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regression\u662f\u4e00\u79cd\u5e38\u7528\u7684\u7edf\u8ba1\u5b66\u6a21\u578b\uff0c\u7528\u4e8e\u9884\u6d4b\u56e0\u53d8\u91cf\uff08Y\uff09\u4e0e\u81ea\u53d8\u91cf\uff08X\uff09\u4e4b\u95f4\u7684\u7ebf\u6027\u5173\u7cfb\u3002\u5728\u673a\u5668\u5b66\u4e60\u4e2d\uff0c\u7ebf\u6027\u56de\u5f52\u901a\u5e38\u88ab\u7528\u6765\u8fdb\u884c\u5206\u7c7b\u6216\u56de\u5f52\u4efb\u52a1\u3002<\/p>\n\n\n\n<p>\u5176\u57fa\u672c\u601d\u60f3\u662f\u901a\u8fc7\u6700\u5c0f\u5316\u6b8b\u5dee\u5e73\u65b9\u548c\u6765\u62df\u5408\u6570\u636e\u70b9\u7684\u76f4\u7ebf\u65b9\u7a0b\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u800c\u8a00\uff0c\u5047\u8bbe\u6211\u4eec\u6709n\u4e2a\u6837\u672c\uff0c\u6bcf\u4e2a\u6837\u672c\u5305\u542b\u4e24\u4e2a\u7279\u5f81\u503cx1, x2\u4ee5\u53ca\u5bf9\u5e94\u7684\u6807\u7b7ey1, 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<\/p>\n\n\n\n<p>\u5176\u4e2dw\u8868\u793a\u5411\u91cfx\u5230\u76ee\u6807\u53d8\u91cfy\u7684\u6295\u5f71\u65b9\u5411\uff0cb\u8868\u793a\u8be5\u76f4\u7ebf\u4e0e\u539f\u70b9\u7684\u8ddd\u79bb\u3002\u5982\u679c\u60f3\u8981\u5c06\u8fd9\u4e2a\u6a21\u578b\u5e94\u7528\u4e8e\u65b0\u7684\u6570\u636e\u96c6\uff0c\u53ea\u9700\u8981\u7ed9\u5b9a\u4e00\u4e2a\u65b0\u7684\u7279\u5f81\u5411\u91cfx0\u200b\u5373\u53ef\u5f97\u5230\u76f8\u5e94\u7684\u9884\u6d4b\u7ed3\u679cy\u2217.<\/p>\n\n\n\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u7ebf\u6027\u56de\u5f52\u5b58\u5728\u8fc7\u62df\u5408\u7684\u95ee\u9898\uff0c\u5373\u5f53\u8bad\u7ec3\u96c6\u4e2d\u7684\u6570\u636e\u8fc7\u4e8e\u5bc6\u96c6\u65f6\uff0c\u53ef\u80fd\u4f1a\u5bfc\u81f4\u6a21\u578b\u8fc7\u5ea6\u62df\u5408\u5f53\u524d\u6570\u636e\u800c\u5ffd\u7565\u4e86\u5176\u4ed6\u4fe1\u606f\u7684\u60c5\u51b5\u53d1\u751f\u3002\u4e3a\u4e86\u907f\u514d\u8fd9\u79cd\u60c5\u51b5\uff0c\u53ef\u4ee5\u91c7\u7528\u6b63\u5219\u5316\u7684\u65b9\u6cd5\uff0c\u5982Lasso\u3001Ridge\u7b49\uff0c\u4ee5\u51cf\u5c11\u53c2\u6570\u6570\u91cf\u5e76\u63d0\u9ad8\u6cdb\u5316\u80fd\u529b\u3002\u6b64\u5916\uff0c\u8fd8\u53ef\u4ee5\u8003\u8651\u5f15\u5165\u975e\u7ebf\u6027\u9879\u6216\u8005\u589e\u52a0\u989d\u5916\u7684\u7ea6\u675f\u6761\u4ef6\u6765\u589e\u5f3a\u6a21\u578b\u7684\u8868\u73b0\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u5206\u7c7b\u95ee\u9898\uff0c\u53ef\u4ee5\u901a\u8fc7\u6dfb\u52a0\u4e00\u4e2a\u9608\u503c\u51fd\u6570\u6765\u5b9e\u73b0\u79bb\u6563\u5316\u5904\u7406\uff1b\u5bf9\u4e8e\u56de\u5f52\u95ee\u9898\uff0c\u53ef\u4ee5\u5728\u539f\u6709\u7684\u57fa\u7840\u4e0a\u52a0\u5165\u4e00