{"id":10585,"date":"2026-02-06T08:41:38","date_gmt":"2026-02-06T16:41:38","guid":{"rendered":"https:\/\/zxi.mytechroad.com\/blog\/?p=10585"},"modified":"2026-02-06T08:41:40","modified_gmt":"2026-02-06T16:41:40","slug":"learning-rate-stochastic-gradient-descent-life-optimization","status":"publish","type":"post","link":"https:\/\/zxi.mytechroad.com\/blog\/ai\/learning-rate-stochastic-gradient-descent-life-optimization\/","title":{"rendered":"Learning Rate \u542f\u793a\u5f55\uff1a\u7b97\u6cd5\u6f14\u8fdb\u4e0e\u4eba\u751f\u7684\u5168\u5c40\u6700\u4f18\u89e3"},"content":{"rendered":"\n<p>\u5728\u673a\u5668\u5b66\u4e60\u7684\u4e16\u754c\u91cc\uff0c\u6240\u6709\u7684\u8fdb\u5316\u90fd\u6307\u5411\u4e00\u4e2a\u7ec8\u6781\u76ee\u6807\uff1a\u5bfb\u627e<strong>\u635f\u5931\u51fd\u6570\uff08Loss Function\uff09<\/strong>\u7684\u5168\u5c40\u6700\u5c0f\u503c\u3002\u4eba\u7c7b\u7684\u4e00\u751f\uff0c\u82e5\u4ece\u5b8f\u89c2\u89c6\u89d2\u5ba1\u89c6\uff0c\u5176\u5b9e\u4e5f\u662f\u4e00\u5957\u590d\u6742\u7cfb\u7edf\u5728\u6d77\u91cf\u6570\u636e\u8f93\u5165\u4e0b\u7684\u52a8\u6001\u4f18\u5316\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<p>\u5728\u8fd9\u573a\u540d\u4e3a\u201c\u751f\u547d\u201d\u7684<strong>\u968f\u673a\u68af\u5ea6\u4e0b\u964d\uff08SGD\uff09\u4e2d\uff0c\u6700\u5177\u6709\u51b3\u5b9a\u6027\u7684\u8d85\u53c2\u6570\u83ab\u8fc7\u4e8e\u5b66\u4e60\u7387\uff08Learning Rate\uff0c\u7b80\u79f0 LR\uff09<\/strong>\u3002\u5b83\u4e0d\u4ec5\u51b3\u5b9a\u4e86\u8ba4\u77e5\u66f4\u65b0\u7684\u6b65\u957f\uff0c\u66f4\u5b9a\u4e49\u4e86\u4e00\u4e2a\u4eba\u5728\u4e0d\u540c\u751f\u547d\u5468\u671f\u7684\u6cdb\u5316\u80fd\u529b\u4e0e\u751f\u547d\u539a\u5ea6\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001 \u968f\u673a\u521d\u59cb\u5316\uff1a\u751f\u547d\u7684\u9759\u9ed8\u91c7\u6837\u671f<\/h2>\n\n\n\n<p>\u5728\u7b97\u6cd5\u5f00\u59cb\u8fed\u4ee3\u4e4b\u524d\uff0c\u795e\u7ecf\u7f51\u7edc\u5fc5\u987b\u7ecf\u5386\u968f\u673a\u521d\u59cb\u5316\u3002\u6b64\u65f6\uff0c\u6a21\u578b\u5bf9\u4e16\u754c\u7684\u7279\u5f81\u5206\u5e03\u4e00\u65e0\u6240\u77e5\uff0c\u6743\u91cd\u7684\u7ec6\u5fae\u8c03\u6574\u5f80\u5f80\u53d1\u751f\u5728\u6700\u5e95\u5c42\u3002<\/p>\n\n\n\n<p>\u5728\u751f\u547d\u7684\u6700\u521d\u9636\u6bb5\uff0c\u4e2a\u4f53\u7684\u5