{"id":220,"date":"2024-10-22T23:03:06","date_gmt":"2024-10-22T15:03:06","guid":{"rendered":"https:\/\/eve2333.top\/?p=220"},"modified":"2024-10-25T10:45:27","modified_gmt":"2024-10-25T02:45:27","slug":"%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e8%a5%bf%e7%93%9c%e4%b9%a6","status":"publish","type":"post","link":"https:\/\/eve2333.top\/?p=220","title":{"rendered":"\u673a\u5668\u5b66\u4e60\u897f\u74dc\u4e66"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u7eea\u8bba<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1.1 \u7eea\u8bba 1.2 \u8bfe\u7a0b\u5b9a\u4f4d<\/h3>\n\n\n\n<p>\u79d1\u5b66:\u662f\u4ec0\u4e48\uff0c\u4e3a\u4ec0\u4e48\uff1b<\/p>\n\n\n\n<p>\u6280\u672f:\u600e\u4e48\u505a\uff1b<\/p>\n\n\n\n<p>\u5de5\u7a0b:\u505a\u7684\u591a\u5feb\u597d\u7701\uff1b<\/p>\n\n\n\n<p>\u5e94\u7528:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.3 \u673a\u5668\u5b66\u4e60<\/h3>\n\n\n\n<p>\u7ecf\u5178\u5b9a\u4e49:\u5229\u7528\u7ecf\u9a8c\u6539\u5584\u7cfb\u7edf\u81ea\u8eab\u7684\u6027\u80fd\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.4 \u5178\u578b\u7684\u673a\u5668\u5b66\u4e60\u8fc7\u7a0b<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">1.5 \u8ba1\u7b97\u5b66\u4e60\u7406\u8bba<\/h3>\n\n\n\n<p>\u673a\u5668\u5b66\u4e60\u6709\u575a\u5b9e\u7684\u7406\u8bba\u57fa\u7840\uff0c\u7531Leslie Valiant\u7684\u8ba1\u7b97\u5b66\u4e60\u7406\u8bba\u3002<\/p>\n\n\n\n<p>\u73b0\u5728\u6709\u4e00\u4e2a\u6570\u636e\u6837\u672cx,\u73b0\u5728\u5bf9x\u8fdb\u884c\u4e00\u4e2af(x)\u7684\u5224\u65ad,y\u662f\u771f\u5b9e\u7684\u7ed3\u679c,\u6211\u4eec\u8ba9\u4e24\u4e2a\u6570\u7684\u5dee\u5c0f\u4e8e\u4e00\u4e2a\u975e\u5e38\u5c0f\u7684\u6570\u5b57\u5373\u53ef\u3002<\/p>\n\n\n\n<p>\u63d0\u51fa\u4e86\u4e24\u4e2a\u95ee\u9898\uff0c\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u4e3a\u4ec0\u4e48\u4e0d\u8ffd\u6c42\u7edd\u5bf9\u7684\u7b49\u4e8e0\uff0c\u7b2c\u4e8c\uff0c\u4e3a\u4ec0\u4e48\u662f\u4e00\u4e2a\u6982\u7387\u800c\u4e0d\u662f\u6bcf\u6b21\u7edd\u5bf9\u80fd\u62ff\u5230\u8fd9\u5173\u4e4e\u5230\u673a\u5668\u5b66\u4e60\u7684\u6839\u672c\u3002<\/p>\n\n\n\n<p>p ?= NP<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.6 \u57fa\u672c\u672f\u8bed<\/h3>\n\n\n\n<p>\u6570\u636e\u96c6\uff1b\u8bad\u7ec3\uff0c\u6d4b\u8bd5<\/p>\n\n\n\n<p>\u793a\u4f8b(instance),\u6837\u4f8b(example)<\/p>\n\n\n\n<p>\u6837\u672c(sample)<\/p>\n\n\n\n<p>\u5c5e\u6027\uff08attribute\uff09\uff0c\u7279\u5f81\uff08feature\uff09\uff1b\u5c5e\u6027\u503c\u5c5e\u6027\u7a7a\u95f4\uff0c\u6837\u672c\u7a7a\u95f4\uff0c\u8f93\u5165\u7a7a\u95f4<\/p>\n\n\n\n<p>\u7279\u5f81\u5411\u91cf\uff08feature vector\uff09<\/p>\n\n\n\n<p>\u6807\u8bb0\u7a7a\u95f4\uff0c\u8f93\u51fa\u7a7a\u95f4<\/p>\n\n\n\n<p>example\u662f\u6709\u7ed3\u679c\uff0cinstance\u5219\u662f\u6ca1\u6709\u7ed3\u679c\u7684\uff0c\u8fd9\u662f\u8fd9\u4e24\u4e2a\u7684\u533a\u522b\uff1b<\/p>\n\n\n\n<p>\u6837\u672c\u8fd9\u662f\u4e00\u4e2a\u6bd4\u8f83\u6a21\u7cca\u7684\u6982\u5ff5\uff0c\u5bf9sample\u4ee3\u79f0\u7684\u7406\u89e3\u9700\u8981\u7ed3\u5408\u4e0a\u4e0b\u6587\uff0c\u6709\u53ef\u80fd\u662f\u6307\u67d0\u4e00\u4e2aexample\uff0c\u4e5f\u53ef\u80fd\u662f\u67d0\u4e00\u4e2adataset<\/p>\n\n\n\n<p>\u6211\u4eec\u628a\u6bcf\u4e00\u4e2a\u5c5e\u6027\u53eb\u505a\u4e00\u4e2a\u8f74\uff0c\u6bd4\u5982\u897f\u74dc\u5c31\u662f\u4e00\u4e2a\u4e09\u7ef4\u7a7a\u95f4\uff0c\u4efb\u4f55\u4e00\u4e2a\u897f\u74dc\u90fd\u662f\u7a7a\u95f4\u76f4\u89d2\u5750\u6807\u7cfb\u7684\u4e00\u4e2a\u70b9\uff0c\u8fd9\u5c31\u662f\u4e00\u4e2a\u7279\u5f81\u5411\u91cf\uff0c\u8fd9\u4e2a\u7a7a\u95f4\u5c31\u662f\u5c5e\u6027\u7a7a\u95f4\uff0c\u540c\u65f6\u4e5f\u53eb\u505a\u6837\u672c\u7a7a\u95f4\uff0c\u56e0\u4e3a\u6240\u6709\u6837\u672c\u90fd\u662f\u5728\u8fd9\u4e2a\u7a7a\u95f4\u91cc\u9762\uff0c\u8f93\u51fa\u7a7a\u95f4\u540c\u7406y\/n<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u8f93\u51fa\uff0c\u5982\u679c\u662f\u4e2a\u522b\u7684\u70b9\uff0c\u6bd4\u5982yes\/no\u5c31\u662f01\u4e24\u70b9\u4e8c\u5206\u7c7b\uff0c\u5927\u4e2d\u5c0f3\u70b9\u591a\u5206\u7c7b\uff0c\u5982\u679c\u662f\u4e00\u4e2a\u8303\u56f4\uff0c\u90a3\u5c31\u662f\u56de\u5f52<\/p>\n\n\n\n<p>\u76d1\u7763\u5b66\u4e60\uff0c\u6709\u65f6\u5019\u53c8\u628a\u5b83\u53eb\u505a\u6709\u5bfc\u5e08\u7684\u5b66\u4e60,Supervised learning.\u65e0\u76d1\u7763\u5b66\u4e60\u6709\u65f6\u5019\u53eb\u821e\u8e48\u5f0f\u5b66\u4e60\uff0c\u5b83\u6307\u7684\u662f\u4ec0\u4e48\u5462\uff1f\u4f60\u5728\u6570\u636e\u91cc\u9762\u62ff\u5230\u6837\u4f8b\u7684\u8fd9\u4e2a\u7ed3\u679c\u90e8\u5206\uff0c\u6211\u4eec\u6ca1\u6709\u62ff\u5230\u8fd9\u4e2a\u90e8\u5206\uff0c\u6211\u4eec\u6ca1\u6709\u8fd9\u4e2a\u90e8\u5206\u5c31\u662f\u65e0\u76d1\u7763\u5b66\u4e60\uff0c\u6709\u8fd9\u4e2a\u90e8\u5206\u5c31\u662f\u76d1\u7763\u5b66\u4e60\u3002\u4e5f\u5c31\u662f\u8bf4\u62ff\u5230\u7684\u6570\u636e\u91cc\u9762\u6ca1\u6709\u671f\u671b\u7ed3\u679c\u662f\u65e0\u76d1\u7763\u5b66\u4e60\u3002<\/p>\n\n\n\n<p>\u4f60\u53ef\u80fd\u8ba4\u4e3a\u65e0\u76d1\u7763\u5b66\u4e60\u6ca1\u4ec0\u4e48\u7528\uff0c\u65e0\u76d1\u7763\u5b66\u4e60\u5c31\u662f\u4f60\u7ed9\u6211\u4e00\u5806\u897f\u74dc\uff0c\u8fd9\u4e2a\u597d\u7684\u574f\u7684\u90fd\u4e0d\u544a\u8bc9\u6211\uff0c\u90a3\u6211\u8fd9\u80fd\u505a\u4ec0\u4e48\u3002\u53ef\u80fd\u80fd\u505a\u7684\u662f\u628a\u8fd9\u4e9b\u897f\u74dc\u5206\u6210\u5f88\u591a\u5806\uff0c\u8fd9\u8fb9\u6709\u4e00\u5806\uff0c\u90a3\u8fb9\u6709\u4e00\u5806\uff0c\u5206\u7c7b\u56de\u5f52\u975e\u76d1\u7763\u5b66\u4e60\u7684\u5178\u578b\u4efb\u52a1\u6709\u54ea\u4e9b\u5462\uff1f\u7c7b\u4f3c\u4e8e\u79bb\u6563\u7c7b\u522b\u7684\u505a\u805a\u7c7b\uff0c\u6211\u4eec\u628a\u6570\u636e\u5206\u6210\u82e5\u5e72\u4e2a\u79bb\u6563\u4e2a\u7c7b\u522b\uff0c\u4e5f\u6709\u53ef\u80fd\u6211\u4eec\u5904\u7406\u8fde\u7eed\u7684\u5c31\u662f\u5728\u505a\u5bc6\u5ea6\u8f68\u8ff9\u4f30\u8ba1\uff0c\u6211\u5224\u65ad\u4e00\u4e0b\u4ec0\u4e48\u6837\u7684\u4e1c\u897f\u66f4\u591a\uff0c\u4ec0\u4e48\u6837\u7684\u4e1c\u897f\u66f4\u5c11\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.7 \u5047\u8bbe\u7a7a\u95f4<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">1.8 \u5f52\u7eb3\u504f\u597d<\/h3>\n\n\n\n<p>\u5965\u5361\u59c6\u5243\u5200\uff1a\u82e5\u975e\u5fc5\u8981\u52ff\u589e\u5b9e\u4f53<\/p>\n\n\n\n<p>\u7b80\u5355\u7684\u6765\u8bf4\u5462\uff0c\u5c31\u662f\u5f53\u6211\u4eec\u53d1\u73b0\u6709\u5f88\u591a\u7684\u5047\u8bf4\uff0c\u5f88\u591a\u7684\u4e1c\u897f\u90fd\u80fd\u591f\u5b8c\u7f8e\u7684\u89e3\u91ca\u6211\u4eec\u7684\u89c2\u5bdf\uff0c\u8fd9\u65f6\u5019\u6211\u4eec\u5c31\u9009\u6700\u7b80\u5355\u7684\u3002\u673a\u5668\u5b66\u4e60\u91cc\u9762\u6211\u4eec\u770b\u5230\u7684\u8bad\u7ec3\u6837\u672c\uff0c\u5982\u679c\u6709\u591a\u4e2a\u6a21\u578b\u90fd\u80fd\u5f88\u597d\u5730\u89e3\u91ca\u8fd9\u4e2a\u73b0\u8c61\uff0c\u6211\u4eec\u5c31\u627e\u6700\u7b80\u5355\u7684\u8fd9\u4e2a\u6a21\u578b\u554a\uff0c\u8fd9\u5c31\u662f\u57fa\u672c\u601d\u8def\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.9 NFL\u5b9a\u7406<\/h3>\n\n\n\n<p>NFL\u5b9a\u7406\u7684\u91cd\u8981\u524d\u63d0\uff1a\u6240\u6709\u201c\u95ee\u9898\u201d\u51fa\u73b0\u7684\u673a\u4f1a\u76f8\u540c\u3001\u6216\u6240\u6709\u95ee\u9898\u540c\u7b49\u91cd\u8981<\/p>\n\n\n\n<p>\u5b9e\u9645\u60c5\u5f62\u5e76\u975e\u5982\u6b64\uff1b\u6211\u4eec\u901a\u5e38\u53ea\u5173\u6ce8\u81ea\u5df1\u6b63\u5728\u8bd5\u56fe\u89e3\u51b3\u7684\u95ee\u9898\u3002 \u8131\u79bb\u5177\u4f53\u95ee\u9898\uff0c\u7a7a\u6cdb\u5730\u8c08\u8bba\u201c\u4ec0\u4e48\u5b66\u4e60\u7b97\u6cd5\u66f4\u597d\u201d\u6beb\u65e0\u610f\u4e49\uff01\u5177\u4f53\u95ee\u9898\uff0c\u5177\u4f53\u5206\u6790\uff01<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6a21\u578b\u8bc4\u4f30\u4e0e\u9009\u62e9<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">2.1 \u6cdb\u5316\u80fd\u529b 2.2 \u8fc7\u62df\u5408\u548c\u6b20\u62df\u5408<\/h3>\n\n\n\n<p>\u6cdb\u5316\u8bef\u5dee\uff1a\u5728\u201c\u672a\u6765\u201d\u6837\u672c\u4e0a\u7684\u8bef\u5dee<\/p>\n\n\n\n<p>\u7ecf\u9a8c\u8bef\u5dee\uff1a\u5728\u8bad\u7ec3\u96c6\u4e0a\u7684\u8bef\u5dee\uff0c\u4ea6\u79f0\u201c\u8bad\u7ec3\u8bef\u5dee\u201d \u6cdb\u5316\u8bef\u5dee\u8d8a\u5c0f\u8d8a\u597d\uff1f\u7ecf\u9a8c\u8bef\u5dee\u662f\u5426\u8d8a\u5c0f\u8d8a\u597d\uff1f<\/p>\n\n\n\n<p>NO!