{"id":3032,"date":"2026-01-24T20:32:56","date_gmt":"2026-01-24T20:32:56","guid":{"rendered":"https:\/\/umaax.com\/shenmeshiyouhuasuanfayiwenkandong\/"},"modified":"2026-01-24T20:32:56","modified_gmt":"2026-01-24T20:32:56","slug":"shenmeshiyouhuasuanfayiwenkandong","status":"publish","type":"post","link":"https:\/\/umaax.com\/en\/shenmeshiyouhuasuanfayiwenkandong\/","title":{"rendered":"\u4ec0\u4e48\u662f\u4f18\u5316\u7b97\u6cd5\uff1f\u4e00\u6587\u770b\u61c2"},"content":{"rendered":"<p>\u5728\u5f53\u4eca\u7684\u4eba\u5de5\u667a\u80fd\u65f6\u4ee3\uff0c\u51e0\u4e4e\u6240\u6709\u7684\u5b66\u4e60\u6a21\u578b\u3001\u51b3\u7b56\u7cfb\u7edf\u53ca\u4e1a\u52a1\u6d41\u7a0b\u90fd\u79bb\u4e0d\u5f00\u201c\u4f18\u5316\u201d\u3002\u4ece\u6700\u57fa\u7840\u7684\u7ebf\u6027\u56de\u5f52\u5230\u6700\u524d\u6cbf\u7684\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\uff0c\u4ece\u7269\u6d41\u914d\u9001\u7684\u8def\u5f84\u89c4\u5212\u5230\u91d1\u878d\u6295\u8d44\u7684\u8d44\u4ea7\u914d\u7f6e\uff0c\u80cc\u540e\u90fd\u5728\u8fdb\u884c\u4e00\u6b21\u53c8\u4e00\u6b21\u7684\u201c\u5bfb\u627e\u6700\u4f18\u89e3\u201d\u3002\u6240\u8c13\u4f18\u5316\u7b97\u6cd5\uff0c\u6307\u7684\u662f\u5728\u7ed9\u5b9a\u7ea6\u675f\u6761\u4ef6\u4e0b\uff0c\u901a\u8fc7\u7cfb\u7edf\u5316\u7684\u641c\u7d22\u4e0e\u8fed\u4ee3\uff0c\u4f7f\u76ee\u6807\u51fd\u6570\u7684\u53d6\u503c\u5c3d\u53ef\u80fd\u8fbe\u5230\u5168\u5c40\u6700\u5c0f\uff08\u6216\u6700\u5927\uff09\u7684\u6570\u5b66\u65b9\u6cd5\u3002\u4f18\u5316\u7b97\u6cd5\u662f\u4e00\u5957\u7406\u8bba\u6846\u67b6\uff0c\u4e5f\u662f\u4e00\u5957\u53ef\u76f4\u63a5\u843d\u5730\u7684\u5de5\u7a0b\u5de5\u5177\u3002\u5bf9 AI \u521d\u5b66\u8005\u800c\u8a00\uff0c\u638c\u63e1\u4f18\u5316\u7b97\u6cd5\u7684\u57fa\u672c\u6982\u5ff5\u4e0e\u5e38\u7528\u5b9e\u73b0\u65b9\u5f0f\uff0c\u76f8\u5f53\u4e8e\u62e5\u6709\u8ba9\u6a21\u578b\u201c\u5b66\u4f1a\u201d\u548c\u201c\u6539\u8fdb\u201d\u7684\u94a5\u5319\u3002<\/p>\n<p> <img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone size-full wp-image-66313\" src=\"https:\/\/ai-bot.cn\/wp-content\/uploads\/2025\/11\/T250610201365\u4e0a\u4f20\u6587\u4ef6-1-1.png\"  alt=\"\" width=\"1200\" height=\"675\" \/> <\/p>\n<h2>\u4f18\u5316\u7b97\u6cd5\u7684\u57fa\u672c\u6982\u5ff5<\/h2>\n<p>\u4f18\u5316\u95ee\u9898\u7684\u6570\u5b66\u8868\u8ff0\u901a\u5e38\u53ef\u4ee5\u5199\u6210\uff1a<\/p>\n<p> <img decoding=\"async\" class=\"aligncenter wp-image-66285\" src=\"https:\/\/ai-bot.cn\/wp-content\/uploads\/2025\/11\/\u672a\u547d\u540d14-31.png\"  alt=\"\" width=\"678\" height=\"116\" \/> <\/p>\n<p>\u5176\u4e2d\uff0c<span class=\"katex-container\" data-v-fb2cc664=\"\" data-v-8f962163=\"\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u4e3a\u76ee\u6807\u51fd\u6570\uff08\u4e5f\u53eb\u635f\u5931\u51fd\u6570\uff09\uff0c\u8861\u91cf\u4e86\u89e3 <span class=\"katex-container\" data-v-fb2cc664=\"\" data-v-8f962163=\"\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathbf\">x<\/span><\/span><\/span><\/span><\/span> \u7684\u597d\u574f\uff1b<span class=\"katex-container\" data-v-fb2cc664=\"\" data-v-8f962163=\"\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathcal\">X<\/span><\/span><\/span><\/span><\/span> \u4e3a\u89e3\u7a7a\u95f4\uff0c\u5373\u6240\u6709\u53ef\u80fd\u7684\u53d6\u503c\u96c6\u5408\uff1b<span class=\"katex-container\" data-v-fb2cc664=\"\" data-v-8f962163=\"\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathbf\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u7ea6\u675f\u6761\u4ef6\uff0c\u9650\u5236\u89e3\u5fc5\u987b\u6ee1\u8db3\u7684\u89c4\u5219\u3002<\/p>\n<p>\u5728\u673a\u5668\u5b66\u4e60\u4e2d\uff0c\u76ee\u6807\u51fd\u6570\u5f80\u5f80\u662f\u6a21\u578b\u5728\u8bad\u7ec3\u6570\u636e\u4e0a\u7684\u8bef\u5dee\u6216\u8d1f\u5bf9\u6570\u4f3c\u7136\uff0c\u7ea6\u675f\u6761\u4ef6\u53ef\u80fd\u662f\u6b63\u5219\u5316\u9879\u3001\u53c2\u6570\u8303\u56f4\u6216\u4e1a\u52a1\u89c4\u5219\u3002\u4f18\u5316\u7b97\u6cd5\u7684\u6838\u5fc3\u4efb\u52a1\uff0c\u5c31\u662f\u5728\u6ee1\u8db3\u7ea6\u675f\u7684\u524d\u63d0\u4e0b\uff0c\u6cbf\u7740\u67d0\u79cd\u641c\u7d22\u7b56\u7565\u4e0d\u65ad\u66f4\u65b0 \uff0c\u76f4\u81f3\u6ee1\u8db3\u6536\u655b\u51c6\u5219\uff08\u5982\u76ee\u6807\u51fd\u6570\u53d8\u5316\u5e45\u5ea6\u4f4e\u4e8e\u9608\u503c\u3001\u8fed\u4ee3\u6b21\u6570\u8fbe\u5230\u4e0a\u9650\u7b49\uff09\u3002<\/p>\n<blockquote>\n<p><strong>\u5173\u952e\u8981\u7d20<\/strong><\/p>\n<ul>\n<li><strong>\u641c\u7d22\u65b9\u5411<\/strong>\uff1a\u51b3\u5b9a\u6bcf\u4e00\u6b65\u8be5\u5f80\u54ea\u8d70\uff0c\u5e38\u89c1\u7684\u6709\u68af\u5ea6\u65b9\u5411\u3001\u968f\u673a\u6270\u52a8\u65b9\u5411\u7b49\u3002<\/li>\n<li><strong>\u6b65\u957f\uff08\u5b66\u4e60\u7387\uff09<\/strong>\u200d\uff1a\u63a7\u5236\u6bcf\u4e00\u6b65\u7684\u79fb\u52a8\u5e45\u5ea6\uff0c\u6b65\u957f\u8fc7\u5927\u5bb9\u6613\u201c\u8df3\u8fc7\u201d\u6700\u4f18\u70b9\uff0c\u6b65\u957f\u8fc7\u5c0f\u6536\u655b\u7f13\u6162\u3002<\/li>\n<li><strong>\u8fed\u4ee3\u7b56\u7565<\/strong>\uff1a\u5305\u62ec\u56fa\u5b9a\u6b65\u957f\u3001\u8870\u51cf\u6b65\u957f\u3001\u52a8\u91cf\u52a0\u901f\u7b49\uff0c\u7528\u6765\u63d0\u5347\u6536\u655b\u901f\u5ea6\u548c\u9c81\u68d2\u6027\u3002<\/li>\n<\/ul>\n<\/blockquote>\n<h2>\u4e3b\u6d41\u4f18\u5316\u7b97\u6cd5\u5206\u7c7b<\/h2>\n<p><strong>\u68af\u5ea6\u7c7b\u7b97\u6cd5<\/strong><\/p>\n<p>\u68af\u5ea6\u7c7b\u7b97\u6cd5\u662f\u6700\u5e38\u89c1\u3001\u6700\u76f4\u89c2\u7684\u4f18\u5316\u624b\u6bb5\u3002\u6838\u5fc3\u601d\u60f3\u662f\uff1a\u5728\u76ee\u6807\u51fd\u6570\u53ef\u5fae\u7684\u524d\u63d0\u4e0b\uff0c\u6cbf\u7740\u68af\u5ea6\u7684\u8d1f\u65b9\u5411\u524d\u8fdb\uff0c\u56e0\u4e3a\u68af\u5ea6\u6307\u5411\u51fd\u6570\u4e0a\u5347\u6700\u5feb\u7684\u65b9\u5411\uff0c\u8d1f\u68af\u5ea6\u81ea\u7136\u6307\u5411\u4e0b\u964d\u6700\u5feb\u7684\u65b9\u5411\u3002<\/p>\n<ul>\n<li><strong>\u68af\u5ea6\u4e0b\u964d\uff08GD\uff09<\/strong>\u200d\uff1a\u6700\u57fa\u7840\u7684\u5f62\u5f0f\uff0c\u66f4\u65b0\u89c4\u5219\u4e3a \u3002\u5728\u6df1\u5ea6\u5b66\u4e60\u7684\u65e9\u671f\uff0cGD \u4ecd\u662f\u4e3b\u6d41\uff0c\u7531\u4e8e\u6bcf\u4e00\u6b21\u8fed\u4ee3\u90fd\u9700\u8981\u904d\u5386\u5168\u90e8\u8bad\u7ec3\u6837\u672c\uff0c\u8ba1\u7b97\u6210\u672c\u6781\u9ad8\u3002<\/li>\n<li><strong>\u968f\u673a\u68af\u5ea6\u4e0b\u964d\uff08SGD\uff09<\/strong>\u200d\uff1a\u6bcf\u6b21\u4ec5\u4f7f\u7528\u4e00\u4e2a\u6837\u672c\u6216\u5c0f\u6279\u91cf\uff08mini\u2011batch\uff09\u6765\u4f30\u8ba1\u68af\u5ea6\uff0c\u5927\u5e45\u964d\u4f4e\u5355\u6b21\u8fed\u4ee3\u7684\u8ba1\u7b97\u91cf\uff0c\u4f7f\u5f97\u5728\u5927\u89c4\u6a21\u6570\u636e\u96c6\u4e0a\u8bad\u7ec3\u6210\u4e3a\u53ef\u80fd\u3002<\/li>\n<li><strong>\u52a8\u91cf\uff08Momentum\uff09<\/strong>\u200d \u4e0e\u00a0<strong>Nesterov \u52a0\u901f\u68af\u5ea6<\/strong>\uff1a\u5728 SGD \u7684\u57fa\u7840\u4e0a\u52a0\u5165\u5386\u53f2\u68af\u5ea6\u7684\u201c\u60ef\u6027\u201d\uff0c\u5e2e\u52a9\u7b97\u6cd5\u5728\u9661\u5ced\u7684\u5c71\u8c37\u4e2d\u52a0\u901f\u524d\u8fdb\uff0c\u907f\u514d\u5728\u72ed\u7a84\u7684\u51f9\u69fd\u91cc\u6765\u56de\u9707\u8361\u3002<\/li>\n<li><strong>\u81ea\u9002\u5e94\u5b66\u4e60\u7387\u7b97\u6cd5\uff08AdaGrad\u3001RMSProp\u3001Adam\uff09<\/strong>\u200d\uff1a\u901a\u8fc7\u5bf9\u6bcf\u4e2a\u53c2\u6570\u7684\u5386\u53f2\u68af\u5ea6\u4fe1\u606f\u8fdb\u884c\u7d2f\u8ba1\u6216\u6307\u6570\u8870\u51cf\uff0c\u52a8\u6001\u8c03\u6574\u5b66\u4e60\u7387\u3002Adam \u7ed3\u5408\u52a8\u91cf\u548c RMSProp \u7684\u4f18\u70b9\uff0c\u5df2\u6210\u4e3a\u6df1\u5ea6\u5b66\u4e60\u4e2d\u6700\u5e38\u7528\u7684\u4f18\u5316\u5668\u4e4b\u4e00\u3002<\/li>\n<\/ul>\n<p> <img decoding=\"async\" class=\"aligncenter wp-image-66286\" src=\"https:\/\/ai-bot.cn\/wp-content\/uploads\/2025\/11\/\u672a\u547d\u540d14-32.png\"  alt=\"\" width=\"678\" height=\"384\" \/> <\/p>\n<p>\u68af\u5ea6\u7c7b\u7b97\u6cd5\u7684\u4f18\u52bf\u5728\u4e8e\u5b9e\u73b0\u7b80\u5355\u3001\u6536\u655b\u901f\u5ea6\u5feb\uff08\u5c24\u5176\u662f Adam \u7b49\u81ea\u9002\u5e94\u65b9\u6cd5\uff09\uff0c\u4f46\u8981\u6c42\u76ee\u6807\u51fd\u6570\u5fc5\u987b\u662f\u8fde\u7eed\u53ef\u5fae\u7684\uff0c\u5728\u79bb\u6563\u7ec4\u5408\u4f18\u5316\u6216\u9ed1\u76d2\u51fd\u6570\u573a\u666f\u4e0b\u4e0d\u9002\u7528\u3002<\/p>\n<p><strong>\u4e8c\u9636\u4e0e\u51c6\u4e8c\u9636\u65b9\u6cd5<\/strong><\/p>\n<p>\u4e8c\u9636\u65b9\u6cd5\u5229\u7528\u76ee\u6807\u51fd\u6570\u7684 Hessian \u77e9\u9635\uff08\u5373\u4e8c\u9636\u5bfc\u6570\uff09\u83b7\u53d6\u66f4\u7cbe\u786e\u7684\u641c\u7d22\u65b9\u5411\u3002<\/p>\n<ul>\n<li><strong>\u725b\u987f\u6cd5<\/strong>\uff1a\u76f4\u63a5\u4f7f\u7528 Hessian \u7684\u9006\u77e9\u9635\u6765\u4fee\u6b63\u68af\u5ea6\u65b9\u5411\uff0c\u7406\u8bba\u4e0a\u53ef\u4ee5\u5728\u4e00\u6b21\u8fed\u4ee3\u5185\u8fbe\u5230\u4e8c\u6b21\u6536\u655b\u3002<\/li>\n<li><strong>\u62df\u725b\u987f\u6cd5\uff08BFGS\u3001L\u2011BFGS\uff09<\/strong>\u200d\uff1a\u5728\u4e0d\u663e\u5f0f\u8ba1\u7b97 Hessian \u7684\u60c5\u51b5\u4e0b\uff0c\u901a\u8fc7\u7d2f\u8ba1\u68af\u5ea6\u53d8\u5316\u8fd1\u4f3c Hessian\uff0c\u517c\u987e\u4e8c\u9636\u4fe1\u606f\u7684\u4f18\u52bf\u548c\u8ba1\u7b97\u6210\u672c\u7684\u53ef\u63a5\u53d7\u6027\u3002<\/li>\n<\/ul>\n<p>\u4e8c\u9636\u65b9\u6cd5\u5728\u53c2\u6570\u7ef4\u5ea6\u4e0d\u592a\u9ad8\u3001\u76ee\u6807\u51fd\u6570\u5149\u6ed1\u7684\u60c5\u51b5\u4e0b\u8868\u73b0\u51fa\u8272\uff0c\u5728\u6df1\u5ea6\u5b66\u4e60\u4e2d\uff0c\u7531\u4e8e\u6a21\u578b\u53c2\u6570\u5f80\u5f80\u4e0a\u767e\u4e07\u751a\u81f3\u4e0a\u4ebf\uff0c\u8ba1\u7b97 Hessian \u53ca\u5176\u9006\u77e9\u9635\u7684\u4ee3\u4ef7\u96be\u4ee5\u627f\u53d7\uff0c\u6545\u4e8c\u9636\u65b9\u6cd5\u66f4\u591a\u7528\u4e8e\u5c0f\u6a21\u578b\u7684\u7cbe\u7ec6\u8c03\u4f18\u6216\u7279\u5f81\u9009\u62e9\u3002<\/p>\n<p><strong>\u00a0\u5143\u542f\u53d1\u5f0f\uff08\u8fdb\u5316\uff09\u7b97\u6cd5<\/strong><\/p>\n<p>\u5f53\u76ee\u6807\u51fd\u6570\u4e0d\u53ef\u5bfc\u3001\u5b58\u5728\u79bb\u6563\u53d8\u91cf\u6216\u5168\u5c40\u6700\u4f18\u70b9\u5206\u5e03\u6781\u5176\u590d\u6742\u65f6\uff0c\u4f20\u7edf\u68af\u5ea6\u7c7b\u65b9\u6cd5\u5f80\u5f80\u5931\u6548\u3002\u6b64\u65f6\uff0c\u5143\u542f\u53d1\u5f0f\u7b97\u6cd5\u901a\u8fc7\u6a21\u62df\u81ea\u7136\u6216\u7269\u7406\u8fc7\u7a0b\u7684\u968f\u673a\u641c\u7d22\u673a\u5236\uff0c\u80fd\u5728\u5927\u8303\u56f4\u7684\u89e3\u7a7a\u95f4\u4e2d\u8fdb\u884c\u5168\u5c40\u63a2\u7d22\u3002<\/p>\n<table>\n<thead>\n<tr>\n<th>\u7b97\u6cd5<\/th>\n<th>\u53d7\u81ea\u7136\/\u7269\u7406\u73b0\u8c61\u542f\u53d1<\/th>\n<th>\u57fa\u672c\u6d41\u7a0b<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u9057\u4f20\u7b97\u6cd5\uff08GA\uff09<\/strong>\u200d<\/td>\n<td>\u751f\u7269\u8fdb\u5316\uff08\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02\uff09<\/td>\n<td>\u521d\u59cb\u5316\u79cd\u7fa4 \u2192 \u8ba1\u7b97\u9002\u5e94\u5ea6 \u2192 \u9009\u62e9 \u2192 \u4ea4\u53c9 \u2192 \u53d8\u5f02 \u2192 \u8fed\u4ee3<\/td>\n<\/tr>\n<tr>\n<td><strong>\u7c92\u5b50\u7fa4\u4f18\u5316\uff08PSO\uff09<\/strong>\u200d<\/td>\n<td>\u9e1f\u7fa4\u89c5\u98df<\/td>\n<td>\u521d\u59cb\u5316\u7c92\u5b50 \u2192 \u66f4\u65b0\u901f\u5ea6\/\u4f4d\u7f6e \u2192 \u8bb0\u5f55\u4e2a\u4f53\/\u5168\u5c40\u6700\u4f18 \u2192 \u8fed\u4ee3<\/td>\n<\/tr>\n<tr>\n<td><strong>\u6a21\u62df\u9000\u706b\uff08SA\uff09<\/strong>\u200d<\/td>\n<td>\u91d1\u5c5e\u9000\u706b\u7684\u964d\u6e29\u8fc7\u7a0b<\/td>\n<td>\u968f\u673a\u6270\u52a8 \u2192 \u6309\u6e29\u5ea6\u63a5\u53d7\u52a3\u89e3 \u2192 \u964d\u6e29 \u2192 \u8fed\u4ee3<\/td>\n<\/tr>\n<tr>\n<td><strong>\u8681\u7fa4\u7b97\u6cd5\uff08ACO\uff09<\/strong>\u200d<\/td>\n<td>\u8682\u8681\u89c5\u98df\u7559\u4e0b\u4fe1\u606f\u7d20<\/td>\n<td>\u6784\u9020\u89e3 \u2192 \u4fe1\u606f\u7d20\u66f4\u65b0 \u2192 \u8fed\u4ee3<\/td>\n<\/tr>\n<tr>\n<td><strong>\u5dee\u5206\u8fdb\u5316\uff08DE\uff09<\/strong>\u200d<\/td>\n<td>\u5411\u91cf\u5dee\u5206\u4ea7\u751f\u65b0\u5019\u9009\u89e3<\/td>\n<td>\u53d8\u5f02 \u2192 \u4ea4\u53c9 \u2192 \u9009\u62e9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-66288\" src=\"https:\/\/ai-bot.cn\/wp-content\/uploads\/2025\/11\/\u672a\u547d\u540d14-33.png\"  