{"id":67150,"date":"2026-01-28T11:48:49","date_gmt":"2026-01-28T03:48:49","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/67150.html"},"modified":"2026-01-28T11:48:49","modified_gmt":"2026-01-28T03:48:49","slug":"%e4%bb%8e0%e5%ae%9e%e7%8e%b0%e4%b8%80%e4%b8%aa%e7%ae%80%e5%8d%95%e7%9a%84%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%92%e6%a8%a1%e5%9e%8b%ef%bc%88%e7%90%86%e8%ae%ba%e7%af%87%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/67150.html","title":{"rendered":"\u4ece0\u5b9e\u73b0\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff08\u7406\u8bba\u7bc7\uff09"},"content":{"rendered":"<p>\u9996\u5148\u6211\u4eec\u5148\u8bf4\u539f\u7406 \u7b80\u5355\u6765\u8bf4\u5c31\u662f\u6211\u4eec\u9884\u5148\u77e5\u9053\u4e24\u6279\u6570\u636eX&#xff0c;Y, \u6211\u4eec\u5e76\u4e0d\u77e5\u9053X&#xff0c;Y\u4e4b\u95f4\u6709\u7740\u600e\u6837\u7684\u5173\u7cfb&#xff0c;\u53ef\u80fd\u662f\u7ebf\u6027&#xff0c;\u53ef\u80fd\u662f\u975e\u7ebf\u6027&#xff0c;\u6216\u8005\u66f4\u590d\u6742\u7684\u5173\u7cfb&#xff0c;\u6211\u4eec\u9700\u8981\u731c\u6d4b\u4e00\u4e2a\u53ef\u80fd\u7684\u5173\u7cfb\u8fdb\u884c\u5c1d\u8bd5&#xff0c;\u5c1d\u8bd5\u4e0d\u53ef\u80fd\u4e00\u4e0b\u5c31\u8bd5\u5bf9&#xff0c;\u6211\u4eec\u8981\u505a\u7684\u5c31\u662f\u5728\u5c1d\u8bd5\u7684\u8fc7\u7a0b\u4e2d\u8fdb\u884c\u4e00\u6b65\u6b65\u4f18\u5316&#xff0c;\u6700\u7ec8\u627e\u5230X&#xff0c;Y\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5176\u5b9e<span style=\"color:#fe2c24\">\u672c\u8d28\u5c31\u662f\u627e\u51fd\u6570F&#xff08;X&#xff09;&#061; Y\u00a0 \u00a0 \u00a0 \u5373\u00a0 y &#061; w\u2081x\u2081 &#043; w\u2082x\u2082 &#043; &#8230; &#043; w\u2099x\u2099 &#043; b<\/span><\/p>\n<\/p>\n<p><span style=\"color:#0d0016\">\u5982\u4e0b\u56fe&#xff0c;X&#xff0c;Y\u5b58\u5728\u7ebf\u6027\u5173\u7cfb\u00a0 \u8fd9\u91cc\u6709\u4e00\u4e2a\u5e38\u89c1\u7684\u8bef\u533a\u5c31\u662f \u6211\u4ee5\u4e3a\u662f\u6c42X&#xff0c;Y\u3002\u4f46\u5176\u5b9eX&#xff0c;Y \u662f\u5df2\u77e5\u7684\u6211\u4eec\u8981\u6c42\u7684\u662fy&#061;wx&#043;b\u4e2d\u7684\u53c2\u6570w\u548cb&#xff0c;\u800c\u975e\u6570\u636e\u3002\u5728\u7ebf\u6027\u6a21\u578b\u4e2dw\u8868\u793aweight&#xff08;\u6743\u91cd&#xff09;&#xff0c;b\u8868\u793abias(\u504f\u5dee)\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"214\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260128034844-6979871c863fb.png\" width=\"435\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"243\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260128034845-6979871d42c0b.png\" width=\"437\" \/><\/p>\n<\/p>\n<p>\u90a3\u6211\u4eec\u5982\u4f55\u627e\u5230\u8fd9\u4e2a\u6240\u8c13\u7684\u51fd\u6570\u7684\u6700\u4f18\u53c2\u6570\u5462&#xff0c;\u5177\u4f53\u505a\u6cd5\u5c31\u662f\u6211\u4eec\u5148\u7ed9\u5b9a\u4e00\u4e2a\u731c\u6d4b\u503cw,b &#xff0c;\u6839\u636e\u8fd9\u4e2a\u731c\u6d4b\u503c\u4ee3\u5165\u51fd\u6570\u6765\u6c42\u51fa\u9884\u6d4b\u503cy\u0302&#xff08;\u8fd9\u4e2a\u8fc7\u7a0b\u53eb\u505a\u524d\u5411\u4f20\u64ad&#xff09;,\u4e8e\u662f\u5f97\u51fa\u635f\u5931\u51fd\u6570<\/p>\n<p>loss &#061; 1\/n * \u03a3|\u0177\u1d62 &#8211; y\u1d62|&#xff0c;\u5b83\u7528\u6765\u5224\u65ad\u6211\u4eec\u8fd9\u4e00\u7ec4\u53c2\u6570\u53d6\u7684\u600e\u4e48\u6837&#xff0c;\u4ece\u516c\u5f0f\u4e2d\u4e5f\u53ef\u4ee5\u770b\u51fa&#xff0c;loss\u8d8a\u5c0f\u8bf4\u660e\u6211\u4eec\u7684\u53c2\u6570\u8d8a\u597d&#xff0c;<\/p>\n<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"310\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260128034846-6979871e49634.png\" width=\"536\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"289\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260128034847-6979871f5f823.png\" width=\"533\" \/><\/p>\n<p>\u53c2\u6570\u80af\u5b9a\u4e0d\u662f\u4e00\u8bd5\u5c31\u51fa\u6765\u7684&#xff0c;\u4ec5\u4ec5\u77e5\u9053&#034;\u597d\u4e0d\u597d&#034;\u4e0d\u591f&#xff0c;\u6211\u4eec\u9700\u8981\u77e5\u9053&#034;\u600e\u4e48\u6539\u8fdb&#034;\u3002\u90a3\u6211\u4eec\u5982\u4f55\u90fd\u53c2\u6570\u8fdb\u884c\u4f18\u5316\u5462&#xff0c;\u8fd9\u5c31\u5f15\u51fa\u4e86\u5927\u540d\u9f0e\u9f0e\u7684\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u3002<\/p>\n<p>\u53cd\u5411\u4f20\u64ad\u8ba1\u7b97\u635f\u5931\u51fd\u6570\u5bf9\u6bcf\u4e2a\u53c2\u6570\u7684\u68af\u5ea6&#xff08;\u5bfc\u6570&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u2202loss\/\u2202w&#xff1a;\u635f\u5931\u5bf9\u6743\u91cdw\u7684\u504f\u5bfc\u6570<\/p>\n<\/li>\n<li>\n<p>\u2202loss\/\u2202b&#xff1a;\u635f\u5931\u5bf9\u504f\u7f6eb\u7684\u504f\u5bfc\u6570<\/p>\n<\/li>\n<\/ul>\n<p>\u68af\u5ea6\u544a\u8bc9\u6211\u4eec&#xff1a;\u6bcf\u4e2a\u53c2\u6570\u5e94\u8be5\u589e\u52a0\u8fd8\u662f\u51cf\u5c11&#xff0c;\u4ee5\u53ca\u8c03\u6574\u7684\u7d27\u8feb\u7a0b\u5ea6\u3002<\/p>\n<p>\u6cbf\u7740\u8d1f\u68af\u5ea6\u65b9\u5411\u66f4\u65b0\u53c2\u6570&#xff08;\u56e0\u4e3a\u8d1f\u68af\u5ea6\u662f\u4e0b\u964d\u6700\u5feb\u7684\u65b9\u5411&#xff09;&#xff1a;<\/p>\n<p>w_new &#061; w_old &#8211; \u03b7 \u00d7 \u2202loss\/\u2202w b_new &#061; b_old &#8211; \u03b7 \u00d7 \u2202loss\/\u2202b<\/p>\n<\/p>\n<p>&#xff0c;<img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"372\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260128034848-697987202e31c.png\" width=\"562\" \/><\/p>\n<p>\u4e3e\u4e00\u4e2a\u901a\u4fd7\u7684\u4f8b\u5b50&#xff0c;\u4e00\u4e2a\u76f2\u4eba\u4e0b\u5c71&#xff0c;\u4ed6\u73b0\u5728\u7ad9\u5728\u5c71\u4e0a\u67d0\u4e00\u4e2a\u4f4d\u7f6e&#xff08;\u8fd9\u5c31\u662f\u6211\u4eec\u521d\u59cb\u7ed9\u5b9a\u7684w,b&#xff09;&#xff0c;\u4ed6\u7528\u811a\u611f\u53d7\u5761\u5ea6&#xff08;\u68af\u5ea6&#xff09;&#xff0c;\u5f80\u6700\u9661\u7684\u4e0b\u5761\u65b9\u5411\u8d70&#xff0c;\u4e00\u70b9\u4e00\u70b9\u63a2\u5230\u6700\u4f4e\u70b9\u3002\u00a0<\/p>\n<p>learning