\u56e0\u4e3a\u4f1a\u51fa\u73b0\u201c\u8fc7\u62df\u5408\u201d(overfiting)<\/p>\n\n\n\n<p>\u5728\u591a\u9879\u5f0f\u65f6\u95f4\u4e0b\uff0cP\u548cM P\u786e\u5b9e\u4f1a\u4e0d\u7b49\uff0c\u4f46\u662f\u5982\u679c\u5728\u5355\u9879\u5f0f\u65f6\u95f4\u4e0b\uff0c\u53ea\u6c42\u6700\u5c0f\u73af\u5883\u4e0b\u7684\u6700\u4f18\u89e3\uff0c\u90a3\u4e48\u5c31\u6709\u53ef\u80fd\u5b9e\u73b0P\u548cnP\u5728\u4e00\u5b9a\u65f6\u95f4\u72b6\u6001\u4e0b\u662f\u5bf9\u7b49\u7684\u3002\u53ef\u4ee5\u7406\u89e3\u4e3a \u786e\u5b9a\u4e00\u4e2a\u6a21\u578b\u5c31\u662f\u6700\u4f18\u6a21\u578b\uff0c\u8fd9\u4ef6\u4e8b\u6bd4NP\u95ee\u9898\u8fd8\u8981\u590d\u6742\uff0c\u6240\u4ee5\u786e\u5b9a\u4e0d\u4e86\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.3 \u4e09\u5927\u95ee\u9898<\/h3>\n\n\n\n<p>\u6839\u636e\u5df2\u6709\u7684\u6027\u80fd\u6307\u6807\u8bbe\u8ba1\u65b9\u6cd5\u8bbe\u8ba1\u4e00\u4e2a\u9488\u5bf9\u4f60\u7684\u5177\u4f53\u4e1a\u52a1\u7684\u6027\u80fd\u6307\u6807<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.4 \u8bc4\u4f30\u65b9\u6cd5<\/h3>\n\n\n\n<p>\u5173\u952e\uff1a\u600e\u4e48\u83b7\u5f97\u201c\u6d4b\u8bd5\u96c6\u201d\uff08test set\uff09\uff1f\u6d4b\u8bd5\u96c6\u5e94\u8be5\u4e0e\u8bad\u7ec3\u96c6\u201c\u4e92\u65a5\u201d<\/p>\n\n\n\n<p>\u5e38\u89c1\u65b9\u6cd5\uff1a\u7559\u51fa\u6cd5(hold-out)<\/p>\n\n\n\n<p>\u4ea4\u53c9\u9a8c\u8bc1\u6cd5(cross validation) \u81ea\u52a9\u6cd5(bootstrap)<\/p>\n\n\n\n<p>\u8fd9\u4e2a\u6298\u6211\u4eec\u5728\u82f1\u6587\u91cc\u9762\u53ebfold\uff0c\u7ecf\u8fc7\u4e0a\u56fe\u7684\u9a8c\u8bc1\uff08Turn food cross validation\uff09\uff0c\u8fd9\u4e0d\u662f\u7559\u51fa\u6cd5\uff0c\u7559\u51fa\u6cd5\u662f\u6bcf\u6b21\u968f\u673a\u53d6\u6d4b\u8bd5\u96c6\uff0c\u6709\u7684\u6837\u672c\u53ef\u80fd\u81ea\u59cb\u81f3\u7ec8\u90fd\u6ca1\u529e\u6cd5\u6210\u4e3a\u6d4b\u8bd5\u96c6\u4e2d\u7684\u4e00\u4e2a\u3002\u8fd9\u5f53\u7136\u5f88\u597d\uff0c\u4f46\u662f\u5bf9\u4e8e\u6781\u7aef\u7684\u4f8b\u5b50\uff0c\u6bd4\u59821\u4e2a\u7537\u751f\u548c99\u4e2a\u5973\u751f\u7684\u96c6\u5408\uff0c\u7559\u4e00\u6cd5\u5c31\u660e\u663e\u7684\u9519\u8bef\u4e86\u3002<\/p>\n\n\n\n<p>\u53ebbootstrap something\uff0c\u90a3\u4ed6\u662f\u5728\u505a\u4ec0\u4e48\u4e8b\u5462\uff1f\u6211\u4eec\u60f3\u8c61\u4e00\u4e2a\u76d2\u5b50\uff0c\u8fd9\u4e2a\u76d2\u5b50\u91cc\u9762\u6211\u73b0\u5728\u653e\u4e86\u5341\u4e2a\u7403\uff0c\u4f60\u6bcf\u6b21\u6478\u4e00\u4e2a\u7403copy\u4e00\u4e0b\uff0c\u518d\u628a\u8fd9\u4e2a\u7403\u653e\u56de\u53bb\uff0c\u4e0b\u6b21\u518d\u53d6\u4e00\u4e2a\u7403\uff0c\u90a3\u5c31\u6709\u7684\u7403\u4f1a\u591a\u6b21\u51fa\u73b0\uff0c\u6709\u7684\u7403\u6839\u672c\u6ca1\u53d6\u5230\u3002\u4f46\u662f\u4e0d\u7ba1\u600e\u4e48\u8bf4\uff0c\u4f60\u539f\u6765\u6709\u5341\u4e2a\u7403\uff0c\u6211\u73b0\u5728\u8fd8\u53ef\u4ee5\u53d6\u5341\u4e2a\u7403\u51fa\u6765\uff0c\u53ea\u4e0d\u8fc7\u6709\u7684\u662f\u91cd\u590d\u7684\u561b\uff0c\u6709\u7684\u6837\u672c\u51fa\u73b0\u4e86\u597d\u51e0\u6b21\u3002\u4f46\u662f\u4ee5\u8fd9\u79cd\u65b9\u5f0f\uff0c\u4f60\u539f\u6765\u662f\u5047\u8bbe\u662f100\u4e2a\u6570\u636e\u505a\u6a21\u578b\uff0c\u6211\u73b0\u5728\u5c31\u80fd\u91c7\u6837\u51fa\u4e00\u4e2a\u6570\u636e\u96c6\u6765\uff0c\u7528100\u4e2a\u6837\u672c\u505a\u6a21\u578b\uff0c\u540c\u65f6\u5462\u8fd9\u4e2a\u91cc\u9762\u6ca1\u6709\u51fa\u73b0\u7684\u6570\u636e\uff0c\u6211\u5c31\u53ef\u4ee5\u7559\u51fa\u6765\u505a\u6d4b\u8bd5\u3002\u90a3\u8fd9\u4e2a\u6ca1\u6709\u51fa\u73b0\u7684\u6570\u636e\u5927\u6982\u4f1a\u6709\u591a\u5c11\u5462\uff1f\u6211\u4eec\u53ef\u4ee5\u505a\u8fd9\u4e48\u4e00\u4e2a\u4f30\u8ba1\uff0c\u975e\u5e38\u7b80\u5355\u7684\u4f30\u8ba1M\u4e2a\u6837\u672c\uff0c\u6211\u4eec\u53d6M4\uff0c\u90a3\u4e48\u5b83\u4e0d\u51fa\u73b0\u7684\u53ef\u80fd\u6027\uff0c\u6bcf\u4e00\u6b21M\u4e2a\u7403\u554a\uff0c\u6bcf\u4e00\u6b21\u6bcf\u53d6\u4e00\u6b21\u4ed6\u90fd\u6ca1\u6709\u88ab\u53d6\u5230\uff0c\u662f\u4e00\u51cfN\u5206\u4e4b\u4e00\uff0c\u6211\u4eec\u53d6\u4e86M\u4e2a\u7403\uff0c\u53d6\u4e86M\u6b21\uff0c\u90a3\u5c31\u662f\u8fd9\u4e48\u6570\uff0c\u90a3\u5982\u679c\u8fd9\u4e2aM\u975e\u5e38\u5927\u7684\u65f6\u5019\uff0c\u5b83\u5c31\u662f1\/1\uff0c\u90a3\u8fd9\u4e2a\u662f0.368\uff0c\u4e5f\u5c31\u662f\u8bf4\u5927\u6982\u670936.8%\u7684\u6570\u636e\uff0c\u5728\u53d6\u51fa\u6765\u7684\u8fd9\u4e2a\u96c6\u5408\u91cc\u9762\u6ca1\u6709\u51fa\u73b0\u3002\u90a3\u73b0\u5728\u6211\u4eec\u5c31\u80fd\u7528\u8fd9\u4e2a\u6ca1\u6709\u51fa\u73b0\u7684\u8fd9\u90e8\u5206\u6765\u505a\u6d4b\u8bd5\u96c6\uff0c\u90a3\u8fd9\u6837\u4e00\u4e2a\u6d4b\u8bd5\u53eb\u4ec0\u4e48\u5462\uff1f\u53ebout of a bag estimation\uff0c\u8fd9\u4e13\u95e8\u6709\u4e2a\u540d\u5b57\u554a\uff0c\u5c31\u662f\u53eb\u5305\u5916\u4f30\u8ba1\u3002\u6240\u4ee5\u5f53\u4f60\u770b\u5230\u6709\u7684\u4e1c\u897f\u8bf4\u6211\u7528\u4e86out of bag estimation\u7684\u65f6\u5019\uff0c\u4f60\u5c31\u5e94\u8be5\u77e5\u9053\u4ed6\u7528\u7684\u6d4b\u8bd5\u65b9\u6cd5\u662f\u8fd9\u6837\u4e00\u79cd\u6d4b\u8bd5\u65b9\u6cd5\u3002\u539f\u6765\u7684100\u4e2a\u6211\u95ed\u7740\u773c\u775b\u53ef\u91cd\u590d\u91c7\u6837\uff0c\u53d6100\u4e2a\uff0c\u8bad\u7ec3\u4e86100\u4e2a\u505a\u7684\u6a21\u578b\uff0c\u7136\u540e\u5462\u7528\u539f\u6765\u7684\u8fd9\u4e2a\u6ca1\u53d6\u5230\u7684\u8fd9\u4e9b\u6765\u6d4b\u8bd5\uff0c\u6d4b\u51fa\u6765\u7684\u7ed3\u679c\u554a\uff0c\u8fd9\u4e5f\u662f\u4e00\u79cd\u5f88\u597d\u7684\u4e00\u79cd\u6280\u672f\uff0c\u5728\u7279\u5b9a\u7684\u573a\u5408\u4ed6\u8fd8\u5f88\u6709\u7528\u3002\u90a3\u6211\u4eec\u8bf4\u8bf4\u5b83\u7684\u7f3a\u9677\uff0c\u6700\u91cd\u5927\u7684\u7f3a\u9677\u5c31\u662f\u5b83\u6539\u53d8\u4e86\u8bad\u7ec3\u6570\u636e\u7684\u5206\u5e03\uff0c\u5bf9\u5427\uff1f\u6211\u4eec\u5e94\u8be5\u662f\u7528\u8fd9\u6837\u7684\u4e00\u4e2a\u8bad\u7ec3\u6570\u636e\u7684\u5206\u5e03\uff0c\u7ed3\u679c\u5462\u4ed6\u5728\u8fd9\u4e2a\u7528\u8fd9\u6837\u6765\u505a\u8bad\u7ec3\u6570\u636e\u4e86\uff0c\u5c31\u672c\u6765\u6211\u4eec\u8fd9\u5341\u4e2a\u6837\u672c\uff0c\u8fd9\u5341\u4e2a\u7403\u5e94\u8be5\u540c\u7b49\u91cd\u8981\uff0c\u7ed3\u679c\u4f60\u8fd9\u4e2a\u505a\u7684\u6a21\u578b\u8ba4\u4e3a\uff0c\u8fd9\u4e2a\u4e2d\u8fd9\u4e2a\u7403\u548c\u8fd9\u4e2a\u7403\u66f4\u91cd\u8981\uff0c\u4f60\u7684\u6a21\u578b\u5728\u8fd9\u4e0a\u9762\u53ef\u80fd\u5f97\u5230\u4e86\u4e00\u4e2a\u9ad8\u4f30\uff0c\u8fd9\u662f\u4ed6\u7684\u95ee\u9898\uff0c\u8bad\u7ec3\u5206\u5e03\u53d1\u751f\u53d8\u5316\u4e86\u3002\u4f46\u662f\u6709\u65f6\u5019\u5982\u679c\u6211\u4eec\u8ba4\u4e3a\u8bad\u7ec3\u5206\u5e03\u5b83\u7a0d\u5fae\u53d8\u4e00\u70b9\u4e0d\u592a\u91cd\u8981\u7684\u65f6\u5019\u554a\uff0c\u90a3\u8fd9\u4e2a\u633a\u597d\uff0c\u800c\u4e14\u6709\u65f6\u5019\u6570\u636e\u91cf\u4e0d\u591f\u7684\u65f6\u5019\uff0c\u7528\u8fd9\u4e2a\u4e5f\u633a\u597d\uff0c\u6240\u4ee5\u4f60\u4e00\u5b9a\u8981\u8003\u8651\u4f60\u4f7f\u7528\u7684\u573a\u666f\u3002bootstrap somebody\u8fd9\u4e2a\u4e1c\u897f\u975e\u5e38\u6709\u7528\uff0c\u4ee5\u540e\u6211\u4eec\u8fd8\u4f1a\u63a5\u89e6\u5230bootstrap\u8fd9\u4e2a\u8bcd\uff0c\u8fd9\u4e2a\u5305\u62ec\u5728\u6211\u4eec\u8bb2\u7b2c\u516b\u90e8\u5206\u8bb2ensemble methods\u96c6\u6210\u5b66\u4e60\u65b9\u6cd5\u7684\u65f6\u5019\uff0c\u8fd9\u4e2a\u662f\u4e2a\u5173\u952e\u7684\u4e00\u4e2a\u6280\u672f\u3002\u800c\u8fd9\u4e2a\u4e1c\u897f\u600e\u4e48\u53ef\u91cd\u590d\u91c7\u6837\uff0c\u4f60\u4eec\u770b\u8d77\u6765\u662f\u4e2a\u5f88\u7b80\u5355\u7684\u8fc7\u7a0b\uff0c\u4f46\u4e8b\u5b9e\u4e0a\u4ece\u7edf\u8ba1\u4e0a\u6765\u8bf4\uff0c\u6982\u7387\u7edf\u8ba1\u4e0a\u7814\u7a76\u5b83\u7684\u6027\u8d28\uff0c\u5b83\u91cc\u9762\u6709\u5f88\u6df1\u523b\u7684\u4e00\u4e9b\u4e1c\u897f\uff0c\u6240\u4ee5\u4e3a\u6b64\uff0c\u751a\u81f3\u6211\u4eec\u975e\u5e38\u8457\u540d\u7684\u4e00\u4f4d\u7edf\u8ba1\u5b66\u5927\u5e08Efron\u4e3a\u6b64\u4e13\u95e8\u5199\u4e86\u4e00\u672c\u4e66\uff0c\u8fd9\u672c\u4e66\u5c31\u662f\u300aBootstrap\u300b\uff0c\u5c31\u4e13\u95e8\u5728\u8bb2\u8fd9\u4e2abootstrap\u540e\u9762\u7684\u9053\u7406\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.5 \u8c03\u53c2\u4e0e\u9a8c\u8bc1\u96c6<\/h3>\n\n\n\n<p>\u8c03\u53c2\u6570\u5462\u6211\u4eec\u8fd9\u91cc\u9762\u8981\u533a\u522b\u6709\u4e24\u4ef6\u4e8b\u513f\uff0c\u6709\u4e00\u4e2a\u53eb\u8d85\u53c2\u6570\uff0c\u6211\u4eec\u6709\u65f6\u5019\u628a\u7b97\u6cd5\u672c\u8eab\u7684\u53c2\u6570\u53eb\u8d85\u53c2\u6570\uff0c\u6a21\u578b\u7684\u53c2\u6570\u5462\u6211\u4eec\u6709\u65f6\u5019\u628a\u5b83\u53eb\u53c2\u6570\uff0c\u8fd9\u4e2a\u53c2\u6570\u662f\u8981\u7b97\u6cd5\u53bb\u5b66\u7684\uff0c\u8d85\u53c2\u6570\u5462\u662f\u4eba\u53bb\u8bbe\u7684\u3002<\/p>\n\n\n\n<p>\u6bd4\u5982\u8bf4\u6211\u4eec\u8bf4\u73b0\u5728\u6709\u4e00\u4e2a\u7b97\u6cd5\uff0c\u5c31\u662f\u7528\u591a\u9879\u5f0f\u51fd\u6570\u53bb\u903c\u8fd1\u6570\u636e\uff0c\u90a3\u5927\u5bb6\u77e5\u9053\u8fd9\u4e2a\u591a\u9879\u5f0f\u51fd\u6570\u6709\u597d\u591a\u79cd\uff0c\u7528\u8fd9\u4e48\u4e00\u4e2a\u66f2\u7ebf\u5728\u62df\u5408\u8fd9\u4e2a\u6570\u636e\u3002\u786e\u5b9a\u7684\u662fABC\uff0c\u90a3\u8fd9\u5c31\u662f\u7b97\u6cd5\u8981\u786e\u5b9a\u6a21\u578b\u7684\u53c2\u6570\uff0c\u8fd9\u4e2a\u5c31\u662f\u6211\u4eec\u76f4\u63a5\u5c31\u628a\u5b83\u53ebparameter\uff0c\u8fd9\u4e2a\u8d85\u53c2\u6570\u5c31\u662fSUPERPARAMETER\u554a\uff0c\u8d85\u53c2\u6570\u548c\u53c2\u6570\u5176\u5b9e\u672c\u8d28\u4e0a\u5b83\u90fd\u662f\u4e00\u79cd\u53c2\u6570\u554a\u3002<\/p>\n\n\n\n<p>\u6709\u65f6\u5019\u770b\u5230\u4e00\u4e2a\u8bcd\u53eb\u9a8c\u8bc1\u673a\uff0c\u53ebvalidation set\uff0c\u8fd9\u4e2a\u5c31\u662f\u4e3a\u4e86\u628a\u8fd9\u4ef6\u4e8b\u548c\u6d4b\u8bd5\u96c6\u628a\u5b83\u533a\u5206\u5f00\uff0c\u9a8c\u8bc1\u96c6\u5c31\u662f\u4e13\u95e8\u7528\u6765\u8c03\u53c2\u6570\u554a\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.6 \u6027\u80fd\u5ea6\u91cf<\/h3>\n\n\n\n<p>\u5bf9\u4e8e\u56de\u5f52\u7684\u5224\u65ad\uff0c\u8fd9\u91cc\u6709\u6ca1\u67091\/2\u65e0\u6240\u8c13\uff0c<\/p>\n\n\n\n<p>100\u4e2a\u897f\u74dc\uff0c\u9884\u6d4b\u8bf410\u4e2a\u662f\u597d\u7684\uff0c10\u4e2a\u91cc\u9762\u6709\u591a\u5c11\u662f\u771f\u7684\u597d\u7684\uff0c\u8fd9\u5c31\u662f\u67e5\u51c6\u7387\uff0c\u67e5\u5168\u7387\u5c31\u662f\u5176\u5b9e\u662f\u670920\u4e2a\u597d\u7684\uff0c\u67e5\u5168\u7387\u5c31\u662f50%\uff0c\u6211\u4eec\u8fdb\u4e00\u6b65\u66f4\u65b0\uff08\u8c03\u548c\u5e73\u5747\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.7 \u6bd4\u8f83\u68c0\u9a8c<\/h3>\n\n\n\n<p>\u5728\u67d0\u79cd\u5ea6\u91cf\u4e0b\u53d6\u5f97\u8bc4\u4f30\u7ed3\u679c\u540e\uff0c\u662f\u5426\u53ef\u4ee5\u76f4\u63a5\u6bd4\u8f83\u4ee5\u8bc4\u5224\u4f18\u52a3\uff1f NO<\/p>\n\n\n\n<p>\u56e0\u4e3a\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6d4b\u8bd5\u6027\u80fd\u4e0d\u7b49\u4e8e\u6cdb\u5316\u6027\u80fd<\/li>\n\n\n\n<li>\u6d4b\u8bd5\u6027\u80fd\u968f\u7740\u6d4b\u8bd5\u96c6\u7684\u53d8\u5316\u800c\u53d8\u5316<\/li>\n\n\n\n<li>\u5f88\u591a\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u672c\u8eab\u6709\u4e00\u5b9a\u7684\u968f\u673a\u6027<\/li>\n<\/ul>\n\n\n\n<p>\u673a\u5668\u5b66\u4e60\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u201c\u6982\u7387\u8fd1\u4f3c\u6b63\u786e\u201d<\/p>\n\n\n\n<p>\u7b2c\u4e00\u4e2a\u8bc4\u4f30\u6211\u4eec\u4f7f\u7528\u4e86\u8bef\u5dee\u3001\u9519\u8bef\u7387\u548c\u7cbe\u5ea6\uff0c\u5b83\u4eec\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u503c\u3002\u6211\u4eec\u6765\u770b\uff0c\u8fd9\u662fA\u7b97\u6cd5\uff0c\u8fd9\u662fB\u7b97\u6cd5\u3002\u5728\u8fdb\u884c\u4ea4\u53c9\u9a8c\u8bc1\u65f6\uff0c\u6211\u4eec\u5b9e\u9645\u505a\u4e86\u591a\u6b21\u5b9e\u9a8c\uff0c\u5176\u4e2dA\u6709\u4e00\u4e2a\u57fa\u7ebfA1\uff0cB\u4e5f\u6709\u4e00\u4e2a\u57fa\u7ebfB1\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002\u5982\u679c\u8fd9\u4e24\u4e2a\u7b97\u6cd5\u6ca1\u6709\u663e\u8457\u533a\u522b\uff0c\u672c\u8d28\u4e0a\u662f\u4e00\u56de\u4e8b\uff0c\u90a3\u4e48\u5b83\u4eec\u7684\u8bef\u5dee\u5e94\u8be5\u662f\u4e00\u6837\u7684\uff0c\u53ef\u4ee5\u901a\u8fc7\u505a\u51cf\u6cd5\u5f97\u5230\u4e00\u4e2a\u503c\uff0c\u6211\u4eec\u968f\u610f\u52a0\u4e00\u4e2a\u5b57\u6bcd\u53eb\u897f\u683c\u739b\u3002\u8fd9\u6837\uff0c\u4f60\u53ef\u4ee5\u5047\u8bbe\u5f97\u5230\u5341\u4e2a\u897f\u683c\u739b\uff0c\u8fd9\u5341\u4e2a\u503c\u5e94\u8be5\u7b26\u5408\u96f6\u5747\u503c\u5206\u5e03\uff0c\u56e0\u4e3a\u4e24\u4e2a\u7b97\u6cd5\u6548\u679c\u76f8\u540c\u3002\u8fd9\u4e2a\u96f6\u5747\u503c\u5206\u5e03\u5de6\u53f3\u53ef\u80fd\u6709\u4e00\u70b9\u6d6e\u52a8\uff0c\u6bd4\u5982\u505a\u5341\u6b21\u6070\u597d\u6709\u4e94\u6b21A\u6bd4B\u597d\uff0c\u4e94\u6b21B\u6bd4A\u597d\uff0c\u4e14\u6bcf\u6b21\u5dee\u8ddd\u4e0d\u5927\uff0c\u4e00\u6b21\u597d0.1\uff0c\u53e6\u4e00\u6b21\u597d0.09\u3002\u8fd9\u610f\u5473\u7740\u4e24\u8005\u6ca1\u6709\u663e\u8457\u5dee\u5f02\u3002\u901a\u8fc7\u8ba1\u7b97\u8fd9\u4e9b\u503c\u7684\u5747\u503c\u52a0\u4e0a\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u5224\u65ad\u662f\u5426\u5c5e\u4e8e\u8be5\u5206\u5e03\uff0c\u8fd9\u79cd\u68c0\u9a8c\u65b9\u6cd5\u5728\u6570\u7406\u7edf\u8ba1\u4e2d\u88ab\u79f0\u4e3a\u6210\u5bf9T\u68c0\u9a8c\u6216Student t\u68c0\u9a8c\u3002<\/p>\n\n\n\n<p>\u90a3\u4e48\u521a\u624d\u6211\u4eec\u8bb2\u7684\u8fd9\u4e2a\u662f\u57fa\u4e8e\u4e00\u4e2a\u503c\u7684\uff0c\u4f60\u57fa\u4e8e\u4e00\u4e2a\u503c\u5c31\u8bef\u5dee\u5bf9\u5427\uff0c\u90a3\u6211\u4eec\u524d\u9762\u5728\u8bc4\u4f30\u7684\u65f6\u5019\u4e0d\u8fd8\u6709\u78b0\u5230\u4e24\u4e2a\u503c\u7684\u5417\uff0c\u5443\u6211\u4eec\u5f97\u5230\u4e00\u4e2a\u8868\uff0c\u6211\u4eec\u5f97\u5230\u4e00\u4e2a\u8868\uff0c\u8fd9\u8fb9\u662ftrue positive\u5bf9\u5427\uff0c\u90a3\u5b9e\u9645\u4e0a\u4f60\u5982\u679c\u628a\u5b83\u5f53\u6210\u4e24\u4e2a\u7b97\u6cd5\u5462\uff0c\u8fd9\u7b97\u6cd5\u4e00\u662f\u7b97\u6cd5\u4e8c\uff0c\u90a3\u5176\u5b9e\u53ef\u4ee5\u628a\u90a3\u4e2a\u8868\u5c31\u501f\u7528\u8fc7\u6765\u4e86\uff0c\u8fd9\u79cd\u53eb\u8054\u5217\u8868\uff0c\u90a3\u5b9e\u9645\u4e0a\u8fd9\u4e2a\u5730\u65b9\u5c31\u4e0d\u518d\u662f\u53ebtwo positive\u4e86\uff0c\u4ed6\u8bf4\u7684\u662f\u4ec0\u4e48\u5462\uff0c\u4e24\u4e2a\u90fd\u505a\u5bf9\u4e86\uff0c\u4f60\u8ba4\u4e3a\u662f\u5bf9\u7684\uff0c\u4ed6\u4e5f\u8ba4\u4e3a\u662f\u5bf9\u7684\uff0c\u90a3\u8fd9\u4e2a\u5462\u662f\u4f60\u8ba4\u4e3a\u662fNO\uff0c\u4ed6\u4e5f\u8ba4\u4e3a\u662fNO\uff0c\u8fd9\u4e2a\u5462\u662f\u7b2c\u4e00\u4e2a\u8ba4\u4e3a\u662fyes\uff0c\u7b2c\u4e8c\u4e2a\u8ba4\u4e3aNO\uff0c\u8fd9\u4e2a\u662f\u7b2c\u4e00\u4e2a\u8ba4\u4e3aNO\uff0c\u7b2c\u4e8c\u4e2a\u8ba4\u4e3ayes\uff0c\u4f60\u770b\u8fd9\u4e2a\u90e8\u5206\u4f60\u4eec\u662f\u4e00\u6837\u7684\uff0c\u4e0d\u4e00\u6837\u7684\u5c31\u662f\u8fd9\u4e2a\u90e8\u5206\u5bf9\u5427\uff0c\u5176\u5b9e\u8fd9\u4e24\u4e2a\u5206\u5047\u5047\u8bbe\u4e24\u4e2a\u5206\u7c7b\u7684\u8bdd\u4e0d\u4e00\u6837\u7684\u4e0d\u5c31\u8fd9\u4e2a\u90e8\u5206\u5417\uff0c\u90a3\u8fd9\u4e2a\u90e8\u5206\u6211\u4eec\u60f3\u4ec0\u4e48\u60c5\u51b5\u4e0b\u5b83\u53ef\u80fd\u5c31\u6ca1\u6709\u663e\u8457\u7684\u533a\u522b\uff0c\u4f60\u53ef\u4ee5\u60f3\u4e00\u60f3\uff0c\u5f88\u5bb9\u6613\u60f3\u5230\u8fd9\u6837\u7684\u4f8b\u5b50\uff0c\u5047\u8bbe\u6211\u4eec100\u4e2a\u6837\u672c\uff0c\u8fd9\u8fb9\u662f49\u4e2a\uff0c\u4e24\u4e2a\u90fd\u8bf4\u662fyes\uff0c49\u4e2a\uff0c\u4e24\u4e2a\u90fd\u8bf4\u662f\u6f0f\uff0c\u6709\u4e00\u4e2a\u8fd9\u4e2a\u8bf4yes\u662f\u53e6\u5916\u4e00\u4e2a\u6f0f\uff0c\u6709\u4e00\u4e2a\u8fd9\u4e2a\u8bf4yes\uff0c\u90a3\u4e2a\u6f0f\uff0c\u8fd9\u6ca1\u6709\u663e\u8457\u533a\u522b\uff0c\u90a3\u8003\u8651\u8fd9\u4e24\u8005\u7684\u5173\u7cfb\u5462\u5c31\u53ef\u4ee5\u7528\u4e00\u4e2a\u5047\u8bbe\u68c0\u9a8c\u8fd9\u4e2aMcNemar\u68c0\u9a8c\uff0c\u8fd9\u4e2amcnemar\u5c31\u662f\u628a\u8fd9\u4e2a\u5217\u8054\u8868\u8003\u8651\u51fa\u6765\u4e4b\u540e\uff0c\u5c31\u8003\u8651\u8fd9\u4e2a\u526f\u5bf9\u89d2\u7ebf\uff0c\u53cd\u5bf9\u89d2\u7ebf\u4e0a\u8fd9\u4e24\u4e2a\u70b9\uff0c\u7136\u540e\u5462\u4ed6\u540e\u9762\u57fa\u4e8e\u4e00\u4e2a\u5361\u65b9\u68c0\u9a8c\u628a\u5b83\u7528\u4e0a\u53bb\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7ebf\u6027\u6a21\u578b<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">3.1 \u7ebf\u6027\u56de\u5f52<\/h3>\n\n\n\n<p>\u7b80\u5355\u57fa\u672c\u800c\u4e14\u53ef\u7406\u89e3\u6027\u597d<\/p>\n\n\n\n<p>\u6b64\u5904\u7f3a\u5c11\u4e00\u5927\u6bb5\u89e3\u6790<\/p>\n\n\n\n<p>\u8fd9\u6837\u4e00\u4e2a\u5f0f\u5b50\uff0cf\uff08x\uff09=wx+b\uff0cw\u662fw1w2.x\u662fx1x2....\u73b0\u5728\u6211\u4eec\u7528\uff1b\u8868\u793a\u5217\u5411\u91cf\uff0c\u7528\uff0c\u8868\u793a\u884c\u5411\u91cf\u3002\u5982\u679cwb\u89e3\u51fa\u6765\u4e86\uff0c\u539f\u51fd\u6570\u5c31\u662f\u7ebf\u6027\u62df\u5408\u5c31\u786e\u5b9a\u7684<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.2 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class=\"wp-block-heading\">3.3 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class=\"wp-block-heading\">3.4 \u5e7f\u4e49\u7ebf\u6027\u6a21\u578b<\/h3>\n\n\n\n<p>\u7ebf\u6027\u6a21\u578b\u7a0d\u52a0\u4f18\u5316\u89e3\u51b3\u975e\u7ebf\u6027\u95ee\u9898\uff0c\u5176\u5b9e\u662f\u7528\u7ebf\u6027\u56de\u5f52\u6765\u903c\u8fd1\u5bf9\u6570\u7684\u76ee\u6807<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.5 \u5bf9\u7387\u56de\u5f52<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">3.6 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684\u8bdd\uff0c\u5b9e\u9645\u4e0a\u4f60\u8ba9\u566a\u58f0\u7684\u5f71\u54cd\u52a0\u500d\u4e86\uff0c\u751a\u81f3\u52a0\u51e0\u500d\u4e86\uff0c\u90a3\u6240\u4ee5\u6700\u8457\u540d\u7684\u4e00\u79cd\u505a\u6cd5\u53ebSMOTE\uff0c\u8fd9\u4e2a\u662fChawla\u63d0\u51fa\u6765\u7684\uff0c\u4f60\u770b\u4ed6\u7684\u540d\u5b57\u5c31\u77e5\u9053\u662f\u4e2a\u5370\u5ea6\u4eba\uff0c\u4f46\u662f\u662f\u4f4d\u7f8e\u56fd\u5b66\u8005\u554a\uff0c\u5728\u8fd9\u4e2a\u5723\u6bcd\u5927\u5b66\u505a\u6559\u6388\uff0c\u4ed6\u4e5f\u5230\u5357\u5927\u6765\u8bbf\u95ee\u8fc7\u51e0\u6b21\u554a\uff0c\u6709\u4e00\u6bb5\u65f6\u95f4\u7ecf\u5e38\u6765\u554a\uff0c\u6211\u4eec\u4e5f\u53bb\u8fc7\uff0c\u90a3\u8fd9\u4e2aSMOTE\u600e\u4e48\u505a\u5462\uff0c\u8fd9\u4e2a\u662f\u4ed6\u6700\u8457\u540d\u7684\u5de5\u4f5c\uff0c\u6211\u4eec\u5728\u4e2d\u95f4\u63d2\u503c\uff0c\u8fd9\u5c31\u591a\u4e86\u4e00\u4e2a\u70b9\u4e86\uff0c\u5982\u679c\u4f60\u6709\u5f88\u591a\u522b\u7684\u6837\u672c\uff0c\u4f60\u53ef\u4ee5\u518d\u63d2\uff0c\u90a3\u53ef\u4ee5\u67e5\u51fa\u5f88\u591a\u6837\u672c\u6765\uff0c\u8fd9\u5c31\u662fSMOTE\u7684\u57fa\u672c\u7684\u60f3\u6cd5\uff0c\u7136\u540e\u4f60\u8fd9\u4e2a\u51e0\u4e2a\u6211\u8bb2\u4e24\u4e2a\u7684\u8bdd\uff0c\u6211\u5c31\u8fd9\u6837\u5dee\u4e00\u4e2a\uff0c\u8fd9\u518d\u5dee\u4e00\u4e2a\u5c31\u53d8\u6210\u56db\u4e2a\u4e86\u554a\uff0c\u5982\u679c\u66f4\u591a\u4e86\uff0c\u6211