alt=\"\" width=\"678\" height=\"384\" \/> <\/p>\n<p>\u8fd9\u4e9b\u7b97\u6cd5\u7684\u5171\u540c\u7279\u70b9\u662f\u4e0d\u4f9d\u8d56\u68af\u5ea6\u4fe1\u606f\uff0c\u56e0\u6b64\u80fd\u5904\u7406\u79bb\u6563\u3001\u975e\u5149\u6ed1\u751a\u81f3\u566a\u58f0\u8f83\u5927\u7684\u76ee\u6807\u51fd\u6570\uff0c\u7f3a\u70b9\u662f\u6536\u655b\u901f\u5ea6\u76f8\u5bf9\u6162\uff0c\u4e14\u9700\u8981\u8c03\u8282\u7684\u8d85\u53c2\u6570\uff08\u79cd\u7fa4\u89c4\u6a21\u3001\u53d8\u5f02\u6982\u7387\u3001\u6e29\u5ea6\u8870\u51cf\u7387\u7b49\uff09\u8f83\u591a\u3002<\/p>\n<p><strong>\u5176\u4ed6\u5e38\u7528\u65b9\u6cd5<\/strong><\/p>\n<ul>\n<li><strong>\u5171\u8f6d\u68af\u5ea6\uff08Conjugate Gradient\uff09<\/strong>\u200d\uff1a\u9002\u7528\u4e8e\u5927\u89c4\u6a21\u7ebf\u6027\u7cfb\u7edf\u7684\u6c42\u89e3\uff0c\u5e38\u5728\u4e8c\u6b21\u4f18\u5316\u95ee\u9898\u4e2d\u4f7f\u7528\u3002<\/li>\n<li><strong>\u8d1d\u53f6\u65af\u4f18\u5316\uff08Bayesian Optimization\uff09<\/strong>\u200d\uff1a\u901a\u8fc7\u6784\u5efa\u76ee\u6807\u51fd\u6570\u7684\u6982\u7387\u6a21\u578b\uff08\u5982\u9ad8\u65af\u8fc7\u7a0b\uff09\uff0c\u5728\u6bcf\u4e00\u6b65\u9009\u62e9\u6700\u6709\u53ef\u80fd\u63d0\u5347\u7684\u91c7\u6837\u70b9\uff0c\u7279\u522b\u9002\u5408\u9ed1\u76d2\u51fd\u6570\u7684\u5168\u5c40\u641c\u7d22\uff0c\u5982\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u7684\u8d85\u53c2\u6570\u8c03\u4f18\u3002<\/li>\n<li><strong>\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u7b56\u7565\u68af\u5ea6<\/strong>\uff1a\u628a\u7b56\u7565\u7684\u53c2\u6570\u89c6\u4e3a\u5f85\u4f18\u5316\u7684\u53d8\u91cf\uff0c\u5229\u7528\u68af\u5ea6\u4e0a\u5347\uff08\u6216\u4e0b\u964d\uff09\u63d0\u5347\u7d2f\u8ba1\u5956\u52b1\u3002<\/li>\n<\/ul>\n<h2>\u4f18\u5316\u7b97\u6cd5\u5728 AI \u9886\u57df\u7684\u5178\u578b\u5e94\u7528<\/h2>\n<p><strong>\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u8bad\u7ec3<\/strong><\/p>\n<p>\u5728\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\uff08CNN\uff09\u3001\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08RNN\uff09\u53ca\u6700\u8fd1\u7684 Transformer \u6a21\u578b\u4e2d\uff0c\u8bad\u7ec3\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u4e2a\u5de8\u5927\u7684\u6700\u5c0f\u5316\u4ea4\u53c9\u71b5\u635f\u5931\u7684\u4f18\u5316\u95ee\u9898\u3002\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u7814\u7a76\u8005\u4f1a\u76f4\u63a5\u4f7f\u7528Adam\u6216SGD+Momentum\u8fdb\u884c\u53c2\u6570\u66f4\u65b0\u3002<\/p>\n<ul>\n<li><strong>Adam \u7684\u4f18\u52bf<\/strong>\uff1a\u81ea\u9002\u5e94\u5b66\u4e60\u7387\u4f7f\u5f97\u4e0d\u540c\u5c42\u7684\u53c2\u6570\u80fd\u4ee5\u5408\u9002\u7684\u6b65\u5e45\u524d\u8fdb\uff0c\u5c24\u5176\u5728\u6a21\u578b\u7ed3\u6784\u4e0d\u5e73\u8861\uff08\u5982\u6d45\u5c42\u68af\u5ea6\u8f83\u5927\u3001\u6df1\u5c42\u68af\u5ea6\u8f83\u5c0f\uff09\u65f6\u8868\u73b0\u66f4\u7a33\u5065\u3002<\/li>\n<li><strong>SGD+Momentum \u7684\u4f18\u52bf<\/strong>\uff1a\u5728\u5927\u89c4\u6a21\u6570\u636e\u4e0a\u80fd\u591f\u4fdd\u6301\u66f4\u597d\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u5c24\u5176\u914d\u5408\u5b66\u4e60\u7387\u4f59\u5f26\u9000\u706b\uff08Cosine Annealing\uff09\u540e\uff0c\u6a21\u578b\u5f80\u5f80\u80fd\u53d6\u5f97\u66f4\u4f4e\u7684\u9a8c\u8bc1\u8bef\u5dee\u3002<\/li>\n<\/ul>\n<blockquote>\n<p><strong>\u6848\u4f8b<\/strong>\uff1a\u5728 ImageNet \u4e0a\u4f7f\u7528 ResNet\u201150 \u8fdb\u884c\u56fe\u50cf\u5206\u7c7b\uff0c\u91c7\u7528 Adam\uff08\u5b66\u4e60\u7387 1e\u20113\uff09\u8bad\u7ec3 10 \u4e2a epoch\uff0cTop\u20111 \u7cbe\u5ea6\u4ece 68% \u63d0\u5347\u81f3 76%\uff1b\u82e5\u6539\u7528 SGD+Momentum\uff08\u5b66\u4e60\u7387 0.1\uff0c\u52a8\u91cf 0.9\uff09\uff0c\u5728 90 \u4e2a epoch \u540e\u7cbe\u5ea6\u53ef\u8fdb\u4e00\u6b65\u63d0\u5347\u81f3 