b66\u4e60\u7387\u5f80\u5f80\u88ab\u8bbe\u5b9a\u5f97\u6781\u5c0f\u3002\u8fd9\u5e76\u975e\u56e0\u4e3a\u7f3a\u4e4f\u6f5c\u529b\uff0c\u800c\u662f\u56e0\u4e3a\u7cfb\u7edf\u5904\u4e8e<strong>\u4f4e\u9636\u7279\u5f81\u63d0\u53d6\u671f<\/strong>\u3002\u5a74\u513f\u5e76\u4e0d\u5177\u5907\u903b\u8f91\u63a8\u6f14\u7684\u80fd\u529b\uff0c\u4ed6\u4eec\u901a\u8fc7\u6570\u4ee5\u4e07\u8ba1\u7684\u201c\u91c7\u6837\u201d\u6765\u6784\u5efa\u5bf9\u7269\u7406\u4e16\u754c\u7684\u57fa\u672c\u611f\u77e5\u3002\u6bcf\u4e00\u4e2a\u89e6\u89c9\u4fe1\u53f7\u3001\u6bcf\u4e00\u58f0\u8bed\u8c03\u7684\u6ce2\u52a8\uff0c\u90fd\u5728\u6781\u5176\u5fae\u5c0f\u7684 LR \u4e0b\u5bf9\u5e95\u5c42\u7684\u201c\u795e\u7ecf\u5143\u201d\u8fdb\u884c\u57fa\u7840\u914d\u7f6e\u3002<\/p>\n\n\n\n<p>\u8fd9\u4e00\u9636\u6bb5\u7684\u610f\u4e49\u5728\u4e8e\u201c\u6cdb\u5316\u57fa\u77f3\u201d\u7684\u5960\u5b9a\u3002\u5982\u679c\u6b64\u65f6\u5b66\u4e60\u7387\u8fc7\u5927\uff0c\u6a21\u578b\u5bb9\u6613\u5728\u6781\u5c11\u7684\u6837\u672c\u9762\u524d\u9677\u5165\u68af\u5ea6\u7206\u70b8\uff0c\u4ea7\u751f\u65e0\u6cd5\u4fee\u6b63\u7684\u8ba4\u77e5\u504f\u5dee\u3002\u751f\u547d\u5728\u6b64\u65f6\u5c55\u73b0\u51fa\u4e86\u4e00\u79cd\u7b97\u6cd5\u5c42\u9762\u7684\u5ba1\u614e\uff1a<strong>\u4ee5\u6781\u5176\u5fae\u5c0f\u7684\u6b65\u4f10\uff0c\u53bb\u6784\u5efa\u4e00\u4e2a\u6700\u7a33\u5b9a\u7684\u5e95\u5c42\u6a21\u578b\u3002<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001 Warm-up \u9636\u6bb5\uff1a\u8ba4\u77e5\u7684\u6307\u6570\u7ea7\u6269\u5f20<\/h2>\n\n\n\n<p>\u5f53\u57fa\u7840\u5c42\u6784\u5efa\u5b8c\u6bd5\uff0c\u7cfb\u7edf\u8fdb\u5165\u4e86\u6559\u80b2\u7cfb\u7edf\u4ecb\u5165\u7684\u201c\u9884\u70ed\u671f\u201d\uff08Warm-up\uff09\u3002\u6b64\u65f6\uff0c\u5b66\u4e60\u7387\u5f00\u59cb\u5448\u6307\u6570\u7ea7\u62c9\u5347\u3002<\/p>\n\n\n\n<p>\u8fd9\u662f\u4eba\u751f\u4e2d\u5b66\u4e60\u7387\u6700\u9ad8\u7684\u9636\u6bb5\u3002\u5728\u8fd9\u4e00\u65f6\u671f\uff0c\u4e2a\u4f53\u7684\u8ba4\u77e5\u6743\u91cd\u5c1a\u672a\u5b9a\u578b\uff0c\u5bf9\u65b0\u4fe1\u606f\u7684\u654f\u611f\u5ea6\u8fbe\u5230\u4e86\u5dc5\u5cf0\u3002\u8fd9\u79cd\u8bbe\u5b9a\u5177\u6709\u6781\u5f3a\u7684\u6f14\u5316\u610f\u4e49\uff1a\u4e3a\u4e86\u5728\u6700\u77ed\u7684\u65f6\u95f4\u5185\u8de8\u8d8a\u8ba4\u77e5\u7684\u8352\u