\u8fd8\u6709\u522b\u7684\u63d2\u503c\u7684\u529e\u6cd5\uff0c\u8fd9\u5c31\u662f\u8fc7\u91c7\u6837\uff0c\u4f60\u4e0d\u80fd\u5b8c\u5168\u7684copy\uff0c\u4f60\u53ef\u4ee5\u5728\u5df2\u7ecf\u6709\u7684\u6570\u636e\u4e0a\u7a0d\u5fae\u52a0\u70b9\u53d8\u5316\u554a\uff0c\u8fd9\u6837\u5462\u5c31\u4f1a\u597d\u5f88\u591a\uff0c\u8fd9\u4e2a\u505a\u6cd5\u57fa\u672c\u4e0a\u662f\u73b0\u5728\u5904\u7406\u4e0d\u5e73\u8861\u95ee\u9898\uff0c\u8fc7\u91c7\u6837\u91cc\u9762\u7684\u6700\u7ecf\u5178\u7684\u505a\u6cd5\uff0c\u800c\u4e14\u4f60\u4eec\u5728\u5927\u591a\u6570\u7684\u5de5\u5177\u5305\u91cc\u9762\u90fd\u80fd\u770b\u5230\u5b83\uff0c\u6b20\u91c7\u6837\uff0c\u987e\u540d\u601d\u4e49\uff0c\u6b20\u91c7\u6837\u8981\u505a\u7684\u5462\uff0c\u5c31\u662f\u6211\u4eec\u8981\u4e22\u6389\u4e00\u4e9b\u5927\u7c7b\u7684\u6837\u672c\uff0c\u90a3\u6211\u4eec\u80fd\u4e0d\u80fd\u968f\u673a\u4e22\u6389\u4e00\u4e9b\u5462\uff0c\u65e9\u671f\u6709\u8fd9\u6837\u7684\u505a\u6cd5\uff0c\u4f46\u662f\u8fd9\u4e2a\u505a\u6cd5\u4f1a\u5e26\u6765\u4e00\u4e2a\u5f88\u5927\u7684\u95ee\u9898\uff0c\u56e0\u4e3a\u4f60\u4e0d\u77e5\u9053\u4f60\u4e22\u6389\u7684\u662f\u4e0d\u662f\u5173\u952e\u7684\u4e1c\u897f\uff0c\u6bd4\u65b9\u8bf4\u5982\u679c\u6211\u4eec\u8fd9\u4e2a\u5206\u7c7b\u672c\u6765\u662f\u8fd9\u4e2a\u6837\u5b50\u7684\uff0c\u5176\u5b9e\u4f60\u8fd9\u4e2a\u5206\u7c7b\u8fb9\u754c\u4f1a\u662f\u8fd9\u6837\uff0c\u4f46\u662f\u4e00\u65e6\u4f60\u628a\u8fd9\u4e2a\u4e1c\u897f\u4e22\u6389\u4e86\uff0c\u5b83\u7684\u5206\u7c7b\u8fb9\u754c\u9a6c\u4e0a\u53ef\u80fd\u4f1a\u6709\u4e00\u4e2a\u975e\u5e38\u663e\u8457\u7684\u53d8\u5316\uff0c\u6240\u4ee5\u968f\u4fbf\u4e22\u662f\u4e0d\u592a\u597d\u7684\uff0c\u56e0\u4e3a\u4f60\u4e0d\u77e5\u9053\u4f60\u662f\u4e0d\u662f\u628a\u5173\u952e\u7684\u5927\u7c7b\u6837\u672c\u4e22\u6389\u4e86\uff0c\u6240\u4ee5\u6709\u4e00\u4e2a\u5f88\u91cd\u8981\u7684\u505a\u6cd5\u53ebEasyEnsemble\uff0c\u8fd9\u4e2a\u662f\u6211\u4eec\u7ec4\u505a\u51fa\u6765\u7684\u554a\uff0c\u4e5f\u662f\u5f88\u591a\u5730\u65b9\u5728\u7528\uff0c\u4f46\u8fd9\u4e2a\u505a\u6cd5\u662f\u4ec0\u4e48\u5462\uff0c\u5b83\u662f\u4e2a\u96c6\u6210\u5b66\u4e60\u7684\u65f6\u5019\uff0c\u6211\u4eec\u505a\u5f88\u591a\u7684\u6a21\u578b\uff0c\u6bd4\u5982\u8bf4\u4f60\u8fd9\u4e2a\u5c0f\u7c7b\u554a\uff0c\u603b\u5171\u53ea\u6709\u4e09\u4e2a\uff0c\u6211\u6bcf\u6b21\u5c31\u4ece\u8fd9\u4e2a\u5927\u7c7b\u91cc\u9762\u627e\u4e09\u4e2a\u505a\u4e00\u4e2a\u6a21\u578b\uff0c\u8fd9\u662f\u4e09\u5bf9\u4e09\uff0c\u8fd9\u4e2a\u6a21\u578b\u4e00\uff0c\u7136\u540e\u4e0b\u6b21\u6211\u518d\u627e\u4e09\u4e2a\u8fd9\u4e09\u5bf9\u4e09\uff0c\u8fd9\u662f\u6a21\u578b\u4e8c\uff0c\u6bcf\u4e00\u4e2a\u8fd9\u6837\u7684\u5b50\u6a21\u578b\u5b83\u90fd\u662f\u5747\u8861\u7684\uff0c\u4f46\u662f\u901a\u8fc7\u505a\u5f88\u591a\u4e2a\u8fd9\u4e2a\u4e4b\u540e\u5462\uff0c\u6211\u4eec\u6700\u540e\u7528\u4e00\u4e2a\u6295\u7968\u529e\u6cd5\u7ed3\u5408\u8d77\u6765\uff0c\u90a3\u91cc\u9762\u6bcf\u4e00\u4e2a\u90fd\u662f\u5747\u8861\u7684\uff0c\u90a3\u8fd9\u4e2a\u505a\u6cd5\u5462\u5c31\u907f\u514d\u4e86\u4f60\u53ef\u80fd\u5f88\u6709\u4ef7\u503c\u7684\u5927\u7c7b\u88ab\u9519\u8bef\u7684\u4e22\u6389\uff0c\u800c\u4e14\u53cd\u8fc7\u6765\u8fd9\u4e2a\u8fd8\u5229\u7528\u5230\u4ee5\u540e\uff0c\u6211\u4eec\u4f1a\u8bb2\u5230\u8fd9\u4e2a\u96c6\u6210\u5b66\u4e60\u7684\u597d\u5904\uff0c\u53cd\u800c\u8fd8\u4f7f\u5f97\u7cbe\u5ea6\u80fd\u591f\u63d0\u5f97\u66f4\u9ad8\u3002<\/p>\n\n\n\n<p>\u5e38\u89c1\u7c7b\u522b\u4e0d\u5e73\u8861\u5b66\u4e60\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8fc7\u91c7\u6837(oversampling) \u4f8b\u5982\uff1aSMOTE<\/li>\n\n\n\n<li>\u6b20\u91c7\u6837(undersampling) \u4f8b\u5982\uff1aEasyEnsemble<\/li>\n\n\n\n<li>\u9608\u503c\u79fb\u52a8(threshold-moving)\u00a0<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><a><\/a>\u51b3\u7b56\u6811<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">4.1 \u51b3\u7b56\u6811\u57fa\u672c\u6d41\u7a0b<\/h3>\n\n\n\n<p>\u7b56\u7565\uff1a\u201c\u5206\u800c\u6cbb\u4e4b\u201d(divide-and-conquer)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; \u81ea\u6839\u81f3\u53f6\u7684\u9012\u5f52\u8fc7\u7a0b<br>\u5728\u6bcf\u4e2a\u4e2d\u95f4\u7ed3\u70b9\u5bfb\u627e\u4e00\u4e2a\u201c\u5212\u5206\u201d\uff08split or test\uff09\u5c5e\u6027<\/p>\n\n\n\n<p>\u4e09\u79cd\u505c\u6b62\u6761\u4ef6\uff1a<br>\uff081\uff09\u5f53\u524d\u7ed3\u70b9\u5305\u542b\u7684\u6837\u672c\u5168\u5c5e\u4e8e\u540c\u4e00\u7c7b\u522b\uff0c\u65e0\u9700\u5212\u5206\uff1b<br>\uff082\uff09\u5f53\u524d\u5c5e\u6027\u96c6\u4e3a\u7a7a\uff0c\u6216\u662f\u6240\u6709\u6837\u672c\u5728\u6240\u6709\u5c5e\u6027\u4e0a\u53d6\u503c\u76f8\u540c\uff0c\u65e0\u6cd5\u5212\u5206\uff1b&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; \uff083\uff09\u5f53\u524d\u7ed3\u70b9\u5305\u542b\u7684\u6837\u672c\u96c6\u5408\u4e3a\u7a7a\uff0c\u4e0d\u80fd\u5212\u5206.<\/p>\n\n\n\n<p>\u8fd9\u4e2a\u8282\u70b9\uff0c\u7b2c\u4e00\u79cd\u72b6\u6001\u91cc\u9762\u5982\u679c\u5168\u662f\u540c\u7c7b\u7684\u6837\u672c\u4e86\uff0c\u6211\u4e0d\u7528\u5f80\u4e0b\u5206\u4e86\uff0c\u8fd9\u662f\u7b2c\u4e00\u79cd\u72b6\u6001\u662f\u5427\uff1b\u7b2c\u4e8c\u79cd\u72b6\u6001\u4f60\u867d\u7136\u8fd8\u6709\u4e0d\u540c\u7c7b\u7684\uff0c\u4f46\u662f\u6211\u5df2\u7ecf\u6ca1\u6709\u66f4\u591a\u7684\u5c5e\u6027\u6765\u7528\u4e86\uff0c\u8fd9\u662f\u4ec0\u4e48\u610f\u601d\u5462\uff0c\u4f60\u770b\u6211\u4eec\u8fd9\u4e2a\u51b3\u7b56\u6811\u554a\uff0c\u662f\u4e0d\u65ad\u7684\u4ece\u4e0a\u5f80\u4e0b\u8d70\u4e0b\u6765\u7684\uff0c\u5047\u8bbe\u6211\u4eec\u73b0\u5728\u5c31\u8003\u8651\u8fd9\u4e2a\u51b3\u7b56\u6811\u5c31\u6709\u4e24\u4e2a\u5c5e\u6027\uff0c\u4e00\u4e2a\u662f\u989c\u8272\uff0c\u4e00\u4e2a\u662f\u6572\u7684\u58f0\u97f3\uff0c\u6211\u73b0\u5728\u73b0\u5728\u5224\u65ad\u4e86\uff0c\u8bf4\u989c\u8272\u662f\u4e0d\u662f\u9752\u7eff\u8272\u7684\uff0c\u4f60\u8bf4yes\uff0c\u4e0b\u6765\uff0c\u6211\u8bf4\u6572\u7684\u58f0\u97f3\u662f\u4e0d\u662f\u6d51\u6d4a\u7684\uff0c\u4f60\u8bf4yes\uff0c\u4e0b\u6765\u5230\u4e86\u8fd9\u513f\u8fd8\u662f\u6ca1\u6709\u5168\u5206\u5f00\uff0c\u8fd9\u65f6\u5019\u6211\u6ca1\u6709\u529e\u6cd5\u518d\u5f80\u4e0b\u505a\uff0c\u96be\u9053\u6211\u518d\u95ee\u4e00\u4e0b\u989c\u8272\u662f\u4ec0\u4e48\uff0c\u90a3\u90a3\u8d70\u5230\u8fd9\u513f\u7684\u989c\u8272\u90fd\u662f\u9752\u7eff\u8272\u7684\uff0c\u6211\u518d\u95ee\u4e00\u4e0b\u58f0\u97f3\uff0c\u8d70\u5230\u8fd9\u513f\u7684\u58f0\u97f3\u90fd\u662f\u6d51\u6d4a\u7684\uff0c\u6ca1\u6709\u529e\u6cd5\u5f80\u4e0b\u505a\uff0c\u6240\u4ee5\u6211\u5fc5\u987b\u505c\uff0c\u8fd9\u4e5f\u5c31\u662f\u8bf4\u5c5e\u6027\u6781\u4e3a\u7a7a\u4e86\uff0c\u6216\u8005\u5728\u5269\u4e0b\u7684\u5c5e\u6027\u4e0a\uff0c\u5b83\u7684\u53d6\u503c\u90fd\u4e00\u6837\u4e86\uff0c\u4e5f\u8bb8\u4f60\u8fd8\u6709\u5c5e\u6027\uff0c\u6bd4\u5982\u8bf4\u8fd9\u4e2a\u662f\u989c\u8272\uff0c\u8fd9\u4e2a\u662f\u58f0\u97f3\uff0c\u8fd9\u8fb9\u662f\u4ec0\u4e48\u8015\u5730\u554a\u4e4b\u7c7b\uff0c\u4f46\u662f\u8fd9\u51e0\u4e2a\u6837\u672c\u5462\uff0c\u524d\u9762\u8fd9\u4e2a\u5212\u5206\u4e4b\u540e\uff0c\u540e\u9762\u7684\u8fd9\u4e2a\u5b83\u53d6\u503c\u5b8c\u5168\u662f\u4e00\u6837\u7684\uff0c\u4e5f\u6ca1\u529e\u6cd5\u5f80\u4e0b\u5206\u4e86\uff0c\u6240\u4ee5\u8fd9\u65f6\u5019\u6211\u5fc5\u987b\u505c\u6b62\u660e\u767d\u5427\uff0c\u5c5e\u6027\u4e0d\u591f\u7528\u4e86\u3002<\/p>\n\n\n\n<p>\u8fd8\u6709\u4e00\u79cd\u60c5\u51b5\uff0c\u5f53\u524d\u8282\u70b9\u5305\u542b\u7684\u6837\u672c\u96c6\u5408\u4e3a\u7a7a\uff0c\u8fd9\u4f1a\u4ec0\u4e48\u60c5\u51b5\u5462\uff0c\u4f60\u770b\u554a\uff0c\u6211\u4eec\u5047\u8bbe\u7528\u989c\u8272\u6765\u5212\u5206\uff0c\u989c\u8272\u662f\u9752\u7eff\u8272\u7684\uff0c\u5f80\u5de6\u8d70\uff0c\u989c\u8272\u662f\u6d45\u767d\u8272\u7684\uff0c\u5f80\u53f3\u8d70\uff0c\u989c\u8272\u662f\u9ed1\u8272\u7684\uff0c\u9ed1\u8272\u7684\u5f80\u53f3\u8d70\uff0c\u6d45\u767d\u8272\u7684\u5f80\u4e2d\u95f4\u8d70\uff0c\u4f46\u662f\u5f88\u9057\u61be\uff0c\u6211\u62ff\u5230\u7684<a href=\"https:\/\/so.csdn.net\/so\/search?q=%E8%AE%AD%E7%BB%83%E6%95%B0%E6%8D%AE%E9%9B%86&amp;spm=1001.2101.3001.7020\" target=\"_blank\" rel=\"noreferrer