78%\uff0c\u4f46\u8bad\u7ec3\u65f6\u95f4\u663e\u8457\u589e\u52a0\u3002<\/p>\n<\/blockquote>\n<p><strong>\u8d85\u53c2\u6570\u81ea\u52a8\u8c03\u4f18<\/strong><\/p>\n<p>\u6a21\u578b\u7684\u5b66\u4e60\u7387\u3001\u6b63\u5219\u5316\u7cfb\u6570\u3001\u7f51\u7edc\u6df1\u5ea6\u7b49\u8d85\u53c2\u6570\u5bf9\u6700\u7ec8\u6027\u80fd\u5f71\u54cd\u5de8\u5927\u3002\u4f20\u7edf\u505a\u6cd5\u662f\u4eba\u5de5\u7f51\u683c\u641c\u7d22\u6216\u968f\u673a\u641c\u7d22\uff0c\u6548\u7387\u4f4e\u4e0b\u3002<\/p>\n<ul>\n<li><strong>\u8d1d\u53f6\u65af\u4f18\u5316<\/strong>\uff1a\u901a\u8fc7\u6784\u5efa\u76ee\u6807\u51fd\u6570\u7684\u540e\u9a8c\u5206\u5e03\uff0c\u5728\u6bcf\u4e00\u6b65\u9009\u62e9\u6700\u6709\u6f5c\u529b\u7684\u8d85\u53c2\u6570\u7ec4\u5408\u8fdb\u884c\u5b9e\u9a8c\uff0c\u663e\u8457\u964d\u4f4e\u5b9e\u9a8c\u6b21\u6570\u3002<\/li>\n<li><strong>\u9057\u4f20\u7b97\u6cd5<\/strong>\uff1a\u5c06\u6bcf\u4e00\u7ec4\u8d85\u53c2\u6570\u7f16\u7801\u4e3a\u67d3\u8272\u4f53\uff0c\u7ecf\u8fc7\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02\u540e\u4ea7\u751f\u65b0\u4e00\u4ee3\uff0c\u80fd\u5728\u79bb\u6563\u641c\u7d22\u7a7a\u95f4\uff08\u5982\u5c42\u6570\u3001\u6fc0\u6d3b\u51fd\u6570\u7c7b\u578b\uff09\u4e2d\u5feb\u901f\u6536\u655b\u3002<\/li>\n<\/ul>\n<p><strong>\u7ec4\u5408\u4f18\u5316\u4e0e\u4e1a\u52a1\u51b3\u7b56<\/strong><\/p>\n<p>\u5728\u7269\u6d41\u3001\u5236\u9020\u3001\u91d1\u878d\u7b49\u884c\u4e1a\uff0c\u5e38\u89c1\u7684\u8def\u5f84\u89c4\u5212\u3001\u751f\u4ea7\u6392\u7a0b\u3001\u8d44\u4ea7\u914d\u7f6e\u7b49\u95ee\u9898\u672c\u8d28\u4e0a\u662f\u79bb\u6563\u7ec4\u5408\u4f18\u5316\u3002<\/p>\n<ul>\n<li><strong>\u6a21\u62df\u9000\u706b<\/strong>\uff1a\u5728\u65c5\u884c\u5546\u95ee\u9898\uff08TSP\uff09\u4e2d\uff0c\u901a\u8fc7\u9010\u6b65\u964d\u4f4e\u6e29\u5ea6\u63a5\u53d7\u52a3\u89e3\uff0c\u80fd\u591f\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\uff0c\u5f97\u5230\u63a5\u8fd1\u5168\u5c40\u6700\u4f18\u7684\u8def\u7ebf\u3002<\/li>\n<li><strong>\u8681\u7fa4\u7b97\u6cd5<\/strong>\uff1a\u5728\u8f66\u8f86\u8def\u5f84\u95ee\u9898\uff08VRP\uff09\u4e2d\uff0c\u4fe1\u606f\u7d20\u7684\u6b63\u53cd\u9988\u673a\u5236\u5e2e\u52a9\u591a\u8f86\u8f66\u534f\u540c\u5b8c\u6210\u914d\u9001\u4efb\u52a1\uff0c\u663e\u8457\u964d\u4f4e\u603b\u884c\u9a76\u91cc\u7a0b\u3002<\/li>\n<li><strong>\u7c92\u5b50\u7fa4\u4f18\u5316<\/strong>\uff1a\u5728\u91d1\u878d\u6295\u8d44\u7ec4\u5408\u7684\u98ce\u9669-\u6536\u76ca\u6743\u8861\u4e2d\uff0c\u5229\u7528\u7c92\u5b50\u7fa4\u7684\u5168\u5c40\u641c\u7d22\u80fd\u529b\u5feb\u901f\u5b9a\u4f4d\u98ce\u9669\u53ef\u63a7\u4e14\u6536\u76ca\u8f83\u9ad8\u7684\u8d44\u4ea7\u914d\u7f6e\u65b9\u6848\u3002<\/li>\n<\/ul>\n<p><strong>\u6a21\u578b\u538b\u7f29\u4e0e\u91cf\u5316<\/strong><\/p>\n<p>\u5728\u79fb\u52a8\u7aef\u6216\u5d4c\u5165\u5f0f\u8bbe\u5907\u4e0a\u90e8\u7f72\u6a21\u578b\uff0c\u9700\u8981\u5728\u4fdd\u6301\u7cbe\u5ea6\u7684\u524d\u63d0\u4e0b\u964d\u4f4e\u6a21\u578b\u4f53\u79ef\u3002<\/p>\n<ul>\n<li><strong>\u68af\u5ea6\u4e0b\u964d + \u62c9\u683c\u6717\u65e5\u4e58\u5b50<\/strong>\uff1a\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u52a0\u5165\u7a00\u758f\u7ea6\u675f\uff0c\u4f7f\u6743\u91cd\u77e9\u9635\u9010\u6e10\u7a00\u758f\u5316\uff0c\u6700\u7ec8\u901a\u8fc7\u526a\u679d\uff08pruning\uff09\u5b9e\u73b0\u6a21\u578b\u538b\u7f29\u3002<\/li>\n<li><strong>\u4e8c\u9636\u4fe1\u606f<\/strong>\uff1a\u5229\u7528 Hessian \u7684\u5bf9\u89d2\u7ebf\u8fd1\u4f3c\u8bc4\u4f30\u6bcf\u4e2a\u53c2\u6570\u5bf9\u635f\u5931\u7684\u654f\u611f\u5ea6\uff0c\u4f18\u5148\u4fdd\u7559\u91cd\u8981\u53c2\u6570\uff0c\u820d\u5f03\u4e0d\u91cd\u8981\u7684\u6743\u91cd\uff0c\u5b9e\u73b0\u9ad8\u6548\u91cf\u5316\u3002<\/li>\n<\/ul>\n<h2>\u5b9e\u8df5\u6307\u5357\uff1a\u5982\u4f55\u9009\u578b\u4e0e\u8c03\u53c2<\/h2>\n<p><strong>\u9009\u578b\u6d41\u7a0b\uff08\u5206\u5c42\u51b3\u7b56\uff09<\/strong><\/p>\n<ul>\n<li><strong>\u5224\u65ad\u53ef\u5fae\u6027<\/strong>\n<ul>\n<li>\u53ef\u5fae \u2192 \u9996\u9009\u68af\u5ea6\u7c7b\uff08SGD\u3001Adam\uff09\u3002<\/li>\n<li>\u4e0d\u53ef\u5fae\u6216\u79bb\u6563 \u2192 \u91c7\u7528\u5143\u542f\u53d1\u5f0f\uff08GA\u3001PSO\u3001SA\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<li><strong>\u8bc4\u4f30\u89c4\u6a21\u4e0e\u8d44\u6e90<\/strong>\n<ul>\n<li>\u53c2\u6570 \u2264\u202f10\u2074 \u2192 \u53ef\u8003\u8651\u4e8c\u9636\u6216\u51c6\u4e8c\u9636\uff08BFGS\u3001L\u2011BFGS\uff09\u3002<\/li>\n<li>\u53c2\u6570 \u2265\u202f10\u2076 \u2192 \u5fc5\u987b\u4f7f\u7528\u4e00\u9636\u6216\u81ea\u9002\u5e94\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n<\/li>\n<li><strong>\u7ea6\u675f\u590d\u6742\u5ea6<\/strong>\n<ul>\n<li>\u7ebf\u6027\u7ea6\u675f \u2192 \u6295\u5f71\u68af\u5ea6\u6216\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u3002<\/li>\n<li>\u975e\u7ebf\u6027\/\u6df7\u5408\u7ea6\u675f \u2192 \u91c7\u7528\u4ea4\u53c9\u71b5\u6cd5\u6216\u6df7\u5408\u8fdb\u5316\u2011\u68af\u5ea6\u6846\u67b6\u3002<\/li>\n<\/ul>\n<\/li>\n<li><strong>\u76ee\u6807\u51fd\u6570\u7279\u6027<\/strong>\n<ul>\n<li>\u566a\u58f0\u5927\u3001\u9ed1\u76d2 \u2192 \u8d1d\u53f6\u65af\u4f18\u5316\u6216\u6a21\u62df\u9000\u706b\u3002<\/li>\n<li>\u591a\u76ee\u6807 \u2192 \u4f7f\u7528\u52a0\u6743\u6c42\u548c\u6216\u5e15\u7d2f\u6258\u524d\u6cbf\uff08NSGA\u2011II\uff09\u7b49\u591a\u76ee\u6807\u8fdb\u5316\u7b97\u6cd5\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u8d85\u53c2\u6570\u8c03\u8282\u8981\u70b9<\/strong><\/p>\n<table>\n<thead>\n<tr>\n<th>\u8d85\u53c2\u6570<\/th>\n<th>\u5e38\u89c1\u53d6\u503c\u8303\u56f4<\/th>\n<th>\u8c03\u8282\u5efa\u8bae<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u5b66\u4e60\u7387\uff08LR\uff09<\/td>\n<td>1e\u20112 ~ 1e\u20115<\/td>\n<td>\u5148\u5927\u540e\u5c0f\uff1b\u5bf9 Adam \u5efa\u8bae 1e\u20113 \u8d77\u70b9\uff1b\u4f7f\u7528 warm\u2011up + \u4f59\u5f26\u9000\u706b<\/td>\n<\/tr>\n<tr>\n<td>\u6279\u5927\u5c0f\uff08Batch\uff09<\/td>\n<td>16 ~ 512<\/td>\n<td>\u5927\u6279\u6b21\u63d0\u5347\u5e76\u884c\u5ea6\uff0c\u5c0f\u6279\u6b21\u589e\u52a0\u566a\u58f0\u6709\u52a9\u8df3\u51fa\u5c40\u90e8\u6700\u4f18<\/td>\n<\/tr>\n<tr>\n<td>\u52a8\u91cf\u7cfb\u6570<\/td>\n<td>0.9 ~ 0.99<\/td>\n<td>\u5bf9 SGD \u5fc5\u8bbe\uff1bAdam \u5df2\u5185\u7f6e<\/td>\n<\/tr>\n<tr>\n<td>\u79cd\u7fa4\u89c4\u6a21\uff08GA\/PSO\uff09<\/td>\n<td>30 ~ 200<\/td>\n<td>\u89c4\u6a21\u8d8a\u5927\u641c\u7d22\u8d8a\u5168\u9762\uff0c\u4f46\u8ba1\u7b97\u6210\u672c\u968f\u4e4b\u4e0a\u5347<\/td>\n<\/tr>\n<tr>\n<td>\u53d8\u5f02\u7387\uff08GA\uff09<\/td>\n<td>0.01 ~ 0.1<\/td>\n<td>\u9002\u5ea6\u53d8\u5f02\u9632\u6b62\u65e9\u719f\u6536\u655b\uff0c\u53ef\u968f\u8fed\u4ee3\u9010\u6b65\u964d\u4f4e<\/td>\n<\/tr>\n<tr>\n<td>\u521d\u59cb\u6e29\u5ea6\uff08SA\uff09<\/td>\n<td>\u76ee\u6807\u51fd\u6570\u5e45\u5ea6\u7684 10%~20%<\/td>\n<td>\u6e29\u5ea6\u8fc7\u4f4e\u5bfc\u81f4\u5c40\u90e8\u641c\u7d22\uff0c\u8fc7\u9ad8\u5219\u6536\u655b\u6162<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u5e38\u89c1\u9677\u9631\u4e0e\u89c4\u907f\u7b56\u7565<\/strong><\/p>\n<ul>\n<li><strong>\u68af\u5ea6\u6d88\u5931\/\u7206\u70b8<\/strong>\uff1a\u5728\u6df1\u5c42\u7f51\u7edc\u4e2d\u52a0\u5165\u00a0Batch Normalization\u3001\u6b8b\u5dee\u8fde\u63a5\uff0c\u6216\u4f7f\u7528\u68af\u5ea6\u88c1\u526a\uff08\u5982\u00a0<code>torch.nn.utils.clip_grad_norm_<\/code>\uff09\u7a33\u5b9a\u68af\u5ea6\u3002<\/li>\n<li><strong>\u8fc7\u65e9\u6536\u655b<\/strong>\uff1a\u91c7\u7528\u5b66\u4e60\u7387 warm\u2011up\u3001\u566a\u58f0\u6ce8\u5165\uff08Dropout\u3001\u968f\u673a\u906e\u6321\uff09\u6216\u5207\u6362\u5230Adam\u7b49\u81ea\u9002\u5e94\u4f18\u5316\u5668\u3002<\/li>\n<li><strong>\u5143\u542f\u53d1\u5f0f\u6536\u655b\u6162<\/strong>\uff1a\u5148\u7528 GA \u4ea7\u751f\u4f18\u79c0\u7684\u521d\u89e3\uff0c\u518d\u7528\u68af\u5ea6\u4e0b\u964d\u8fdb\u884c\u5c40\u90e8\u7ec6\u5316\uff1b\u6216\u91c7\u7528\u6df7\u5408\u8fdb\u5316\u2011\u68af\u5ea6\u6846\u67b6\uff0c\u5b9e\u73b0\u5168\u5c40\u63a2\u7d22 + \u5c40\u90e8\u52a0\u901f\u3002<\/li>\n<li><strong>\u7ea6\u675f\u5904\u7406\u4e0d\u5f53<\/strong>\uff1a\u5bf9\u786c\u7ea6\u675f\u4f7f\u7528\u6295\u5f71\u7b97\u5b50\uff08\u5982\u6295\u5f71\u5230\u53ef\u884c\u57df\uff09\uff0c\u5bf9\u8f6f\u7ea6\u675f\u4f7f\u7528\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6216\u7f5a\u51fd\u6570\uff0c\u907f\u514d\u8fed\u4ee3\u8fc7\u7a0b\u4e2d\u4ea7\u751f\u4e0d\u53ef\u884c\u89e3\u3002<\/li>\n<\/ul>\n<p><strong>\u4ee3\u7801\u793a\u4f8b\uff08Python\uff09<\/strong><\/p>\n<p>\u4e0b\u9762\u662f\u4e00\u4e2a\u5178\u578b\u7684\u00a0Adam \u8bad\u7ec3\u5faa\u73af\u793a\u4f8b\uff0c\u9002\u7528\u5927\u591a\u6570\u5165\u95e8\u9879\u76ee\u3002\u4ee3\u7801\u4e2d\u52a0\u5165\u4e86\u5b66\u4e60\u7387\u8870\u51cf\u4e0e\u68af\u5ea6\u88c1\u526a\uff0c\u5e2e\u52a9\u65b0\u624b\u907f\u514d\u5e38\u89c1\u7684\u68af\u5ea6\u95ee\u9898\u3002<\/p>\n<pre class=\"language-python\" data-v-efb858b9=\"\"><code class=\"language-python\"><span class=\"token keyword\">import<\/span> torch  <span class=\"token keyword\">import<\/span> torch<span class=\"token punctuation\">.<\/span>nn <span class=\"token keyword\">as<\/span> nn  <span class=\"token keyword\">import<\/span> torch<span class=\"token punctuation\">.<\/span>optim <span class=\"token keyword\">as<\/span> optim  <span class=\"token keyword\">from<\/span> torch<span class=\"token punctuation\">.<\/span>utils<span class=\"token punctuation\">.<\/span>data <span class=\"token keyword\">import<\/span> DataLoader    <span class=\"token comment\"># \u7b80\u5355\u7684\u5168\u8fde\u63a5\u7f51\u7edc<\/span>  <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SimpleNet<\/span><span class=\"token punctuation\">(<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>      <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> input_dim<span class=\"token operator\">=<\/span><span class=\"token number\">784<\/span><span class=\"token punctuation\">,<\/span> hidden<span class=\"token operator\">=<\/span><span class=\"token number\">256<\/span><span class=\"token punctuation\">,<\/span> output<span class=\"token operator\">=<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>          <span class=\"token builtin\">super<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>__init__<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>          self<span class=\"token punctuation\">.<\/span>net <span class=\"token operator\">=<\/span> nn<span class=\"token punctuation\">.<\/span>Sequential<span class=\"token punctuation\">(<\/span>              nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span>input_dim<span class=\"token punctuation\">,<\/span> hidden<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span>              nn<span class=\"token punctuation\">.<\/span>ReLU<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span>              nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span>hidden<span class=\"token punctuation\">,<\/span> output<span class=\"token punctuation\">)<\/span>          <span class=\"token punctuation\">)<\/span>      <span class=\"token keyword\">def<\/span> <span class=\"token function\">forward<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>          <span class=\"token keyword\">return<\/span> self<span class=\"token punctuation\">.<\/span>net<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span>    model <span class=\"token operator\">=<\/span> SimpleNet<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>  criterion <span class=\"token operator\">=<\/span> nn<span class=\"token punctuation\">.<\/span>CrossEntropyLoss<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>  optimizer <span class=\"token operator\">=<\/span> optim<span class=\"token punctuation\">.<\/span>Adam<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> lr<span class=\"token operator\">=<\/span><span class=\"token number\">1e-3<\/span><span class=\"token punctuation\">)<\/span>    <span class=\"token comment\"># \u5b66\u4e60\u7387\u8c03\u5ea6\u5668\uff1a\u6bcf 10 epoch \u8870\u51cf 0.5<\/span>  scheduler <span class=\"token operator\">=<\/span> optim<span class=\"token punctuation\">.