{"id":188611,"date":"2024-05-09T16:59:31","date_gmt":"2024-05-09T08:59:31","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/188611.html"},"modified":"2024-05-09T16:59:34","modified_gmt":"2024-05-09T08:59:34","slug":"%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e4%b8%ad%e6%9c%89%e5%93%aa%e4%ba%9b%e6%af%94%e8%be%83%e6%95%b0%e5%ad%a6%e5%8c%96%e7%9a%84%e6%96%b9%e5%90%91","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/188611.html","title":{"rendered":"\u673a\u5668\u5b66\u4e60\u4e2d\u6709\u54ea\u4e9b\u6bd4\u8f83\u6570\u5b66\u5316\u7684\u65b9\u5411"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/26094746\/4e845611-9b63-45d2-b502-11e869909778.webp\" alt=\"\u673a\u5668\u5b66\u4e60\u4e2d\u6709\u54ea\u4e9b\u6bd4\u8f83\u6570\u5b66\u5316\u7684\u65b9\u5411\" \/><\/p>\n<p><p><a href=\"https:\/\/docs.pingcode.com\/ask\/59192.html\" target=\"_blank\">\u673a\u5668\u5b66\u4e60<\/a>\u4e2d\u8f83\u4e3a\u6570\u5b66\u5316\u7684\u65b9\u5411\u4e3b\u8981\u5305\u62ec<strong>\u7edf\u8ba1\u5b66\u4e60\u7406\u8bba\u3001\u4f18\u5316\u7b97\u6cd5\u3001\u51f8\u5206\u6790\u3001\u6982\u7387\u56fe\u6a21\u578b\u3001\u7ef4\u5ea6\u7ea6\u51cf\u4ee5\u53ca\u4fe1\u606f\u8bba<\/strong>\u7b49\u3002\u5404\u65b9\u5411\u4f9d\u6258\u4e8e\u4e25\u8c28\u7684\u6570\u5b66\u6846\u67b6\uff0c\u5bf9\u4e8e\u6a21\u578b\u7684\u7406\u89e3\u548c\u63a8\u5e7f\u5177\u6709\u81f3\u5173\u91cd\u8981\u7684\u4f5c\u7528\u3002<\/p>\n<\/p>\n<p><p>\u5176\u4e2d\uff0c<strong>\u7edf\u8ba1\u5b66\u4e60\u7406\u8bba<\/strong>\u5c24\u5176\u503c\u5f97\u8be6\u7ec6\u4ecb\u7ecd\u3002\u5b83\u662f\u673a\u5668\u5b66\u4e60\u7684\u6570\u5b66\u7406\u8bba\u57fa\u7840\uff0c\u4fa7\u91cd\u4e8e\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\u5206\u6790\u548c\u5b66\u4e60\u7b97\u6cd5\u7684\u6027\u80fd\u8bc4\u4f30\u3002\u8fd9\u4e00\u7406\u8bba\u4f53\u7cfb\u4e2d\uff0cVC\u7ef4\u3001\u8d1d\u53f6\u65af\u8bef\u5dee\u3001\u504f\u5dee-\u65b9\u5dee\u6743\u8861\u7b49\u6982\u5ff5\u6df1\u523b\u63cf\u8ff0\u4e86\u5b66\u4e60\u6a21\u578b\u7684\u80fd\u529b\u548c\u9650\u5236\u3002\u7edf\u8ba1\u5b66\u4e60\u7406\u8bba\u901a\u8fc7\u6570\u5b66\u5de5\u5177\u5b9a\u91cf\u63cf\u8ff0\u4e86\u6a21\u578b\u590d\u6742\u5ea6\u4e0e\u8bad\u7ec3\u6570\u636e\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e3a\u673a\u5668\u5b66\u4e60\u6a21\u578b\