539f\uff0c\u7cfb\u7edf\u5fc5\u987b\u5141\u8bb8\u5267\u70c8\u7684\u53c2\u6570\u6ce2\u52a8\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9ad8\u9891\u9707\u8361\uff1a<\/strong> \u56e0\u4e3a\u5b66\u4e60\u7387\u6781\u9ad8\uff0c\u4e2a\u4f53\u5bf9\u4e16\u754c\u7684\u7406\u89e3\u5f80\u5f80\u5728\u4e00\u5929\u4e4b\u5185\u53d1\u751f\u7ffb\u5929\u8986\u5730\u7684\u53d8\u5316\u3002\u4eca\u5929\u5efa\u7acb\u7684\u4ef7\u503c\u89c2\uff0c\u53ef\u80fd\u5728\u660e\u5929\u7684\u65b0\u77e5\u9762\u524d\u88ab\u5168\u76d8\u63a8\u5012\u3002<\/li>\n\n\n\n<li><strong>\u8de8\u8d8a\u5c4f\u969c\uff1a<\/strong> \u8fd9\u79cd\u9ad8\u5b66\u4e60\u7387\u8ba9\u4e2a\u4f53\u80fd\u591f\u8f7b\u6613\u8df3\u51fa\u521d\u59cb\u72b6\u6001\u7684\u5404\u79cd\u9650\u5236\uff0c\u53bb\u63a2\u7d22\u6587\u5b66\u3001\u827a\u672f\u3001\u6570\u7406\u7b49\u622a\u7136\u4e0d\u540c\u7684\u53c2\u6570\u7a7a\u95f4\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6b63\u5982\u8bad\u7ec3\u5927\u578b\u8bed\u8a00\u6a21\u578b\u65f6\u9700\u8981 Warm-up \u6765\u907f\u514d\u6a21\u578b\u8fc7\u65e9\u9677\u5165\u5c40\u90e8\u6b7b\u89d2\uff0c\u9752\u5c11\u5e74\u7684\u9ad8\u5b66\u4e60\u7387\u662f\u751f\u547d\u4e3a\u4e86\u83b7\u53d6\u201c\u5e7f\u5ea6\u201d\u800c\u8fdb\u884c\u7684\u5fc5\u7136\u6295\u5165\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001 Fine-tuning \u9677\u9631\uff1a\u6210\u5e74\u540e\u7684\u5b66\u4e60\u7387\u8870\u51cf<\/h2>\n\n\n\n<p>\u8fdb\u5165\u804c\u4e1a\u5316\u9636\u6bb5\u540e\uff0c\u5927\u591a\u6570\u4e2a\u4f53\u7684\u5b66\u4e60\u7387\u4f1a\u9075\u5faa<strong>\u5b66\u4e60\u7387\u8870\u51cf\uff08Learning Rate Decay\uff09<\/strong>\u7684\u7b56\u7565\u3002\u8fd9\u5728\u5de5\u7a0b\u5b66\u4e0a\u901a\u5e38\u662f\u4e3a\u4e86\u201c\u6536\u655b\u201d\uff1a\u5f53\u4e00\u4e2a\u4eba\u5df2\u7ecf\u5728\u67d0\u4e2a\u9886\u57df\uff08\u65e0\u8bba\u662f\u6280\u672f\u3001\u7ba1\u7406\u8fd8\u662f\u751f\u6d3b\u65b9\u5f0f\uff09\u627e\u5230\u4e86\u4e00\u4e2a\u770b\u8d77\u6765\u4e0d\u9519\u7684\u201c\u4e0b\u964d\u68af\u5ea6\u201d\uff0c\u51cf\u5c0f\u6b65\u957f\u53ef\u4ee5\u786e\u4fdd\u6a21\u578b\u66f4\u52a0\u7a33\u5065\u3002<\/p>\n\n\n\n<p>\u4e8e\u662f\uff0c\u4e2a\u4f53\u5f00\u59cb\u53d8\u5f97\u4e13\u4e1a\u3001\u7cbe\u51c6\uff0c\u540c\u65f6\u4e5f\u53d8\u5f97\u4fdd\u5b88\u3002<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\u5f3a\u5148\u9a8c\uff08Strong