noopener\" rel=\"nofollow\" >\u8bad\u7ec3\u6570\u636e\u96c6<\/a>\u91cc\u9762\uff0c\u5c31\u6ca1\u6709\u51fa\u73b0\u8fc7\u6d45\u767d\u8272\u7684\u897f\u74dc\uff0c\u90a3\u6309\u7167\u5c5e\u6027\u6765\u8bf4\uff0c\u5b83\u6709\u53ef\u80fd\u53d6\u8fd9\u79cd\u5c5e\u6027\u7684\uff0c\u4f46\u662f\u6211\u8bad\u7ec3\u96c6\u91cc\u9762\u5c31\u6ca1\u6709\u8fd9\u6837\u7684\u6570\u636e\uff0c\u6240\u4ee5\u8fd9\u4e2a\u6570\u636e\u96c6\u662f\u7a7a\uff0c\u8fd9\u65f6\u5019\u6211\u4e5f\u8981\u505c\u6b62\uff0c\u90a3\u4e0b\u9762\u6211\u4eec\u5c31\u65e0\u5916\u4e4e\u8981\u5bf9\u8fd9\u4e09\u79cd\u60c5\u51b5\u505a\u5904\u7406\uff0c\u7b2c\u4e00\u79cd\u60c5\u51b5\uff0c\u5982\u679c\u6240\u6709\u7684\u90fd\u540c\u7c7b\uff0c\u90a3\u5f88\u7b80\u5355\uff0c\u5b83\u662f\u4e2a\u53f6\u8282\u70b9\uff0c\u4f60\u5168\u662f\u9635\u5185\uff0c\u5c31\u662f\u6b63\u5185\uff0c\u5168\u662f\u7236\u7c7b\uff0c\u5c31\u662f\u7236\u7c7b\u5bf9\u5427\uff0c\u7b2c\u4e8c\u79cd\u60c5\u51b5\uff0c\u6211\u5230\u8fd9\u79cd\u60c5\u51b5\uff0c\u6211\u5c5e\u6027\u6ca1\u6709\u4e86\uff0c\u6ca1\u6cd5\u5f80\u4e0b\u5206\u4e86\uff0c\u8fd9\u65f6\u5019\u6211\u8be5\u628a\u8fd9\u4e9b\u8282\u70b9\u5f53\u505a\u4ec0\u4e48\u5462\uff0c\u5f88\u7b80\u5355\uff0c\u4f60\u8c01\u591a\u6211\u5c31\u5f53\u505a\u8c01\uff0c\u4f60\u8fd9\u4e2a\u591a\u6211\u5c31\u5f53\u505a\u662f\u6b63\u7c7b\uff0c\u90a3\u8fd9\u79cd\u60c5\u51b5\u600e\u4e48\u529e\u5462\uff0c\u4f60\u8fd9\u662f\u7a7a\u7684\uff0c\u4f60\u7684\u8fd9\u4e2a\u7236\u8282\u70b9\u8c01\u591a\uff0c\u6211\u5c31\u5f53\u4f5c\u662f\u8c01\uff0c\u8fd9\u662f\u6700\u7b80\u5355\u7684\u64cd\u4f5c\u4e86\u5427\uff0c\u56e0\u4e3a\u6211\u662f\u4ece\u7236\u8282\u70b9\u4e0b\u6765\u7684\u561b\uff0c\u6211\u6ca1\u6709\u6837\u672c\uff0c\u4f46\u662f\u6211\u7236\u8282\u70b9\u662f\u6709\u7684\uff0c\u90a3\u7236\u8282\u70b9\u8c01\u591a\uff0c\u6211\u5c31\u5f53\u505a\u662f\u8c01\uff0c\u6240\u4ee5\u8fd9\u4e24\u4e2a\u64cd\u4f5c\u5b9e\u9645\u4e0a\u662f\u4ec0\u4e48\u5462\uff0c\u8fd9\u4e2a\u4e0d\u7528\u8bf4\u4e86\uff0c\u8fd9\u4e2a\u5b9e\u9645\u4e0a\u662f\u6211\u4eec\u89c2\u5bdf\u5230\u6570\u636e\uff0c\u5b83\u662f\u4ee5\u5b83\u7684\u540e\u9a8c\u6982\u7387\u505a\u4e00\u4e2a\u5212\u5206\uff0c\u800c\u8fd9\u4e2a\u5462\u662f\u6211\u4eec\u628a\u7236\u8282\u70b9\u7684\u6982\u7387\u5f53\u505a\u4e86\u6211\u4ee5\u540e\u6837\u672c\u53ef\u80fd\u6765\u7684\u4e00\u4e2a\u5148\u9a8c\u6982\u7387\uff0c\u57fa\u4e8e\u4ed6\u5728\u505a\u4e00\u4e2a\u5212\u5206\uff0c\u8fd9\u4e2a\u9053\u7406\u5f88\u7b80\u5355\u662f\u5427\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4.2 \u4fe1\u606f\u589e\u76ca\u5212\u5206<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">4.3 \u5176\u4ed6\u5c5e\u6027\u5212\u5206\u51c6\u5219<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">4.4 \u51b3\u7b56\u6811\u7684\u526a\u679d<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">4.5 \u9884\u526a\u679d\u4e0e\u540e\u526a\u679d<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">4.6 \u7f3a\u5931\u503c\u7684\u5904\u7406<\/h3>\n\n\n\n<h2 class=\"wp-block-heading\"><a><\/a>\u652f\u6301\u5411\u91cf\u673a<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">5.1 \u652f\u6301\u5411\u91cf\u673a\u57fa\u672c\u578b<\/h3>\n\n\n\n<p>\u4e2d\u95f4\u90a3\u6761\u7ebf\u662f\u8d85\u5e73\u9762\uff0c\u4e0b\u9762\u90a3\u8fb9\u662f\u8d1f\u7684\uff0c\u4e0a\u9762\u662f\u6b63\u7684\uff0c\u6700\u5173\u952e\u662f\u627e\u5230\u90a3\u51e0\u4e2a\u6709\u5708\u7684\u6837\u672c\u6765\uff0c\u8981\u548c\u4e24\u4e2a\u7684\u5728\u4e2d\u95f4\uff0c\u8ddd\u79bb\u90fd\u8981\u6700\u5927\u3002\u5982\u679c\u8bf4\u628a\u6b63\u4f8b\u548c\u8d1f\u4f8b\u7684\u8ddd\u79bb\u90fd\u53d8\u62101\u5c31\u53d8\u6210\u4e862\/w\u7684\u8d85\u5e73\u9762\u76f8\u5bf9\u4e8e\u6570\u636e\u96c6\u7684\u95f4\u9694\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.2 \u5bf9\u5076\u95ee\u9898\u4e0e\u89e3\u7684\u7279\u6027<\/h3>\n\n\n\n<p>\u5bf9\u5076\u95ee\u9898\u7684\u5f97\u5230\u7684\u662f\u539f\u6765\u76ee\u6807\u51fd\u6570\u7684\u4e0b\u754c\uff0c\u5e0c\u671b\u539f\u51fd\u6570\u6700\u597d\uff0c\u6240\u4ee5\u6c42\u4e00\u4e2a\u6781\u5927<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.3 \u6c42\u89e3\u65b9\u6cd5<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">5.4 \u7279\u5f81\u7a7a\u95f4\u6620\u5c04<\/h3>\n\n\n\n<p>\u5982\u679c\u9047\u5230\u4e0d\u660e\u663e\u6216\u590d\u6742\u7684\u56fe\u96be\u4ee5\u5206\u5272\uff0c\u82e5\u4e0d\u5b58\u5728\u4e00\u4e2a\u80fd\u6b63\u786e\u5212\u5206\u4e24\u7c7b\u6837\u672c\u7684\u8d85\u5e73\u9762\uff0c\u600e\u4e48\u529e\uff1f<br>\u6211\u4eec\u91c7\u7528\u5c06\u6837\u672c\u4ece\u539f\u59cb\u7a7a\u95f4\u6620\u5c04\u5230\u4e00\u4e2a\u66f4\u9ad8\u7ef4\u7684\u7279\u5f81\u7a7a\u95f4\uff0c\u4f7f\u6837\u672c\u5728\u8fd9\u4e2a\u7279\u5f81\u7a7a\u95f4\u5185\u7ebf\u6027\u53ef\u5206<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.5 \u6838\u51fd\u6570<\/h3>\n\n\n\n<p>\u5728\u4f4e\u7ef4\u7a7a\u95f4\u4e2d\u8f93\u5165\uff0c\u5904\u7406\u7684\u7ed3\u679c\u6070\u6070\u7b49\u4e8e\u9ad8\u7ef4\u7a7a\u95f4\u4e24\u5411\u91cf\u7684\u79ef\uff0c\u90a3\u4e48k\u600e\u4e48\u627e\uff1f<\/p>\n\n\n\n<p>\u5c06\u6c42\u9ad8\u5411\u91cf\u884c\u4e3a\u70b9\u79ef\u8f6c\u5316\u4e3a\u5728\u4f4e\u7ef4\u7a7a\u95f4\u4e2d\u6c42\u6838\u51fd\u6570\u7684\u503c\uff1b\u5176\u4e2d\u51fd\u6570\u8d77\u5230\u4e00\u4e2a\u7a7a\u95f4\u7684\u53d8\u5316<\/p>\n\n\n\n<p>\u5728\u751a\u9ad8\u7ef4\u7a7a\u95f4\u53d8\u6210<img decoding=\"async\" alt=\"\\delta (xi) and\\delta (xj)\" src=\"https:\/\/latex.csdn.net\/eq?%5Cdelta%20%28xi%29%20and%5Cdelta%20%28xj%29\">,\u8fd9\u5c31\u662f\u51fd\u6570fai\u505a\u7684\u4e8b\u60c5\uff1b\u518d\u5b9a\u4e49xl\u7684\u70b9\uff0c\u53ef\u80fd\u5c31\u8dd1\u5230x\u8f74\u4e0a\u53bb\u4e86\u3002\u5982\u679c\u8ddd\u79bb\u77e9\u9635\u53ef\u4ee5\u4e3a0\uff0c\u5bf9\u5e94\u4e0a\u9762\u8fd9\u6837\u4e00\u4e2a\u7a7a\u95f4\u90a3\u4e48\u6070\u6070\u80fd\u591f\u79f0\u4e3a\u6838\u51fd\u6570<\/p>\n\n\n\n<p>\u4efb\u4f55\u4e00\u4e2a\u6838\u51fd\u6570\uff0c\u90fd\u9690\u5f0f\u5730\u5b9a\u4e49\u4e86\u4e00\u4e2aRKHS(Reproducing Kernel Hilbert Space\uff0c\u518d\u751f\u6838\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\uff09<br><strong>\u201c\u6838\u51fd\u6570\u9009\u62e9\u201d\u6210\u4e3a\u51b3\u5b9a\u652f\u6301\u5411\u91cf\u673a\u6027\u80fd\u7684\u5173\u952e\uff01<\/strong><br>\u7f3a\u5c116\u5206\u949f\u8bb2\u89e3&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.6 \u8f6f\u95f4\u9694SVM<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">5.7 \u6b63\u5219\u5316<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">5.8 \u5982\u4f55\u4f7f\u7528SVM\uff1f<\/h3>\n\n\n\n<h2 class=\"wp-block-heading\"><a><\/a>\u795e\u7ecf\u7f51\u7edc<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">6.1 \u795e\u7ecf\u7f51\u7edc\u6a21\u578b<\/h3>\n\n\n\n<p>\"\u795e\u7ecf\u7f51\u7edc\u662f\u7531\u5177\u6709\u9002\u5e94\u6027\u7684\u7b80\u5355\u5355\u5143\u7ec4\u6210\u7684\u5e7f\u6cdb\u5e76\u884c\u4e92\u8fde\u7684\u7f51\u7edc\uff0c\u5b83\u7684\u7ec4\u7ec7\u80fd\u591f\u6a21\u62df\u751f\u7269\u795e\u7ecf\u7cfb\u7edf\u5bf9\u771f\u5b9e\u4e16\u754c\u7269\u4f53\u6240\u4f5c\u51fa\u7684\u4ea4\u4e92\u53cd\u5e94\"[T. Kohonen, 1988, Neural Networks \u521b\u520a\u53f7]<\/p>\n\n\n\n<p>\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u4e2a\u5f88\u5927\u7684\u5b66\u79d1\u9886\u57df\uff0c\u672c\u8bfe\u7a0b\u4ec5\u8ba8\u8bba\u795e\u7ecf\u7f51\u7edc\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u4ea4\u96c6\uff0c\u5373\u201c\u795e\u7ecf\u7f51\u7edc\u5b66\u4e60\u201d\u4ea6\u79f0\u201c\u8fde\u63a5\u4e3b\u4e49\uff08connectionism\uff09\u201d\u5b66\u4e60<\/p>\n\n\n\n<p>\u90a3\u7b2c\u4e00\u70b9\u6211\u4eec\u6765\u770b\u770b\u795e\u7ecf\u5143\u6a21\u578b\uff0c\u8fd9\u5c31\u662f\u7b80\u5355\u5355\u5143\uff0c\u6240\u8c13\u7684\u8fd9\u4e2a\u7b80\u5355\u5355\u5143\uff0c\u5230\u73b0\u5728\u4e3a\u6b62\uff0c\u6211\u4eec\u7528\u5230\u7684\u6700\u591a\u7684\u795e\u7ecf\u5143\u6a21\u578b\u8fd8\u662f\u57281943\u5e74\uff0c\u8fd9\u4e2a\u829d\u52a0\u54e5\u5927\u5b66\u7684\u8fd9\u4e24\u4e2a\u4ebaMICHAEL\u548cPitts\u63d0\u51fa\u7684\u6a21\u578b\u4e00\u76f4\u6cbf\u7528\u81f3\u4eca\uff0c\u54ea\u6015\u4eca\u5929\u6df1\u5ea6\u5b66\u4e60\u8fd9\u4e48\u7ea2\u7684\u5e74\u4ee3\u91cc\u9762\uff0c\u6211\u4eec\u7528\u7684\u6700\u591a\u7684\u8fd8\u662f\u8fd9\u4e2a\u6a21\u578b\uff0c\u90a3\u8fd9\u4e2a\u6a21\u578b\u975e\u5e38\u7b80\u5355\uff0c\u5b83\u523b\u753b\u7684\u662f\u4e00\u4e2a\u4ec0\u4e48\u73b0\u8c61\u5462\uff1f\u6211\u4eec\u5728\u751f\u7269\u795e\u7ecf\u7cfb\u7edf\u91cc\u9762\u6709\u8fd9\u4e48\u4e00\u4e2a\u73b0\u8c61\uff0c\u4e00\u4e2a\u795e\u7ecf\u7ec6\u80de\u5b83\u4f1a\u63a5\u6536\u5230\u6765\u81ea\u5176\u4ed6\u7ec6\u80de\u7684\u4fe1\u53f7\uff0c\u800c\u8fd9\u4e2a\u4fe1\u53f7\u901a\u8fc7\u8fd9\u4e2a\u8fde\u63a5\u7a81\u89e6\u589e\u5f3a\u5230\u8fbe\u6211\u8fd9\u4e2a\u7ec6\u80de\uff0c\u5b83\u4f20\u8fc7\u6765\u7684\u5176\u5b9e\u662f\u4e00\u79cd\u7535\u4f4d\uff0c\u5f53\u5230\u6211\u8fd9\u513f\u7684\u7d2f\u79ef\u7535\u4f4d\u9ad8\u4e8e\u4e00\u4e2a\u9608\u503c\uff0c\u6211\u5c31\u6fc0\u6d3b\u4e86\uff0c\u5f80\u5916\u4f20\u51fa\u4e00\u4e2a\u4fe1\u53f7\uff0c\u6240\u4ee5\u4f60\u770b\u73b0\u5728\u6211\u4eec\u628a\u8fd9\u4e2a\u82b1\u5f53\u505a\u4e00\u4e2a\u7ec6\u80de\uff0c\u4ece\u5f88\u591a\u522b\u7684\u5730\u65b9\u4f20\u8fc7\u6765\uff0cX\u8fd9\u5c31\u662f\u522b\u7684\u7ec6\u80de\u7ed9\u5b83\u63d0\u4f9b\u7684\u4fe1\u53f7\uff0c\u901a\u8fc7\u8fd9\u4e2a\u8fde\u63a5\u653e\u5927\u653e\u5927\u561b\uff0c\u5c31\u662f\u4e58\u4e00\u4e2aW\uff0c\u90a3\u4e48\u5230\u6211\u8fd9\u513f\u4e4b\u540e\u5462\uff0c\u5c31\u53d8\u6210\u6240\u6709\u7684sigma