{"id":53884,"date":"2025-08-12T18:20:08","date_gmt":"2025-08-12T10:20:08","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/53884.html"},"modified":"2025-08-12T18:20:08","modified_gmt":"2025-08-12T10:20:08","slug":"%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e9%80%9f%e6%88%90%e7%ac%94%e8%ae%b0week5%ef%bc%9a%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/53884.html","title":{"rendered":"\u673a\u5668\u5b66\u4e60\u901f\u6210\u7b14\u8bb0week5\uff1a\u795e\u7ecf\u7f51\u7edc"},"content":{"rendered":"<h2>\u7b2c5\u5468<\/h2>\n<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\u7b2c5\u5468<\/li>\n<li>\n<ul>\n<li>\u4e5d\u3001\u795e\u7ecf\u7f51\u7edc&#xff1a;\u6982\u8ff0<\/li>\n<li>\n<ul>\n<li>9.1 \u975e\u7ebf\u6027\u6a21\u578b<\/li>\n<li>9.2 \u6a21\u578b\u8868\u793a<\/li>\n<li>9.3 \u7279\u5f81\u548c\u76f4\u89c2\u7406\u89e31<\/li>\n<li>9.4 \u6837\u672c\u548c\u76f4\u89c2\u7406\u89e3II<\/li>\n<li>9.5 \u591a\u7c7b\u5206\u7c7b<\/li>\n<li>9.6 \u6fc0\u6d3b\u51fd\u6570\u5206\u7c7b<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u3001\u795e\u7ecf\u7f51\u7edc\u7684\u5b66\u4e60(Neural Networks: Learning)<\/li>\n<li>\n<ul>\n<li>10.1 \u4ee3\u4ef7\u51fd\u6570<\/li>\n<li>10.2 \u53cd\u5411\u4f20\u64ad\u7b97\u6cd5<\/li>\n<li>10.3 \u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8<\/li>\n<li>10.4 Dropout\u6b63\u5219\u5316<\/li>\n<li>10.5 \u7efc\u5408\u8d77\u6765<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<p>\u795e\u7ecf\u7f51\u7edc\u79d1\u666e<\/p>\n<h3>\u4e5d\u3001\u795e\u7ecf\u7f51\u7edc&#xff1a;\u6982\u8ff0<\/h3>\n<h4>9.1 \u975e\u7ebf\u6027\u6a21\u578b<\/h4>\n<p>\u65e0\u8bba\u662f\u7ebf\u6027\u56de\u5f52\u8fd8\u662f\u903b\u8f91\u56de\u5f52\u90fd\u6709\u8fd9\u6837\u4e00\u4e2a\u7f3a\u70b9&#xff0c;\u5373&#xff1a;\u5f53\u7279\u5f81\u592a\u591a\u65f6&#xff0c;\u8ba1\u7b97\u7684\u8d1f\u8377\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n<p>\u4e0b\u9762\u662f\u4e00\u4e2a\u4f8b\u5b50&#xff0c;\u4f7f\u7528<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>       x_1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>       x_2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/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><\/span><\/span><\/span> \u7684\u591a\u6b21\u9879\u5f0f\u8fdb\u884c\u9884\u6d4b\u65f6&#xff0c;\u53ef\u4ee5\u5e94\u7528\u7684\u5f88\u597d&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102002-689b155282a8f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4f7f\u7528\u975e\u7ebf\u6027\u7684\u591a\u9879\u5f0f\u9879&#xff0c;\u80fd\u591f\u5efa\u7acb\u66f4\u597d\u7684\u5206\u7c7b\u6a21\u578b\u3002\u4f46\u662f\u5047\u8bbe\u6709\u975e\u5e38\u591a\u7684\u7279\u5f81&#xff0c;\u6b64\u65f6\u6784\u5efa\u4e00\u4e2a\u975e\u7ebf\u6027\u7684\u591a\u9879\u5f0f\u6a21\u578b&#xff0c;\u7ed3\u679c\u5c06\u662f\u6570\u91cf\u975e\u5e38\u60ca\u4eba\u7684\u7279\u5f81\u7ec4\u5408&#xff0c;\u5373\u4fbf\u53ea\u91c7\u7528\u4e24\u4e24\u7279\u5f81\u7684\u7ec4\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        &#043;<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>        &#043;<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>         x<\/p>\n<p>         4<\/p>\n<p>        &#043;<\/p>\n<p>        .<\/p>\n<p>        .<\/p>\n<p>        .<\/p>\n<p>        &#043;<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>        &#043;<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>         x<\/p>\n<p>         4<\/p>\n<p>        &#043;<\/p>\n<p>        .<\/p>\n<p>        .<\/p>\n<p>        .<\/p>\n<p>        &#043;<\/p>\n<p>         x<\/p>\n<p>         99<\/p>\n<p>         x<\/p>\n<p>         100<\/p>\n<p>        )<\/p>\n<p>       (x_1x_2&#043;x_1x_3&#043;x_1x_4&#043;&#8230;&#043;x_2x_3&#043;x_2x_4&#043;&#8230;&#043;x_{99}x_{100})<\/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\">x<\/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=\"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: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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=\"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: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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=\"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: 0.3011em\"><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\">4<\/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\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#8230;<\/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: 0.7333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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=\"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: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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=\"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: 0.3011em\"><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\">4<\/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\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#8230;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/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\"><span class=\"mord mtight\">99<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/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\"><span class=\"mord mtight\">100<\/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>&#xff0c;\u8fd9\u5bf9\u4e8e\u4e00\u822c\u7684\u903b\u8f91\u56de\u5f52\u6765\u8bf4\u9700\u8981\u8ba1\u7b97\u7684\u7279\u5f81\u592a\u591a\u4e86\u3002<\/p>\n<p>\u666e\u901a\u7684\u903b\u8f91\u56de\u5f52\u6a21\u578b&#xff0c;\u4e0d\u80fd\u6709\u6548\u5730\u5904\u7406\u8fd9\u4e48\u591a\u7684\u7279\u5f81&#xff0c;\u8fd9\u65f6\u5019\u5c31\u9700\u8981\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n<p>\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u79cd\u5f88\u53e4\u8001\u7684\u7b97\u6cd5&#xff0c;\u5b83\u6700\u521d\u4ea7\u751f\u7684\u76ee\u7684\u662f\u5236\u9020\u80fd\u6a21\u62df\u5927\u8111\u7684\u673a\u5668\u3002 \u795e\u7ecf\u7f51\u7edc\u65e8\u5728\u53d1\u73b0\u6570\u636e\u4e2d\u7684\u975e\u7ebf\u6027\u6a21\u5f0f\u3002\u5728\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u671f\u95f4&#xff0c;\u6a21\u578b\u4f1a\u81ea\u52a8\u5b66\u4e60\u5bf9\u8f93\u5165\u6570\u636e\u6267\u884c\u7684\u6700\u4f73\u7279\u5f81\u4ea4\u53c9&#xff0c;\u4ee5\u6700\u5927\u9650\u5ea6\u5730\u51cf\u5c11\u635f\u5931\u3002<\/p>\n<p>\u795e\u7ecf\u7f51\u7edc\u9010\u6e10\u5174\u8d77\u4e8e\u4e8c\u5341\u4e16\u7eaa\u516b\u4e5d\u5341\u5e74\u4ee3&#xff0c;\u5e94\u7528\u5f97\u975e\u5e38\u5e7f\u6cdb\u3002\u4f46\u7531\u4e8e\u5404\u79cd\u539f\u56e0&#xff0c;\u572890\u5e74\u4ee3\u7684\u540e\u671f\u5e94\u7528\u51cf\u5c11\u4e86\u3002\u4f46\u662f\u6700\u8fd1&#xff0c;\u795e\u7ecf\u7f51\u7edc\u53c8\u4e1c\u5c71\u518d\u8d77\u4e86\u3002\u5176\u4e2d\u4e00\u4e2a\u539f\u56e0\u662f&#xff1a;\u795e\u7ecf\u7f51\u7edc\u8ba1\u7b97\u91cf\u504f\u5927\u3002\u7531\u4e8e\u8fd1\u4e9b\u5e74\u8ba1\u7b97\u673a\u7684\u8fd0\u884c\u901f\u5ea6\u53d8\u5feb&#xff0c;\u624d\u8db3\u4ee5\u771f\u6b63\u8fd0\u884c\u8d77\u5927\u89c4\u6a21\u7684\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n<h4>9.2 \u6a21\u578b\u8868\u793a<\/h4>\n<p>\u795e\u7ecf\u7f51\u7edc\u4e0e\u5927\u8111\u5904\u7406\u65b9\u5f0f\u76f8\u4f3c&#xff0c;\u6bcf\u4e00\u4e2a\u795e\u7ecf\u5143\u90fd\u53ef\u4ee5\u88ab\u8ba4\u4e3a\u662f\u4e00\u4e2a\u5904\u7406\u5355\u5143\/\u795e\u7ecf\u6838&#xff08;processing unit\/Nucleus&#xff09;&#xff0c;\u5b83\u542b\u6709\u8bb8\u591a\u8f93\u5165\/\u6811\u7a81&#xff08;input\/Dendrite&#xff09;&#xff0c;\u5e76\u4e14\u6709\u4e00\u4e2a\u8f93\u51fa\/\u8f74\u7a81&#xff08;output\/Axon&#xff09;\u3002\u795e\u7ecf\u7f51\u7edc\u662f\u5927\u91cf\u795e\u7ecf\u5143\u76f8\u4e92\u94fe\u63a5\u5e76\u901a\u8fc7\u7535\u8109\u51b2\u6765\u4ea4\u6d41\u7684\u4e00\u4e2a\u7f51\u7edc\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b155324119.jpg\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5982\u679c\u795e\u7ecf\u5143\u60f3\u8981\u5411\u5176\u4ed6\u795e\u7ecf\u5143\u4f20\u9012\u6d88\u606f&#xff0c;\u5b83\u5c31\u4f1a\u5c31\u901a\u8fc7\u5b83\u7684\u8f74\u7a81&#xff0c;\u53d1\u9001\u4e00\u6bb5\u5fae\u5f31\u7535\u6d41\u7ed9\u5176\u4ed6\u795e\u7ecf\u5143\u3002<\/p>\n<p>\u4e0b\u56fe\u662f\u795e\u7ecf\u5143\u8fde\u63a5\u53e6\u4e00\u4e2a\u795e\u7ecf\u5143\u6811\u7a81\u7684\u795e\u7ecf\u3002\u9996\u5148\u795e\u7ecf\u5143\u901a\u8fc7\u6811\u7a81\u63a5\u6536\u6d88\u606f&#xff0c;\u5728\u795e\u7ecf\u6838\u505a\u4e00\u4e9b\u5904\u7406&#xff0c;\u7136\u540e\u5c06\u901a\u8fc7\u8f74\u7a81\u628a\u6d88\u606f\u4f20\u7ed9\u5176\u4ed6\u795e\u7ecf\u5143\u3002\u8fd9\u5c31\u662f\u6240\u6709\u4eba\u7c7b\u601d\u8003\u7684\u6a21\u578b&#xff1a;\u6211\u4eec\u7684\u795e\u7ecf\u5143\u628a\u81ea\u5df1\u7684\u6536\u5230\u7684\u6d88\u606f\u8fdb\u884c\u5904\u7406&#xff0c;\u5e76\u5411\u5176\u4ed6\u795e\u7ecf\u5143\u4f20\u9012\u6d88\u606f\u3002<\/p>\n<p>\u5728\u6570\u5b66\u4e2d&#xff0c;\u6211\u4eec\u7528\u51fd\u6570\u6765\u8868\u793a\u795e\u7ecf\u6838\u7684\u5904\u7406\u65b9\u5f0f\u3002\u4e07\u7269\u7686\u53ef\u7528\u51fd\u6570\u89e3\u91ca<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b15535349e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e94\u5206\u949f\u79d2\u61c2\u795e\u7ecf\u7f51\u7edc\u539f\u7406 \u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u5efa\u7acb\u5728\u5f88\u591a\u795e\u7ecf\u5143\u4e4b\u4e0a&#xff0c;\u6bcf\u4e00\u4e2a\u795e\u7ecf\u5143\u53c8\u662f\u4e00\u4e2a\u5b66\u4e60\u6a21\u578b\u3002\u8fd9\u4e9b\u795e\u7ecf\u5143&#xff08;\u4e5f\u53eb\u6fc0\u6d3b\u5355\u5143&#xff0c;activation unit&#xff09;\u9996\u5148\u4f7f\u7528\u4eff\u5c04\u51fd\u6570\u5bf9\u8f93\u5165<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>       x_1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>       x_2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>       x_3<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8fdb\u884c\u4eff\u5c04\u53d8\u6362&#xff0c;\u7136\u540e\u4f7f\u7528\u6fc0\u6d3b\u51fd\u6570\u5bf9\u5176\u518d\u8fdb\u884c\u975e\u7ebf\u6027\u53d8\u6362\u5f97\u5230\u8f93\u51fa\u3002\u4e0b\u56fe\u662f\u4e00\u4e2a\u4ee5\u903b\u8f91\u56de\u5f52\u6a21\u578b\u4f5c\u4e3a\u6fc0\u6d3b\u51fd\u6570\u7684\u793a\u4f8b&#xff0c;\u5728\u795e\u7ecf\u7f51\u7edc\u4e2d&#xff0c;\u53c2\u6570\u53c8\u53ef\u88ab\u6210\u4e3a\u6743\u91cd&#xff08;weight&#xff09;&#xff0c;\u4e8b\u5b9e\u4e0a&#xff0c;\u6b64\u6a21\u578b\u5c31\u662f\u524d\u9762\u5b9e\u73b0\u903b\u8f91\u56de\u5f52\u7f16\u7a0b\u5b9e\u6218\u7684\u539f\u7406\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b155379a29.jpg\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc&#xff0c;\u4e0a\u4e00\u5c42\u7684\u8f93\u51fa\u4f5c\u4e3a\u4e0b\u4e00\u5c42\u7684\u8f93\u5165&#xff0c;\u7c7b\u4f3c\u4e8e\u4e0d\u65ad\u5957\u5a03\u8ba1\u7b97\u76f4\u5230\u8f93\u51fa\u7ed3\u679c&#xff0c;\u6548\u679c\u5982\u4e0b&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b15538f86e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>       