\u4e9b\u5148\u9a8c\u77e5\u8bc6\uff0c\u5982\u534f\u65b9\u5dee\u77e9\u9635\u7684\u7ed3\u6784\u7b49\u3002\u603b\u4e4b\uff0c\u7ebf\u6027\u56de\u5f52\u662f\u4e00\u4e2a\u7b80\u5355\u4f46\u5b9e\u7528\u7684\u6a21\u578b\uff0c\u5b83\u53ef\u4ee5\u7528\u4e8e\u5404\u79cd\u4e0d\u540c\u7684\u573a\u666f\uff0c\u9700\u8981\u6839\u636e\u5177\u4f53\u60c5\u51b5\u9009\u62e9\u5408\u9002\u7684\u4f18\u5316\u7b56\u7565\u548c\u5efa\u6a21\u65b9\u5f0f\u624d\u80fd\u53d6\u5f97\u66f4\u597d\u7684\u6548\u679c\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>\u903b\u8f91\u56de\u5f52<\/strong><\/p>\n\n\n\n<p>Logistic Regression\u662f\u4e00\u79cd\u57fa\u4e8e\u6982\u7387\u5206\u5e03\u7684\u5206\u7c7b\u5668\uff0c\u5b83\u7684\u8f93\u51fa\u4e3a\u7c7b\u522b\u7684\u6982\u7387\u5206\u5e03\u800c\u4e0d\u662f\u5177\u4f53\u7684\u6570\u503c\u3002\u76f8\u5bf9\u4e8e\u7ebf\u6027\u56de\u5f52\uff0cLogistic Regression\u66f4\u52a0\u9002\u5408\u4e8e\u5177\u6709\u4e8c\u5143\u5c5e\u6027\u7684\u5206\u7c7b\u95ee\u9898\uff0c\u6bd4\u5982\u662f\u5426\u5c5e\u4e8e\u67d0\u4e2a\u7fa4\u4f53\u3001\u662f\u5426\u6709\u67d0\u79cd\u75be\u75c5\u7b49\u7b49\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5728\u8f93\u5165\u7a7a\u95f4\u4e0a\u5212\u5206\u51fa\u82e5\u5e72\u4e2a\u533a\u57df\uff0c\u6bcf\u4e2a\u533a\u57df\u5bf9\u5e94\u7740\u67d0\u4e00\u7c7b\u76ee\uff0c\u7136\u540e\u8ba1\u7b97\u6bcf\u4e2a\u6837\u672c\u843d\u5728\u54ea\u4e2a\u533a\u57df\u7684\u53ef\u80fd\u6027\uff0c\u4ece\u800c\u5f97\u51fa\u6574\u4e2a\u6837\u672c\u6240\u5c5e\u7c7b\u522b\u7684\u6982\u7387\u5206\u5e03\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u6765\u8bf4\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u542b\u6709m\u4e2a\u6837\u672c\u7684\u8bad\u7ec3\u96c6\uff0c\u6bcf\u6761\u8bb0\u5f55\u5305\u62ec\u4e24\u4e2a\u7279\u5f81\u503cx1, x2\u4ee5\u53ca\u5bf9\u5e94\u7684\u6807\u7b7ey1, y2\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528logit\u51fd\u6570\u5c06\u6bcf\u4e2a\u6837\u672c\u8f6c\u6362\u6210\u6807\u51c6\u6b63\u6001\u5206\u5e03\u4e0b\u7684\u6bd4\u4f8b\u56e0\u5b50z\uff0c<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"51\" src=\"http:\/\/ai.gitpp.com\/wp-content\/uploads\/2023\/10\/\u56fe\u7247-1.png\" alt=\"\" class=\"wp-image-359\" srcset=\"http:\/\/ai.gitpp.com\/wp-content\/uploads\/2023\/10\/\u56fe\u7247-1.png 354w, http:\/\/ai.gitpp.com\/wp-content\/uploads\/2023\/10\/\u56fe\u7247-1-300x43.png 