6d3b\u76f8\u540c\u3002<\/p>\n<p>\u8fd9\u8ba9\u8bad\u7ec3\u6a21\u5f0f\u548c\u63a8\u7406\u6a21\u5f0f\u4e4b\u95f4\u66f4\u5bb9\u6613\u8854\u63a5&#xff1a;<\/p>\n<ul>\n<li>\u8bad\u7ec3\u65f6&#xff1a; \u968f\u673a\u7f6e\u96f6\u5e76\u653e\u5927\u4fdd\u7559\u503c&#xff1b;<\/li>\n<li>\u63a8\u7406\u65f6&#xff1a; \u6240\u6709\u795e\u7ecf\u5143\u6b63\u5e38\u5de5\u4f5c&#xff0c;Dropout \u5c42\u7b49\u4ef7\u4e8e\u6052\u7b49\u6620\u5c04\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>3. \u4e3a\u4ec0\u4e48 Dropout \u80fd\u6291\u5236\u8fc7\u62df\u5408&#xff1f;<\/h3>\n<p>Dropout \u7684\u4f5c\u7528\u4e0d\u80fd\u53ea\u7406\u89e3\u6210\u201c\u5c11\u7528\u51e0\u4e2a\u795e\u7ecf\u5143\u201d\u3002\u5b83\u4e3b\u8981\u901a\u8fc7\u4ee5\u4e0b\u56db\u79cd\u76f8\u4e92\u5173\u8054\u7684\u673a\u5236\u6539\u5584\u6cdb\u5316\u3002<\/p>\n<h4>3.1 \u6253\u7834\u795e\u7ecf\u5143\u4e4b\u95f4\u7684\u5171\u540c\u9002\u5e94<\/h4>\n<p>\u6ca1\u6709 Dropout \u65f6&#xff0c;\u4e00\u4e2a\u795e\u7ecf\u5143\u53ef\u4ee5\u9ed8\u8ba4\u5176\u4ed6\u7279\u5b9a\u795e\u7ecf\u5143\u59cb\u7ec8\u5b58\u5728&#xff0c;\u4e8e\u662f\u5b83\u53ef\u80fd\u53ea\u5b66\u4e60\u4e00\u4e2a\u9ad8\u5ea6\u4f9d\u8d56\u4e0a\u4e0b\u6587\u7684\u8106\u5f31\u7279\u5f81\u3002<\/p>\n<p>\u52a0\u5165 Dropout \u540e&#xff0c;\u4efb\u4f55\u4e00\u4e2a\u642d\u6863\u90fd\u53ef\u80fd\u5728\u4e0b\u4e00\u6b21\u524d\u5411\u4f20\u64ad\u4e2d\u88ab\u5173\u95ed\u3002\u4e3a\u4e86\u7ee7\u7eed\u5b8c\u6210\u9884\u6d4b&#xff0c;\u795e\u7ecf\u5143\u4e0d\u80fd\u628a\u5e0c\u671b\u5168\u90e8\u5bc4\u6258\u5728\u67d0\u6761\u56fa\u5b9a\u8def\u5f84\u4e0a&#xff0c;\u800c\u5fc5\u987b\u5b66\u4e60\u5728\u4e0d\u540c\u4e0a\u4e0b\u6587\u4e2d\u90fd\u6709\u6548\u7684\u7279\u5f81\u3002<\/p>\n<p>\u53ef\u4ee5\u628a\u5b83\u7406\u89e3\u6210\u56e2\u961f\u534f\u4f5c&#xff1a;<\/p>\n<ul>\n<li>\u6ca1\u6709 Dropout&#xff1a;\u6bcf\u4e2a\u4eba\u53ea\u4f1a\u5b8c\u6210\u6781\u7a84\u7684\u4e00\u5c0f\u6b65&#xff0c;\u4efb\u4f55\u4eba\u7f3a\u5e2d\u90fd\u4f1a\u8ba9\u6d41\u7a0b\u4e2d\u65ad&#xff1b;<\/li>\n<li>\u4f7f\u7528 Dropout&#xff1a;\u6210\u5458\u7ecf\u5e38\u968f\u673a\u7f3a\u5e2d&#xff0c;\u56e0\u6b64\u6bcf\u4e2a\u4eba\u90fd\u5fc5\u987b\u5177\u5907\u66f4\u72ec\u7acb\u3001\u66f4\u53ef\u66ff\u4ee3\u7684\u80fd\u529b\u3002<\/li>\n<\/ul>\n<p>\u7ed3\u679c\u901a\u5e38\u662f\u9690\u85cf\u8868\u793a\u66f4\u5197\u4f59&#xff0c;\u4f46\u4e5f\u66f4\u7a33\u5065\u3002<\/p>\n<h4>3.2 \u6bcf\u6b21\u66f4\u65b0\u90fd\u5728\u8bad\u7ec3\u4e00\u4e2a\u4e0d\u540c\u7684\u5b50\u7f51\u7edc<\/h4>\n<p>\u5982\u679c\u4e00\u5c42\u6709 <span class=\"katex--display\"><span class=\"katex-display\"><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><\/span> \u4e2a\u53ef\u88ab\u4e22\u5f03\u7684\u795e\u7ecf\u5143&#xff0c;\u4ece\u7ec4\u5408\u610f\u4e49\u4e0a\u8bf4&#xff0c;\u7406\u8bba\u4e0a\u53ef\u4ee5\u4ea7\u751f\u5927\u91cf\u4e0d\u540c\u7684\u4fdd\u7559\/\u4e22\u5f03\u6a21\u5f0f\u3002<\/p>\n<p>\u6bcf\u4e2a mini-batch \u90fd\u4f1a\u91c7\u6837\u4e00\u4e2a\u65b0\u7684\u63a9\u7801&#xff0c;\u56e0\u6b64\u53c2\u6570\u66f4\u65b0\u5e76\u4e0d\u662f\u53ea\u9488\u5bf9\u540c\u4e00\u4e2a\u56fa\u5b9a\u7f51\u7edc&#xff0c;\u800c\u662f\u5728\u5927\u91cf\u5171\u4eab\u53c2\u6570\u7684\u5b50\u7f51\u7edc\u4e4b\u95f4\u4ea4\u66ff\u8fdb\u884c\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260801010857-6a6d472970097.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8fd9\u5e26\u6765\u4e00\u79cd\u7c7b\u4f3c\u6a21\u578b\u96c6\u6210\u7684\u6548\u679c&#xff1a;<\/p>\n<ul>\n<li>\u4e0d\u540c\u5b50\u7f51\u7edc\u770b\u5230\u76f8\u540c\u6570\u636e&#xff1b;<\/li>\n<li>\u5b83\u4eec\u5171\u4eab\u53c2\u6570&#xff0c;\u4e0d\u9700\u8981\u5206\u522b\u5b58\u50a8&#xff1b;<\/li>\n<li>\u63a8\u7406\u65f6\u4f7f\u7528\u5b8c\u6574\u7f51\u7edc&#xff0c;\u8fd1\u4f3c\u6574\u5408\u8bb8\u591a\u5b50\u7f51\u7edc\u7684\u9884\u6d4b\u3002<\/li>\n<\/ul>\n<p>\u9700\u8981\u6ce8\u610f&#xff1a;\u8fd9\u662f\u4e00\u79cd\u8fd1\u4f3c\u89e3\u91ca&#xff0c;\u5e76\u4e0d\u610f\u5473\u7740\u5b9e\u9645\u90e8\u7f72\u65f6\u771f\u7684\u679a\u4e3e\u5e76\u5e73\u5747\u6240\u6709\u5b50\u7f51\u7edc\u3002<\/p>\n<h4>3.3 \u5411\u6fc0\u6d3b\u4e2d\u6ce8\u5165\u4e58\u6027\u566a\u58f0<\/h4>\n<p>Dropout \u53ef\u4ee5\u5199\u6210&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          h<\/p>\n<p>          ~<\/p>\n<p>         &#061;<\/p>\n<p>         h<\/p>\n<p>         \u2299<\/p>\n<p>          m<\/p>\n<p>          q<\/p>\n<p>        \\\\tilde{\\\\mathbf{h}} &#061; \\\\mathbf{h} \\\\odot \\\\frac{\\\\mathbf{m}}{q}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9313em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9313em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathbf\">h<\/span><\/span><span class=\"\" style=\"top: -3.6134em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">~<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathbf\">h<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2299<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0019em;vertical-align: -0.8804em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2299<\/p>\n<p>        \\\\odot<\/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\">\u2299<\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u9010\u5143\u7d20\u4e58\u6cd5\u3002<\/p>\n<p>\u56e0\u6b64&#xff0c;Dropout \u672c\u8d28\u4e0a\u662f\u5728\u9690\u85cf\u8868\u793a\u4e2d\u6ce8\u5165\u968f\u673a\u7684\u4e58\u6027\u566a\u58f0\u3002\u6a21\u578b\u5982\u679c\u60f3\u5728\u8fd9\u79cd\u6270\u52a8\u4e0b\u4ecd\u7136\u4fdd\u6301\u4f4e\u635f\u5931&#xff0c;\u5c31\u5fc5\u987b\u8ba9\u51b3\u7b56\u51fd\u6570\u5bf9\u90e8\u5206\u7279\u5f81\u7f3a\u5931\u66f4\u52a0\u4e0d\u654f\u611f\u3002<\/p>\n<p>\u8fd9\u79cd\u201c\u5bf9\u6270\u52a8\u4fdd\u6301\u7a33\u5b9a\u201d\u7684\u8981\u6c42&#xff0c;\u672c\u8eab\u5c31\u662f\u4e00\u79cd\u6b63\u5219\u5316\u7ea6\u675f\u3002<\/p>\n<h4>3.4 \u964d\u4f4e\u6bcf\u4e00\u6b65\u8bad\u7ec3\u4e2d\u7684\u6709\u6548\u5bb9\u91cf<\/h4>\n<p>Dropout \u4e0d\u4f1a\u5220\u9664\u6743\u91cd&#xff0c;\u4e5f\u4e0d\u4f1a\u51cf\u5c11\u6a21\u578b\u7684\u53c2\u6570\u603b\u91cf&#xff0c;\u4f46\u5728\u67d0\u4e00\u6b21\u8bad\u7ec3\u524d\u5411\u4f20\u64ad\u4e2d&#xff0c;\u53ea\u6709\u90e8\u5206\u795e\u7ecf\u5143\u548c\u8fde\u63a5\u5b9e\u9645\u53c2\u4e0e\u8ba1\u7b97\u3002<\/p>\n<p>\u56e0\u6b64&#xff0c;\u6bcf\u6b21\u53c2\u6570\u66f4\u65b0\u6240\u5bf9\u5e94\u7684\u6709\u6548\u5b50\u7f51\u7edc\u6bd4\u5b8c\u6574\u7f51\u7edc\u66f4\u5c0f\u3002\u6a21\u578b\u4ecd\u7136\u62e5\u6709\u5b8c\u6574\u5bb9\u91cf&#xff0c;\u4f46\u65e0\u6cd5\u8ba9\u5168\u90e8\u5bb9\u91cf\u5728\u6bcf\u4e2a\u6837\u672c\u4e0a\u65e0\u6761\u4ef6\u534f\u540c\u5de5\u4f5c\u3002<\/p>\n<p>\u8fd9\u4f1a\u589e\u52a0\u8bad\u7ec3\u96be\u5ea6&#xff0c;\u5374\u5f80\u5f80\u80fd\u963b\u6b62\u6a21\u578b\u8fc7\u65e9\u8bb0\u4f4f\u8bad\u7ec3\u96c6\u4e2d\u7684\u5076\u7136\u7ec6\u8282\u3002<\/p>\n<hr \/>\n<h3>4. Dropout \u5982\u4f55\u6539\u53d8\u8bad\u7ec3\u66f2\u7ebf&#xff1f;<\/h3>\n<p>\u52a0\u5165 Dropout \u540e&#xff0c;\u5e38\u89c1\u73b0\u8c61\u662f&#xff1a;<\/p>\n<ul>\n<li>\u8bad\u7ec3\u635f\u5931\u4e0b\u964d\u5f97\u66f4\u6162&#xff1b;<\/li>\n<li>\u8bad\u7ec3\u51c6\u786e\u7387\u53ef\u80fd\u66f4\u4f4e&#xff1b;<\/li>\n<li>\u9a8c\u8bc1\u635f\u5931\u66f4\u52a0\u7a33\u5b9a&#xff1b;<\/li>\n<li>\u8bad\u7ec3\u96c6\u4e0e\u9a8c\u8bc1\u96c6\u4e4b\u95f4\u7684\u5dee\u8ddd\u7f29\u5c0f\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260801010858-6a6d472aa3775.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e0a\u56fe\u662f\u7528\u4e8e\u8bf4\u660e\u8d8b\u52bf\u7684\u793a\u610f\u66f2\u7ebf&#xff0c;\u4e0d\u662f\u7279\u5b9a\u6570\u636e\u96c6\u4e0a\u7684\u5b9e\u9a8c\u7ed3\u679c\u3002<\/p>\n<p>\u4e00\u4e2a\u5bb9\u6613\u4ea7\u751f\u8bef\u89e3\u7684\u5730\u65b9\u662f&#xff1a;\u4f7f\u7528 Dropout \u540e&#xff0c;\u8bad\u7ec3\u6307\u6807\u6682\u65f6\u53d8\u5dee\u5e76\u4e0d\u4e00\u5b9a\u610f\u5473\u7740\u6a21\u578b\u9000\u5316\u3002\u6b63\u5219\u5316\u7684\u76ee\u6807\u672c\u6765\u5c31\u4e0d\u662f\u8ba9\u8bad\u7ec3\u96c6\u5206\u6570\u6700\u5927&#xff0c;\u800c\u662f\u8ba9\u672a\u89c1\u6570\u636e\u4e0a\u7684\u8bef\u5dee\u66f4\u5c0f\u3002<\/p>\n<hr \/>\n<h3>5. \u4ece\u96f6\u5b9e\u73b0 Inverted Dropout<\/h3>\n<p>\u4e0b\u9762\u7528 NumPy \u5b9e\u73b0\u6700\u6838\u5fc3\u7684\u903b\u8f91&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">dropout<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">:<\/span> np<span class=\"token punctuation\">.