x_1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>       x_2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>       x_3<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u8f93\u5165\u5355\u5143&#xff08;input units&#xff09;&#xff0c;\u5c06\u539f\u59cb\u6570\u636e\u8f93\u5165\u8fdb\u884c\u4eff\u5c04\u53d8\u6362\u8f93\u51fa\u5230\u4e0b\u4e00\u5c42\u3002 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         1<\/p>\n<p>       a_1<\/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\">a<\/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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         2<\/p>\n<p>       a_2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/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><\/span><\/span><\/span>, <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         3<\/p>\n<p>       a_3<\/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\">a<\/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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u4e2d\u95f4\u5355\u5143&#xff0c;\u5b83\u4eec\u8d1f\u8d23\u5c06\u6570\u636e\u8fdb\u884c\u6fc0\u6d3b\u51fd\u6570\u8ba1\u7b97&#xff0c;\u7136\u540e\u5448\u9012\u5230\u4e0b\u4e00\u5c42\u3002 \u6700\u540e\u662f\u8f93\u51fa\u5355\u5143&#xff0c;\u5b83\u8d1f\u8d23\u8ba1\u7b97<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         \u03b8<\/p>\n<p>         (<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>       {h_\\\\theta}\\\\left( x \\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal mtight\">\u03b8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u662f\u8bb8\u591a\u903b\u8f91\u5355\u5143\u6309\u7167\u4e0d\u540c\u5c42\u7ea7\u7ec4\u7ec7\u8d77\u6765\u7684\u7f51\u7edc&#xff0c;\u6bcf\u4e00\u5c42\u7684\u8f93\u51fa\u53d8\u91cf\u90fd\u662f\u4e0b\u4e00\u5c42\u7684\u8f93\u5165\u53d8\u91cf\u3002\u4e0b\u56fe\u4e3a\u4e00\u4e2a3\u5c42\u7684\u795e\u7ecf\u7f51\u7edc&#xff0c;\u7b2c\u4e00\u5c42\u6210\u4e3a\u8f93\u5165\u5c42&#xff08;Input Layer&#xff09;&#xff0c;\u6700\u540e\u4e00\u5c42\u79f0\u4e3a\u8f93\u51fa\u5c42&#xff08;Output Layer&#xff09;&#xff0c;\u4e2d\u95f4\u4e00\u5c42\u79f0\u4e3a\u9690\u85cf\u5c42&#xff08;Hidden Layers&#xff09;&#xff0c;\u56e0\u4e3a\u8fd9\u662f\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u7684\u5904\u7406\u7ed3\u679c&#xff0c;\u6211\u4eec\u770b\u4e0d\u89c1\u4e5f\u96be\u4ee5\u89e3\u91ca\u7ed3\u679c\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b1553a7a93.jpg\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          a<\/p>\n<p>          i<\/p>\n<p>           (<\/p>\n<p>           j<\/p>\n<p>           )<\/p>\n<p>        a_{i}^{\\\\left( j \\\\right)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3217em;vertical-align: -0.2769em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;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><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span style=\"margin-right: 0.0572em\" class=\"mord mathnormal mtight\">j<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><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>         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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal\">j<\/span><\/span><\/span><\/span><\/span> \u5c42\u7684\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\u6fc0\u6d3b\u5355\u5143\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u03b8<\/p>\n<p>           (<\/p>\n<p>           j<\/p>\n<p>           )<\/p>\n<p>        {{\\\\theta }^{\\\\left( j \\\\right)}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span style=\"margin-right: 0.0278em\" class=\"mord mathnormal\">\u03b8<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span style=\"margin-right: 0.0572em\" class=\"mord mathnormal mtight\">j<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4ee3\u8868\u4ece\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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal\">j<\/span><\/span><\/span><\/span><\/span> \u5c42\u6620\u5c04\u5230\u7b2c$ j&#043;1$ \u5c42\u65f6\u7684\u6743\u91cd<\/li>\n<li>g\u662f\u6fc0\u6d3b\u51fd\u6570&#xff0c;\u4f8b\u5982\u53ef\u4ee5\u662fsigmoid\u51fd\u6570\u6216\u5176\u4ed6<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e\u4e0a\u56fe\u6240\u793a\u7684\u6a21\u578b&#xff0c;\u6fc0\u6d3b\u5355\u5143\u548c\u8f93\u51fa\u5206\u522b\u8868\u8fbe\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         1<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>        g<\/p>\n<p>        (<\/p>\n<p>         \u0398<\/p>\n<p>         10<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         0<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         11<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         12<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         13<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>        )<\/p>\n<p>       a_{1}^{(2)}&#061;g(\\\\Theta _{10}^{(1)}{{x}_{0}}&#043;\\\\Theta _{11}^{(1)}{{x}_{1}}&#043;\\\\Theta _{12}^{(1)}{{x}_{2}}&#043;\\\\Theta _{13}^{(1)}{{x}_{3}})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">10<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">0<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">11<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">12<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">13<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/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 class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         2<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>        g<\/p>\n<p>        (<\/p>\n<p>         \u0398<\/p>\n<p>         20<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         0<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         21<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         22<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         23<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>        )<\/p>\n<p>       a_{2}^{(2)}&#061;g(\\\\Theta _{20}^{(1)}{{x}_{0}}&#043;\\\\Theta _{21}^{(1)}{{x}_{1}}&#043;\\\\Theta _{22}^{(1)}{{x}_{2}}&#043;\\\\Theta _{23}^{(1)}{{x}_{3}})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">20<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">0<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">21<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">22<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">23<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/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 class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         3<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>        g<\/p>\n<p>        (<\/p>\n<p>         \u0398<\/p>\n<p>         30<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         0<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         31<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         32<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         33<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>        )<\/p>\n<p>       a_{3}^{(2)}&#061;g(\\\\Theta _{30}^{(1)}{{x}_{0}}&#043;\\\\Theta _{31}^{(1)}{{x}_{1}}&#043;\\\\Theta _{32}^{(1)}{{x}_{2}}&#043;\\\\Theta _{33}^{(1)}{{x}_{3}})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">30<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">0<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">31<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">32<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">33<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/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 class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         \u0398<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>        g<\/p>\n<p>        (<\/p>\n<p>         \u0398<\/p>\n<p>         10<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>         a<\/p>\n<p>         0<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         11<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>         a<\/p>\n<p>         1<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         12<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>         a<\/p>\n<p>         2<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         13<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>         a<\/p>\n<p>         3<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        )<\/p>\n<p>       {{h}_{\\\\Theta }}(x)&#061;g(\\\\Theta _{10}^{(2)}a_{0}^{(2)}&#043;\\\\Theta _{11}^{(2)}a_{1}^{(2)}&#043;\\\\Theta _{12}^{(2)}a_{2}^{(2)}&#043;\\\\Theta _{13}^{(2)}a_{3}^{(2)})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-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\">\u0398<\/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 class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">10<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">0<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">11<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">12<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">13<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         z<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>         \u0398<\/p>\n<p>         10<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         0<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         11<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         12<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        &#043;<\/p>\n<p>         \u0398<\/p>\n<p>         13<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>       z^{(1)}&#061;\\\\Theta _{10}^{(1)}{{x}_{0}}&#043;\\\\Theta _{11}^{(1)}{{x}_{1}}&#043;\\\\Theta _{12}^{(1)}{{x}_{2}}&#043;\\\\Theta _{13}^{(1)}{{x}_{3}}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">10<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">0<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">11<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">12<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/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 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: 1.3111em;vertical-align: -0.2663em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">13<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u79f0\u4e3a\u4eff\u5c04\u51fd\u6570&#xff0c;\u4eff\u5c04\u51fd\u6570\u4e3a\u7ebf\u6027\u51fd\u6570&#xff0c;\u628a\u8fd9\u6837\u4ece\u5de6\u5230\u53f3\u7684\u7b97\u6cd5\u79f0\u4e3a\u524d\u5411\u4f20\u64ad\u7b97\u6cd5( FORWARD PROPAGATION )&#xff09;<\/p>\n<p>\u4e3a\u4e86\u66f4\u597d\u4e86\u4e86\u89e3Neuron Networks\u7684\u5de5\u4f5c\u539f\u7406&#xff0c;\u6211\u4eec\u5148\u628a\u5de6\u534a\u90e8\u5206\u906e\u4f4f&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b1553beedf.