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u5176\u4e2dww\u8868\u793a\u5411\u91cfxx\u5230\u76ee\u6807\u53d8\u91cfyy\u7684\u6295\u5f71\u65b9\u5411\uff0cbb\u8868\u793a\u8be5\u76f4\u7ebf\u4e0e\u539f\u70b9\u7684\u8ddd\u79bb\u3002\u7531\u4e8elogit\u51fd\u6570\u7684\u7ed3\u679c\u8303\u56f4\u662f\u4ece0\u52301\u4e4b\u95f4\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u89c6\u4e3a\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5373\uff1a <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"483\" height=\"109\" src=\"http:\/\/ai.gitpp.com\/wp-content\/uploads\/2023\/10\/\u56fe\u7247-2.png\" alt=\"\" class=\"wp-image-360\" srcset=\"http:\/\/ai.gitpp.com\/wp-content\/uploads\/2023\/10\/\u56fe\u7247-2.png 483w, http:\/\/ai.gitpp.com\/wp-content\/uploads\/2023\/10\/\u56fe\u7247-2-300x68.png 300w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u5176\u4e2dP(y=k)P(y=k)\u4ee3\u8868\u7b2ck\u79cd\u53ef\u80fd\u6027\u51fa\u73b0\u7684\u6982\u7387\u5927\u5c0f\u3002<\/p>\n\n\n\n<p>\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cLogistic Regression\u4e5f\u5b58\u5728\u7740\u8fc7\u62df\u5408\u7684\u95ee\u9898\uff0c\u6b64\u65f6\u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u4ea4\u53c9\u9a8c\u8bc1\u7684\u65b9\u6cd5\u6765\u8bc4\u4f30\u6a21\u578b\u6027\u80fd\u3002\u6b64\u5916\uff0c\u4e5f\u53ef\u4ee5\u5c1d\u8bd5\u4f7f\u7528\u5176\u5b83\u635f\u5931\u51fd\u6570\u6765\u4ee3\u66ffSoftmax\u635f\u5931\u51fd\u6570\uff0c\u5982hinging loss\u3001squared hinge loss\u7b49\uff0c\u4ee5\u66f4\u597d\u5730\u9002\u5e94\u4e0d\u540c\u7c7b\u578b\u7684\u5206\u7c7b\u95ee\u9898\u3002\u603b\u7684\u6765\u8bf4\uff0cLogistic Regression\u662f\u4e00\u79cd\u975e\u5e38\u7075\u6d3b\u4e14\u9002\u7528\u6027\u5e7f\u6cdb\u7684\u7b97\u6cd5\uff0c\u80fd\u591f\u5e2e\u52a9\u6211\u4eec\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u89e3\u51b3\u8bb8\u591a\u590d\u6742\u7684\u5206\u7c7b\u95ee\u9898\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u51b3\u7b56\u6811<\/strong><\/p>\n\n\n\n<p>Decision Tree Learning\u662f\u4e00\u79cd\u5e38\u89c1\u7684\u76d1\u7763\u5f0f\u5b66\u4e60\u6280\u672f\uff0c\u5b83\u662f\u4e00\u79cd\u6784\u5efa\u51b3\u7b56\u89c4\u5219\u7684\u8fc7\u7a0b\u3002\u51b3\u7b56\u6811\u7531\u4e00\u7cfb\u5217\u8282\u70b9\u7ec4\u6210\uff0c\u8fd9\u4e9b\u8282\u70b9\u6309\u7167\u4e00\u5b9a\u7684\u89c4\u5219\u5c06\u6837\u672c\u5206\u6210\u591a\u4e2a\u5b50\u96c6\u5408\uff0c\u6700\u7ec8\u5f62\u6210\u4e00\u68f5\u5b8c\u6574\u7684\u51b3\u7b56\u6811\u3002\u51b3\u7b56\u6811\u7684\u57fa\u672c\u601d\u60f3\u662f<strong>\u5229\u7528\u9012\u5f52\u7684\u65b9\u5f0f\u9010\u6b65\u5206\u5272\u6837\u672c<\/strong>\uff0c\u76f4\u5230\u6240\u6709\u7684\u6837\u672c\u90fd\u88ab\u5206\u4e3a\u540c\u4e00