x\u548cW\u4e58\u8d77\u6765\uff0c\u5982\u679c\u5b83\u6bd4\u8f83\u5927\uff0c\u6bd4\u8fd9\u4e2aC\u5854\u8981\u5927\u4e00\u4e9b\uff0c\u6211\u5c31\u6fc0\u6d3b\u6fc0\u6d3b\u5c31\u662f\u4ea7\u751f\u4e00\u4e2a\u8f93\u51fa\uff0c\u7531\u4e00\u4e2a\u51fd\u6570F\u6765\u5904\u7406\u4ea7\u751f\u8f93\u51fa\uff0c\u6240\u4ee5\u6240\u8c13\u7684\u8fd9\u4e00\u4e2a\u795e\u7ecf\u5143\u6a21\u578b\u5176\u5b9e\u5c31\u662f\u8fd9\u4e48\u4e00\u4e2a\u7b80\u5355\u7684\u6570\u5b66\u51fd\u6570\uff0cX\u662f\u522b\u7684\u795e\u7ecf\u5143\u6765\u7684\u4fe1\u53f7\uff0cW\u662f\u7a81\u51fa\u653e\u5927\uff0c\u5168\u90e8\u52a0\u8d77\u6765sigma\u6bd4\u6211\u539f\u6765\u7684\u4e00\u4e2a\u9608\u503ctheta\u9ad8\uff0c\u4f60\u5c31\u7528F\u6765\u5904\u7406\u4e00\u4e0b\uff0c\u4ea7\u751fY\uff0c\u6240\u4ee5\u6240\u8c13\u7684\u4e00\u4e2a\u795e\u7ecf\u5143\u5c31\u662f\u8fd9\u4e48\u4e00\u4e2a\u51fd\u6570\uff0c\u90a3\u4e48\u6211\u4eec\u5728\u6240\u8c13\u7684\u5b66\u4e60\u4ee5\u540e\u8981\u5b66\u4ec0\u4e48\u5462\uff1f\u5c31\u548c\u521a\u624d\u6211\u4eec\u8bf4\u5230\u7ebf\u6027\u56de\u5f52\u554a\uff0c\u7b49\u7b49\u7ebf\u6027\u6a21\u578b\u4e00\u6837\uff0c\u8981\u5b66\u7684\u5c31\u662f\u8fd9\u4e2aW\u8fd8\u6709\u8fd9\u4e2atheta\uff0c\u6211\u4eec\u7ebf\u6027\u6a21\u578b\u4e0d\u662fWXT\u8f6c\u7f6e\u52a0\u4e58X\u52a0B\u5417\uff0c\u52a0B\u561b\uff0c\u4f60\u548c\u51cfC\u5854\u662f\u4e00\u56de\u4e8b\u4e86\u554a\uff0c\u6b63\u8d1f\u53f7\u628a\u90a3\u4e2a\u5438\u6536\u8fdb\u53bb\u5c31\u662f\u4e86\uff0c\u90a3\u6240\u4ee5\u4f60\u770b\u4ed6\u8981\u5b66\u7684\u8fd8\u662fW\u548cB\u8bf6\uff0c\u4f60\u770b\u8fd9\u4e00\u70b9\u548c\u7ebf\u6027\u6a21\u578b\u662f\u4e00\u6837\u7684\uff0c\u5176\u5b9e\u6bcf\u4e00\u4e2a\u795e\u7ecf\u5143\u81ea\u5df1\u672c\u8eab\uff0c\u5982\u679c\u4f60\u4e0d\u8003\u8651\u8fd9\u4e2aF\u5b83\u5c31\u662f\u4e2a\u7ebf\u6027\u6a21\u578b\uff0c\u6240\u4ee5\u628a\u8fd9\u4e2aF\u53bb\u6389\uff0c\u5b83\u4e0d\u5c31\u662f\u4e2a\u7ebf\u6027\u6a21\u578b\u5417\uff0c\u90a3\u4e48\u73b0\u5728\u6709\u8fd9\u4e2aF\u4e4b\u540e\uff0c\u5b83\u80fd\u591f\u5904\u7406\u975e\u7ebf\u6027\u7684\u4e1c\u897f\u4e86\uff0c\u90a3\u4e48\u6211\u4eec\u4e00\u5b9a\u77e5\u9053\u8fd9\u4e2aF\u8981\u505a\u67d0\u79cd\u53d8\u5316\u3002<\/p>\n\n\n\n<p>sigmoid\u51fd\u6570\u5176\u5b9e\u662f\u6307S\u578b\u7684\u4e00\u7c7b\u51fd\u6570\uff0c\u5982<img decoding=\"async\" alt=\"sigmoid=\\frac{1}{1+e^{-x}}\" src=\"https:\/\/latex.csdn.net\/eq?sigmoid%3D%5Cfrac%7B1%7D%7B1&amp;plus;e%5E%7B-x%7D%7D\">\u662f\u6700\u4e3a\u7279\u70b9\u7684\u4e00\u4e2a\u51fd\u6570\uff0c<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6.2 \u4e07\u6709\u903c\u8fd1\u80fd\u529b<\/h3>\n\n\n\n<p>\u591a\u5c42\u524d\u9988\u7f51\u7edc\u6709\u5f3a\u5927\u7684\u8868\u793a\u80fd\u529b\uff08\u201d\u4e07\u6709\u903c\u8fd1\u6027\u201d\uff09<br>\u4ec5\u9700\u4e00\u4e2a\u5305\u542b\u8db3\u591f\u591a\u795e\u7ecf\u5143\u7684\u9690\u5c42\uff0c\u591a\u5c42\u524d\u9988\u795e\u7ecf\u7f51\u7edc\u5c31\u80fd\u4ee5\u4efb\u610f\u7cbe\u5ea6\u903c\u8fd1\u4efb\u610f\u590d\u6742\u5ea6\u7684\u8fde\u7eed\u51fd\u6570<br>[Hornik et al., 1989]&nbsp;<\/p>\n\n\n\n<p>\u4efb\u4f55\u4e00\u4e2a\u8f93\u5165x\u8f93\u51fa\u4e00\u4e2af(x)\u51fd\u6570\uff0c\u5982\u679c\u8981\u6c42\u5728x\u7a7a\u95f4\u4e2d\u4efb\u4f55\u4e00\u70b9\u90fd\u6709\u503c\uff0c\u5c31\u8bf4\u662f\u8fde\u7eed\u51fd\u6570\uff0c\u53ef\u4ee5\u770b\u5230\u6211\u4eec\u7684\u4efb\u4f55\u8ba1\u7b97\u8fc7\u7a0b\u90fd\u662f\u505a\u8fde\u7eed\u51fd\u6570\u3002\u6545\u4efb\u4f55\u51fd\u6570\u903c\u8fd1\u95ee\u9898\u90fd\u53ef\u4ee5\u7528\u5355\u9690\u5c42\u524d\u9988\u7f51\u7edc\u89e3\u51b3<\/p>\n\n\n\n<p><strong>\u4f46\u662f\u5982\u4f55\u8bbe\u7f6e\u9690\u5c42\u795e\u7ecf\u5143\u6570\u662f\u672a\u51b3\u95ee\u9898(open problem)\uff0c\u5b9e\u9645\u5e38\u7528\u8bd5\u9519\u6cd5<\/strong><\/p>\n\n\n\n<p>\u5f88\u591a\u4eba\u8ba4\u4e3a\u4e07\u6709\u903c\u8fd1\u6027\u662f\u795e\u7ecf\u7f51\u7edc\u72ec\u6709\u7684\u4f18\u826f\u5c5e\u6027,\u4f46\u662f\u662f\u9519\u8bef\u7684,\u5085\u91cc\u53f6\u53d8\u5316\u7b49\u7b49\u7b49\u7b49\u4e5f\u6709\u6b64\u6027\u8d28.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6.3 BP(\u8bef\u5dee\u9006\u4f20\u64ad\u7b97\u6cd5)\u7b97\u6cd5\u63a8\u5bfc<\/h3>\n\n\n\n<p>\u96be\u4ee5\u6982\u62ec\uff0c\u63d0\u4f9b\u89c6\u9891\u7406\u89e3<a href=\"https:\/\/www.bilibili.com\/video\/BV1gG411f7zX\/?spm_id_from=333.788.videopod.episodes&amp;vd_source=b31958e33027799323b8b7d77ae181d4&amp;p=33\" target=\"_blank\"  rel=\"nofollow\" >5-3.BP\u7b97\u6cd5\u63a8\u5bfc_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6.4 \u7f13\u89e3\u8fc7\u62df\u5408<\/h3>\n\n\n\n<p>\u4e00\u4e2a\u6296\u52a8\u7684\u7ebf\uff0c\u4e2d\u95f4\u62bd\u8c61\u4e00\u6761\u7ebf\uff0c\u867d\u7136\u5e73\u6ed1\u6389\u952f\u9f7f<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><a><\/a>\u8d1d\u53f6\u65af\u5206\u7c7b\u5668<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">7.1 \u8d1d\u53f6\u65af\u51b3\u7b56\u8bba<\/h3>\n\n\n\n<p>\u6211\u4eec\u518d\u5176\u4e2d\u9009\u62e9\u4e00\u4e2a\u98ce\u9669\u6700\u5c0f\u7684\u51b3\u7b56\uff0c\u5373\u8d1d\u53f6\u65af\u5224\u5b9a\u51c6\u5219\u3002<\/p>\n\n\n\n<p>h*\u79f0\u4e3a\u8d1d\u53f6\u65af\u6700\u4f18\u5206\u7c7b\u5668(Bayes optimal classifier),\u5176\u603b\u4f53\u98ce\u9669\u79f0\u4e3a \u8d1d\u53f6\u65af\u98ce\u9669(Bayes risk)\uff0c\u4ed6\u53cd\u6620\u4e86\u5b66\u4e60\u6027\u80fd\u7684\u7406\u8bba\u4e0a\u9650<br>\u5047\u8bbe\u6211\u4eec\u770b\u5230ground truth\uff0c\u56e0\u6b64\u6211\u4eec\u7684\u95ee\u9898\u5728\u4e8e\u65e0\u6cd5\u770b\u5230<img decoding=\"async\" alt=\"p_{c}=(j|x)\" src=\"https:\/\/latex.csdn.net\/eq?p_%7Bc%7D%3D%28j%7Cx%29\">groundtruth\u7684\u533a\u522b\u662f\u8fd9\u4e2a\u6761\u4ef6\u6982\u7387<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7.2 \u751f\u6210\u5f0f\u548c\u5224\u522b\u5f0f\u6a21\u578b<\/h3>\n\n\n\n<p>\u6240\u8c13\u7684\u751f\u6210\u5f0f\u6a21\u578b\u662f\u5148\u628a\u4ed6\u7684\u8054\u5408\u6982\u7387\u505a\u51fa\u6765\uff0c\u5728\u6b64\u57fa\u7840\u4e0a\u8fdb\u4e00\u6b65\u5904\u7406\u7684\u3002<\/p>\n\n\n\n<p>\u4e3a\u4ec0\u4e48\u53eb\u505a\u751f\u6210\u5f0f\u5462\uff1f\u6211\u4eec\u7ed9\u51fa\u4e00\u4e2a\u6570\u636e\u96c6\uff0c\u90fd\u53ef\u4ee5\u770b\u5230\u6709\u4e00\u4e2a\u6570\u636e\u5206\u5e03\u5e76\u5f97\u5230\u4e00\u4e2a\u91c7\u6837\uff08\u72ec\u7acb\u540c\u5206\u5e03\uff09\uff0c \u6f5c\u5728\u6211\u4eec\u53eb\u4ed6\u5047\u5b9a\u6709\u4e00\u4e2a\u5206\u5e03\u7684\u6211\u4eec\u4e0d\u77e5\u9053\u7684\uff01\uff01\uff01\uff01\uff01\u7f3a\u5c11\u3002\u5982\u679c\u628a\u6570\u636e\u96c6\u53eb\u505aC\uff08\u53ef\u770b\u4f5c\u5173\u4e8e\u7c7b\u522b\u6a21\u578b\uff09\u751f\u6210\u5373P(X,C)<\/p>\n\n\n\n<p>\u603b\u4e4b,\u4e24\u4e2a\u4e00\u4e2a\u662f\u62ff\u5230\u6570\u636e\u540e\u5c31\u4e8b\u8bba\u4e8b\u53ea\u505a\u4ed6;\u53e6\u4e00\u4e2a\u662f\u628a\u539f\u6765\u7684\u5206\u5e03\u5c3d\u53ef\u80fd\u8fd8\u539f\u51fa\u6765\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7.3 \u8d1d\u53f6\u65af\u5206\u7c7b\u5668\u4e0e\u8d1d\u53f6\u65af\u5b66\u4e60<\/h3>\n\n\n\n<p>\u5f88\u96be\u7528\u4ec0\u4e48\u8bdd\u6982\u8ff0\uff0c\u5efa\u8bae\u770b\u89c6\u9891<a href=\"https:\/\/www.bilibili.com\/video\/BV1gG411f7zX?spm_id_from=333.788.videopod.episodes&amp;vd_source=b31958e33027799323b8b7d77ae181d4&amp;p=42\" target=\"_blank\"  rel=\"nofollow\" >7-3.\u8d1d\u53f6\u65af\u5206\u7c7b\u5668\u4e0e\u8d1d\u53f6\u65af\u5b66\u4e60_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7.4 \u6781\u5927\u4f3c\u7136\u4f30\u8ba1&nbsp;<\/h3>\n\n\n\n<p>\u5047\u8bbe\u6709\u4e00\u4e2a\u9ad8\u65af\u5206\u5e03\uff0c\u4e2d\u95f4\u6709\uff08m\uff0cseita\uff09\u8fd9\u6837\u4e00\u70b9\uff0c\u628aD_c\u8fd9\u4e00\u6570\u636e\u96c6\u5168\u90e8\u5bfc\u51fa\uff0c\u90a3\u4e48\u6bcf\u4e00\u4e2ax\u90fd\u4ece\u8fd9\u4e2a\u4ea7\u751f\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f\u628a\u6bcf\u4e00\u4e2aX\u90fd\u662f\u72ec\u7acb\u968f\u673a\u4e8b\u4ef6\u4e14\u72ec\u7acb\u540c\u5206\u5e03\uff0c\u7528<img decoding=\"async\" alt=\"P\\left ( X|\\Theta _{c} \\right )\" src=\"https:\/\/latex.csdn.net\/eq?P%5Cleft%20%28%20X%7C%5CTheta%20_%7Bc%7D%20%5Cright%20%29\">\u786e\u7acb\u8fd9\u4e2a\u6a21\u578b\u7684\u4ea7\u751fX\u7684\u6982\u7387\uff0c\u8fd9\u662f\u82e5\u5e72\u4e2aX\uff08\u5373X1X2X3....\uff09\u53ef\u4ee5\u8ba4\u4e3a\u662f\u628a\u4ed6\u4eec\u7684\u5404\u81ea\u7684\u5bf9\u5e94\u7684\u6982\u7387\u76f8\u4e58\u5373<img decoding=\"async\" alt=\"\\Pi p(x_i|\\Theta )\" src=\"https:\/\/latex.csdn.net\/eq?%5CPi%20p%28x_i%7C%5CTheta%20%29\">.seita\u6709\u8bb8\u591a\u9009\u62e9,\u6545\u53ef\u4ee5\u53c2\u6570\u5316(0.1,0.2,0.3......)