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u53f3\u534a\u90e8\u5206\u5176\u5b9e\u5c31\u662f\u4ee5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         a<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>         a<\/p>\n<p>         3<\/p>\n<p>       a_1, a_2, a_3<\/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\">a<\/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\">a<\/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=\"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: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u6570\u636e, \u6309\u7167Logistic Regression\u7684\u65b9\u5f0f\u8f93\u51fa<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         \u03b8<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>       h_\\\\theta(x)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal mtight\">\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\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b1553d641d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5176\u5b9e\u795e\u7ecf\u7f51\u7edc\u5c31\u50cf\u662flogistic regression&#xff0c;\u53ea\u4e0d\u8fc7\u6211\u4eec\u628alogistic regression\u4e2d\u7684\u8f93\u5165\u5411\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        \u223c<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>        ]<\/p>\n<p>       \\\\left[ x_1\\\\sim {x_3} \\\\right]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">[<\/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: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mord\"><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: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">]<\/span><\/span><\/span><\/span><\/span><\/span> \u53d8\u6210\u4e86\u4e2d\u95f4\u5c42\u7684<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>         a<\/p>\n<p>         1<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        \u223c<\/p>\n<p>         a<\/p>\n<p>         3<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        ]<\/p>\n<p>       \\\\left[ a_1^{(2)}\\\\sim a_3^{(2)} \\\\right]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.8em;vertical-align: -0.65em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">[<\/span><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span>, \u5373: <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         \u03b8<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>        g<\/p>\n<p>         (<\/p>\n<p>          \u0398<\/p>\n<p>          0<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>          a<\/p>\n<p>          0<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>         &#043;<\/p>\n<p>          \u0398<\/p>\n<p>          1<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>          a<\/p>\n<p>          1<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>         &#043;<\/p>\n<p>          \u0398<\/p>\n<p>          2<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>          a<\/p>\n<p>          2<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>         &#043;<\/p>\n<p>          \u0398<\/p>\n<p>          3<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>          a<\/p>\n<p>          3<\/p>\n<p>           (<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>       h_\\\\theta(x)&#061;g\\\\left( \\\\Theta_0^{\\\\left( 2 \\\\right)}a_0^{\\\\left( 2 \\\\right)}&#043;\\\\Theta_1^{\\\\left( 2 \\\\right)}a_1^{\\\\left( 2 \\\\right)}&#043;\\\\Theta_{2}^{\\\\left( 2 \\\\right)}a_{2}^{\\\\left( 2 \\\\right)}&#043;\\\\Theta_{3}^{\\\\left( 2 \\\\right)}a_{3}^{\\\\left( 2 \\\\right)} \\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal mtight\">\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\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.8em;vertical-align: -0.65em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">(<\/span><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-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 mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"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: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;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 mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"minner mtight\"><span class=\"mopen mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">(<\/span><\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight delimcenter\" style=\"top: 0em\"><span class=\"mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6211\u4eec\u53ef\u4ee5\u628a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         a<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>         a<\/p>\n<p>         3<\/p>\n<p>       a_1, a_2, a_3<\/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\">a<\/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\">a<\/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=\"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: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u770b\u6210\u66f4\u4e3a\u9ad8\u7ea7\u7684\u7279\u5f81\u503c&#xff0c;\u4e5f\u5c31\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>         x<\/p>\n<p>         3<\/p>\n<p>       x_1, x_2, x_3<\/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: 0.3011em\"><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\">x<\/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=\"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: 0.3011em\"><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\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u8fdb\u5316\u4f53&#xff0c;\u5e76\u4e14\u5b83\u4eec\u662f\u7531 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        x<\/p>\n<p>       x<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u4e0e<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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal\">\u03b8<\/span><\/span><\/span><\/span><\/span>\u6743\u91cd\u51b3\u5b9a\u7684&#xff0c;\u56e0\u4e3a\u662f\u68af\u5ea6\u4e0b\u964d\u7684&#xff0c;\u6240\u4ee5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        a<\/p>\n<p>       a<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span>\u662f\u53d8\u5316\u7684&#xff0c;\u5e76\u4e14\u53d8\u5f97\u8d8a\u6765\u8d8a\u5389\u5bb3&#xff0c;\u6240\u4ee5\u8fd9\u4e9b\u66f4\u9ad8\u7ea7\u7684\u7279\u5f81\u503c\u8fdc\u6bd4\u4ec5\u4ec5\u5c06 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        x<\/p>\n<p>       x<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u6b21\u65b9\u5389\u5bb3&#xff0c;\u4e5f\u80fd\u66f4\u597d\u7684\u9884\u6d4b\u65b0\u6570\u636e\u3002 \u8fd9\u5c31\u662f\u795e\u7ecf\u7f51\u7edc\u76f8\u6bd4\u4e8e\u903b\u8f91\u56de\u5f52\u548c\u7ebf\u6027\u56de\u5f52\u7684\u4f18\u52bf\u3002<\/p>\n<h4>9.3 \u7279\u5f81\u548c\u76f4\u89c2\u7406\u89e31<\/h4>\n<p>\u4ece\u672c\u8d28\u4e0a\u8bb2&#xff0c;\u795e\u7ecf\u7f51\u7edc\u80fd\u591f\u901a\u8fc7\u5b66\u4e60\u5f97\u51fa\u5176\u81ea\u8eab\u7684\u4e00\u7cfb\u5217\u65b0\u7279\u5f81\u3002\u5728\u666e\u901a\u7684\u903b\u8f91\u56de\u5f52\u4e2d&#xff0c;\u6211\u4eec\u88ab\u9650\u5236\u4e3a\u53ea\u80fd\u4f7f\u7528\u6570\u636e\u4e2d\u7684\u539f\u59cb\u7279\u5f81<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>        .<\/p>\n<p>        .<\/p>\n<p>        .<\/p>\n<p>        ,<\/p>\n<p>         x<\/p>\n<p>         n<\/p>\n<p>       x_1,x_2,&#8230;,{{x}_{n}}<\/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: 0.3011em\"><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\">x<\/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=\"mord\">&#8230;<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-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><\/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>&#xff0c;\u6211\u4eec\u867d\u7136\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e9b\u4e8c\u9879\u5f0f\u9879\u6765\u7ec4\u5408\u8fd9\u4e9b\u7279\u5f81&#xff0c;\u4f46\u662f\u6211\u4eec\u4ecd\u7136\u53d7\u5230\u8fd9\u4e9b\u539f\u59cb\u7279\u5f81\u7684\u9650\u5236\u3002\u5728\u795e\u7ecf\u7f51\u7edc\u4e2d&#xff0c;\u539f\u59cb\u7279\u5f81\u53ea\u662f\u8f93\u5165\u5c42&#xff0c;\u5728\u4e0a\u9762\u4e09\u5c42\u7684\u795e\u7ecf\u7f51\u7edc\u4f8b\u5b50\u4e2d&#xff0c;\u7b2c\u4e09\u5c42\u4e5f\u5c31\u662f\u8f93\u51fa\u5c42\u505a\u51fa\u7684\u9884\u6d4b\u5229\u7528\u7684\u662f\u7b2c\u4e8c\u5c42\u7684\u7279\u5f81&#xff0c;\u800c\u975e\u8f93\u5165\u5c42\u4e2d\u7684\u539f\u59cb\u7279\u5f81&#xff0c;\u53ef\u4ee5\u8ba4\u4e3a\u7b2c\u4e8c\u5c42\u4e2d\u7684\u7279\u5f81\u662f\u795e\u7ecf\u7f51\u7edc\u901a\u8fc7\u5b66\u4e60\u540e\u81ea\u5df1\u5f97\u51fa\u7684\u4e00\u7cfb\u5217\u7528\u4e8e\u9884\u6d4b\u8f93\u51fa\u53d8\u91cf\u7684\u65b0\u7279\u5f81\u3002<\/p>\n<h4>9.4 \u6837\u672c\u548c\u76f4\u89c2\u7406\u89e3II<\/h4>\n<p>\u903b\u8f91\u4e3b\u4e49\u63d0\u5021\u7528\u903b\u8f91\u8bed\u53e5\u6765\u5b9e\u73b0\u667a\u80fd&#xff0c;\u5373\u4f7f\u7528\u4e0e\u3001\u6216\u7b49\u8bcd\u6765\u63cf\u8ff0\u3002\u800c\u6700\u521d\u611f\u77e5\u673a\u7b97\u6cd5\u88ab\u63d0\u51fa\u65f6\u8f70\u52a8\u4e00\u65f6&#xff0c;\u5176\u5f00\u8f9f\u901a\u8fc7\u6570\u5b66\u8fd0\u7b97\u6765\u5b9e\u73b0\u4eba\u5de5\u667a\u80fd&#xff0c;\u611f\u77e5\u673a\u5668\u5373\u4f7f\u7528\u7ebf\u6027\u51fd\u6570\u6765\u5206\u7c7b&#xff0c;\u4f46\u968f\u540e\u88ab\u903b\u8f91\u4e3b\u4e49\u62a8\u51fb&#xff0c;\u56e0\u4e3a\u5b58\u5728\u4e00\u79cd<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        XNOR<\/p>\n<p>       \\\\text{XNOR}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">XNOR<\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u903b\u8f91\u5173\u7cfb\u4e0d\u80fd\u88ab\u611f\u77e5\u673a\u5b9e\u73b0&#xff08;\u5982\u56fe&#xff0c;\u7ebf\u6027\u51fd\u6570\u4e0d\u80fd\u5c06\u5176\u5206\u7c7b&#xff09;&#xff0c;\u4e5f\u5c31\u4e0d\u80fd\u5b8c\u5168\u5b9e\u73b0\u667a\u80fd&#xff0c;\u673a\u5668\u5b66\u4e60\u56e0\u6b64\u9677\u5165\u5bd2\u51ac&#xff0c;\u76f4\u5230\u795e\u7ecf\u7f51\u7edc\u7684\u63d0\u51fa\u91cd\u65b0\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102003-689b1553e83d8.