<\/span>ndarray<span class=\"token punctuation\">,<\/span> p<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">float<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.5<\/span><span class=\"token punctuation\">,<\/span> training<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">bool<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> np<span class=\"token punctuation\">.<\/span>ndarray<span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    Inverted Dropout\u3002<\/p>\n<p>    \u53c2\u6570:<br \/>\n        x: \u8f93\u5165\u6fc0\u6d3b\u3002<br \/>\n        p: \u4e22\u5f03\u6982\u7387&#xff0c;\u5fc5\u987b\u6ee1\u8db3 0 &lt;&#061; p &lt; 1\u3002<br \/>\n        training: \u662f\u5426\u5904\u4e8e\u8bad\u7ec3\u6a21\u5f0f\u3002<\/p>\n<p>    \u8fd4\u56de:<br \/>\n        \u7ecf\u8fc7 Dropout \u5904\u7406\u7684\u6570\u7ec4\u3002<br \/>\n    &#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token number\">0.0<\/span> <span class=\"token operator\">&lt;&#061;<\/span> p <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;p \u5fc5\u987b\u6ee1\u8db3 0 &lt;&#061; p &lt; 1&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> training <span class=\"token keyword\">or<\/span> p <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0.0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> x<\/p>\n<p>    keep_prob <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1.0<\/span> <span class=\"token operator\">&#8211;<\/span> p<br \/>\n    mask <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&lt;<\/span> keep_prob<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>astype<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">.<\/span>dtype<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> x <span class=\"token operator\">*<\/span> mask <span class=\"token operator\">\/<\/span> keep_prob<\/p>\n<p>\u4e00\u6b21\u7b80\u5355\u6d4b\u8bd5&#xff1a;<\/p>\n<p>np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>seed<span class=\"token punctuation\">(<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>x <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>ones<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> dtype<span class=\"token operator\">&#061;<\/span>np<span class=\"token punctuation\">.<\/span>float32<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>dropout<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> p<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.5<\/span><span class=\"token punctuation\">,<\/span> training<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u8f93\u51fa\u4e2d\u5927\u7ea6\u4e00\u534a\u5143\u7d20\u4f1a\u88ab\u7f6e\u4e3a 0&#xff0c;\u5176\u4f59\u5143\u7d20\u4f1a\u88ab\u653e\u5927\u4e3a 2\u3002\u867d\u7136\u5355\u6b21\u8f93\u51fa\u7684\u5747\u503c\u4f1a\u6709\u968f\u673a\u6ce2\u52a8&#xff0c;\u4f46\u91cd\u590d\u91c7\u6837\u540e\u7684\u671f\u671b\u4ecd\u63a5\u8fd1\u539f\u8f93\u5165\u3002<\/p>\n<hr \/>\n<h3>6. PyTorch \u4e2d\u7684\u5b9e\u73b0<\/h3>\n<h4>6.1 \u5728\u7f51\u7edc\u7ed3\u6784\u4e2d\u4f7f\u7528 nn.Dropout<\/h4>\n<p><span class=\"token keyword\">import<\/span> torch<br \/>\n<span class=\"token keyword\">from<\/span> torch <span class=\"token keyword\">import<\/span> nn<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">MLP<\/span><span class=\"token punctuation\">(<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> input_dim<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> num_classes<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token builtin\">super<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>__init__<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>network <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>Sequential<span class=\"token punctuation\">(<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span>input_dim<span class=\"token punctuation\">,<\/span> <span class=\"token number\">256<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>ReLU<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>Dropout<span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span><span class=\"token number\">256<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">128<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>ReLU<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>Dropout<span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span><span class=\"token number\">128<\/span><span class=\"token punctuation\">,<\/span> num_classes<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">forward<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> self<span class=\"token punctuation\">.