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\/>\n\u5bf9\u5e94&#xff1a;\u65e0\u6b63\u5219\u9879\u3001\u65e0\u53c2\u6570\u9650\u5236\u7684\u539f\u59cb\u635f\u5931\u51fd\u6570\u4f18\u5316\u3002<\/li>\n<li>\u6761\u4ef6\u6781\u503c<br \/>\n\u4f18\u5316\u76ee\u6807&#xff1a;\u6700\u5c0f\u5316 f(\\\\boldsymbol x)<br \/>\n\u540c\u65f6\u5f3a\u5236\u6ee1\u8db3\u7ea6\u675f g(\\\\boldsymbol x)&#061;0<br \/>\n\u51e0\u4f55&#xff1a;\u4f60\u88ab\u9650\u5236\u5728\u66f2\u9762\/\u66f2\u7ebf\u4e4b\u4e0a\u79fb\u52a8&#xff0c;\u4e0d\u80fd\u8d70\u51fa\u8fb9\u754c&#xff0c;\u53ea\u80fd\u5728\u5212\u5b9a\u533a\u57df\u5185\u5bfb\u627e\u6700\u4f4e\u70b9\u3002<\/li>\n<p>\u6bd4\u55bb&#xff1a;<br \/>\n\u68af\u5ea6\u4e0b\u964d\u662f\u6574\u7247\u5c71\u533a\u968f\u4fbf\u627e\u6700\u4f4e\u70b9&#xff1b;<br \/>\n\u6761\u4ef6\u6781\u503c\u76f8\u5f53\u4e8e&#xff1a;\u89c4\u5b9a\u4f60\u53ea\u80fd\u6cbf\u7740\u76d8\u5c71\u516c\u8def\u884c\u8fdb&#xff0c;\u53ea\u80fd\u5728\u8fd9\u6761\u516c\u8def\u4e0a\u5bfb\u627e\u6700\u4f4e\u4f4d\u7f6e\u3002<\/p>\n<p>\u4e8c\u3001\u62c9\u683c\u6717\u65e5\u4e58\u6570\u6cd5\u6838\u5fc3\u601d\u60f3<\/p>\n<p>\u76ee\u6807\u51fd\u6570&#xff1a;f(\\\\boldsymbol x)<br \/>\n\u7b49\u5f0f\u7ea6\u675f&#xff1a;g(\\\\boldsymbol x)&#061;0<\/p>\n<p>\u6784\u9020\u62c9\u683c\u6717\u65e5\u51fd\u6570&#xff1a;<br \/>\nL(\\\\boldsymbol x,\\\\lambda)&#061;f(\\\\boldsymbol x)&#043;\\\\lambda g(\\\\boldsymbol x)<br \/>\n\\\\lambda \u79f0\u4e3a\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u3002<\/p>\n<p>\u6838\u5fc3\u51e0\u4f55\u7ed3\u8bba&#xff08;\u91cd\u4e2d\u4e4b\u91cd&#xff09;<\/p>\n<p>\u6761\u4ef6\u6781\u503c\u70b9\u4f4d\u6ee1\u8db3&#xff1a;\u76ee\u6807\u51fd\u6570\u68af\u5ea6 \\\\nabla f&#xff0c;\u4e0e\u7ea6\u675f\u51fd\u6570\u68af\u5ea6 \\\\nabla g \u76f8\u4e92\u5e73\u884c\u3002<br \/>\n\\\\nabla f &#061; -\\\\lambda \\\\nabla g<\/p>\n<p>\u901a\u4fd7\u89e3\u8bfb&#xff1a;<br \/>\n\u5728\u7ea6\u675f\u66f2\u9762\u4e0a&#xff0c;\u6240\u6709\u53ef\u884c\u524d\u8fdb\u65b9\u5411\u90fd\u548c\u7ea6\u675f\u68af\u5ea6\u5782\u76f4\u3002<br \/>\n\u5018\u82e5 \\\\nabla f \u548c \\\\nabla g \u4e0d\u5e73\u884c&#xff0c;\u6cbf\u7740\u7ea6\u675f\u66f2\u9762\u4f9d\u7136\u5b58\u5728\u4e0b\u5761\u65b9\u5411&#xff0c;\u8fd8\u80fd\u7ee7\u7eed\u4f18\u5316&#xff1b;<br \/>\n\u53ea\u6709\u4e8c\u8005\u5e73\u884c&#xff0c;\u6cbf\u7ea6\u675f\u8fb9\u754c\u518d\u4e5f\u6ca1\u6709\u4f18\u5316\u7a7a\u95f4&#xff0c;\u62b5\u8fbe\u6761\u4ef6\u6781\u503c\u3002<\/p>\n<p>\u4e09\u3001\u62d3\u5c55&#xff1a;\u591a\u7b49\u5f0f\u7ea6\u675f<\/p>\n<p>\u591a\u91cd\u7ea6\u675f\u573a\u666f g_1&#061;0,g_2&#061;0\\\\dots<br \/>\nL&#061;f&#043;\\\\lambda_1 g_1&#043;\\\\lambda_2 g_2&#043;\\\\dots<br \/>\n\u5f15\u5165\u591a\u4e2a\u4e58\u5b50&#xff0c;\u5e95\u5c42\u903b\u8f91\u4e0d\u53d8\u3002<\/p>\n<p>\u56db\u3001\u62d3\u5c55&#xff1a;\u4e0d\u7b49\u5f0f\u7ea6\u675f KKT\u6761\u4ef6&#xff08;AI\u9ad8\u9891\u62d3\u5c55&#xff09;<\/p>\n<p>\u5de5\u7a0b\u91cc\u5927\u91cf\u7ea6\u675f\u4e3a\u4e0d\u7b49\u5f0f g(\\\\boldsymbol x)\\\\le0<br \/>\n\u62c9\u683c\u6717\u65e5\u4e58\u6570\u6cd5\u62d3\u5c55\u4e3aKKT\u6761\u4ef6&#xff0c;\u662f\u901a\u7528\u5e26\u7ea6\u675f\u4f18\u5316\u6846\u67b6\u3002<br \/>\n\u540e\u7eedSVM\u3001\u53c2\u6570\u8303\u56f4\u9650\u5236\u3001\u6a21\u578b\u6b63\u5219\u4f18\u5316\u90fd\u4f1a\u7528\u5230\u3002<\/p>\n<p>\u4e94\u3001\u5927\u6a21\u578b\u843d\u5730\u573a\u666f&#xff08;\u7d27\u6263\u4e3b\u7ebf&#xff09;<\/p>\n<li>\u5d4c\u5165\u5411\u91cf\u5f52\u4e00\u5316\u7ea6\u675f<br \/>\n\u6ce8\u610f\u529b\u673a\u5236\u3001\u8bcd\u5411\u91cf\u5e38\u7528\u7ea6\u675f&#xff1a;\u5411\u91cf\u6a21\u957f |x|&#061;1<br \/>\n\u4f18\u5316\u5411\u91cf\u76f8\u4f3c\u5ea6&#xff0c;\u540c\u65f6\u9501\u5b9a\u5411\u91cf\u957f\u5ea6&#xff0c;\u5178\u578b\u6761\u4ef6\u6781\u503c&#xff0c;\u4f9d\u9760\u62c9\u683c\u6717\u65e5\u4e58\u6570\u63a8\u5bfc\u7406\u8bba\u6700\u4f18\u89e3\u3002<\/li>\n<li>\u6b63\u5219\u5316 &#061; \u9690\u6027\u53c2\u6570\u8303\u56f4\u7ea6\u675f<br \/>\nL2\u6b63\u5219\u672c\u8d28&#xff1a;\u9650\u5236\u6a21\u578b\u53c2\u6570\u6574\u4f53\u89c4\u6a21&#xff0c;\u9632\u6b62\u53c2\u6570\u65e0\u9650\u53d8\u5927\u3002<br \/>\n\u6700\u5c0f\u5316\u635f\u5931 &#043; \u53c2\u6570\u89c4\u6a21\u7ea6\u675f&#xff0c;\u7b49\u4ef7\u6761\u4ef6\u6781\u503c\u95ee\u9898\u3002<\/li>\n<li>\u6700\u5927\u71b5\u539f\u7406&#xff08;\u6982\u7387\u4f53\u7cfb&#xff09;<br 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