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e8c\u5143\u903b\u8f91\u8fd0\u7b97\u7b26&#xff08;BINARY LOGICAL OPERATORS&#xff09;&#xff0c;\u5f53\u8f93\u5165\u7279\u5f81\u4e3a\u5e03\u5c14\u503c&#xff08;0\u62161&#xff09;\u65f6&#xff0c;\u53ef\u4ee5\u7528\u4e00\u4e2a\u5355\u4e00\u7684\u6fc0\u6d3b\u5c42\u8ba1\u7b97&#xff0c;\u4e3a\u4e86\u8868\u793a\u4e0d\u540c\u7684\u8fd0\u7b97\u7b26&#xff0c;\u53ea\u9700\u8981\u9009\u62e9\u4e0d\u540c\u7684\u6743\u91cd\u5373\u53ef\u3002<\/p>\n<p>\u4e0b\u56fe\u7684\u795e\u7ecf\u5143&#xff08;\u4e09\u4e2a\u6743\u91cd\u5206\u522b\u4e3a-30&#xff0c;20&#xff0c;20&#xff09;\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4f5c\u7528\u540c\u4e8e\u903b\u8f91\u4e0e&#xff08;AND&#xff09;&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102004-689b1554d467c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e0b\u56fe\u7684\u795e\u7ecf\u5143&#xff08;\u4e09\u4e2a\u6743\u91cd\u5206\u522b\u4e3a-10&#xff0c;20&#xff0c;20&#xff09;\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4f5c\u7528\u7b49\u540c\u4e8e\u903b\u8f91\u6216&#xff08;OR&#xff09;&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b1555061c0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e0b\u56fe\u7684\u795e\u7ecf\u5143&#xff08;\u4e24\u4e2a\u6743\u91cd\u5206\u522b\u4e3a 10&#xff0c;-20&#xff09;\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4f5c\u7528\u7b49\u540c\u4e8e\u903b\u8f91\u975e&#xff08;NOT&#xff09;&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b155528711.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8981\u5b9e\u73b0XNOR \u529f\u80fd&#xff08;\u8f93\u5165\u7684\u4e24\u4e2a\u503c\u5fc5\u987b\u4e00\u6837&#xff0c;\u5747\u4e3a1\u6216\u5747\u4e3a0&#xff09;&#xff0c;\u5373 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        XNOR<\/p>\n<p>        &#061;<\/p>\n<p>        (<\/p>\n<p>         x<\/p>\n<p>         1<\/p>\n<p>       \u2009<\/p>\n<p>        AND<br \/>\n       \u2009<\/p>\n<p>         x<\/p>\n<p>         2<\/p>\n<p>        )<br \/>\n       \u2009<\/p>\n<p>        OR<\/p>\n<p>         (<\/p>\n<p>          (<\/p>\n<p>          NOT<br \/>\n         \u2009<\/p>\n<p>           x<\/p>\n<p>           1<\/p>\n<p>          )<\/p>\n<p>         AND<\/p>\n<p>          (<\/p>\n<p>          NOT<br \/>\n         \u2009<\/p>\n<p>           x<\/p>\n<p>           2<\/p>\n<p>          )<\/p>\n<p>         )<\/p>\n<p>       \\\\text{XNOR}&#061;( \\\\text{x}_1\\\\, \\\\text{AND}\\\\, \\\\text{x}_2 )\\\\, \\\\text{OR} \\\\left( \\\\left( \\\\text{NOT}\\\\, \\\\text{x}_1 \\\\right) \\\\text{AND} \\\\left( \\\\text{NOT}\\\\, \\\\text{x}_2 \\\\right) \\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">XNOR<\/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 text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord\">AND<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord\">OR<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord text\"><span class=\"mord\">NOT<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord\">AND<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord text\"><span class=\"mord\">NOT<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span> \u9996\u5148\u6784\u9020\u4e00\u4e2a\u80fd\u8868\u8fbe<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         (<\/p>\n<p>         NOT<br \/>\n        \u2009<\/p>\n<p>          x<\/p>\n<p>          1<\/p>\n<p>         )<\/p>\n<p>        AND<\/p>\n<p>         (<\/p>\n<p>         NOT<br \/>\n        \u2009<\/p>\n<p>          x<\/p>\n<p>          2<\/p>\n<p>         )<\/p>\n<p>       \\\\left( \\\\text{NOT}\\\\, \\\\text{x}_1 \\\\right) \\\\text{AND} \\\\left( \\\\text{NOT}\\\\, \\\\text{x}_2 \\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord text\"><span class=\"mord\">NOT<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord\">AND<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord text\"><span class=\"mord\">NOT<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span>\u90e8\u5206\u7684\u795e\u7ecf\u5143&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b155547290.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u7136\u540e\u5c06\u8868\u793a AND \u7684\u795e\u7ecf\u5143\u548c\u8868\u793a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         (<\/p>\n<p>         NOT<br \/>\n        \u2009<\/p>\n<p>          x<\/p>\n<p>          1<\/p>\n<p>         )<\/p>\n<p>        AND<\/p>\n<p>         (<\/p>\n<p>         NOT<br \/>\n        \u2009<\/p>\n<p>          x<\/p>\n<p>          2<\/p>\n<p>         )<\/p>\n<p>       \\\\left( \\\\text{NOT}\\\\, \\\\text{x}_1 \\\\right) \\\\text{AND} \\\\left( \\\\text{NOT}\\\\, \\\\text{x}_2 \\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord text\"><span class=\"mord\">NOT<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord\">AND<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord text\"><span class=\"mord\">NOT<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u795e\u7ecf\u5143\u4ee5\u53ca\u8868\u793a OR \u7684\u795e\u7ecf\u5143\u8fdb\u884c\u7ec4\u5408&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b1555641e0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u80fd\u5b9e\u73b0 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        XNOR<\/p>\n<p>       \\\\text{XNOR}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">XNOR<\/span><\/span><\/span><\/span><\/span><\/span> \u8fd0\u7b97\u7b26\u529f\u80fd\u7684\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n<p>\u6309\u8fd9\u79cd\u65b9\u6cd5\u6211\u4eec\u53ef\u4ee5\u9010\u6e10\u6784\u9020\u51fa\u8d8a\u6765\u8d8a\u590d\u6742\u7684\u51fd\u6570&#xff0c;\u4e5f\u80fd\u5f97\u5230\u66f4\u52a0\u5389\u5bb3\u7684\u7279\u5f81\u503c&#xff0c;\u8fd9\u5c31\u662f\u795e\u7ecf\u7f51\u7edc\u7684\u5389\u5bb3\u4e4b\u5904\u3002<\/p>\n<h4>9.5 \u591a\u7c7b\u5206\u7c7b<\/h4>\n<p>\u5f53\u6709\u4e0d\u6b62\u4e24\u79cd\u5206\u7c7b\u65f6&#xff08;\u4e5f\u5c31\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        y<\/p>\n<p>        &#061;<\/p>\n<p>        1<\/p>\n<p>        ,<\/p>\n<p>        2<\/p>\n<p>        ,<\/p>\n<p>        3<\/p>\n<p>        \u2026<\/p>\n<p>        .<\/p>\n<p>       y&#061;1,2,3\u2026.<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/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=\"mord\">.<\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff0c;\u6bd4\u5982\u4ee5\u4e0b\u8fd9\u79cd\u60c5\u51b5&#xff0c;\u8be5\u600e\u4e48\u529e&#xff1f;\u4f8b\u5982\u5728\u8f93\u51fa\u5c42\u67094\u4e2a\u503c\u3002<\/p>\n<p>\u8f93\u5165\u5411\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        x<\/p>\n<p>       x<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u6709\u4e09\u4e2a\u7ef4\u5ea6&#xff0c;\u4e24\u4e2a\u4e2d\u95f4\u5c42&#xff0c;\u8f93\u51fa\u5c424\u4e2a\u795e\u7ecf\u5143\u5206\u522b\u7528\u6765\u8868\u793a4\u7c7b&#xff0c;\u4e0b\u9762\u662f\u8be5\u795e\u7ecf\u7f51\u7edc\u7684\u53ef\u80fd\u7ed3\u6784\u793a\u4f8b&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b155588c5d.jpg\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b1555bddfe.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u795e\u7ecf\u7f51\u7edc\u7b97\u6cd5\u7684\u8f93\u51fa\u7ed3\u679c\u4e3a\u56db\u79cd\u53ef\u80fd\u60c5\u5f62\u4e4b\u4e00&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102005-689b1555dad4d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>9.6 \u6fc0\u6d3b\u51fd\u6570\u5206\u7c7b<\/h4>\n<p>\u5e38\u7528\u4f5c\u6fc0\u6d3b\u51fd\u6570\u7684\u4e09\u4e2a\u6570\u5b66\u51fd\u6570\u662f Sigmoid \u51fd\u6570\u3001tanh \u51fd\u6570\u548c ReLU \u51fd\u6570\u3002<\/p>\n<p>Sigmoid \u51fd\u6570\u5bf9\u8f93\u5165x\u6267\u884c\u4ee5\u4e0b\u8f6c\u6362&#xff0c;\u4ece\u800c\u751f\u6210\u4e00\u4e2a\u4ecb\u4e8e 0 \u5230 1 \u4e4b\u95f4\u7684\u8f93\u51fa\u503c&#xff0c;\u5373\u903b\u8f91\u56de\u5f52\u7b97\u6cd5\u4e2d\u7684\u5904\u7406\u51fd\u6570\u3002<\/p>\n<p>tanh&#xff08;\u7b80\u79f0\u201c\u53cc\u66f2\u6b63\u5207\u201d&#xff09;\u51fd\u6570\u4f1a\u8f6c\u6362\u8f93\u5165 x&#xff0c;\u4ee5\u751f\u6210\u4ecb\u4e8e -1 \u548c 1 \u4e4b\u95f4\u7684\u8f93\u51fa\u503c&#xff1a;F(x)&#061;tan(h(x))<\/p>\n<p>\u4ee5\u4e0b\u662f\u6b64\u51fd\u6570\u7684\u56fe\u8868&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102006-689b155618633.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u6574\u6d41\u7ebf\u6027\u6fc0\u6d3b\u51fd\u6570&#xff08;\u7b80\u79f0 ReLU&#xff09;\u4f7f\u7528\u4ee5\u4e0b\u7b97\u6cd5\u8f6c\u6362\u8f93\u51fa&#xff1a;<\/p>\n<ul>\n<li>\u5982\u679c\u8f93\u5165\u503c x \u5c0f\u4e8e 0&#xff0c;\u5219\u8fd4\u56de 0\u3002<\/li>\n<li>\u5982\u679c\u8f93\u5165\u503c x \u5927\u4e8e\u6216\u7b49\u4e8e 0&#xff0c;\u5219\u8fd4\u56de\u8f93\u5165\u503c\u3002<\/li>\n<\/ul>\n<p>\u53ef\u4ee5\u4f7f\u7528 max() \u51fd\u6570\u4ee5\u6570\u5b66\u65b9\u5f0f\u8868\u793a ReLU&#xff1a;F(x)&#061;max(0,x)<\/p>\n<p>\u4e0b\u9762\u662f\u8be5\u51fd\u6570\u7684\u56fe\u8868&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102006-689b1556e6c1b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>ReLU \u4f5c\u4e3a\u6fc0\u6d3b\u51fd\u6570\u7684\u6548\u679c\u901a\u5e38\u4f18\u4e8e S \u578b\u51fd\u6570\u6216 tanh \u7b49\u5e73\u6ed1\u51fd\u6570&#xff0c;\u56e0\u4e3a\u5b83\u5728\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u671f\u95f4\u4e0d\u6613\u53d7\u5230\u68af\u5ea6\u6d88\u5931\u95ee\u9898\u7684\u5f71\u54cd\u3002\u4e0e\u8fd9\u4e9b\u51fd\u6570\u76f8\u6bd4&#xff0c;ReLU \u7684\u8ba1\u7b97\u4e5f\u66f4\u5bb9\u6613\u3002<\/p>\n<h3>\u5341\u3001\u795e\u7ecf\u7f51\u7edc\u7684\u5b66\u4e60(Neural Networks: Learning)<\/h3>\n<h4>10.1 \u4ee3\u4ef7\u51fd\u6570<\/h4>\n<p>\u9996\u5148\u5f15\u5165\u6807\u8bb0\u65b9\u6cd5&#xff1a;<\/p>\n<p>\u5047\u8bbe\u795e\u7ecf\u7f51\u7edc\u7684\u8bad\u7ec3\u6837\u672c\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>\u4e2a&#xff0c;\u6bcf\u4e2a\u5305\u542b\u4e00\u7ec4\u8f93\u5165<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        x<\/p>\n<p>       x<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u548c\u4e00\u7ec4\u8f93\u51fa<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        y<\/p>\n<p>       y<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        L<\/p>\n<p>       L<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u795e\u7ecf\u7f51\u7edc\u5c42\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         I<\/p>\n<p>       S_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 style=\"margin-right: 0.0576em\" class=\"mord mathnormal\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span style=\"margin-right: 0.0785em\" 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>\u8868\u793a\u6bcf\u5c42\u7684neuron\u4e2a\u6570(<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         l<\/p>\n<p>       S_l<\/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 style=\"margin-right: 0.0576em\" class=\"mord