<\/span>network<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><\/p>\n<p>model <span class=\"token operator\">&#061;<\/span> MLP<span class=\"token punctuation\">(<\/span>input_dim<span class=\"token operator\">&#061;<\/span><span class=\"token number\">784<\/span><span class=\"token punctuation\">,<\/span> num_classes<span class=\"token operator\">&#061;<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>6.2 \u8bad\u7ec3\u548c\u63a8\u7406\u6a21\u5f0f\u5fc5\u987b\u5207\u6362<\/h4>\n<p><span class=\"token comment\"># \u8bad\u7ec3\u9636\u6bb5&#xff1a;Dropout \u751f\u6548<\/span><br \/>\nmodel<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> inputs<span class=\"token punctuation\">,<\/span> labels <span class=\"token keyword\">in<\/span> train_loader<span class=\"token punctuation\">:<\/span><br \/>\n    optimizer<span class=\"token punctuation\">.<\/span>zero_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    logits <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>inputs<span class=\"token punctuation\">)<\/span><br \/>\n    loss <span class=\"token operator\">&#061;<\/span> criterion<span class=\"token punctuation\">(<\/span>logits<span class=\"token punctuation\">,<\/span> labels<span class=\"token punctuation\">)<\/span><br \/>\n    loss<span class=\"token punctuation\">.<\/span>backward<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    optimizer<span class=\"token punctuation\">.<\/span>step<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u9a8c\u8bc1\u6216\u63a8\u7406\u9636\u6bb5&#xff1a;Dropout \u5173\u95ed<\/span><br \/>\nmodel<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">eval<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> inputs<span class=\"token punctuation\">,<\/span> labels <span class=\"token keyword\">in<\/span> val_loader<span class=\"token punctuation\">:<\/span><br \/>\n        logits <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>inputs<span class=\"token punctuation\">)<\/span><\/p>\n<p>model.eval() \u4e0d\u4f1a\u5173\u95ed\u68af\u5ea6&#xff0c;\u56e0\u6b64\u9a8c\u8bc1\u9636\u6bb5\u901a\u5e38\u8fd8\u8981\u914d\u5408 torch.no_grad()\u3002\u4e24\u8005\u4f5c\u7528\u4e0d\u540c&#xff1a;<\/p>\n<ul>\n<li>model.eval()&#xff1a;\u5207\u6362 Dropout\u3001BatchNorm \u7b49\u6a21\u5757\u7684\u884c\u4e3a&#xff1b;<\/li>\n<li>torch.no_grad()&#xff1a;\u505c\u6b62\u6784\u5efa\u81ea\u52a8\u6c42\u5bfc\u56fe&#xff0c;\u51cf\u5c11\u5185\u5b58\u548c\u8ba1\u7b97\u5f00\u9500\u3002<\/li>\n<\/ul>\n<h4>6.3 \u51fd\u6570\u5f0f\u8c03\u7528<\/h4>\n<p><span class=\"token keyword\">import<\/span> torch<span class=\"token punctuation\">.<\/span>nn<span class=\"token punctuation\">.<\/span>functional <span class=\"token keyword\">as<\/span> F<\/p>\n<p>x <span class=\"token operator\">&#061;<\/span> F<span class=\"token punctuation\">.<\/span>dropout<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> p<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.5<\/span><span class=\"token punctuation\">,<\/span> training<span class=\"token operator\">&#061;<\/span>self<span class=\"token punctuation\">.<\/span>training<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5173\u952e\u662f\u628a\u6a21\u5757\u5f53\u524d\u7684 self.training \u72b6\u6001\u4f20\u8fdb\u53bb&#xff0c;\u5426\u5219\u5f88\u5bb9\u6613\u5728\u63a8\u7406\u9636\u6bb5\u4ecd\u7136\u968f\u673a\u4e22\u5f03\u6fc0\u6d3b\u3002<\/p>\n<hr \/>\n<h3>7. Keras \u4e2d\u7684\u5b9e\u73b0<\/h3>\n<p><span class=\"token keyword\">import<\/span> keras<br \/>\n<span class=\"token keyword\">from<\/span> keras <span class=\"token keyword\">import<\/span> layers<\/p>\n<p>model <span class=\"token operator\">&#061;<\/span> keras<span class=\"token punctuation\">.<\/span>Sequential<span class=\"token punctuation\">(<\/span><br \/>\n    <span class=\"token punctuation\">[<\/span><br \/>\n        layers<span class=\"token punctuation\">.