u9009\u62e9\u548c\u7b97\u6cd5\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u91cd\u8981\u6307\u5bfc\u3002<\/p>\n<\/p>\n<hr>\n<p><h3>\u4e00\u3001\u7edf\u8ba1\u5b66\u4e60\u7406\u8bba<\/h3>\n<\/p>\n<p><p>\u7edf\u8ba1\u5b66\u4e60\u7406\u8bba\u662f\u7814\u7a76\u5b66\u4e60\u7b97\u6cd5\u6027\u80fd\u7edf\u8ba1\u7279\u6027\u7684\u7406\u8bba\u3002\u6b64\u7406\u8bba\u901a\u8fc7\u5efa\u7acb\u6a21\u578b\u7684\u6cdb\u5316\u8bef\u5dee\u4e0a\u754c\uff0c\u8bc4\u4f30\u6a21\u578b\u590d\u6742\u5ea6\u548c\u6570\u636e\u89c4\u6a21\u7684\u5173\u7cfb\u3002<strong>VC\u7ef4\uff08Vapnik-Chervonenkis dimension\uff09<\/strong> \u662f\u8fd9\u4e00\u7406\u8bba\u4e2d\u7684\u5173\u952e\u6982\u5ff5\uff0c\u5b83\u8861\u91cf\u7684\u662f\u6a21\u578b\u7684\u5bb9\u91cf\uff0c\u5373\u6a21\u578b\u533a\u5206\u4e0d\u540c\u7c7b\u578b\u6570\u636e\u7684\u80fd\u529b\u3002\u5177\u6709\u9ad8VC\u7ef4\u7684\u6a21\u578b\u80fd\u62df\u5408\u66f4\u590d\u6742\u7684\u6570\u636e\uff0c\u4f46\u82e5\u672a\u4e0e\u8db3\u591f\u7684\u6570\u636e\u91cf\u914d\u5bf9\uff0c\u53ef\u80fd\u5bfc\u81f4\u8fc7\u62df\u5408\u3002<\/p>\n<\/p>\n<p><p>\u53e6\u4e00\u5173\u952e\u6982\u5ff5\u4e3a<strong>\u504f\u5dee-\u65b9\u5dee\u6743\u8861\uff08Bias-Variance Tradeoff\uff09<\/strong>\u3002\u504f\u5dee\u8861\u91cf\u4e86\u6a21\u578b\u5728\u4e0d\u540c\u8bad\u7ec3\u96c6\u4e0a\u5e73\u5747\u8bef\u5dee\u4e0e\u771f\u5b9e\u6a21\u578b\u4e4b\u95f4\u7684\u5dee\u8ddd\uff0c\u800c\u65b9\u5dee\u5219\u8861\u91cf\u4e86\u6a21\u578b\u8f93\u51fa\u5bf9\u4e8e\u4e0d\u540c\u8bad\u7ec3\u96c6\u7684\u654f\u611f\u7a0b\u5ea6\u3002\u7406\u60f3\u7684\u6a21\u578b\u80fd\u540c\u65f6\u4fdd\u6301\u4f4e\u504f\u5dee\u548c\u4f4e\u65b9\u5dee\uff0c\u4f46\u5728\u5b9e\u9645\u64cd\u4f5c\u4e2d\u9700\u8981\u627e\u5230\u5408\u9002\u7684\u5e73\u8861\u70b9\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u4f18\u5316\u7b97\u6cd5<\/h3>\n<\/p>\n<p><p>\u4f18\u5316\u7b97\u6cd5\u662f\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u6838\u5fc3\u95ee\u9898\u4e4b\u4e00\uff0c\u5b83\u5173\u6ce8\u4e8e\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u53c2\u6570\u7684\u6c42\u89e3\u3002<strong>\u68af\u5ea6\u4e0b\u964d\uff08Gradient