mathnormal\">S<\/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: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793al\u5c42\u795e\u7ecf\u5143\u4e2a\u6570)&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         L<\/p>\n<p>       S_L<\/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 style=\"margin-right: 0.0576em\" class=\"mord mathnormal\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/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\u6700\u540e\u4e00\u5c42\u4e2d\u5904\u7406\u5355\u5143\u7684\u4e2a\u6570\u3002<\/p>\n<p>\u5c06\u795e\u7ecf\u7f51\u7edc\u7684\u5206\u7c7b\u5b9a\u4e49\u4e3a\u4e24\u79cd\u60c5\u51b5&#xff1a;\u4e8c\u7c7b\u5206\u7c7b\u548c\u591a\u7c7b\u5206\u7c7b&#xff0c;<\/p>\n<p>\u4e8c\u7c7b\u5206\u7c7b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         L<\/p>\n<p>        &#061;<\/p>\n<p>        0<\/p>\n<p>        ,<\/p>\n<p>        y<\/p>\n<p>        &#061;<\/p>\n<p>        0<br \/>\n       \u2009<\/p>\n<p>        o<\/p>\n<p>        r<br \/>\n       \u2009<\/p>\n<p>        1<\/p>\n<p>       S_L&#061;0, y&#061;0\\\\, or\\\\, 1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0576em\" class=\"mord mathnormal\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/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: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span style=\"margin-right: 0.0278em\" class=\"mord mathnormal\">or<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u54ea\u4e00\u7c7b&#xff1b;<\/p>\n<p><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: 0.6833em\"><\/span><span style=\"margin-right: 0.0715em\" class=\"mord mathnormal\">K<\/span><\/span><\/span><\/span><\/span>\u7c7b\u5206\u7c7b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         L<\/p>\n<p>        &#061;<\/p>\n<p>        k<\/p>\n<p>        ,<\/p>\n<p>         y<\/p>\n<p>         i<\/p>\n<p>        &#061;<\/p>\n<p>        1<\/p>\n<p>       S_L&#061;k, y_i &#061; 1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0576em\" class=\"mord mathnormal\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/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 style=\"margin-right: 0.0315em\" class=\"mord mathnormal\">k<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/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: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">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: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u5206\u5230\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>\u7c7b&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>        k<\/p>\n<p>        &gt;<\/p>\n<p>        2<\/p>\n<p>        )<\/p>\n<p>       (k&gt;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=\"mopen\">(<\/span><span style=\"margin-right: 0.0315em\" class=\"mord mathnormal\">k<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250812102007-689b1557a50bf.jpg\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56de\u987e\u903b\u8f91\u56de\u5f52\u95ee\u9898\u4e2d\u7684\u4ee3\u4ef7\u51fd\u6570&#xff1a; <img decoding=\"async\" src=\"2025-08-12cpa2caeqsoj.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5728\u903b\u8f91\u56de\u5f52\u4e2d&#xff0c;\u53ea\u6709\u4e00\u4e2a\u8f93\u51fa\u53d8\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        y<\/p>\n<p>       y<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u53c8\u79f0\u6807\u91cf&#xff08;scalar&#xff09;&#xff0c;\u4f46\u662f\u5728\u795e\u7ecf\u7f51\u7edc\u4e2d&#xff0c;\u53ef\u4ee5\u6709\u5f88\u591a\u8f93\u51fa\u53d8\u91cf&#xff0c;\u6b64\u65f6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         \u03b8<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>       h_\\\\theta(x)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal mtight\">\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\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u662f\u4e00\u4e2a\u7ef4\u5ea6\u4e3a<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 style=\"margin-right: 0.0315em\" class=\"mord mathnormal\">k<\/span><\/span><\/span><\/span><\/span>\u7684\u5411\u91cf&#xff0c;\u5bf9\u4e8e\u8f93\u51fa\u5c42\u7684\u6bcf\u4e00\u4e2a\u795e\u7ecf\u5143\u90fd\u4f1a\u6709\u4e00\u4e2a\u635f\u5931\u51fd\u6570&#xff0c;\u603b\u7684\u635f\u5931\u51fd\u6570\u9700\u8981\u5bf9\u5b83\u4eec\u6c42\u548c&#xff0c;\u56e0\u6b64\u4ee3\u4ef7\u51fd\u6570\u4f1a\u6bd4\u903b\u8f91\u56de\u5f52\u66f4\u52a0\u590d\u6742\u4e00\u4e9b&#xff0c;\u4e3a&#xff1a; <img decoding=\"async\" src=\"2025-08-122ykzfiqakis.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> \u8fd9\u4e2a\u770b\u8d77\u6765\u590d\u6742\u5f88\u591a\u7684\u4ee3\u4ef7\u51fd\u6570\u80cc\u540e\u7684\u601d\u60f3\u8fd8\u662f\u4e00\u6837\u7684&#xff0c;\u901a\u8fc7\u4ee3\u4ef7\u51fd\u6570\u6765\u89c2\u5bdf\u7b97\u6cd5\u9884\u6d4b\u7684\u7ed3\u679c\u4e0e\u771f\u5b9e\u60c5\u51b5\u7684\u8bef\u5dee\u6709\u591a\u5927&#xff0c;\u552f\u4e00\u4e0d\u540c\u7684\u662f&#xff0c;\u5bf9\u4e8e\u6bcf\u4e00\u884c\u6570\u636e\u90fd\u4f1a\u7ed9\u51fa<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 style=\"margin-right: 0.0315em\" class=\"mord mathnormal\">k<\/span><\/span><\/span><\/span><\/span>\u4e2a\u9884\u6d4b&#xff0c;\u7136\u540e\u5728<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 style=\"margin-right: 0.0315em\" class=\"mord mathnormal\">k<\/span><\/span><\/span><\/span><\/span>\u4e2a\u9884\u6d4b\u4e2d\u9009\u62e9\u53ef\u80fd\u6027\u6700\u9ad8\u7684\u4e00\u4e2a&#xff0c;\u5c06\u5176\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        y<\/p>\n<p>       y<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><\/span><\/span><\/span><\/span>\u4e2d\u7684\u5b9e\u9645\u6570\u636e\u8fdb\u884c\u6bd4\u8f83\u3002<\/p>\n<p>\u6b63\u5219\u5316\u7684\u90a3\u4e00\u9879\u6392\u9664\u6bcf\u4e00\u5c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b8<\/p>\n<p>         0<\/p>\n<p>       \\\\theta_0<\/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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal\">\u03b8<\/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: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u504f\u5dee&#xff09;&#xff0c;\u6700\u91cc\u5c42\u7684\u5faa\u73af<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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal\">j<\/span><\/span><\/span><\/span><\/span>\u5faa\u73af\u6743\u91cd\u77e9\u9635\u7684\u884c&#xff08;\u7531<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         s<\/p>\n<p>          l<\/p>\n<p>          &#043;<\/p>\n<p>          1<\/p>\n<p>       s_{l&#043;1}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6389em;vertical-align: -0.2083em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><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 style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5c42\u7684\u6fc0\u6d3b\u5355\u5143\u6570\u51b3\u5b9a&#xff09;&#xff0c;\u5faa\u73af<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>\u5219\u5faa\u73af\u6240\u6709\u7684\u5217&#xff0c;\u7531\u8be5\u5c42&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         s<\/p>\n<p>         l<\/p>\n<p>       s_l<\/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\">s<\/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 style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/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>\u5c42&#xff09;\u7684\u6fc0\u6d3b\u5355\u5143\u6570\u6240\u51b3\u5b9a&#xff0c;\u4f8b\u5982\u7b2c\u4e00\u5c42\u5230\u7b2c\u4e8c\u5c42\u7684\u6743\u91cd\u77e9\u9635\u662f\u4e94\u884c\u4e09\u5217\u3002<\/p>\n<h4>10.2 \u53cd\u5411\u4f20\u64ad\u7b97\u6cd5<\/h4>\n<p>\u795e\u7ecf\u7f51\u7edc\u9884\u6d4b\u7ed3\u679c\u91c7\u7528\u4e86\u4e00\u79cd\u6b63\u5411\u4f20\u64ad\u65b9\u6cd5&#xff0c;\u4ece\u7b2c\u4e00\u5c42\u5f00\u59cb\u6b63\u5411\u4e00\u5c42\u4e00\u5c42\u8fdb\u884c\u8ba1\u7b97&#xff0c;\u76f4\u5230\u6700\u540e\u4e00\u5c42\u7684<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>         \u03b8<\/p>\n<p>         (<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>       h_{\\\\theta}\\\\left(x\\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal mtight\">\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=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u73b0\u5728&#xff0c;\u4e3a\u4e86\u8ba1\u7b97\u4ee3\u4ef7\u51fd\u6570\u7684\u504f\u5bfc\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2202<\/p>\n<p>          \u2202<\/p>\n<p>           \u0398<\/p>\n<p>            i<\/p>\n<p>            j<\/p>\n<p>            (<\/p>\n<p>            l<\/p>\n<p>            )<\/p>\n<p>        J<\/p>\n<p>         (<\/p>\n<p>         \u0398<\/p>\n<p>         )<\/p>\n<p>       \\\\frac{\\\\partial}{\\\\partial\\\\Theta^{(l)}_{ij}}J\\\\left(\\\\Theta\\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.7543em;vertical-align: -0.8742em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8801em\"><span class=\"\" style=\"top: -2.4486em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.0556em\" class=\"mord mtight\">\u2202<\/span><span class=\"mord mtight\"><span class=\"mord mtight\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0591em\"><span class=\"\" style=\"top: -2.2134em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.0572em\" class=\"mord mathnormal mtight\">ij<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.0591em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4612em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.0556em\" class=\"mord mtight\">\u2202<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8742em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span style=\"margin-right: 0.0962em\" class=\"mord mathnormal\">J<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\">\u0398<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u9700\u8981\u91c7\u7528\u4e00\u79cd\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5&#xff0c;\u4e5f\u5c31\u662f\u9996\u5148\u8ba1\u7b97\u6700\u540e\u4e00\u5c42\u7684\u8bef\u5dee&#xff0c;\u7136\u540e\u518d\u4e00\u5c42\u4e00\u5c42\u53cd\u5411\u6c42\u51fa\u5404\u5c42\u7684\u8bef\u5dee&#xff0c;\u76f4\u5230\u5012\u6570\u7b2c\u4e8c\u5c42\u3002\u8fd9\u662f\u94fe\u5f0f\u6c42\u5bfc\u6cd5\u5219&#xff0c;\u4ee5\u4e00\u4e2a\u4f8b\u5b50\u6765\u8bf4\u660e\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u3002 \u4e94\u5206\u949f\u641e\u61c2\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5 <img decoding=\"async\" src=\"2025-08-12vwauzqjy1mz.