rate&#xff08;\u5b66\u4e60\u7387&#xff09;\u4ee3\u8868\u6bcf\u6b21\u53c2\u6570\u66f4\u65b0\u7684\u6b65\u957f\u5927\u5c0f\u3002<\/p>\n<p>\u5728\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\u4e2d&#xff0c;\u6211\u4eec\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u66f4\u65b0\u53c2\u6570&#xff1a; \u53c2\u6570 &#061; \u53c2\u6570 &#8211; learning_rate * \u68af\u5ea6\u00a0 \u5176\u4e2d&#xff0c;\u68af\u5ea6\u6307\u660e\u4e86\u635f\u5931\u51fd\u6570\u4e0b\u964d\u7684\u65b9\u5411&#xff0c;\u800c\u5b66\u4e60\u7387\u5219\u51b3\u5b9a\u4e86\u6211\u4eec\u6cbf\u7740\u8fd9\u4e2a\u65b9\u5411\u8d70\u591a\u8fdc\u3002<\/p>\n<p>\u5b66\u4e60\u7387\u7684\u4f5c\u7528&#xff1a;<\/p>\n<p>\u6b65\u957f\u63a7\u5236&#xff1a;\u5b66\u4e60\u7387\u51b3\u5b9a\u4e86\u6bcf\u6b21\u53c2\u6570\u66f4\u65b0\u7684\u5927\u5c0f\u3002\u8f83\u5927\u7684\u5b66\u4e60\u7387\u610f\u5473\u7740\u66f4\u5927\u7684\u6b65\u957f&#xff0c;\u53ef\u80fd\u5bfc\u81f4\u5feb\u901f\u6536\u655b&#xff0c;\u4f46\u4e5f\u53ef\u80fd\u8d8a\u8fc7\u6700\u4f18\u70b9&#xff1b;\u8f83\u5c0f\u7684\u5b66\u4e60\u7387\u610f\u5473\u7740\u66f4\u5c0f\u7684\u6b65\u957f&#xff0c;\u6536\u655b\u901f\u5ea6\u6162&#xff0c;\u4f46\u53ef\u80fd\u66f4\u7cbe\u786e\u3002<\/p>\n<p>\u6536\u655b\u6027&#xff1a;\u5b66\u4e60\u7387\u8fc7\u5927\u53ef\u80fd\u5bfc\u81f4\u65e0\u6cd5\u6536\u655b&#xff0c;\u751a\u81f3\u53d1\u6563&#xff1b;\u5b66\u4e60\u7387\u8fc7\u5c0f\u5219\u53ef\u80fd\u5bfc\u81f4\u6536\u655b\u901f\u5ea6\u8fc7\u6162&#xff0c;\u6216\u8005\u9677\u5165\u5c40\u90e8\u6700\u4f18\u70b9\u3002<\/p>\n<p>\u8bad\u7ec3\u7a33\u5b9a\u6027&#xff1a;\u5408\u9002\u7684\u5b66\u4e60\u7387\u53ef\u4ee5\u4f7f\u8bad\u7ec3\u8fc7\u7a0b\u7a33\u5b9a&#xff0c;\u635f\u5931\u51fd\u6570\u5e73\u7a33\u4e0b\u964d\u3002<\/p>\n<\/p>\n<p>&#8212;&#8212;&#8211;\u5206\u5272\u7ebf&#8212;&#8211;<\/p>\n<p><span style=\"color:#fe2c24\">\u6700\u540e\u603b\u7ed3\u4e00\u4e0b<\/span><\/p>\n<p>\u6838\u5fc3\u95ee\u9898&#xff1a;\u5f53\u6211\u4eec\u5df2\u77e5\u6570\u636eX\u548cY&#xff0c;\u4f46\u4e0d\u77e5\u9053\u5b83\u4eec\u4e4b\u95f4\u7684\u5177\u4f53\u5173\u7cfb\u65f6&#xff0c;\u5982\u4f55\u627e\u5230\u80fd\u591f\u63cf\u8ff0\u8fd9\u79cd\u5173\u7cfb\u7684\u51fd\u6570&#xff1f;<\/p>\n<p>\u5173\u952e\u8ba4\u8bc6&#xff1a;\u6211\u4eec\u4e0d\u662f\u8981\u6c42X\u548cY&#xff08;\u5b83\u4eec\u5df2\u77e5&#xff09;&#xff0c;\u800c\u662f\u8981\u6c42\u51fd\u6570\u4e2d\u7684\u53c2\u6570\u3002\u5728\u7ebf\u6027\u56de\u5f52\u4e2d&#xff0c;\u8fd9\u4e2a\u51fd\u6570\u5f62\u5f0f\u4e3a y &#061; 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