Descent\uff09<\/strong> \u7b97\u6cd5\u53ca\u5176\u53d8\u79cd\uff08\u6bd4\u5982\u968f\u673a\u68af\u5ea6\u4e0b\u964d\u3001\u6279\u91cf\u68af\u5ea6\u4e0b\u964d\uff09\u662f\u5e38\u7528\u7684\u4f18\u5316\u65b9\u6cd5\u3002\u5b83\u4eec\u901a\u8fc7\u9010\u6e10\u8c03\u6574\u53c2\u6570\u4ee5\u6700\u5c0f\u5316\u635f\u5931\u51fd\u6570\u503c\uff0c\u627e\u5230\u5168\u5c40\u6216\u5c40\u90e8\u6700\u4f18\u89e3\u3002<\/p>\n<\/p>\n<p><p>\u968f\u7740\u6a21\u578b\u7684\u590d\u6742\u5ea6\u4e0a\u5347\uff0c\u4f18\u5316\u95ee\u9898\u53ef\u80fd\u4f1a\u53d8\u5f97\u975e\u51f8\u3002\u4e3a\u89e3\u51b3\u975e\u51f8\u4f18\u5316\u95ee\u9898\uff0c\u7814\u7a76\u8005\u4eec\u63d0\u51fa\u4e86\u57fa\u4e8e<strong>\u542f\u53d1\u5f0f\u7b97\u6cd5<\/strong>\u7684\u4f18\u5316\u65b9\u6cd5\uff0c\u5982\u9057\u4f20\u7b97\u6cd5\u3001\u6a21\u62df\u9000\u706b\u7b49\u3002\u6b64\u5916\uff0c\u8fd8\u6709\u4f9d\u6258\u4e8e<strong>KKT\u6761\u4ef6<\/strong>\uff08Karush-Kuhn-Tucker Conditions\uff09\u3001<strong>\u62c9\u683c\u6717\u65e5\u4e58\u6570\u6cd5<\/strong>\u7b49\u6570\u5b66\u5de5\u5177\u7684\u7ea6\u675f\u4f18\u5316\u65b9\u6cd5\u3002<\/p>\n<\/p>\n<p><h3>\u4e09\u3001\u51f8\u5206\u6790<\/h3>\n<\/p>\n<p><p>\u51f8\u5206\u6790\u7279\u522b\u5173\u6ce8\u4e8e\u51f8\u96c6\u3001\u51f8\u51fd\u6570\u4ee5\u53ca\u5b83\u4eec\u7684\u6027\u8d28\uff0c\u8fd9\u5728\u4f18\u5316\u95ee\u9898\u4e2d\u5c24\u5176\u91cd\u8981\u3002\u4e00\u4e2a\u4f18\u5316\u95ee\u9898\u662f\u51f8\u7684\uff0c\u610f\u5473\u7740\u4efb\u4f55\u5c40\u90e8\u6700\u5c0f\u503c\u90fd\u662f\u5168\u5c40\u6700\u5c0f\u503c\uff0c\u4f7f\u5f97\u4f18\u5316\u8fc7\u7a0b\u53d8\u5f97\u7b80\u5355\u4e14\u66f4\u6613\u627e\u5230\u89e3\u3002<strong>\u51f8\u96c6<\/strong>\u548c<strong>\u51f8\u51fd\u6570<\/strong>\u7684\u6982\u5ff5\u662f\u5206\u6790\u4f18\u5316\u95ee\u9898\u7684\u57fa\u7840\u3002<\/p>\n<\/p>\n<p><p>\u51f8\u6027\u8d28\u8fd8\u80fd\u5e2e\u52a9\u7814\u7a76<strong>\u5bf9\u5076\u7406\u8bba<\/strong>\uff0c\u5bf9\u5076\u7406\u8bba\u901a\u8fc7\u6784\u5efa\u4f18\u5316\u95ee\u9898\u7684\u5bf9\u5076\u95ee\u9898\u6765\u7b80\u5316\u6c42\u89e3\u8fc7\u7a0b\u3002\u4f8b\u5982\uff0c\u5728\u652f\u6301\u5411\u91cf\u673a\uff08SVM\uff09\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u539f\u59cb\u95ee\u9898\u7684\u6c42\u89e3\u53ef\u4ee5\u8f6c\u5316\u4e3a\u5bf9\u5076\u95ee\u9898\u7684\u6c42\u89e3\uff0c\u8fd9\u6837\u53ef\u4ee5\u5927\u5927\u964d\u4f4e\u8ba1\u7b97\u590d\u6742\u6027\u3002<\/p>\n<\/p>\n<p><h3>\u56db\u3001\u6982