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5047\u8bbe\u6211\u4eec\u7684\u8bad\u7ec3\u96c6\u53ea\u6709\u4e00\u4e2a\u6837\u672c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         x<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>        ,<\/p>\n<p>         y<\/p>\n<p>          (<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>        )<\/p>\n<p>       \\\\left({x}^{(1)},{y}^{(1)}\\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.238em;vertical-align: -0.35em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/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\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u4e2a\u56db\u5c42\u7684\u795e\u7ecf\u7f51\u7edc&#xff0c;\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        K<\/p>\n<p>        &#061;<\/p>\n<p>        4<\/p>\n<p>        &#xff0c;<\/p>\n<p>         S<\/p>\n<p>         L<\/p>\n<p>        &#061;<\/p>\n<p>        4<\/p>\n<p>        &#xff0c;<\/p>\n<p>        L<\/p>\n<p>        &#061;<\/p>\n<p>        4<\/p>\n<p>       K&#061;4&#xff0c;S_{L}&#061;4&#xff0c;L&#061;4<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span style=\"margin-right: 0.0715em\" class=\"mord mathnormal\">K<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\">4<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord\"><span style=\"margin-right: 0.0576em\" class=\"mord mathnormal\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;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\">L<\/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: 0.6833em\"><\/span><span class=\"mord\">4<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord mathnormal\">L<\/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\">4<\/span><\/span><\/span><\/span><\/span>&#xff1a;<\/p>\n<p>\u524d\u5411\u4f20\u64ad\u7b97\u6cd5&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"2025-08-12x1lukkchrda.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          a<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           )<\/p>\n<p>        {a^{(t)}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u7b2ct\u5c42\u7684\u6fc0\u6d3b\u51fd\u6570<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          z<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           )<\/p>\n<p>        {z^{(t)}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u4eff\u5c04\u51fd\u6570&#xff0c;\u5373\u5bf9\u8f93\u5165\u4f5c\u7ebf\u6027\u53d8\u6362\u3002<\/li>\n<\/ul>\n<p>\u4e0b\u9762\u7684\u516c\u5f0f\u63a8\u5bfc\u8fc7\u7a0b\u89c1&#xff1a;https:\/\/blog.csdn.net\/qq_29762941\/article\/details\/80343185<\/p>\n<p>\u5047\u8bbe\u635f\u5931\u51fd\u6570\u662f\u5e73\u65b9\u635f\u5931<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         1<\/p>\n<p>         2<\/p>\n<p>        (<\/p>\n<p>         a<\/p>\n<p>          (<\/p>\n<p>          4<\/p>\n<p>          )<\/p>\n<p>        \u2212<\/p>\n<p>        y<\/p>\n<p>         )<\/p>\n<p>         2<\/p>\n<p>       \\\\frac{1}{2}(a^{(4)}-y)^2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.233em;vertical-align: -0.345em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8451em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">4<\/span><span class=\"mclose mtight\">)<\/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: 1.0641em;vertical-align: -0.25em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><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>&#xff0c;\u6fc0\u6d3b\u51fd\u6570\u662f\u6052\u7b49\u51fd\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        g<\/p>\n<p>        (<\/p>\n<p>        z<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>        z<\/p>\n<p>       g(z)&#061;z<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mopen\">(<\/span><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/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: 0.4306em\"><\/span><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><\/span><\/span><\/span><\/span>\u3002\u5b9a\u4e49\u7b2ct\u5c42\u8bef\u5dee\u662f\u635f\u5931\u51fd\u6570\u5bf9<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           )<\/p>\n<p>        z^{(t)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u68af\u5ea6\u3002 \u7528<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          t<\/p>\n<p>          )<\/p>\n<p>       \\\\delta^{(t)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6765\u8868\u793a\u7b2ct\u5c42\u8bef\u5dee&#xff0c;\u5219&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          4<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>         a<\/p>\n<p>          (<\/p>\n<p>          4<\/p>\n<p>          )<\/p>\n<p>        \u2212<\/p>\n<p>        y<\/p>\n<p>        &#061;<\/p>\n<p>        g<\/p>\n<p>        (<\/p>\n<p>         z<\/p>\n<p>          (<\/p>\n<p>          4<\/p>\n<p>          )<\/p>\n<p>        )<\/p>\n<p>        \u2212<\/p>\n<p>        y<\/p>\n<p>       \\\\delta^{(4)}&#061;a^{(4)}-y&#061;g(z^{(4)})-y<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">4<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9713em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">4<\/span><span class=\"mclose mtight\">)<\/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: 0.625em;vertical-align: -0.1944em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">4<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">y<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u53ef\u4ee5\u770b\u51fa\u6839\u636e\u5b9a\u4e49\u8ba1\u7b97\u7684\u8bef\u5dee\u6b63\u597d\u662f\u6700\u540e\u4e00\u5c42\u7684\u8f93\u51fa\u4e0e\u6837\u672cy\u7684\u5dee&#xff0c;\u8bc1\u660e\u8fd9\u6837\u5b9a\u4e49\u6c42\u7b2ct\u5c42\u8bef\u5dee\u516c\u5f0f\u662f\u5408\u7406\u7684\u3002<\/p>\n<p>\u5229\u7528\u8fd9\u4e2a\u8bef\u5dee\u503c\u6765\u8ba1\u7b97\u524d\u4e00\u5c42\u7684\u8bef\u5dee&#xff0c;\u94fe\u5f0f\u6cd5\u5219&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          3<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>          (<\/p>\n<p>           \u0398<\/p>\n<p>            (<\/p>\n<p>            3<\/p>\n<p>            )<\/p>\n<p>          )<\/p>\n<p>         T<\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          4<\/p>\n<p>          )<\/p>\n<p>        \u2217<\/p>\n<p>         g<\/p>\n<p>         \u2032<\/p>\n<p>         (<\/p>\n<p>          z<\/p>\n<p>           (<\/p>\n<p>           3<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>       \\\\delta^{(3)}&#061;\\\\left({\\\\Theta^{(3)}}\\\\right)^{T}\\\\delta^{(4)}\\\\ast g&#039;\\\\left(z^{(3)}\\\\right)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">3<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.4692em;vertical-align: -0.35em\"><\/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\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">3<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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: 1.1192em\"><span class=\"\" style=\"top: -3.3409em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.1389em\" class=\"mord mathnormal mtight\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">4<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.238em;vertical-align: -0.35em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">3<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         g<\/p>\n<p>         \u2032<\/p>\n<p>        (<\/p>\n<p>         z<\/p>\n<p>          (<\/p>\n<p>          3<\/p>\n<p>          )<\/p>\n<p>        )<\/p>\n<p>       g&#039;(z^{(3)})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">3<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u662f \u6fc0\u6d3b\u51fd\u6570\u7684\u5bfc\u6570\u3002\u800c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         \u03b8<\/p>\n<p>          (<\/p>\n<p>          3<\/p>\n<p>          )<\/p>\n<p>         )<\/p>\n<p>         T<\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          4<\/p>\n<p>          )<\/p>\n<p>       (\u03b8^{(3)})^{T}\\\\delta^{(4)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.0278em\" class=\"mord mathnormal\">\u03b8<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">3<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.1389em\" class=\"mord mathnormal mtight\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">4<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5219\u662f\u6743\u91cd\u5bfc\u81f4\u7684\u8bef\u5dee\u7684\u548c\u3002\u4e0b\u4e00\u6b65\u662f\u7ee7\u7eed\u8ba1\u7b97\u7b2c\u4e8c\u5c42\u7684\u8bef\u5dee&#xff1a; <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>        (<\/p>\n<p>         \u0398<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>         )<\/p>\n<p>         T<\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          3<\/p>\n<p>          )<\/p>\n<p>        \u2217<\/p>\n<p>         g<\/p>\n<p>         \u2032<\/p>\n<p>        (<\/p>\n<p>         z<\/p>\n<p>          (<\/p>\n<p>          2<\/p>\n<p>          )<\/p>\n<p>        )<\/p>\n<p>       \\\\delta^{(2)}&#061;(\\\\Theta^{(2)})^{T}\\\\delta^{(3)}\\\\ast g&#039;(z^{(2)})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.1389em\" class=\"mord mathnormal mtight\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">3<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">2<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6839\u636e\u9012\u5f52&#xff0c;\u53ef\u5f97\u5230<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          t<\/p>\n<p>          \u2212<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>        &#061;<\/p>\n<p>        (<\/p>\n<p>         \u0398<\/p>\n<p>          (<\/p>\n<p>          t<\/p>\n<p>          \u2212<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         )<\/p>\n<p>         T<\/p>\n<p>         \u03b4<\/p>\n<p>          (<\/p>\n<p>          t<\/p>\n<p>          )<\/p>\n<p>        \u2217<\/p>\n<p>         g<\/p>\n<p>         \u2032<\/p>\n<p>        (<\/p>\n<p>         z<\/p>\n<p>          (<\/p>\n<p>          t<\/p>\n<p>          \u2212<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>        )<\/p>\n<p>       \\\\delta^{(t-1)}&#061;(\\\\Theta^{(t-1)})^{T}\\\\delta^{(t)}\\\\ast g&#039;(z^{(t-1)})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.1389em\" class=\"mord mathnormal mtight\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u56e0\u4e3a\u7b2c\u4e00\u5c42\u662f\u8f93\u5165\u53d8\u91cf&#xff0c;\u4e0d\u5b58\u5728\u8bef\u5dee\u3002\u6709\u4e86\u6240\u6709\u7684\u8bef\u5dee\u7684\u8868\u8fbe\u5f0f\u540e&#xff0c;\u4fbf\u53ef\u4ee5\u8ba1\u7b97\u4ee3\u4ef7\u51fd\u6570\u7684\u504f\u5bfc\u6570\u4e86&#xff0c;\u5047\u8bbe<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03bb<\/p>\n<p>        &#061;<\/p>\n<p>        0<\/p>\n<p>       \u03bb&#061;0<\/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 