\u6700\u540e\u8c03\u53c2\u81f3\u8bef\u5deemin\u5373\u53ef<\/p>\n\n\n\n<p>\u540c\u5b66\uff0c\u8fd9\u91cc\u4e66\u4e2d\u7684log\u9ed8\u8ba4\u4e3aln<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7.5 \u6734\u7d20\u8d1d\u53f6\u65af\u5206\u7c7b\u5668<\/h3>\n\n\n\n<p>\u4ece\u8d1d\u53f6\u65af\u516c\u5f0f\u51fa\u53d1,\u4eceBYS\u516c\u5f0f,\u6211\u4eec\u521a\u624d\u7684\u63a2\u8ba8\u4e00\u4e2aPC\uff0c\u4e00\u4e2aPX\u554a\uff0c\u8fd9\u4e2a\u6211\u4eec\u90fd\u4e0d\u7528\u53bb\u8bb2\u4e86\uff0cPX\u5c31\u662f\u4f60\u770b\u5230\u7684X\u8fd9\u4e2aPC\u5462\u662f\u7c7b\u522b\u5148\u9a8c\uff0c\u90a3\u4f60\u53ef\u4ee5\u8ba4\u4e3a\u6211\u4e5f\u53ef\u4ee5\u628a\u5b83\u5f53\u4f5c\uff0c\u4ea7\u751f\u5f88\u591a\u6570\u636e\u4e4b\u540e\u627e\u540e\u9a8c\uff0c\u90a3\u6211\u4eec\u8981\u4f30\u8ba1\u7684\u5c31\u662f\u4ed6<img decoding=\"async\" alt=\"P(x|c)\" src=\"https:\/\/latex.csdn.net\/eq?P%28x%7Cc%29\">\uff0c\u4f46\u662f\u8fd9\u4e2a\u4e1c\u897f\u4f30\u8ba1\u5462\u975e\u5e38\u56f0\u96be\uff0c\u4e3a\u4ec0\u4e48\u56f0\u96be\u5462\uff0c\u5927\u5bb6\u8981\u6ce8\u610f\u8fd9\u4e2aX\u554a\uff0c\u5b83\u6d89\u53ca\u5230\u4e00\u4e2afeature space\uff0c\u800c\u5f53\u6211\u4eec\u8981\u4f30\u8ba1<img decoding=\"async\" alt=\"P(x|c)\" src=\"https:\/\/latex.csdn.net\/eq?P%28x%7Cc%29\">\u7684\u65f6\u5019\uff0c\u5176\u5b9e\u662f\u6d89\u53ca\u5230\u5c5e\u6027\uff0c\u5b83\u7684\u8054\u5408\u5c55\u5f00&nbsp;<\/p>\n\n\n\n<p>\u73b0\u5728\u6211\u4eec\u6709\u897f\u74dc\u9752\u7eff\u6839\u5e95\u8737\u7f29\u6d51\u6d4a\u58f0\u97f3\uff0c\u6211\u4eec\u628a\u6761\u4ef6\u53eb\u505ax1x2x3\uff0c\u56e0\u6b64\u73b0\u5728P(x|c)\u884d\u751f\u51faX1|C\uff0cX2|C\uff0cX3|C\uff0cX1X3|C\uff0cX1X2|C\uff0cX2X3|C\uff0cX1X2X3|C\u8fd9\u5c31\u662f\u84dd\u5b57\u7684\u95ee\u9898\uff0c2\u76843\u6b21\u65b9\u7ec4\u5408\u7206\u70b8<\/p>\n\n\n\n<p>\u90a3\u4e48\u4e3e\u4e00\u4e2a\u4f8b\u5b50\uff0c17\u4e2a\u6570\u636e8\u4e2a\u597d9\u4e2a\u574f\u00a0<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7.6 \u62c9\u666e\u62c9\u65af\u4fee\u6b63<\/h3>\n\n\n\n<p>\u5176\u4e2d\u6709\u4e00\u4e2a\u95ee\u9898\u662f\u5bf9\u4e8e\u67d0\u4e9b\u6bd4\u5982\u9752\u7eff\u8737\u7f29\u6d4a\u54cd\u6a21\u7cca\u7684\u897f\u74dc\uff0c\u4ed6\u662f\u574f\u7684\u3002\u4f46\u662f\u6ca1\u6709\u6a21\u7cca\u7684\u6837\u672c\uff1f<\/p>\n\n\n\n<p>\u8fd9\u4e2a\u91cc\u9762\u6709\u90e8\u5206\u6ca1\u6709\u51fa\u73b0\uff0c\u73b0\u57283\u4e2a\u53e3\u888b\u6765\u4e00\u4e2a\u7403\u8fdb\u5165A\u6216\u8005B\uff0c\u4f46\u662fC\u4e00\u76f4\u662f0\uff0c\u4f1a\u5bf9\u7ed3\u679c\u4ea7\u751f\u9519\u8bef\u9884\u6d4b\uff0c\u4e8e\u662f\u62c9\u666e\u62c9\u65af\u5c31\u9884\u5148\u5728\u6240\u6709\u53e3\u888b\u653e\u4e00\u4e2a\u7403\uff0c<\/p>\n\n\n\n<p>\u5b9e\u9645\u4e0a\u8fd9\u662f\u5047\u5b9a\u5c5e\u6027\u503c\u548c\u5185\u5bb9\u5747\u5300\u5206\u5e03\uff0c\u8fd9\u662f\u6211\u989d\u5916\u6709\u5f15\u8fdb\u7684bias<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><a><\/a>\u96c6\u6210\u5b66\u4e60<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">8.1 \u96c6\u6210\u5b66\u4e60<\/h3>\n\n\n\n<p>\u96c6\u6210\u5b66\u4e60\uff08Ensemble Learning\uff09\u662f\u4e00\u79cd\u5229\u7528\u591a\u4e2a\u6a21\u578b\u6765\u63d0\u5347\u6574\u4f53\u9884\u6d4b\u6027\u80fd\u7684\u6280\u672f\uff0c\u800c\u975e\u5355\u4e00\u6a21\u578b\u3002\u901a\u8fc7\u7ed3\u5408\u591a\u79cd\u6a21\u578b\u7684\u7ed3\u679c\uff0c\u96c6\u6210\u5b66\u4e60\u901a\u5e38\u80fd\u591f\u83b7\u5f97\u66f4\u597d\u7684\u6548\u679c\uff0c\u5c24\u5176\u5728\u7ade\u8d5b\u548c\u5b9e\u9645\u5e94\u7528\u4e2d\u8868\u73b0\u7a81\u51fa\u3002<\/p>\n\n\n\n<p>\u96c6\u6210\u5b66\u4e60\u6709\u4e24\u79cd\u4e3b\u8981\u7c7b\u578b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u540c\u8d28\u96c6\u6210<\/strong>\uff1a\u6240\u6709\u6a21\u578b\u76f8\u540c\uff0c\u5982\u591a\u4e2a\u51b3\u7b56\u6811\uff08\u53ef\u79f0\u4e3a\u51b3\u7b56\u6811\u96c6\u6210\uff09\u3002<\/li>\n\n\n\n<li><strong>\u5f02\u8d28\u96c6\u6210<\/strong>\uff1a\u6a21\u578b\u5404\u4e0d\u76f8\u540c\uff0c\u6bd4\u5982\u795e\u7ecf\u7f51\u7edc\u548c\u51b3\u7b56\u6811\u7684\u7ec4\u5408\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u6bcf\u4e2a\u6a21\u578b\u5728\u96c6\u6210\u4e2d\u88ab\u79f0\u4e3a\u4e2a\u4f53\u6216\u6210\u5206\uff0c\u901a\u5e38\u53eb\u201c\u5f31\u5b66\u4e60\u5668\u201d\u3002\u96c6\u6210\u5b66\u4e60\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u5927\u6bd4\u8d5b\u548c\u5de5\u7a0b\u4e2d\u3002\u4f8b\u5982\uff0c\u5728\u6df1\u5ea6\u5b66\u4e60\u4e2d\uff0c\u5f80\u5f80\u4f1a\u5c06\u795e\u7ecf\u7f51\u7edc\u8f93\u51fa\u7684\u7279\u5f81\u4f20\u5165\u5176\u4ed6\u96c6\u6210\u6a21\u578b\uff08\u5982\u968f\u673a\u68ee\u6797\u3001XGBoost\uff09\u6765\u63d0\u5347\u6027\u80fd\u3002\u8fd9\u79cd\u6280\u672f\u5c24\u5176\u9002\u7528\u4e8e\u9700\u8981\u9ad8\u6027\u80fd\u7684\u573a\u666f\uff0c\u4e14\u5373\u4f7f\u6ca1\u6709\u521b\u65b0\uff0c\u4f7f\u7528\u96c6\u6210\u5b66\u4e60\u5f80\u5f80\u80fd\u83b7\u5f97\u8f83\u597d\u7684\u6548\u679c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">8.2 \u597d\u800c\u4e0d\u540c<\/h3>\n\n\n\n<p>\u73b0\u5728\u5047\u8bbe\u6211\u4eec\u8981\u9884\u6d4b\u7684\u76ee\u6807\u6709\u4e09\u4f4d\uff0c\u5206\u522b\u662f\u7eff\u8272\u3001\u9ec4\u8272\u548c\u7eff\u8272\u3002\u6211\u4eec\u6709\u4e09\u4e2a\u6a21\u578b\u6765\u5b8c\u6210\u8fd9\u9879\u4efb\u52a1\u3002\u7b2c\u4e00\u4e2a\u6a21\u578b\u5728\u9884\u6d4b\u6700\u53f3\u8fb9\u7684\u989c\u8272\u65f6\u72af\u4e86\u9519\u8bef\uff0c\u5c06\u7eff\u8272\u8bef\u8ba4\u4e3a\u9ec4\u8272\uff1b\u7b2c\u4e8c\u4e2a\u6a21\u578b\u5219\u5728\u4e2d\u95f4\u4f4d\u7f6e\u72af\u9519\uff0c\u5c06\u9ec4\u8272\u8bef\u8ba4\u4e3a\u7eff\u8272\uff1b\u800c\u7b2c\u4e09\u4e2a\u6a21\u578b\u5728\u6700\u5de6\u8fb9\u72af\u4e86\u540c\u6837\u7684\u9519\u8bef\uff0c\u5c06\u7eff\u8272\u9884\u6d4b\u4e3a\u9ec4\u8272\u3002\u6bcf\u4e2a\u6a21\u578b\u90fd\u53ea\u6b63\u786e\u9884\u6d4b\u4e86\u5176\u4e2d\u7684\u4e24\u4f4d\u989c\u8272\uff0c\u56e0\u6b64\u5b83\u4eec\u5404\u81ea\u7684\u51c6\u786e\u7387\u4e3a66.6%\u3002\u7136\u800c\uff0c\u5982\u679c\u6211\u4eec\u91c7\u7528\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u6cd5\u2014\u2014\u591a\u6570\u6295\u7968\uff08majority voting\uff09\uff0c\u5373\u5f53\u591a\u6570\u6a21\u578b\u5bf9\u67d0\u4e00\u4f4d\u989c\u8272\u7684\u9884\u6d4b\u76f8\u540c\u65f6\uff0c\u6211\u4eec\u5c31\u91c7\u7eb3\u8fd9\u4e2a\u9884\u6d4b\u4f5c\u4e3a\u6700\u7ec8\u7ed3\u679c\u3002\u8fd9\u6837\uff0c\u901a\u8fc7\u7ed3\u5408\u4e09\u4e2a\u6a21\u578b\u7684\u9884\u6d4b\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230100%\u51c6\u786e\u7684\u7ed3\u679c\u3002\u8fd9\u662f\u56e0\u4e3a\u6bcf\u4e2a\u6a21\u578b\u867d\u7136\u90fd\u6709\u7f3a\u9677\uff0c\u4f46\u5b83\u4eec\u7684\u9519\u8bef\u5e76\u4e0d\u76f8\u540c\uff0c\u901a\u8fc7\u7ec4\u5408\u8fd9\u4e9b\u4e0d\u540c\u7684\u201c\u58f0\u97f3\u201d\uff0c\u6211\u4eec\u53ef\u4ee5\u62b5\u6d88\u9519\u8bef\uff0c\u4ece\u800c\u83b7\u5f97\u6bd4\u4efb\u4f55\u4e00\u4e2a\u5355\u72ec\u6a21\u578b\u66f4\u597d\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n<p>\u4f46\u662f\uff0c\u5e76\u4e0d\u662f\u6240\u6709\u60c5\u51b5\u4e0b\u96c6\u6210\u65b9\u6cd5\u90fd\u80fd\u63d0\u9ad8\u6027\u80fd\u3002\u6bd4\u5982\uff0c\u5f53\u4e09\u4e2a\u6a21\u578b\u5728\u540c\u4e00\u4e2a\u4f4d\u7f6e\u4e0a\u90fd\u72af\u4e86\u76f8\u540c\u7684\u9519\u8bef\u65f6\uff0c\u4f7f\u7528\u591a\u6570\u6295\u7968\u5e76\u4e0d\u4f1a\u6539\u5584\u7ed3\u679c\uff0c\u53cd\u800c\u4f1a\u4fdd\u6301\u9519\u8bef\u4e0d\u53d8\u3002\u8fd9\u8bf4\u660e\uff0c\u4e3a\u4e86\u4f7f\u96c6\u6210\u65b9\u6cd5\u6709\u6548\uff0c\u4e2a\u4f53\u6a21\u578b\u4e4b\u95f4\u9700\u8981\u5b58\u5728\u5dee\u5f02\u6027\u3002\u8fdb\u4e00\u6b65\u6765\u770b\uff0c\u5982\u679c\u6bcf\u4e2a\u6a21\u578b\u90fd\u72af\u4e86\u591a\u4e2a\u9519\u8bef\uff0c\u5e76\u4e14\u8fd9\u4e9b\u9519\u8bef\u5bfc\u81f4\u4e86\u5b8c\u5168\u76f8\u53cd\u7684\u9884\u6d4b\u7ed3\u679c\uff0c\u90a3\u4e48\u5373\u4f7f\u91c7\u7528\u591a\u6570\u6295\u7968\uff0c\u6700\u7ec8\u7684\u51c6\u786e\u6027\u4e5f\u53ef\u80fd\u964d\u52300%\uff0c\u751a\u81f3\u6bd4\u5355\u4e2a\u6700\u5dee\u7684\u6a21\u578b\u8fd8\u8981\u7cdf\u7cd5\u3002\u8fd9\u8868\u660e\uff0c\u4e3a\u4e86\u4f7f\u96c6\u6210\u5b66\u4e60\u6709\u6548\uff0c\u4e0d\u4ec5\u9700\u8981\u4e2a\u4f53\u6a21\u578b\u4e4b\u95f4\u7684\u5dee\u5f02\u6027\uff0c\u8fd8\u9700\u8981\u4fdd\u8bc1\u6bcf\u4e2a\u6a21\u578b\u7684\u57fa\u672c\u6027\u80fd\uff0c\u5373\u5b83\u4eec\u4e0d\u80fd\u592a\u5dee\u3002<\/p>\n\n\n\n<p>\u8fd9\u4e2a\u4f8b\u5b50\u5f88\u597d\u5730\u5c55\u793a\u4e86\u96c6\u6210\u5b66\u4e60\u7684\u57fa\u672c\u539f\u7406\u548c\u6761\u4ef6\uff0c\u5373\u4e2a\u4f53\u6a21\u578b\u4e0d\u4ec5\u8981\u5177\u5907\u4e00\u5b9a\u7684\u51c6\u786e\u6027\uff0c\u8fd8\u9700\u8981\u5177\u6709\u591a\u6837\u6027\u3002\u8fd9\u4e0e\u56e2\u961f\u5408\u4f5c\u7c7b\u4f3c\uff0c\u5f53\u56e2\u961f\u6210\u5458\u5404\u6709\u6240\u957f\uff0c\u80fd\u591f\u4e92\u8865\u65f6\uff0c\u6574\u4e2a\u56e2\u961f\u7684\u8868\u73b0\u5f80\u5f80\u80fd\u8d85\u8d8a\u5355\u4e2a\u6210\u5458\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">8.4 Boosting<\/h3>\n\n\n\n<p><a href=\"https:\/\/www.bilibili.com\/video\/BV1gG411f7zX?spm_id_from=333.788.videopod.episodes&amp;vd_source=b31958e33027799323b8b7d77ae181d4&amp;p=48\" target=\"_blank\"  