<\/span>Input<span class=\"token punctuation\">(<\/span>shape<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">784<\/span><span class=\"token punctuation\">,<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        layers<span class=\"token punctuation\">.<\/span>Dense<span class=\"token punctuation\">(<\/span><span class=\"token number\">256<\/span><span class=\"token punctuation\">,<\/span> activation<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;relu&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        layers<span class=\"token punctuation\">.<\/span>Dropout<span class=\"token punctuation\">(<\/span><span class=\"token number\">0.5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        layers<span class=\"token punctuation\">.<\/span>Dense<span class=\"token punctuation\">(<\/span><span class=\"token number\">128<\/span><span class=\"token punctuation\">,<\/span> activation<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;relu&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        layers<span class=\"token punctuation\">.<\/span>Dropout<span class=\"token punctuation\">(<\/span><span class=\"token number\">0.3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        layers<span class=\"token punctuation\">.<\/span>Dense<span class=\"token punctuation\">(<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token punctuation\">)<\/span><\/p>\n<p>model<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">compile<\/span><span class=\"token punctuation\">(<\/span><br \/>\n    optimizer<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;adam&#034;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    loss<span class=\"token operator\">&#061;<\/span>keras<span class=\"token punctuation\">.<\/span>losses<span class=\"token punctuation\">.<\/span>SparseCategoricalCrossentropy<span class=\"token punctuation\">(<\/span>from_logits<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    metrics<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;accuracy&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span><br \/>\n<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u4f7f\u7528 model.fit() \u65f6&#xff0c;Keras \u4f1a\u81ea\u52a8\u5728\u8bad\u7ec3\u9636\u6bb5\u542f\u7528 Dropout&#xff0c;\u5728\u9a8c\u8bc1\u548c\u63a8\u7406\u9636\u6bb5\u5173\u95ed Dropout\u3002<\/p>\n<p>\u624b\u52a8\u8c03\u7528\u5c42\u65f6&#xff0c;\u4e5f\u53ef\u4ee5\u663e\u5f0f\u6307\u5b9a&#xff1a;<\/p>\n<p>dropout <span class=\"token operator\">&#061;<\/span> layers<span class=\"token punctuation\">.<\/span>Dropout<span class=\"token punctuation\">(<\/span><span class=\"token number\">0.5<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>training_output <span class=\"token operator\">&#061;<\/span> dropout<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> training<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\ninference_output <span class=\"token operator\">&#061;<\/span> dropout<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> training<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<hr \/>\n<h3>8. Dropout \u5e94\u8be5\u653e\u5728\u54ea\u91cc&#xff1f;<\/h3>\n<p>\u5728\u666e\u901a\u591a\u5c42\u611f\u77e5\u673a\u4e2d&#xff0c;\u5e38\u89c1\u5199\u6cd5\u662f&#xff1a;<\/p>\n<p>Linear \u2192 Activation \u2192 Dropout<\/p>\n<p>\u4f8b\u5982&#xff1a;<\/p>\n<p>nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span><span class=\"token number\">256<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">128<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\nnn<span class=\"token punctuation\">.<\/span>ReLU<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\nnn<span class=\"token punctuation\">.<\/span>Dropout<span class=\"token punctuation\">(<\/span><span class=\"token number\">0.3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><\/p>\n<p>\u5728\u542b Batch Normalization \u7684\u7f51\u7edc\u4e2d&#xff0c;\u5e38\u89c1\u987a\u5e8f\u4e4b\u4e00\u662f&#xff1a;<\/p>\n<p>Linear\/Conv \u2192 BatchNorm \u2192 Activation \u2192 Dropout<\/p>\n<p>\u4f46\u8fd9\u4e0d\u662f\u4e0d\u53ef\u6539\u53d8\u7684\u5b9a\u5f8b\u3002\u5c42\u987a\u5e8f\u4f1a\u5f71\u54cd\u6fc0\u6d3b\u5206\u5e03\u548c\u4f18\u5316\u8fc7\u7a0b&#xff0c;\u6700\u7ec8\u4ecd\u5e94\u901a\u8fc7\u9a8c\u8bc1\u96c6\u6216\u6d88\u878d\u5b9e\u9a8c\u786e\u8ba4\u3002<\/p>\n<h4>\u5377\u79ef\u7f51\u7edc\u4e2d\u7684\u9009\u62e9<\/h4>\n<p>\u666e\u901a Dropout \u4f1a\u968f\u673a\u7f6e\u96f6\u5355\u4e2a\u5143\u7d20\u3002\u5bf9\u4e8e\u5377\u79ef\u7279\u5f81\u56fe&#xff0c;\u76f8\u90bb\u50cf\u7d20\u5f80\u5f80\u9ad8\u5ea6\u76f8\u5173&#xff0c;\u5355\u72ec\u4e22\u5f03\u5c11\u6570\u50cf\u7d20\u53ef\u80fd\u4f5c\u7528\u6709\u9650&#xff0c;\u56e0\u6b64\u53ef\u4ee5\u8003\u8651\u6309\u901a\u9053\u4e22\u5f03&#xff1a;<\/p>\n<p>nn<span class=\"token punctuation\">.