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<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5373\u4e0d\u505a\u4efb\u4f55\u6b63\u5219\u5316\u5904\u7406\u65f6\u6709&#xff0c;\u94fe\u5f0f\u6cd5\u5219&#xff1a; <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2202<\/p>\n<p>          \u2202<\/p>\n<p>           \u0398<\/p>\n<p>            i<\/p>\n<p>            j<\/p>\n<p>            (<\/p>\n<p>            l<\/p>\n<p>            )<\/p>\n<p>        J<\/p>\n<p>        (<\/p>\n<p>        \u0398<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>         a<\/p>\n<p>         j<\/p>\n<p>          (<\/p>\n<p>          l<\/p>\n<p>          \u2212<\/p>\n<p>          1<\/p>\n<p>          )<\/p>\n<p>         \u03b4<\/p>\n<p>         i<\/p>\n<p>         l<\/p>\n<p>       \\\\frac{\\\\partial}{\\\\partial\\\\Theta_{ij}^{(l)}}J(\\\\Theta)&#061;a_{j}^{(l-1)} \\\\delta_{i}^{l}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.7543em;vertical-align: -0.8742em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8801em\"><span class=\"\" style=\"top: -2.4486em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.0556em\" class=\"mord mtight\">\u2202<\/span><span class=\"mord mtight\"><span class=\"mord mtight\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0591em\"><span class=\"\" style=\"top: -2.2134em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.0572em\" class=\"mord mathnormal mtight\">ij<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.0591em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4612em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.394em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.0556em\" class=\"mord mtight\">\u2202<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8742em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span style=\"margin-right: 0.0962em\" class=\"mord mathnormal\">J<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u0398<\/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: 1.4578em;vertical-align: -0.413em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal mtight\">j<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.413em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><span class=\"\" style=\"top: -2.4413em;margin-left: -0.0379em;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 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 style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/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><\/p>\n<ul>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          l<\/p>\n<p>         l<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span style=\"margin-right: 0.0197em\" class=\"mord mathnormal\">l<\/span><\/span><\/span><\/span><\/span> \u4ee3\u8868\u76ee\u524d\u6240\u8ba1\u7b97\u7684\u662f\u7b2c\u51e0\u5c42\u3002<\/p>\n<\/li>\n<li>\n<p><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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal\">j<\/span><\/span><\/span><\/span><\/span> \u4ee3\u8868\u6743\u91cd\u77e9\u9635\u4e2d\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>\u5217&#xff0c;\u76ee\u524d\u8ba1\u7b97\u5c42\u4e2d\u7684\u6fc0\u6d3b\u5355\u5143\u7684\u4e0b\u6807&#xff0c;\u4e5f\u5c06\u662f\u4e0b\u4e00\u5c42\u7684\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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal\">j<\/span><\/span><\/span><\/span><\/span>\u4e2a\u8f93\u5165\u53d8\u91cf\u7684\u4e0b\u6807\u3002<\/p>\n<\/li>\n<li>\n<p><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> \u4ee3\u8868\u6743\u91cd\u77e9\u9635\u4e2d\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>\u884c\u3002<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           a<\/p>\n<p>           j<\/p>\n<p>            (<\/p>\n<p>            l<\/p>\n<p>            \u2212<\/p>\n<p>            1<\/p>\n<p>            )<\/p>\n<p>         a_{j}^{(l-1)}<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.4578em;vertical-align: -0.413em\"><\/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: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;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 style=\"margin-right: 0.0572em\" class=\"mord mathnormal mtight\">j<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.413em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5373\u5bf9\u4eff\u5c04\u51fd\u6570\u7684\u6743\u91cd\u6c42\u504f\u5bfc\u7684\u7ed3\u679c&#xff0c;\u7ed3\u679c\u662f\u4e0a\u4e00\u5c42\u7684\u8f93\u5165\u3002<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u03b4<\/p>\n<p>           i<\/p>\n<p>           l<\/p>\n<p>         \\\\delta_{i}^{l}<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1078em;vertical-align: -0.2587em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><span class=\"\" style=\"top: -2.4413em;margin-left: -0.0379em;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 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 style=\"margin-right: 0.0197em\" class=\"mord mathnormal mtight\">l<\/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>\u5373\u635f\u5931\u51fd\u6570\u5bf9\u4eff\u5c04\u51fd\u6570\u6c42\u504f\u5bfc&#xff0c;\u662f\u6211\u4eec\u5b9a\u4e49\u7684\u8bef\u5dee\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u7136\u540e\u7528\u5b66\u4e60\u7387\u66f4\u65b0\u7b2ct\u5c42\u7684\u53c2\u6570&#xff0c;\u518d\u5c06\u7b2ct\u5c42\u7684\u8bef\u5dee\u4f20\u5230\u7b2ct-1\u5c42&#xff0c;\u7ee7\u7eed\u5faa\u73af\u66f4\u65b0\u3002<\/p>\n<p>\u4e0a\u9762\u4ecb\u7ecd\u4e86\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5&#xff0c;\u611f\u89c9\u7b80\u76f4\u662f\u592a\u590d\u6742\u4e86&#xff0c;\u5b9e\u5728\u4e0d\u77e5\u9053\u8fd9\u4e9b\u6b65\u9aa4&#xff0c;\u5230\u5e95\u5e94\u8be5\u5982\u4f55\u5408\u5728\u4e00\u8d77\u4f7f\u7528\u3002\u5c31\u597d\u50cf\u4e00\u4e2a\u9ed1\u7bb1&#xff0c;\u91cc\u9762\u5145\u6ee1\u4e86\u590d\u6742\u7684\u6b65\u9aa4\u3002\u8fd9\u5176\u5b9e\u662f\u6b63\u5e38\u7684&#xff0c;\u76f8\u6bd4\u4e8e\u7ebf\u6027\u56de\u5f52\u7b97\u6cd5\u548c\u903b\u8f91\u56de\u5f52\u7b97\u6cd5\u800c\u8a00&#xff0c;\u4ece\u6570\u5b66\u7684\u89d2\u5ea6\u4e0a\u8bb2&#xff0c;\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u4f3c\u4e4e\u5e76\u4e0d\u7b80\u6d01&#xff0c;\u5bf9\u4e8e\u53cd\u5411\u4f20\u64ad\u8fd9\u79cd\u7b97\u6cd5&#xff0c;\u5176\u5b9e\u5434\u6069\u8fbe\u8bf4\u4e5f\u7ecf\u5e38\u611f\u89c9\u5bf9\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u7684\u7406\u89e3\u5e76\u4e0d\u662f\u5341\u5206\u6df1\u5165&#xff0c;\u5bf9\u4e8e\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u7a76\u7adf\u662f\u5982\u4f55\u6267\u884c\u7684&#xff0c;\u5e76\u6ca1\u6709\u4e00\u4e2a\u5f88\u76f4\u89c2\u7684\u7406\u89e3\u3002<\/p>\n<h4>10.3 \u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8<\/h4>\n<p>\u5728\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u8fc7\u7a0b\u4e2d&#xff0c;\u5404\u5c42\u7684\u68af\u5ea6&#xff0c;\u7279\u522b\u662f\u524d\u9762\u5c42\u7684\u68af\u5ea6&#xff0c;\u6709\u65f6\u4f1a\u63a5\u8fd10&#xff08;\u68af\u5ea6\u6d88\u5931&#xff09;\u6216\u63a5\u8fd1\u65e0\u7a77&#xff08;\u68af\u5ea6\u7206\u70b8&#xff09;\u3002\u68af\u5ea6\u6d88\u5931\u4f1a\u5bfc\u81f4\u53c2\u6570\u66f4\u65b0\u505c\u6b62&#xff0c;\u68af\u5ea6\u7206\u70b8\u4f1a\u5bfc\u81f4\u53c2\u6570\u6ea2\u51fa&#xff0c;\u90fd\u4f1a\u4f7f\u5b66\u4e60\u65e0\u6cd5\u6709\u6548\u7684\u8fdb\u884c\u3002<\/p>\n<p>\u9020\u6210\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8\u6709\u4e24\u79cd\u539f\u56e0&#xff1a;<\/p>\n<li>\u6bcf\u4e00\u5c42\u8bef\u5dee\u5411\u91cf\u7684\u4f20\u64ad\u5b9e\u9645\u7531\u77e9\u9635\u7684\u8fde\u4e58\u51b3\u5b9a&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u03b4<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>         (<\/p>\n<p>          \u0398<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>          )<\/p>\n<p>          T<\/p>\n<p>          \u03b4<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           )<\/p>\n<p>         \u2217<\/p>\n<p>          g<\/p>\n<p>          \u2032<\/p>\n<p>         (<\/p>\n<p>          z<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>        \\\\delta^{(t-1)}&#061;(\\\\Theta^{(t-1)})^{T}\\\\delta^{(t)}\\\\ast g&#039;(z^{(t-1)})<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.1389em\" class=\"mord mathnormal mtight\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.0379em\" class=\"mord mathnormal\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2217<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5982\u679c\u77e9\u9635<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         (<\/p>\n<p>          \u0398<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>          )<\/p>\n<p>          T<\/p>\n<p>          g<\/p>\n<p>          \u2032<\/p>\n<p>         (<\/p>\n<p>          z<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>        (\\\\Theta^{(t-1)})^{T}g&#039;(z^{(t-1)})<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">\u0398<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span style=\"margin-right: 0.1389em\" class=\"mord mathnormal mtight\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u59cb\u7ec8\u5c0f\u4e8e1&#xff0c;\u8fde\u4e58\u5f97\u5230\u7684\u77e9\u9635\u53ef\u80fd\u63a5\u8fd10\u9020\u6210\u68af\u5ea6\u6d88\u5931&#xff0c;\u76f8\u53cd\u63a5\u8fd1\u65e0\u7a77\u9020\u6210\u68af\u5ea6\u7206\u70b8\u3002<\/li>\n<li>\u6fc0\u6d3b\u51fd\u6570\u7684\u5bfc\u6570<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          g<\/p>\n<p>          \u2032<\/p>\n<p>         (<\/p>\n<p>          z<\/p>\n<p>           (<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>        g&#039;(z^{(t-1)})<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span style=\"margin-right: 0.0359em\" class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span style=\"margin-right: 0.044em\" class=\"mord mathnormal\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u8fc7\u5c0f&#xff0c;\u4f1a\u5f15\u8d77\u68af\u5ea6\u6d88\u5931&#xff0c;\u76f8\u53cd\u5f15\u8d77\u68af\u5ea6\u7206\u70b8\u3002<\/li>\n<p>\u6709\u4e00\u4e9b\u9632\u6b62\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8\u7684\u6280\u5de7&#xff1a;<\/p>\n<li>\u6070\u5f53\u7684\u53c2\u6570\u968f\u673a\u5316&#xff0c;\u4e00\u4e2a\u7ecf\u9a8c\u7684\u65b9\u6cd5\u662f\u5bf9\u6bcf\u4e2a\u795e\u7ecf\u5143\u7684\u6743\u91cd\u521d\u59cb\u5316\u6839\u636e\u6b63\u6001\u5206\u5e03\u53d6\u503c\u3002<\/li>\n<li>\u9009\u53d6\u6574\u6d41\u7ebf\u6027\u51fd\u6570\u4f5c\u4e3a\u6fc0\u6d3b\u51fd\u6570&#xff08;ReLU&#xff09;&#xff0c;\u5177\u4f53\u7684\u539f\u56e0\u73b0\u5728\u5176\u5b9e\u4e5f\u6ca1\u6709\u4ece\u7406\u8bba\u4e0a\u5f97\u4ee5\u8bc1\u660e\u3002<\/li>\n<li>\u4f7f\u7528\u7279\u5b9a\u7684\u7f51\u7edc\u67b6\u6784&#xff0c;ResNet\u548cLSTM\u53ef\u4ee5\u66f4\u597d\u7684\u907f\u514d\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8\u95ee\u9898\u3002<\/li>\n<li>\u5f52\u4e00\u5316\u53ef\u4ee5\u52a0\u5feb\u5b66\u4e60\u6536\u655b\u901f\u5ea6&#xff0c;\u4e5f\u53ef\u4ee5\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u907f\u514d\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8\u3002<\/li>\n<h4>10.4 