Prior\uff09\uff1a<\/strong> \u968f\u7740\u7ecf\u9a8c\u7684\u79ef\u7d2f\uff0c\u4e2a\u4f53\u5efa\u7acb\u4e86\u4e00\u5957\u6781\u5176\u539a\u91cd\u7684\u5148\u9a8c\u6a21\u578b\u3002\u9762\u5bf9\u65b0\u6837\u672c\uff0c\u7cfb\u7edf\u4f1a\u4f18\u5148\u4f7f\u7528\u65e7\u6709\u7684\u6743\u91cd\u53bb\u8fc7\u6ee4\uff0c\u800c\u975e\u66f4\u65b0\u53c2\u6570\u3002<\/li>\n\n\n\n<li><strong>\u6536\u655b\u7684\u5e7b\u8c61\uff1a<\/strong> \u6781\u5c0f\u7684\u5b66\u4e60\u7387\u5e26\u6765\u4e86\u4e00\u79cd\u540d\u4e3a\u201c\u7a33\u5b9a\u201d\u7684\u9519\u89c9\u3002\u4e2a\u4f53\u7684\u751f\u6d3b\u6a21\u578b\u5728\u5df2\u6709\u7684\u6570\u636e\u5206\u5e03\u4e0a\u8868\u73b0\u5f97\u8fd1\u4e4e\u5b8c\u7f8e\uff0c\u9884\u6d4b\u7cbe\u5ea6\u6781\u9ad8\uff0c\u4f46\u8fd9\u672c\u8d28\u4e0a\u662f\u4e00\u79cd<strong>\u8fc7\u62df\u5408\uff08Overfitting\uff09<\/strong>\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u5f53\u4e00\u4e2a\u4eba\u4e0d\u518d\u613f\u610f\u5c1d\u8bd5\u65b0\u7684\u903b\u8f91\u3001\u4e0d\u518d\u63a5\u53d7\u53cd\u76f4\u89c9\u7684\u77e5\u8bc6\u65f6\uff0c\u5176\u5b66\u4e60\u7387\u5df2\u7136\u8d8b\u8fd1\u4e8e\u96f6\u3002\u8fd9\u79cd\u72b6\u6001\u5728\u7b97\u6cd5\u4e0a\u88ab\u79f0\u4e3a\u201c\u505c\u6b62\u8fed\u4ee3\u201d\u3002\u6b64\u65f6\uff0c\u6a21\u578b\u867d\u7136\u5728\u5df2\u6709\u73af\u5883\u91cc\u8868\u73b0\u7a33\u5065\uff0c\u4f46\u4e00\u65e6\u6d4b\u8bd5\u96c6\uff08\u73af\u5883\uff09\u53d1\u751f\u7a81\u53d8\uff0c\u5176\u6cdb\u5316\u80fd\u529b\u5c06\u77ac\u95f4\u5f52\u96f6\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001 \u5c40\u90e8\u6700\u4f18\u89e3\u4e0e\u978d\u70b9\uff1a\u8ba4\u77e5\u505c\u6ede\u7684\u4ee3\u4ef7<\/h2>\n\n\n\n<p>\u6700\u5371\u9669\u7684\u72b6\u6001\u5e76\u975e Loss\uff08\u635f\u5931\uff09\u5f88\u9ad8\uff0c\u800c\u662f Loss \u4e0d\u518d\u4e0b\u964d\u3002<\/p>\n\n\n\n<p>\u5f53\u4e2a\u4f53\u9677\u5165\u751f\u6d3b\u7684<strong>\u5c40\u90e8\u6700\u4f18\u89e3\uff08Local Minimum\uff09\u6216\u5e73\u5766\u7684\u978d\u70b9\uff08Saddle