<\/span>Dropout2d<span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.2<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5728 Keras \u4e2d\u53ef\u8003\u8651&#xff1a;<\/p>\n<p>layers<span class=\"token punctuation\">.<\/span>SpatialDropout2D<span class=\"token punctuation\">(<\/span><span class=\"token number\">0.2<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u8fd9\u7c7b\u53d8\u4f53\u4f1a\u4e22\u5f03\u6574\u4e2a\u7279\u5f81\u901a\u9053&#xff0c;\u66f4\u9002\u5408\u90e8\u5206\u5377\u79ef\u7f51\u7edc\u3002<\/p>\n<hr \/>\n<h3>9. \u4e22\u5f03\u7387 <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         p<\/p>\n<p>        p<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">p<\/span><\/span><\/span><\/span><\/span><\/span> \u5e94\u8be5\u5982\u4f55\u9009\u62e9&#xff1f;<\/h3>\n<p>\u5e38\u89c1\u8d77\u70b9\u5982\u4e0b&#xff0c;\u4f46\u4e0d\u662f\u786c\u6027\u89c4\u5219&#xff1a;<\/p>\n<table>\n<tr>\u573a\u666f\u53ef\u5c1d\u8bd5\u7684\u4e22\u5f03\u7387<\/tr>\n<tbody>\n<tr>\n<td>\u8f93\u5165\u5c42<\/td>\n<td align=\"right\">0.05&#xff5e;0.2<\/td>\n<\/tr>\n<tr>\n<td>MLP \u9690\u85cf\u5c42<\/td>\n<td align=\"right\">0.2&#xff5e;0.5<\/td>\n<\/tr>\n<tr>\n<td>\u5377\u79ef\u7f51\u7edc<\/td>\n<td align=\"right\">0.1&#xff5e;0.3<\/td>\n<\/tr>\n<tr>\n<td>\u6570\u636e\u5f88\u5c11\u3001\u6a21\u578b\u5f88\u5927<\/td>\n<td align=\"right\">\u53ef\u9002\u5f53\u63d0\u9ad8<\/td>\n<\/tr>\n<tr>\n<td>\u5df2\u6709\u8f83\u5f3a\u6570\u636e\u589e\u5f3a\u548c\u6743\u91cd\u8870\u51cf<\/td>\n<td align=\"right\">\u53ef\u9002\u5f53\u964d\u4f4e<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u8c03\u53c2\u65f6\u53ef\u4ee5\u89c2\u5bdf&#xff1a;<\/p>\n<li>\u8bad\u7ec3\u548c\u9a8c\u8bc1\u90fd\u5f88\u5dee&#xff1a; \u53ef\u80fd Dropout \u592a\u5f3a&#xff0c;\u5bfc\u81f4\u6b20\u62df\u5408&#xff1b;<\/li>\n<li>\u8bad\u7ec3\u5f88\u597d\u3001\u9a8c\u8bc1\u660e\u663e\u53d8\u5dee&#xff1a; \u53ef\u4ee5\u63d0\u9ad8 Dropout&#xff0c;\u6216\u7ed3\u5408\u6743\u91cd\u8870\u51cf\u3001\u6570\u636e\u589e\u5f3a&#xff1b;<\/li>\n<li>\u8bad\u7ec3\u8fc7\u7a0b\u975e\u5e38\u4e0d\u7a33\u5b9a&#xff1a; \u53ef\u4ee5\u964d\u4f4e\u4e22\u5f03\u7387&#xff0c;\u6216\u8c03\u6574\u5b66\u4e60\u7387&#xff1b;<\/li>\n<li>\u6a21\u578b\u672c\u8eab\u5f88\u5c0f&#xff1a; Dropout \u53ef\u80fd\u4e0d\u5fc5\u8981&#xff0c;\u751a\u81f3\u635f\u5bb3\u6027\u80fd\u3002<\/li>\n<p>\u901a\u5e38\u4e0d\u5efa\u8bae\u4e00\u5f00\u59cb\u5c31\u628a\u6240\u6709\u5c42\u90fd\u8bbe\u7f6e\u6210 p&#061;0.5\u3002\u8d8a\u63a5\u8fd1\u8f93\u51fa\u7684\u9ad8\u5c42\u8868\u793a&#xff0c;\u662f\u5426\u9700\u8981\u8f83\u5f3a Dropout&#xff0c;\u4e5f\u53d6\u51b3\u4e8e\u4efb\u52a1\u3001\u6570\u636e\u89c4\u6a21\u548c\u7f51\u7edc\u7ed3\u6784\u3002<\/p>\n<hr \/>\n<h3>10. \u5e38\u89c1\u8bef\u533a<\/h3>\n<h4>\u8bef\u533a\u4e00&#xff1a;Dropout \u4f1a\u51cf\u5c11\u53c2\u6570\u91cf<\/h4>\n<p>\u4e0d\u4f1a\u3002Dropout \u53ea\u5728\u524d\u5411\u4f20\u64ad\u4e2d\u4e34\u65f6\u628a\u6fc0\u6d3b\u7f6e\u96f6&#xff0c;\u6743\u91cd\u77e9\u9635\u4ecd\u7136\u5b8c\u6574\u5b58\u5728&#xff0c;\u53c2\u6570\u6570\u91cf\u4e0d\u53d8\u3002<\/p>\n<h4>\u8bef\u533a\u4e8c&#xff1a;\u88ab\u4e22\u5f03\u7684\u6743\u91cd\u4e0d\u4f1a\u518d\u8bad\u7ec3<\/h4>\n<p>\u67d0\u6b21\u524d\u5411\u4f20\u64ad\u4e2d&#xff0c;\u4e0e\u88ab\u5173\u95ed\u795e\u7ecf\u5143\u76f8\u5173\u7684\u68af\u5ea6\u53ef\u80fd\u4e3a\u96f6&#xff1b;\u4e0b\u4e00\u6b21\u91c7\u6837\u65f6&#xff0c;\u8fd9\u4e9b\u795e\u7ecf\u5143\u53ef\u80fd\u91cd\u65b0\u542f\u7528\u5e76\u7ee7\u7eed\u53c2\u4e0e\u8bad\u7ec3\u3002<\/p>\n<h4>\u8bef\u533a\u4e09&#xff1a;\u63a8\u7406\u65f6\u4e5f\u5e94\u8be5\u968f\u673a\u4e22\u5f03<\/h4>\n<p>\u6807\u51c6\u63a8\u7406\u4e2d\u5e94\u5173\u95ed Dropout\u3002\u5426\u5219\u540c\u4e00\u4e2a\u8f93\u5165\u4f1a\u5f97\u5230\u968f\u673a\u53d8\u5316\u7684\u8f93\u51fa\u3002<\/p>\n<p>\u4e00\u4e2a\u4f8b\u5916\u662f