Dropout\u6b63\u5219\u5316<\/h4>\n<p>\u524d\u9762\u7684\u4ee3\u4ef7\u51fd\u6570\u8003\u8651\u4e86L2\u6b63\u5219\u5316&#xff0c;\u8fd8\u6709\u4e00\u79cd\u6b63\u5219\u5316\u5f62\u5f0f&#xff0c;\u79f0\u4e3aDropout \u6b63\u5219\u5316&#xff0c;\u5bf9\u795e\u7ecf\u7f51\u7edc\u5f88\u6709\u7528\u3002Dropout\u6307\u7684\u662f\u5728\u7528\u524d\u5411\u4f20\u64ad\u7b97\u6cd5\u548c\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u8bad\u7ec3DNN\u6a21\u578b\u65f6&#xff0c;\u4e00\u6279\u6570\u636e\u8fed\u4ee3\u65f6&#xff0c;\u968f\u673a\u7684\u4ece\u5168\u8fde\u63a5DNN\u7f51\u7edc\u4e2d\u53bb\u6389\u4e00\u90e8\u5206\u9690\u85cf\u5c42\u7684\u795e\u7ecf\u5143\u3002<\/p>\n<p>Dropout \u901a\u8fc7\u968f\u673a\u79fb\u9664\u90e8\u5206\u795e\u7ecf\u5143\u8feb\u4f7f\u6bcf\u4e2a\u795e\u7ecf\u5143\u72ec\u7acb\u5b66\u4e60\u6709\u7528\u7684\u7279\u5f81&#xff0c;\u907f\u514d\u4e86\u6a21\u578b\u5bf9\u67d0\u4e9b\u56fa\u5b9a\u7279\u5f81\u7ec4\u5408\u7684\u4f9d\u8d56&#xff0c;\u4ece\u800c\u63d0\u9ad8\u4e86\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b&#xff0c;\u51cf\u5c11\u8fc7\u62df\u5408\u3002<\/p>\n<p><img decoding=\"async\" src=\"2025-08-12lgche4y40av.png\" alt=\"img\" \/><\/p>\n<p>Dropout \u5b9e\u73b0\u6d41\u7a0b&#xff1a;<\/p>\n<li>\n<p>\u521d\u59cb\u5316\u9636\u6bb5&#xff1a;\u5728\u795e\u7ecf\u7f51\u7edc\u7684\u6bcf\u4e00\u5c42\u4e2d&#xff0c;\u8bbe\u7f6e\u4e00\u4e2a dropout rate&#xff08;\u901a\u5e38\u4e3a 0.5&#xff09;&#xff0c;\u8868\u793a\u8bad\u7ec3\u65f6\u6bcf\u6b21\u8fed\u4ee3\u968f\u673a\u4e22\u5f03\u795e\u7ecf\u5143\u7684\u6bd4\u4f8b\u3002\u8f93\u5165\u5c42\u548c\u8f93\u51fa\u5c42\u7684\u795e\u7ecf\u5143\u4e0d\u4f1a\u88ab\u4e22\u5f03&#xff0c;\u53ea\u6709\u9690\u85cf\u5c42\u7684\u795e\u7ecf\u5143\u4f1a\u88ab\u968f\u673a\u9009\u62e9\u3002<\/p>\n<\/li>\n<li>\n<p>\u524d\u5411\u4f20\u64ad&#xff1a;\u5728\u6bcf\u6b21\u8fed\u4ee3\u7684\u524d\u5411\u4f20\u64ad\u9636\u6bb5&#xff0c;\u6309\u7167dropout rate\u968f\u673a\u9009\u62e9\u9690\u85cf\u5c42\u4e2d\u7684\u4e00\u90e8\u5206\u795e\u7ecf\u5143&#xff0c;\u5e76\u5c06\u5176\u4e34\u65f6\u4e22\u5f03&#xff08;\u8bbe\u5176\u8f93\u51fa\u4e3a 0&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u53c2\u6570\u66f4\u65b0&#xff1a;\u5c06\u8f93\u5165\u6570\u636e\u901a\u8fc7\u4fee\u6539\u540e\u7684\u7f51\u7edc\u8fdb\u884c\u524d\u5411\u4f20\u64ad&#xff0c;\u8ba1\u7b97\u5f97\u5230\u7684\u635f\u5931\u3002 \u901a\u8fc7\u4fee\u6539\u540e\u7684\u7f51\u7edc\u8fdb\u884c\u53cd\u5411\u4f20\u64ad&#xff0c;\u6839\u636e\u635f\u5931\u5bf9\u672a\u88ab\u4e22\u5f03\u7684\u795e\u7ecf\u5143\u8fdb\u884c\u68af\u5ea6\u66f4\u65b0&#xff08;\u5982\u968f\u673a\u68af\u5ea6\u4e0b\u964d\u6cd5&#xff09;\u3002\u88ab\u4e22\u5f03\u7684\u795e\u7ecf\u5143\u7684\u53c2\u6570\u4e0d\u4f1a\u66f4\u65b0&#xff0c;\u4fdd\u6301\u539f\u6837\u3002<\/p>\n<\/li>\n<li>\n<p>\u5faa\u73af\u8fc7\u7a0b&#xff1a;<\/p>\n<p>\u6062\u590d\u88ab\u4e22\u5f03\u7684\u795e\u7ecf\u5143&#xff1a;\u6062\u590d\u4e4b\u524d\u88ab\u4e34\u65f6\u4e22\u5f03\u7684\u795e\u7ecf\u5143&#xff0c;\u4f7f\u5176\u5728\u4e0b\u4e00\u6b21\u8fed\u4ee3\u4e2d\u91cd\u65b0\u53c2\u4e0e\u8bad\u7ec3\u3002 \u91cd\u65b0\u968f\u673a\u4e22\u5f03\u795e\u7ecf\u5143&#xff1a;\u5728\u4e0b\u4e00\u6b21\u8fed\u4ee3\u4e2d&#xff0c;\u91cd\u65b0\u968f\u673a\u9009\u62e9\u9690\u85cf\u5c42\u4e2d\u7684\u90e8\u5206\u795e\u7ecf\u5143\u8fdb\u884c\u4e22\u5f03\u3002\u6bcf\u6279\u6570\u636e\u8bad\u7ec3\u65f6&#xff0c;\u90fd\u4f1a\u968f\u673a\u9009\u62e9\u4e0d\u540c\u7684\u795e\u7ecf\u5143\u8fdb\u884c\u4e22\u5f03&#xff0c;\u786e\u4fdd\u6a21\u578b\u6bcf\u6b21\u8bad\u7ec3\u7684\u5b50\u7f51\u7edc\u90fd\u4e0d\u540c\u3002<\/p>\n<p>\u91cd\u590d\u4e0a\u8ff0\u7684\u524d\u5411\u4f20\u64ad\u3001\u53c2\u6570\u66f4\u65b0\u3001\u6062\u590d\u548c\u91cd\u65b0\u4e22\u5f03\u795e\u7ecf\u5143\u7684\u8fc7\u7a0b&#xff0c;\u76f4\u5230\u8bad\u7ec3\u5b8c\u6210\u3002<\/p>\n<\/li>\n<p>\u603b\u7ed3&#xff1a; \u6bcf\u8f6e\u68af\u5ea6\u4e0b\u964d\u8fed\u4ee3\u65f6&#xff0c;\u5b83\u9700\u8981\u5c06\u8bad\u7ec3\u6570\u636e\u5206\u6210\u82e5\u5e72\u6279&#xff0c;\u7136\u540e\u5206\u6279\u8fdb\u884c\u8fed\u4ee3&#xff0c;\u6bcf\u6279\u6570\u636e\u8fed\u4ee3\u65f6&#xff0c;\u9700\u8981\u5c06\u539f\u59cb\u7684DNN\u6a21\u578b\u968f\u673a\u53bb\u6389\u90e8\u5206\u9690\u85cf\u5c42\u7684\u795e\u7ecf\u5143&#xff0c;\u7528\u6b8b\u7f3a\u7684DNN\u6a21\u578b\u6765\u8fed\u4ee3\u66f4\u65b0\u6743\u91cd\u548c\u504f\u5dee\u3002\u6bcf\u6279\u6570\u636e\u8fed\u4ee3\u66f4\u65b0\u5b8c\u6bd5\u540e&#xff0c;\u8981\u5c06\u6b8b\u7f3a\u7684DNN\u6a21\u578b\u6062\u590d\u6210\u539f\u59cb\u7684DNN\u6a21\u578b\u3002<\/p>\n<p>\u6ce8\u610f&#xff1a;<\/p>\n<li>dropout\u6a21\u578b\u4e2d\u7684\u6743\u91cd\u548c\u504f\u5dee\u662f\u5171\u4eab\u7684\u3002\u6240\u6709\u7684\u6b8b\u7f3aDNN\u8fed\u4ee3\u65f6&#xff0c;\u66f4\u65b0\u7684\u662f\u540c\u4e00\u7ec4\u6743\u91cd\u548c\u504f\u5dee\u3002<\/li>\n<li>\u7531\u4e8edropout\u4f1a\u5c06\u539f\u59cb\u6570\u636e\u5206\u6279\u8fed\u4ee3&#xff0c;\u56e0\u6b64\u539f\u59cb\u6570\u636e\u96c6\u6700\u597d\u8f83\u5927&#xff0c;\u5426\u5219\u6a21\u578b\u53ef\u80fd\u4f1a\u6b20\u62df\u5408\u3002<\/li>\n<h4>10.5 \u7efc\u5408\u8d77\u6765<\/h4>\n<p>\u5c0f\u7ed3\u4e00\u4e0b\u4f7f\u7528\u795e\u7ecf\u7f51\u7edc\u65f6\u7684\u6b65\u9aa4&#xff1a;<\/p>\n<p>\u7f51\u7edc\u7ed3\u6784&#xff1a;\u7b2c\u4e00\u4ef6\u8981\u505a\u7684\u4e8b\u662f\u9009\u62e9\u7f51\u7edc\u7ed3\u6784&#xff0c;\u5373\u51b3\u5b9a\u9009\u62e9\u591a\u5c11\u5c42\u4ee5\u53ca\u51b3\u5b9a\u6bcf\u5c42\u5206\u522b\u6709\u591a\u5c11\u4e2a\u5355\u5143\u3002<\/p>\n<p>\u7b2c\u4e00\u5c42\u7684\u5355\u5143\u6570\u5373\u8bad\u7ec3\u96c6\u7684\u7279\u5f81\u6570\u91cf\u3002<\/p>\n<p>\u6700\u540e\u4e00\u5c42\u7684\u5355\u5143\u6570\u662f\u7ed3\u679c\u7684\u7c7b\u7684\u6570\u91cf\u3002<\/p>\n<p>\u5982\u679c\u9690\u85cf\u5c42\u6570\u5927\u4e8e1&#xff0c;\u786e\u4fdd\u6bcf\u4e2a\u9690\u85cf\u5c42\u7684\u5355\u5143\u4e2a\u6570\u76f8\u540c&#xff0c;\u901a\u5e38\u60c5\u51b5\u4e0b\u9690\u85cf\u5c42\u5355\u5143\u7684\u4e2a\u6570\u8d8a\u591a\u8d8a\u597d\u3002<\/p>\n<p>\u6211\u4eec\u771f\u6b63\u8981\u51b3\u5b9a\u7684\u662f\u9690\u85cf\u5c42\u7684\u5c42\u6570\u548c\u6bcf\u4e2a\u4e2d\u95f4\u5c42\u7684\u5355\u5143\u6570\u3002<\/p>\n<p>\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc&#xff1a;<\/p>\n<li>\u53c2\u6570\u7684\u968f\u673a\u521d\u59cb\u5316<\/li>\n<li>\u5229\u7528\u6b63\u5411\u4f20\u64ad\u65b9\u6cd5\u8ba1\u7b97\u6240\u6709\u7684<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          h<\/p>\n<p>          \u03b8<\/p>\n<p>         (<\/p>\n<p>         x<\/p>\n<p>         )<\/p>\n<p>        h_{\\\\theta}(x)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><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 style=\"margin-right: 0.0278em\" class=\"mord mathnormal mtight\">\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\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u8ba1\u7b97\u4ee3\u4ef7\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         J<\/p>\n<p>        J<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span style=\"margin-right: 0.0962em\" class=\"mord mathnormal\">J<\/span><\/span><\/span><\/span><\/span> \u7684\u4ee3\u7801<\/li>\n<li>\u5229\u7528\u53cd\u5411\u4f20\u64ad\u65b9\u6cd5\u8ba1\u7b97\u6240\u6709\u504f\u5bfc\u6570<\/li>\n<li>\u4f7f\u7528\u4f18\u5316\u7b97\u6cd5\u6765\u6700\u5c0f\u5316\u4ee3\u4ef7\u51fd\u6570<\/li>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb339\u6b21\uff0c\u70b9\u8d5e8\u6b21\uff0c\u6536\u85cf2\u6b21\u3002\u65e0\u8bba\u662f\u7ebf\u6027\u56de\u5f52\u8fd8\u662f\u903b\u8f91\u56de\u5f52\u90fd\u6709\u8fd9\u6837\u4e00\u4e2a\u7f3a\u70b9\uff0c\u5373\uff1a\u5f53\u7279\u5f81\u592a\u591a\u65f6\uff0c\u8ba1\u7b97\u7684\u8d1f\u8377\u4f1a\u975e\u5e38\u5927\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u4f8b\u5b50\uff0c\u4f7f\u7528x1x_1x1\u200bx2x_2x2\u200b\u7684\u591a\u6b21\u9879\u5f0f\u8fdb\u884c\u9884\u6d4b\u65f6\uff0c\u53ef\u4ee5\u5e94\u7528\u7684\u5f88\u597d\uff1a\u4f7f\u7528\u975e\u7ebf\u6027\u7684\u591a\u9879\u5f0f\u9879\uff0c\u80fd\u591f\u5efa\u7acb\u66f4\u597d\u7684\u5206\u7c7b\u6a21\u578b\u3002\u4f46\u662f\u5047\u8bbe\u6709\u975e\u5e38\u591a\u7684\u7279\u5f81\uff0c\u6b64\u65f6\u6784\u5efa\u4e00\u4e2a\u975e\u7ebf\u6027\u7684\u591a\u9879\u5f0f\u6a21\u578b\uff0c\u7ed3\u679c\u5c06\u662f\u6570\u91cf\u975e\u5e38\u60ca\u4eba\u7684\u7279\u5f81\u7ec4\u5408\uff0c\u5373\u4fbf\u53ea\u91c7\u7528\u4e24\u4e24\u7279\u5f81\u7684\u7ec4\u5408x1x2x1x3x1x4x2x3x2x4x99x100x1\u200bx2\u200bx1\u200bx3\u200bx1\u3002<\/p>\n","protected":false},"author":2,"featured_media":53864,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[587,50,207,86,305],"topic":[],"class_list":["post-53884","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-587","tag-50","tag-207","tag-86","tag-305"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u673a\u5668\u5b66\u4e60\u901f\u6210\u7b14\u8bb0week5\uff1a\u795e\u7ecf\u7f51\u7edc - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/53884.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u673a\u5668\u5b66\u4e60\u901f\u6210\u7b14\u8bb0week5\uff1a\u795e\u7ecf\u7f51\u7edc - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb339\u6b21\uff0c\u70b9\u8d5e8\u6b21\uff0c\u6536\u85cf2\u6b21\u3002\u65e0\u8bba\u662f\u7ebf\u6027\u56de\u5f52\u8fd8\u662f\u903b\u8f91\u56de\u5f52\u90fd\u6709\u8fd9\u6837\u4e00\u4e2a\u7f3a\u70b9\uff0c\u5373\uff1a\u5f53\u7279\u5f81\u592a\u591a\u65f6\uff0c\u8ba1\u7b97\u7684\u8d1f\u8377\u4f1a\u975e\u5e38\u5927\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u4f8b\u5b50\uff0c\u4f7f\u7528x1x_1x1\u200bx2x_2x2\u200b\u7684\u591a\u6b21\u9879\u5f0f\u8fdb\u884c\u9884\u6d4b\u65f6\uff0c\u53ef\u4ee5\u5e94\u7528\u7684\u5f88\u597d\uff1a\u4f7f\u7528\u975e\u7ebf\u6027\u7684\u591a\u9879\u5f0f\u9879\uff0c\u80fd\u591f\u5efa\u7acb\u66f4\u597d\u7684\u5206\u7c7b\u6a21\u578b\u3002\u4f46\u662f\u5047\u8bbe\u6709\u975e\u5e38\u591a\u7684\u7279\u5f81\uff0c\u6b64\u65f6\u6784\u5efa\u4e00\u4e2a\u975e\u7ebf\u6027\u7684\u591a\u9879\u5f0f\u6a21\u578b\uff0c\u7ed3\u679c\u5c06\u662f\u6570\u91cf\u975e\u5e38\u60ca\u4eba\u7684\u7279\u5f81\u7ec4\u5408\uff0c\u5373\u4fbf\u53ea\u91c7\u7528\u4e24\u4e24\u7279\u5f81\u7684\u7ec4\u5408x1x2x1x3x1x4x2x3x2x4x99x100x1\u200bx2\u200bx1\u200bx3\u200bx1\u3002\" 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