<\/span>lr_scheduler<span class=\"token punctuation\">.<\/span>StepLR<span class=\"token punctuation\">(<\/span>optimizer<span class=\"token punctuation\">,<\/span> step_size<span class=\"token operator\">=<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> gamma<span class=\"token operator\">=<\/span><span class=\"token number\">0.5<\/span><span class=\"token punctuation\">)<\/span>    <span class=\"token keyword\">for<\/span> epoch <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">30<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>      <span class=\"token keyword\">for<\/span> xb<span class=\"token punctuation\">,<\/span> yb <span class=\"token keyword\">in<\/span> DataLoader<span class=\"token punctuation\">(<\/span>train_dataset<span class=\"token punctuation\">,<\/span> batch_size<span class=\"token operator\">=<\/span><span class=\"token number\">64<\/span><span class=\"token punctuation\">,<\/span> shuffle<span class=\"token operator\">=<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>          xb <span class=\"token operator\">=<\/span> xb<span class=\"token punctuation\">.<\/span>view<span class=\"token punctuation\">(<\/span>xb<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u5c55\u5e73<\/span>          logits <span class=\"token operator\">=<\/span> model<span class=\"token punctuation\">(<\/span>xb<span class=\"token punctuation\">)<\/span>          loss <span class=\"token operator\">=<\/span> criterion<span class=\"token punctuation\">(<\/span>logits<span class=\"token punctuation\">,<\/span> yb<span class=\"token punctuation\">)<\/span>            optimizer<span class=\"token punctuation\">.<\/span>zero_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>          loss<span class=\"token punctuation\">.<\/span>backward<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u68af\u5ea6\u88c1\u526a\uff0c\u9632\u6b62\u7206\u70b8<\/span>          torch<span class=\"token punctuation\">.<\/span>nn<span class=\"token punctuation\">.<\/span>utils<span class=\"token punctuation\">.<\/span>clip_grad_norm_<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> max_norm<span class=\"token operator\">=<\/span><span class=\"token number\">5.0<\/span><span class=\"token punctuation\">)<\/span>          optimizer<span class=\"token punctuation\">.<\/span>step<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>      scheduler<span class=\"token punctuation\">.<\/span>step<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>      <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f'Epoch <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>epoch<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">02d<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> - Loss: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>loss<span class=\"token punctuation\">.<\/span>item<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.4f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">'<\/span><\/span><span class=\"token punctuation\">)<\/span><\/code><\/pre>\n<p>\u672a\u6765\u51e0\u5e74\uff0c\u6df7\u5408\u5f0f\u4f18\u5316\u6846\u67b6\uff08\u5982\u8fdb\u5316\u2011\u68af\u5ea6\u3001\u68af\u5ea6\u2011\u5f3a\u5316\u5b66\u4e60\uff09\u5c06\u6210\u4e3a\u6807\u51c6\u914d\u7f6e\uff0c\u517c\u987e\u5168\u5c40\u641c\u7d22\u4e0e\u5c40\u90e8\u52a0\u901f\uff0c\u540c\u65f6\uff0c\u53ef\u89e3\u91ca\u6027\u4e0e\u5b89\u5168\u7ea6\u675f\u7684\u5d4c\u5165\u5c06\u4f7f\u4f18\u5316\u7b97\u6cd5\u5728\u80fd\u6e90\u3001\u4ea4\u901a\u3001\u91d1\u878d\u7b49\u5173\u952e\u884c\u4e1a\u83b7\u5f97\u76d1\u7ba1\u8ba4\u53ef\u3002\u968f\u7740\u786c\u4ef6\u52a0\u901f\u5668\u5bf9\u4e8c\u9636\u4fe1\u606f\u7684\u9ad8\u6548\u652f\u6301\uff0c\u51c6\u4e8c\u9636\u65b9\u6cd5\u6709\u671b\u5728\u5927\u6a21\u578b\u8bad\u7ec3\u4e2d\u91cd\u65b0\u5d1b\u8d77\uff0c\u8d1d\u53f6\u65af\u4f18\u5316\u4e0e\u81ea\u52a8\u5316\u8d85\u53c2\u6570\u641c\u7d22\u5c06\u8fdb\u4e00\u6b65\u964d\u4f4e AI 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