rel=\"nofollow\" >8-4.Boosting_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a><\/p>\n\n\n\n<p>Boosting\u5176\u5b9e\u662f\u4e00\u79cd\u6846\u67b6\uff0c\u4e4b\u540e\u6211\u4f1a\u8bb2\u66f4\u5177\u4f53\u7684\u5185\u5bb9\u3002\u73b0\u5728\u5927\u5bb6\u53ef\u4ee5\u5148\u4e86\u89e3\u4e00\u4e0b\u5b83\u7684\u6d41\u7a0b\u3002Boosting\u5bb6\u65cf\u7684\u7b97\u6cd5\u4e00\u822c\u4ee5\u201cboost\u201d\u7ed3\u5c3e\uff0c\u6bd4\u5982\u5e38\u89c1\u7684AdaBoost\uff0c\u800c\u6574\u4e2a\u5bb6\u65cf\u7684\u6d41\u7a0b\u662f\u7c7b\u4f3c\u7684\u3002\u9996\u5148\uff0c\u6211\u4eec\u62ff\u5230\u4e00\u4e2a\u521d\u59cb\u8bad\u7ec3\u96c6\uff0c\u5047\u8bbe\u79f0\u4e4b\u4e3aDataSet1\uff0c\u7136\u540e\u9009\u62e9\u4e00\u4e2a\u57fa\u7840\u7b97\u6cd5\uff0c\u5e38\u7528\u7684\u662f\u51b3\u7b56\u6811\u7b49\u7b97\u6cd5\uff0c\u8fd9\u65f6\u6211\u4eec\u79f0\u4e4b\u4e3aBase Learning Algorithm\u3002\u96c6\u6210\u5b66\u4e60\u4e2d\u6709\u540c\u8d28\u4e0e\u5f02\u8d28\u4e4b\u5206\uff0cBoosting\u4fa7\u91cd\u540c\u8d28\u96c6\u6210\uff0c\u56e0\u5176\u5b9e\u73b0\u66f4\u4e3a\u65b9\u4fbf\uff0c\u5373\u4f7f\u7528\u4e00\u4e2a\u7b97\u6cd5\u591a\u6b21\u8bad\u7ec3\u5f97\u5230\u591a\u4e2a\u6a21\u578b\u5373\u53ef\u3002<\/p>\n\n\n\n<p>\u540c\u8d28\u96c6\u6210\u7684\u6311\u6218\u5728\u4e8e\u5982\u4f55\u4fdd\u6301\u6a21\u578b\u95f4\u7684\u5dee\u5f02\u6027\uff08diversity\uff09\uff0c\u8fd9\u6bd4\u5f02\u8d28\u96c6\u6210\u8981\u96be\u3002\u5f02\u8d28\u96c6\u6210\u7531\u4e8e\u7b97\u6cd5\u4e0d\u540c\uff0c\u6a21\u578b\u95f4\u5929\u7136\u5b58\u5728\u5dee\u5f02\uff0c\u800c\u540c\u8d28\u96c6\u6210\u5219\u9700\u8981\u901a\u8fc7\u8bad\u7ec3\u96c6\u7684\u4e0d\u540c\u6765\u5b9e\u73b0\u5dee\u5f02\u3002<\/p>\n\n\n\n<p>\u5728Boosting\u6846\u67b6\u4e2d\uff0c\u9996\u5148\u8bad\u7ec3\u4e00\u4e2a\u57fa\u7840\u6a21\u578bLearner1\uff0c\u7528\u5b83\u5bf9\u8bad\u7ec3\u96c6\u9884\u6d4b\uff0c\u8bb0\u5f55\u6b63\u786e\u4e0e\u9519\u8bef\u7684\u6837\u672c\u3002\u4e3a\u6bcf\u4e2a\u6837\u672c\u5206\u914d\u6743\u91cd\uff0c\u9519\u8bef\u7684\u6837\u672c\u6743\u91cd\u4e0a\u5347\uff0c\u6b63\u786e\u7684\u6837\u672c\u6743\u91cd\u4e0b\u964d\u3002\u7136\u540e\u91cd\u65b0\u91c7\u6837\u5f97\u5230\u65b0\u7684\u8bad\u7ec3\u96c6DataSet2\u3002\u8fd9\u6837\uff0c\u7b2c\u4e8c\u4e2a\u8bad\u7ec3\u96c6\u5c06\u66f4\u5173\u6ce8\u5148\u524d\u5206\u7c7b\u9519\u8bef\u7684\u6837\u672c\uff0c\u8fdb\u800c\u751f\u6210Learner2\u3002\u5982\u6b64\u91cd\u590dT\u8f6e\uff0c\u6700\u540e\u5c06\u6240\u6709Learner\u52a0\u6743\u7ec4\u5408\u3002<\/p>\n\n\n\n<p>Boosting\u53ef\u4ee5\u7528\u4e8e\u5206\u7c7b\u3001\u56de\u5f52\uff0c\u751a\u81f3\u6392\u5e8f\u4efb\u52a1\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5bf9\u6b8b\u5dee\u6700\u5c0f\u5316\u7684\u9ad8\u6548\u5b9e\u73b0\uff0c\u8bbe\u8ba1\u4e4b\u521d\u4fbf\u662f\u7edf\u8ba1\u5b66\u6b8b\u5dee\u6700\u5c0f\u5316\u8fc7\u7a0b\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">8.5 Bagging<\/h3>\n\n\n\n<p><a href=\"https:\/\/www.bilibili.com\/video\/BV1gG411f7zX?spm_id_from=333.788.videopod.episodes&amp;vd_source=b31958e33027799323b8b7d77ae181d4&amp;p=49\" target=\"_blank\"  rel=\"nofollow\" >8-5.Bagging_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a><\/p>\n\n\n\n<p>Bagging\u662f\u4e00\u4e2a\u76f8\u5bf9\u5bb9\u6613\u7406\u89e3\u7684\u96c6\u6210\u5b66\u4e60\u65b9\u6cd5\u3002\u5f53\u6211\u4eec\u5f97\u5230\u4e00\u4e2a\u6570\u636e\u96c6\u540e\uff0c\u901a\u8fc7\u5bf9\u8be5\u6570\u636e\u96c6\u751f\u6210\u591a\u4e2a\u5b66\u4e60\u5668\u6765\u6784\u5efa\u6a21\u578b\u3002\u5047\u8bbe\u6211\u4eec\u6709100\u4e2a\u6570\u636e\uff0c\u4f7f\u7528C4.5\u51b3\u7b56\u6811\u6765\u8bad\u7ec3\u3002\u5982\u679c\u6bcf\u6b21\u90fd\u76f4\u63a5\u4f7f\u7528\u76f8\u540c\u7684\u6570\u636e\u96c6\uff0c\u751f\u6210\u7684\u6bcf\u4e2a\u51b3\u7b56\u6811\u6a21\u578b\u4f1a\u975e\u5e38\u76f8\u4f3c\uff0c\u96c6\u6210\u8d77\u6765\u6548\u679c\u4e0d\u4f73\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5f15\u5165\u4e86\u4e00\u79cd\u6280\u672f\uff1a\u4ece\u539f\u59cb\u6570\u636e\u96c6\u4e2d\u901a\u8fc7\u201c\u53ef\u91cd\u590d\u91c7\u6837\u201d\uff08bootstrap sampling\uff09\u6765\u751f\u6210\u591a\u4e2a\u4e0d\u540c\u7684\u6570\u636e\u96c6\u3002\u53ef\u91cd\u590d\u91c7\u6837\u5141\u8bb8\u540c\u4e00\u4e2a\u6837\u672c\u88ab\u591a\u6b21\u9009\u4e2d\uff0c\u800c\u67d0\u4e9b\u6837\u672c\u53ef\u80fd\u5b8c\u5168\u672a\u88ab\u9009\u4e2d\uff0c\u8fd9\u6837\u751f\u6210\u7684\u6570\u636e\u96c6\u5c31\u6709\u4e86\u5dee\u5f02\u6027\u3002<\/p>\n\n\n\n<p>\u901a\u5e38\uff0c\u7ea663.2%\u7684\u6837\u672c\u4f1a\u88ab\u91c7\u6837\u8fdb\u5165\u6bcf\u4e2a\u65b0\u6570\u636e\u96c6\uff0c\u5269\u4f59\u7684\u7559\u5728\u5916\u9762\u3002\u57fa\u4e8e\u8fd9\u4e9b\u4e0d\u540c\u7684\u6570\u636e\u96c6\u8bad\u7ec3\u51fa\u591a\u4e2a\u6a21\u578b\u540e\uff0c\u5c06\u5b83\u4eec\u7ec4\u5408\u5728\u4e00\u8d77\u2014\u2014\u5206\u7c7b\u4efb\u52a1\u4e2d\u6295\u7968\u51b3\u5b9a\u7ed3\u679c\uff0c\u56de\u5f52\u4efb\u52a1\u4e2d\u53d6\u5e73\u5747\u503c\u3002\u8fd9\u79cd\u65b9\u5f0f\u8ba9\u6bcf\u4e2a\u6a21\u578b\u5e73\u7b49\u53c2\u4e0e\uff0c\u4e0d\u50cfBoosting\u4e2d\u6a21\u578b\u6709\u6743\u91cd\u5dee\u522b\u3002Boosting\u662f\u4e00\u4e2a\u5e8f\u5217\u5316\u8fc7\u7a0b\uff0c\u524d\u9762\u7684\u5b66\u4e60\u5668\u5904\u7406\u7b80\u5355\u95ee\u9898\uff0c\u540e\u9762\u9010\u6b65\u89e3\u51b3\u66f4\u96be\u7684\u90e8\u5206\uff0c\u6743\u91cd\u4e0d\u53ef\u5747\u7b49\u3002\u800cBagging\u53ef\u4ee5\u5e73\u7b49\u5730\u7ec4\u5408\u6bcf\u4e2a\u6a21\u578b\uff0c\u751f\u6210\u51fa\u4e00\u4e2a\u96c6\u6210\u6a21\u578b\u3002<\/p>\n\n\n\n<p>Bagging\u7684\u6539\u8fdb\u7248\u662f\u968f\u673a\u68ee\u6797\uff08Random Forest\uff09\uff0c\u5230\u4eca\u5929\u4ecd\u88ab\u5e7f\u6cdb\u4f7f\u7528\u3002\u8fd9\u4e24\u4e2a\u65b9\u6cd5\u4e2d\uff0cBoosting\u6709\u4ee3\u8868\u6027\u7684XGBoost\uff0cBagging\u6709Random Forest\uff0c\u662f\u96c6\u6210\u5b66\u4e60\u4e2d\u6700\u91cd\u8981\u7684\u4ee3\u8868\u6027\u7b97\u6cd5\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">8.6 \u591a\u6837\u6027\u5ea6\u91cf<\/h3>\n\n\n\n<p>\u4e00\u79cd\u7b80\u5355\u7684\u5ea6\u91cf\u65b9\u5f0f\u662f\u901a\u8fc7\u5206\u7c7b\u5668\u4e4b\u95f4\u7684\u201c\u5217\u8054\u8868\u201d\u6765\u5b9e\u73b0\u3002\u5bf9\u4e8e\u4efb\u610f\u4e24\u4e2a\u5206\u7c7b\u5668\uff0c\u6211\u4eec\u53ef\u4ee5\u6784\u9020\u4e00\u4e2a4\u9879\u8868\u683c\uff0c\u7528ABCD\u56db\u4e2a\u503c\u5206\u522b\u4ee3\u8868\u5206\u7c7b\u5668\u5728\u6b63\u7c7b\u548c\u8d1f\u7c7b\u7684\u5224\u65ad\u60c5\u51b5\u3002\u57fa\u4e8e\u8fd9\u4e9b\u6570\u636e\uff0c\u53ef\u4ee5\u8ba1\u7b97\u4e24\u5206\u7c7b\u5668\u7684\u4e0d\u540c\u7a0b\u5ea6\uff0c\u4f8b\u5982\u7528 (B+C)\/(A+B+C+D)(B + C) 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>8-6.\u591a\u6837\u6027\u5ea6\u91cf_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a><\/p>\n\n\n\n<p>\u5b9e\u9645\u4e2d\uff0c\u5df2\u6709\u5f88\u591a\u4e0d\u540c\u7684\u591a\u6837\u6027\u5ea6\u91cf\u65b9\u5f0f\uff0c\u6bd4\u5982\u4e0d\u548c\u5ea6\u91cf\uff08Disagreement\uff09\u3001Q\u7edf\u8ba1\u91cf\u3001\u5361\u5e15\u7edf\u8ba1\u91cf\u7b49\uff0c\u7279\u522b\u662f\u5361\u5e15\u503c\u8d8a\u5c0f\uff0c\u8868\u660e\u591a\u6837\u6027\u8d8a\u5927\u3002\u6211\u4eec\u751a\u81f3\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u5ea6\u91cf\u4e0e\u6a21\u578b\u7684\u8bef\u5dee\u8868\u73b0\u7ed3\u5408\u8d77\u6765\uff0c\u7528\u56fe\u8868\u5c55\u793a\u6a21\u578b\u8bef\u5dee\u4e0e\u591a\u6837\u6027\u7684\u5173\u7cfb\u3002\u7136\u800c\uff0c\u901a\u8fc7\u4e0d\u540c\u7684\u5ea6\u91cf\u548c\u5206\u6790\u65b9\u5f0f\uff0c\u76ee\u524d\u4ecd\u672a\u627e\u5230\u6700\u4f18\u89e3\u3002<\/p>\n\n\n\n<p>\u82f1\u56fd\u5b66\u8005Lucy 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class=\"wp-block-heading\"><a><\/a>\u805a\u7c7b<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">9.1 \u805a\u7c7b<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">9.2 \u8ddd\u79bb\u8ba1\u7b97<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">9.3 \u805a\u7c7b\u65b9\u6cd5\u6982\u8ff0<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>\u7eea\u8bba 1.1 \u7eea\u8bba 1.2 \u8bfe\u7a0b\u5b9a\u4f4d \u79d1\u5b66:\u662f\u4ec0\u4e48\uff0c\u4e3a\u4ec0\u4e48\uff1b \u6280\u672f:\u600e\u4e48\u505a\uff1b \u5de5\u7a0b:\u505a\u7684\u591a\u5feb\u597d\u7701\uff1b \u5e94\u7528: 1.3 \u673a\u5668\u5b66\u4e60 \u7ecf\u5178 &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[2],"tags":[9],"class_list":["post-220","post","type-post","status-publish","format-standard","hentry","category-2","tag-9"],"_links":{"self":[{"href":"https:\/\/eve2333.top\/index.php?rest_route=\/wp\/v2\/posts\/220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eve2333.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eve2333.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eve2333.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eve2333.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=220"}],"version-history":[{"count":0,"href":"https:\/\/eve2333.top\/index.php?rest_route=\/wp\/v2\/posts\/220\/revisions"}],"wp:attachment":[{"href":"https:\/\/eve2333.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eve2333.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eve2333.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}