Point\uff09<\/strong>\u65f6\uff0c\u5982\u679c\u5b66\u4e60\u7387\u8bbe\u7f6e\u8fc7\u5c0f\uff0c\u68af\u5ea6\u4e0b\u964d\u7684\u52a8\u529b\u5c06\u4e0d\u8db3\u4ee5\u514b\u670d\u90a3\u4e9b\u7ec6\u5fae\u7684\u963b\u529b\u3002\u8868\u73b0\u4e3a\u751f\u6d3b\u9677\u5165\u4e86\u67d0\u79cd\u60ef\u6027\u7684\u5faa\u73af\uff1a\u540c\u6837\u7684\u601d\u7ef4\u6a21\u5f0f\u3001\u540c\u6837\u7684\u793e\u4ea4\u5708\u5c42\u3001\u540c\u6837\u7684\u89e3\u51b3\u95ee\u9898\u7684\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u5b66\u4e60\u7387\u51e0\u4e4e\u4e3a\u96f6\uff0c\u90a3\u4e48\u53c2\u6570\u5c06\u6c38\u8fdc\u4fdd\u6301\u4e0d\u53d8\u3002\u8fd9\u89e3\u91ca\u4e86\u4e3a\u4f55\u8bb8\u591a\u4eba\u5728\u6210\u5e74\u540e\u53d8\u5f97\u6781\u5ea6\u6392\u5916\u548c\u5b88\u65e7\u2014\u2014\u4e0d\u662f\u4ed6\u4eec\u5931\u53bb\u4e86\u5b66\u4e60\u7684\u80fd\u529b\uff0c\u800c\u662f\u7b97\u6cd5\u7b56\u7565\u9009\u62e9\u4e86\u653e\u5f03\u66f4\u65b0\u3002\u4ed6\u4eec\u88ab\u56f0\u5728\u4e86\u81ea\u5df1\u4eb2\u624b\u6316\u6398\u7684\u90a3\u4e2a\u201c\u5c40\u90e8\u6700\u4f18\u201d\u7684\u5751\u91cc\uff0c\u8bef\u4ee5\u4e3a\u90a3\u91cc\u5c31\u662f\u4e16\u754c\u7684\u5168\u90e8\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001 Learning Rate Restart\uff1a\u91cd\u542f\u751f\u547d\u7684\u6cdb\u5316\u529b<\/h2>\n\n\n\n<p>\u4e3a\u4e86\u89e3\u51b3\u6a21\u578b\u9677\u5165\u5c40\u90e8\u6700\u4f18\u7684\u95ee\u9898\uff0c\u7b97\u6cd5\u4e13\u5bb6\u63d0\u51fa\u4e86<strong>\u5468\u671f\u6027\u5b66\u4e60\u7387\u91cd\u542f\uff08Cyclical Learning Rates with Restarts\uff09<\/strong>\u3002\u8fd9\u79cd\u7b56\u7565\u9f13\u52b1\u5728\u6a21\u578b\u8d8b\u4e8e\u5e73\u7a33\u65f6\uff0c\u4eba\u4e3a\u5730\u3001\u5267\u70c8\u5730\u8c03\u5927\u5b66\u4e60\u7387\u3002<\/p>\n\n\n\n<p>\u8fd9\u79cd\u201c\u91cd\u542f\u201d\u5bf9\u4eba\u751f\u6709\u7740\u6df1\u523b\u7684\u9690\u55bb\u3002\u5b83\u8981\u6c42\u4e00\u4e2a\u4eba\u5728\u611f\u5230\u751f\u6d3b\u53d8\u5f97\u8fc7\u4e8e\u89c4\u5f8b\u3001\u601d\u7ef4\u53d8\u5f97\u8fc7\u4e8e\u50f5\u5316\u65f6\uff0c\u4e3b\u52a8\u5f15\u5165\u201c\u6270\u52a8\u201d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9886\u57df\u91cd\u7f6e\uff1a<\/strong> \u8de8\u5165\u4e00\u4e2a\u5168\u65b0\u7684\u884c\u4e1a\u6216\u7814\u7a76\u9886\u57df\uff0c\u5f3a\u8feb\u81ea\u5df1\u91cd\u65b0\u6210\u4e3a\u4e00\u540d\u201c\u91c7\u6837\u8005\u201d\u3002<\/li>\n\n\n\n<li><strong>\u8ba4\u77e5\u91cd\u542f\uff1a<\/strong> 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