\u7387\u56fe\u6a21\u578b<\/h3>\n<\/p>\n<p><p>\u6982\u7387\u56fe\u6a21\u578b\u4f7f\u7528\u56fe\u7ed3\u6784\u6765\u8868\u73b0\u53d8\u91cf\u95f4\u7684\u6982\u7387\u5173\u7cfb\u3002\u6a21\u578b\u5982<strong>\u8d1d\u53f6\u65af\u7f51\u7edc<\/strong>\u548c<strong>\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a<\/strong>\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u79cd\u573a\u5408\uff0c\u4ece\u81ea\u7136\u8bed\u8a00\u5904\u7406\u5230\u56fe\u50cf\u8bc6\u522b\u4e2d\u3002\u6570\u5b66\u5316\u7684\u90e8\u5206\u5728\u4e8e\u5229\u7528\u56fe\u7406\u8bba\u3001\u6982\u7387\u8bba\u548c\u7edf\u8ba1\u5b66\u7cbe\u786e\u5730\u63cf\u8ff0\u6a21\u578b\u7ed3\u6784\u548c\u63a8\u7406\u8fc7\u7a0b\u3002<\/p>\n<\/p>\n<p><p>\u5176\u4e2d\uff0c<strong>\u63a8\u7406\u7b97\u6cd5<\/strong>\u5982\u4fe1\u5ff5\u4f20\u64ad\uff08Belief Propagation\uff09\u3001\u53d8\u5206\u63a8\u7406\uff08Variational Inference\uff09\u7b49\uff0c\u5747\u662f\u57fa\u4e8e\u6df1\u5165\u7684\u6570\u5b66\u63a8\u5bfc\u5b9e\u73b0\u7684\u3002\u8fd9\u4e9b\u7b97\u6cd5\u5e2e\u52a9\u6211\u4eec\u9ad8\u6548\u5730\u5728\u6982\u7387\u56fe\u6a21\u578b\u4e2d\u8ba1\u7b97\u8fb9\u9645\u6982\u7387\u3001\u6700\u5927\u540e\u9a8c\u6982\u7387\u7b49\u91cd\u8981\u95ee\u9898\u3002<\/p>\n<\/p>\n<p><h3>\u4e94\u3001\u7ef4\u5ea6\u7ea6\u51cf<\/h3>\n<\/p>\n<p><p>\u7ef4\u5ea6\u7ea6\u51cf\u65b9\u6cd5\u81f4\u529b\u4e8e\u5728\u5c3d\u53ef\u80fd\u4fdd\u7559\u6570\u636e\u96c6\u91cd\u8981\u4fe1\u606f\u7684\u540c\u65f6\u51cf\u5c11\u5176\u7ef4\u5ea6\u3002\u8fd9\u7c7b\u65b9\u6cd5\u5305\u62ec<strong>\u4e3b\u6210\u5206\u5206\u6790\uff08PCA\uff09<\/strong>\u3001\u7ebf\u6027\u5224\u522b\u5206\u6790\uff08LDA\uff09<strong>\u4ee5\u53ca<\/strong>t-\u5206\u5e03\u968f\u673a\u8fd1\u90bb\u5d4c\u5165\uff08t-SNE\uff09\u7b49\u3002\u8fd9\u4e9b\u6280\u672f\u5229\u7528\u7ebf\u6027\u4ee3\u6570\u548c\u7edf\u8ba1\u5b66\u539f\u7406\u5bfb\u627e\u6570\u636e\u7684\u4f4e\u7ef4\u8868\u793a\u3002<\/p>\n<\/p>\n<p><p>\u4f8b\u5982\uff0cPCA\u901a\u8fc7\u5bfb\u627e\u6570\u636e\u65b9\u5dee\u6700\u5927\u7684\u65b9\u5411\u6765\u786e\u5b9a\u65b0\u7684\u7279\u5f81\u7a7a\u95f4\uff0c\u8fd9\u79cd\u8f6c\u6362\u4f7f\u5f97\u6570\u636e\u538b\u7f29\u540c\u65f6\u66f4\u6613\u4e8e\u5904\u7406\u548c\u5206\u6790\u3002\u5728PCA\u7684\u8fc7\u7a0b\u4e2d\uff0c\u7279\u5f81\u503c\u5206\u89e3\u