\u4e2a\u5206\u652f\u4e3a\u6b62\u3002\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u4f1a\u4e0d\u65ad\u5730\u5bfb\u627e\u6700\u4f18\u7684\u5206\u88c2\u51c6\u5219\uff0c\u4ee5\u4fbf\u5c3d\u53ef\u80fd\u5730\u5206\u79bb\u51fa\u76f8\u4f3c\u5ea6\u6700\u9ad8\u7684\u6837\u672c\u3002<\/p>\n\n\n\n<p>\u51b3\u7b56\u6811\u4e00\u822c\u4f1a\u9075\u5faa\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ece\u539f\u59cb\u6570\u636e\u96c6\u4e2d\u968f\u673a\u9009\u53d6\u4e00\u90e8\u5206\u4f5c\u4e3a\u6d4b\u8bd5\u96c6\uff0c\u5176\u4f59\u90e8\u5206\u7528\u4f5c\u8bad\u7ec3\u96c6\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u6837\u672c\uff0c\u4ece\u6839\u8282\u70b9\u5f00\u59cb\u5411\u4e0b\u904d\u5386\uff0c\u4e0d\u65ad\u5bfb\u627e\u6700\u4f18\u7684\u5206\u88c2\u51c6\u5219\u5e76\u5c06\u6837\u672c\u5206\u914d\u5230\u76f8\u5e94\u5206\u652f\u3002<\/li>\n\n\n\n<li>\u6839\u636e\u6240\u9009\u7684\u5206\u53c9\u51c6\u5219\uff0c\u5c06\u6837\u672c\u7ee7\u7eed\u5212\u5206\u4e3a\u66f4\u5c0f\u7684\u5b50\u96c6\u5408\uff0c\u76f4\u81f3\u65e0\u6cd5\u518d\u8fdb\u4e00\u6b65\u7ec6\u5206\u4e3a\u6b62\u3002<\/li>\n\n\n\n<li>\u5728\u6bcf\u4e00\u5c42\u8282\u70b9\u5904\uff0c\u4f7f\u7528\u7279\u5b9a\u7684\u7b97\u6cd5\u786e\u5b9a\u5e94\u8be5\u5c06\u6837\u672c\u5206\u914d\u5230\u54ea\u4e2a\u5206\u652f\uff0c\u540c\u65f6\u66f4\u65b0\u51b3\u7b56\u6811\u7684\u72b6\u6001\u3002<\/li>\n\n\n\n<li>\u5f53\u6240\u6709\u6837\u672c\u90fd\u5df2\u7ecf\u5212\u5206\u5b8c\u6bd5\u540e\uff0c\u5c31\u53ef\u4ee5\u7528\u51b3\u7b56\u6811\u5bf9\u65b0\u6837\u672c\u8fdb\u884c\u9884\u6d4b\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u51b3\u7b56\u6811\u7684\u4e00\u4e2a\u4f18\u70b9\u662f\u53ef\u4ee5\u5f88\u597d\u5730\u5904\u7406\u7f3a\u5931\u503c\u548c\u5f02\u5e38\u503c\u7b49\u95ee\u9898\u3002\u56e0\u4e3a\u5b83\u4eec\u4e0d\u4f1a\u5f71\u54cd\u6811\u7684\u751f\u957f\u8fc7\u7a0b\uff0c\u800c\u662f\u76f4\u63a5\u8df3\u8fc7\u5b83\u4eec\u8fdb\u5165\u4e0b\u4e00\u4e2a\u5c42\u6b21\u3002\u53e6\u5916\uff0c\u51b3\u7b56\u6811\u8fd8\u652f\u6301\u53ef\u89c6\u5316\u5de5\u5177\uff0c\u53ef\u4ee5\u8ba9\u7528\u6237\u76f4\u89c2\u5730\u7406\u89e3\u6a21\u578b\u7684\u884c\u4e3a\u548c\u8868\u73b0\u60c5\u51b5\u3002\u7136\u800c\uff0c\u51b3\u7b56\u6811\u4e5f\u6709\u4e00\u4e9b\u7f3a\u70b9\uff0c\u6bd4\u5982\u5bb9\u6613\u51fa\u73b0\u8fc7\u62df\u5408\u73b0\u8c61\uff0c\u96be\u4ee5\u89e3\u91ca\u6a21\u578b\u5185\u90e8\u7684\u51b3\u7b56\u673a\u5236\u7b49\u3002\u9488\u5bf9\u8fd9\u4e9b\u95ee\u9898\uff0c\u4eba\u4eec\u63d0\u51fa\u4e86\u8bf8\u5982Bagging\u3001Boosting\u7b49\u96c6\u6210\u5b66\u4e60