Monte Carlo Dropout&#xff1a;\u6709\u65f6\u4f1a\u5728\u63a8\u7406\u9636\u6bb5\u6545\u610f\u4fdd\u6301 Dropout&#xff0c;\u591a\u6b21\u91c7\u6837\u9884\u6d4b&#xff0c;\u7528\u9884\u6d4b\u5206\u5e03\u8fd1\u4f3c\u8861\u91cf\u4e0d\u786e\u5b9a\u6027\u3002\u8fd9\u5c5e\u4e8e\u989d\u5916\u65b9\u6cd5&#xff0c;\u4e0d\u662f\u666e\u901a\u90e8\u7f72\u6d41\u7a0b\u3002<\/p>\n<h4>\u8bef\u533a\u56db&#xff1a;Dropout \u8d8a\u5927&#xff0c;\u6b63\u5219\u5316\u8d8a\u597d<\/h4>\n<p>\u8fc7\u5f3a\u7684 Dropout \u4f1a\u7834\u574f\u8fc7\u591a\u4fe1\u606f&#xff0c;\u4f7f\u4f18\u5316\u56f0\u96be\u5e76\u5bfc\u81f4\u6b20\u62df\u5408\u3002\u6b63\u5219\u5316\u5f3a\u5ea6\u9700\u8981\u4e0e\u6a21\u578b\u5bb9\u91cf\u548c\u6570\u636e\u89c4\u6a21\u5339\u914d\u3002<\/p>\n<h4>\u8bef\u533a\u4e94&#xff1a;\u6709\u4e86 Dropout \u5c31\u4e0d\u9700\u8981\u5176\u4ed6\u65b9\u6cd5<\/h4>\n<p>Dropout \u53ea\u662f\u6b63\u5219\u5316\u5de5\u5177\u4e4b\u4e00\u3002\u5b9e\u9645\u9879\u76ee\u4e2d\u901a\u5e38\u8fd8\u4f1a\u7ec4\u5408&#xff1a;<\/p>\n<ul>\n<li>\u6570\u636e\u589e\u5f3a&#xff1b;<\/li>\n<li>\u6743\u91cd\u8870\u51cf&#xff1b;<\/li>\n<li>Early Stopping&#xff1b;<\/li>\n<li>\u964d\u4f4e\u6a21\u578b\u89c4\u6a21&#xff1b;<\/li>\n<li>\u589e\u52a0\u6570\u636e\u91cf&#xff1b;<\/li>\n<li>\u6807\u7b7e\u5e73\u6ed1&#xff1b;<\/li>\n<li>\u66f4\u5408\u7406\u7684\u9a8c\u8bc1\u96c6\u5212\u5206\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>11. Dropout \u7684\u5c40\u9650\u6027<\/h3>\n<p>Dropout \u5e76\u4e0d\u662f\u6240\u6709\u7f51\u7edc\u7684\u9ed8\u8ba4\u6700\u4f18\u9009\u62e9\u3002<\/p>\n<ul>\n<li>\u5728\u90e8\u5206\u73b0\u4ee3\u5377\u79ef\u7f51\u7edc\u4e2d&#xff0c;\u5f3a\u6570\u636e\u589e\u5f3a\u3001\u5f52\u4e00\u5316\u548c\u6743\u91cd\u8870\u51cf\u5df2\u7ecf\u80fd\u591f\u63d0\u4f9b\u8db3\u591f\u6b63\u5219\u5316&#xff1b;<\/li>\n<li>\u5728\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\u4e2d&#xff0c;\u65f6\u95f4\u6b65\u4e4b\u95f4\u5982\u4f55\u5171\u4eab\u63a9\u7801\u4f1a\u5f71\u54cd\u6548\u679c&#xff0c;\u4e0d\u80fd\u7b80\u5355\u5730\u5bf9\u6240\u6709\u5faa\u73af\u8fde\u63a5\u72ec\u7acb\u968f\u673a\u4e22\u5f03&#xff1b;<\/li>\n<li>\u5728\u5c0f\u6a21\u578b\u6216\u672c\u8eab\u6b20\u62df\u5408\u7684\u4efb\u52a1\u4e2d&#xff0c;Dropout \u53ef\u80fd\u7ee7\u7eed\u964d\u4f4e\u6709\u6548\u5bb9\u91cf&#xff1b;<\/li>\n<li>Dropout \u4f1a\u7ed9\u68af\u5ea6\u5f15\u5165\u989d\u5916\u968f\u673a\u6027&#xff0c;\u8bad\u7ec3\u5f80\u5f80\u9700\u8981\u66f4\u591a\u8f6e\u6b21&#xff1b;<\/li>\n<li>\u4e0e BatchNorm \u4e00\u8d77\u4f7f\u7528\u65f6&#xff0c;\u4e24\u8005\u90fd\u6539\u53d8\u6fc0\u6d3b\u7edf\u8ba1&#xff0c;\u8fc7\u5f3a\u7ec4\u5408\u53ef\u80fd\u4f7f\u8bad\u7ec3\u548c\u63a8\u7406\u5206\u5e03\u66f4\u96be\u5339\u914d\u3002<\/li>\n<\/ul>\n<p>\u56e0\u6b64&#xff0c;Dropout \u5e94\u88ab\u770b\u4f5c\u4e00\u79cd\u53ef\u9a8c\u8bc1\u7684\u8bbe\u8ba1\u9009\u62e9&#xff0c;\u800c\u4e0d\u662f\u5fc5\u987b\u6dfb\u52a0\u7684\u56fa\u5b9a\u7ec4\u4ef6\u3002<\/p>\n<hr \/>\n<h3>12. \u603b\u7ed3<\/h3>\n<p>Dropout \u80fd\u6291\u5236\u8fc7\u62df\u5408&#xff0c;\u6838\u5fc3\u4e0d\u662f\u7b80\u5355\u5730\u201c\u5220\u9664\u795e\u7ecf\u5143\u201d&#xff0c;\u800c\u662f\u8bad\u7ec3\u9636\u6bb5\u6301\u7eed\u6539\u53d8\u7f51\u7edc\u7ed3\u6784&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>               h<\/p>\n<p>               ~<\/p>\n<p>              &#061;<\/p>\n<p>                m<\/p>\n<p>                \u2299<\/p>\n<p>                h<\/p>\n<p>                1<\/p>\n<p>                \u2212<\/p>\n<p>                p<\/p>\n<p>              ,<\/p>\n<p>               m<\/p>\n<p>               i<\/p>\n<p>              \u223c<\/p>\n<p>              Bernoulli<\/p>\n<p>              \u2061<\/p>\n<p>              (<\/p>\n<p>              1<\/p>\n<p>              \u2212<\/p>\n<p>              p<\/p>\n<p>              )<\/p>\n<p>        \\\\boxed{ \\\\tilde{\\\\mathbf{h}} &#061; \\\\frac{\\\\mathbf{m}\\\\odot\\\\mathbf{h}}{1-p}, \\\\qquad m_i \\\\sim \\\\operatorname{Bernoulli}(1-p) }<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.9319em;vertical-align: -1.2204em\"><\/span><span class=\"mord\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.7114em\"><span class=\"\" style=\"top: -4.9319em\"><span class=\"pstrut\" style=\"height: 