548c\u5947\u5f02\u503c\u5206\u89e3\u7b49\u7ebf\u6027\u4ee3\u6570\u6280\u672f\u662f\u5fc5\u4e0d\u53ef\u5c11\u7684\u3002<\/p>\n<\/p>\n<p><h3>\u516d\u3001\u4fe1\u606f\u8bba<\/h3>\n<\/p>\n<p><p>\u4fe1\u606f\u8bba\u7814\u7a76\u7684\u662f\u4fe1\u606f\u7684\u91cf\u5316\u3001\u5b58\u50a8\u4ee5\u53ca\u4f20\u8f93\u3002\u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\uff0c<strong>\u4fe1\u606f\u71b5\u3001\u4e92\u4fe1\u606f<\/strong>\u7b49\u6982\u5ff5\u7528\u4e8e\u8bc4\u4ef7\u6a21\u578b\u6027\u80fd\u548c\u7279\u5f81\u91cd\u8981\u6027\u3002\u4f8b\u5982\uff0c\u51b3\u7b56\u6811\u7b97\u6cd5\u4e2d\u4f7f\u7528\u4fe1\u606f\u589e\u76ca\u6765\u9009\u62e9\u6700\u6709\u6548\u7684\u7279\u5f81\u8fdb\u884c\u5206\u679d\u3002<\/p>\n<\/p>\n<p><p>\u901a\u8fc7\u6570\u5b66\u5316\u65b9\u6cd5\uff0c\u4fe1\u606f\u8bba\u4e0d\u4ec5\u5728\u673a\u5668\u5b66\u4e60\u4e2d\u53d1\u6325\u4f5c\u7528\uff0c\u8fd8\u5728\u6df1\u5ea6\u5b66\u4e60\u4e2d\u5360\u636e\u91cd\u8981\u4f4d\u7f6e\uff0c\u6bd4\u5982\u901a\u8fc7\u4fe1\u606f\u74f6\u9888\u539f\u7406\u6765\u89e3\u91ca\u7f51\u7edc\u4e2d\u4fe1\u606f\u7684\u6d41\u52a8\u548c\u538b\u7f29\u3002<\/p>\n<\/p>\n<hr>\n<p><p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u673a\u5668\u5b66\u4e60\u9886\u57df\u4e2d\u8bb8\u591a\u9ad8\u5ea6\u6570\u5b66\u5316\u7684\u65b9\u5411\u5747\u4ee5\u5176\u5f3a\u5927\u7684\u7406\u8bba\u57fa\u7840\u548c\u5e7f\u6cdb\u7684\u5e94\u7528\u573a\u666f\uff0c\u5c55\u793a\u51fa\u4e86\u8be5\u5b66\u79d1\u672c\u8d28\u4e0a\u6df1\u523b\u7684\u6570\u5b66\u6839\u57fa\u3002\u5bf9\u4e8e\u6d89\u53ca\u8fd9\u4e9b\u65b9\u5411\u7684\u7814\u7a76\u4e0e\u5b9e\u8df5\uff0c\u6df1\u539a\u7684\u6570\u5b66\u529f\u5e95\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>1. \u673a\u5668\u5b66\u4e60\u4e2d\u6709\u54ea\u4e9b\u6570\u5b66\u57fa\u7840\u77e5\u8bc6\u9700\u8981\u638c\u63e1\uff1f<\/strong><\/p>\n<p>\u673a\u5668\u5b66\u4e60\u6d89\u53ca\u5230\u8bb8\u591a\u6570\u5b66\u6982\u5ff5\u548c\u6280\u672f\uff0c\u5305\u62ec\u7ebf\u6027\u4ee3\u6570\u3001\u7edf\u8ba1\u5b66\u3001\u5fae\u79ef\u5206\u548c\u6982\u7387\u8bba\u7b49\u3002\u4e86\u89e3\u8fd9\u4e9b\u6570\u5b66\u57fa\u7840\u77e5\u8bc6\u5c06\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u539f\u7406\u548c\u5e94\u7528\u3002<\/p>\n<p><strong>2. 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