\u6846\u67b6\uff0c\u4ee5\u6539\u5584\u51b3\u7b56\u6811\u7684\u6027\u80fd\u3002\u603b\u4f53\u6765\u770b\uff0c\u51b3\u7b56\u6811\u662f\u4e00\u79cd\u6613\u4e8e\u7406\u89e3\u3001\u64cd\u4f5c\u7b80\u5355\u7684\u6a21\u578b\uff0c\u9002\u7528\u4e8e\u4e2d\u5c0f\u89c4\u6a21\u7684\u6570\u636e\u96c6\uff0c\u5e76\u4e14\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u80fd\u8868\u73b0\u51fa\u5f88\u597d\u7684\u9884\u6d4b\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u652f\u6301\u5411\u91cf\u673a<\/p>\n\n\n\n<p>Support Vector Machines\uff08SVM\uff09\u662f\u4e00\u79cd\u7528\u4e8e\u5206\u7c7b\u95ee\u9898\u7684\u534a\u76d1\u7763\u6216\u65e0\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\u3002\u4e0e\u5176\u4ed6\u7b97\u6cd5\u76f8\u6bd4\uff0cSVM\u7684\u4f18\u52bf\u5728\u4e8e\u5b83\u4e0d\u4ec5\u80fd\u591f\u5145\u5206\u5229\u7528\u5df2\u6709\u7684\u4fe1\u606f\uff0c\u8fd8\u80fd\u591f\u81ea\u52a8\u53d1\u73b0\u9690\u85cf\u5728\u6570\u636e\u80cc\u540e\u7684\u5185\u5728\u89c4\u5f8b\uff0c\u5e76\u5728\u6b64\u57fa\u7840\u4e0a\u5efa\u7acb\u8d77\u6709\u6548\u7684\u5206\u7c7b\u6a21\u578b\u3002<\/p>\n\n\n\n<p>SVM\u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u627e\u5230\u4e00\u7ec4\u8d85\u5e73\u9762\uff0c\u4f7f\u6837\u672c\u5728\u5404\u4e2a\u7ef4\u5ea6\u4e0a\u7684\u5dee\u5f02\u6700\u5927\u7a0b\u5ea6\u4e0a\u88ab\u538b\u7f29\u5728\u4e00\u4e2a\u8f83\u5c0f\u7684\u7a7a\u95f4\u8303\u56f4\u5185\uff0c\u4ece\u800c\u4fdd\u8bc1\u5206\u7c7b\u7684\u51c6\u786e\u6027\u548c\u9c81\u68d2\u6027\u3002\u5177\u4f53\u800c\u8a00\uff0cSVM\u9996\u5148\u5b9a\u4e49\u4e86\u4e00\u4e2a\u6838\u51fd\u6570K\uff0c\u5c06\u6837\u672c\u6620\u5c04\u5230\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u7136\u540e\u518d\u5bf9\u5176\u8fdb\u884c\u5206\u7c7b\u3002\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\uff0cSVM\u4f1a\u5bfb\u627e\u90a3\u4e9b\u80fd\u591f\u5c06\u6837\u672c\u5206\u5f00\u7684\u6700\u77ed\u8fb9\u754c\u7ebf\uff0c\u4e5f\u5c31\u662f\u6240\u8c13\u7684\u201c\u95f4\u9694\u201d\uff0c\u540c\u65f6\u4e5f\u4f1a\u5c3d\u91cf\u4fdd\u6301\u76f8\u90bb\u6837\u672c\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e0d\u5c0f\u4e8e\u67d0\u4e2a\u9884\u8bbe\u503c\u3002\u6700\u540e\uff0cSVM\u4f1a\u5728\u6bcf\u4e2a\u6837\u672c\u5468\u56f4\u753b\u51fa\u4e00\u6761\u4e0e\u5176\u76f8\u5173\u7684\u95f4\u9694\uff0c\u5e76\u5c06\u5176\u770b\u4f5c\u662f\u8be5\u6837\u672c\u6240\u5c5e\u7c7b\u522b\u7684\u754c\u7ebf\u3002<\/p>\n\n\n\n<p>SVM\u7684\u4e3b\u8981\u7279\u70b9\u662f\uff1a<\/p>\n\n\n\n<ol 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