4.9319em\"><\/span><span class=\"boxpad\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9313em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathbf\">h<\/span><\/span><span class=\"\" style=\"top: -3.6134em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">~<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">m<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2299<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathbf\">h<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/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\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Bernoulli<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.7114em\"><span class=\"pstrut\" style=\"height: 4.9319em\"><\/span><span class=\"stretchy fbox\" style=\"height: 2.9319em;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: 1.2204em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5b83\u5e26\u6765\u7684\u4e3b\u8981\u6548\u679c\u662f&#xff1a;<\/p>\n<li>\u795e\u7ecf\u5143\u4e0d\u80fd\u957f\u671f\u4f9d\u8d56\u56fa\u5b9a\u642d\u6863&#xff0c;\u4ece\u800c\u51cf\u5c11\u5171\u540c\u9002\u5e94&#xff1b;<\/li>\n<li>\u968f\u673a\u63a9\u7801\u5411\u9690\u85cf\u8868\u793a\u6ce8\u5165\u566a\u58f0&#xff0c;\u63d0\u9ad8\u6a21\u578b\u5bf9\u7279\u5f81\u7f3a\u5931\u7684\u9c81\u68d2\u6027&#xff1b;<\/li>\n<li>\u6bcf\u6b21\u8fed\u4ee3\u8bad\u7ec3\u4e0d\u540c\u5b50\u7f51\u7edc&#xff0c;\u5f62\u6210\u8fd1\u4f3c\u7684\u9690\u5f0f\u6a21\u578b\u96c6\u6210&#xff1b;<\/li>\n<li>\u6bcf\u6b21\u66f4\u65b0\u7684\u6709\u6548\u7f51\u7edc\u5bb9\u91cf\u964d\u4f4e&#xff0c;\u4f7f\u6a21\u578b\u66f4\u96be\u76f4\u63a5\u8bb0\u4f4f\u8bad\u7ec3\u6837\u672c&#xff1b;<\/li>\n<li>Inverted Dropout \u4fdd\u6301\u6fc0\u6d3b\u671f\u671b\u4e0d\u53d8&#xff0c;\u8ba9\u63a8\u7406\u9636\u6bb5\u53ef\u4ee5\u76f4\u63a5\u5173\u95ed Dropout\u3002<\/li>\n<p>\u6700\u7ec8&#xff0c;Dropout \u901a\u5e38\u4f1a\u727a\u7272\u4e00\u90e8\u5206\u8bad\u7ec3\u96c6\u62df\u5408\u901f\u5ea6&#xff0c;\u6362\u53d6\u66f4\u5c0f\u7684\u6cdb\u5316\u95f4\u9699\u548c\u66f4\u7a33\u5b9a\u7684\u9a8c\u8bc1\u8868\u73b0\u3002<\/p>\n<hr \/>\n<h3>\u53c2\u8003\u8d44\u6599<\/h3>\n<li>\n<p>Nitish Srivastava, Geoffrey Hinton, Alex Krizhevsky, Ilya Sutskever, Ruslan Salakhutdinov. Dropout: A Simple Way to Prevent Neural Networks from Overfitting. Journal of Machine Learning Research, 2014. https:\/\/www.jmlr.org\/papers\/v15\/srivastava14a.html<\/p>\n<\/li>\n<li>\n<p>PyTorch Documentation. torch.nn.Dropout. https:\/\/docs.pytorch.org\/docs\/stable\/generated\/torch.nn.Dropout.html<\/p>\n<\/li>\n<li>\n<p>Keras Documentation. Dropout layer. https:\/\/keras.io\/api\/layers\/regularization_layers\/dropout\/<\/p>\n<\/li>\n<li>\n<p>TensorFlow Documentation. tf.keras.layers.Dropout. https:\/\/www.tensorflow.org\/api_docs\/python\/tf\/keras\/layers\/Dropout<\/p>\n<\/li>\n","protected":false},"excerpt":{"rendered":"<p>\u4e3a\u4ec0\u4e48 Dropout \u80fd\u6291\u5236\u8fc7\u62df\u5408&#xff1a;\u539f\u7406\u3001\u6570\u5b66\u63a8\u5bfc\u4e0e\u5de5\u7a0b\u5b9e\u73b0 \u4e00\u53e5\u8bdd\u6982\u62ec&#xff1a; Dropout \u5728\u8bad\u7ec3\u9636\u6bb5\u968f\u673a\u5173\u95ed\u4e00\u90e8\u5206\u795e\u7ecf\u5143&#xff0c;\u8ba9\u6a21\u578b\u65e0\u6cd5\u957f\u671f\u4f9d\u8d56\u67d0\u4e00\u7ec4\u56fa\u5b9a\u7279\u5f81\u7ec4\u5408&#xff1b;\u8fd9\u8feb\u4f7f\u7f51\u7edc\u5b66\u4e60\u66f4\u5206\u6563\u3001\u66f4\u7a33\u5065\u7684\u8868\u793a&#xff0c;\u5e76\u8fd1\u4f3c\u5b9e\u73b0\u8bb8\u591a\u5b50\u7f51\u7edc\u7684\u6a21\u578b\u96c6\u6210&#xff0c;\u4ece\u800c\u51cf\u5c0f\u8bad\u7ec3\u96c6\u4e0e\u672a\u77e5\u6570\u636e\u4e4b\u95f4\u7684\u6cdb\u5316\u5dee\u8ddd\u3002 1. \u5148\u7406\u89e3&#xff1a;\u4ec0\u4e48\u662f\u8fc7\u62df\u5408&#xff1f;<br \/>\n\u795e\u7ecf\u7f51\u7edc\u62e5\u6709\u5927\u91cf\u53c2\u6570&#xff0c;\u8868\u8fbe\u80fd\u529b\u5f88\u5f3a\u3002\u5b83\u4e0d\u4ec5\u80fd\u591f\u5b66<\/p>\n","protected":false},"author":2,"featured_media":88476,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[587,10028,10027,86],"topic":[],"class_list":["post-88480","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-587","tag-dropout","tag-10027","tag-86"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - 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