{"id":406,"date":"2021-12-21T16:48:02","date_gmt":"2021-12-21T08:48:02","guid":{"rendered":"http:\/\/139.9.1.231\/?p=406"},"modified":"2021-12-21T16:48:03","modified_gmt":"2021-12-21T08:48:03","slug":"svm","status":"publish","type":"post","link":"http:\/\/139.9.1.231\/index.php\/2021\/12\/21\/svm\/","title":{"rendered":"\u652f\u6301\u5411\u91cf\u673a &#8211;SVM"},"content":{"rendered":"\n<p>\u53c2\u8003\u6587\u7ae0\uff1a\u652f\u6301\u5411\u91cf\u673a\u901a\u4fd7\u5bfc\u8bba<\/p>\n\n\n\n<p><a one-link-mark=\"yes\" href=\"https:\/\/blog.csdn.net\/v_july_v\/article\/details\/7624837\">https:\/\/blog.csdn.net\/v_july_v\/article\/details\/7624837<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-style-default\"><img src=\"https:\/\/ssyerv1.oss-cn-hangzhou.aliyuncs.com\/picture\/2db5bf0e697a482eadcdfae17f0c2ff4.jpg!sswm\" alt=\"\"\/><figcaption>\u51ac\u81f3\uff1a\u767d\u5929\u6700\u662f\u65f6\u5149\u77ed\uff0c\u51db\u51bd\u5bd2\u51ac\u65e9\u5f52\u5bb6<\/figcaption><\/figure>\n\n\n\n<p>&nbsp;\u7ebf\u6027\u5206\u7c7b<br>\u5728\u8bad\u7ec3\u6570\u636e\u4e2d\uff0c\u6bcf\u4e2a\u6570\u636e\u90fd\u6709n\u4e2a\u7684\u5c5e\u6027\u548c\u4e00\u4e2a\u4e8c\u7c7b\u7c7b\u522b\u6807\u5fd7\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a\u8fd9\u4e9b\u6570\u636e\u5728\u4e00\u4e2an\u7ef4\u7a7a\u95f4\u91cc\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u627e\u5230\u4e00\u4e2an-1\u7ef4\u7684\u8d85\u5e73\u9762\uff08hyperplane\uff09\uff0c\u8fd9\u4e2a\u8d85\u5e73\u9762\u53ef\u4ee5\u5c06\u6570\u636e\u5206\u6210\u4e24\u90e8\u5206\uff0c\u6bcf\u90e8\u5206\u6570\u636e\u90fd\u5c5e\u4e8e\u540c\u4e00\u4e2a\u7c7b\u522b\u3002\u5176\u5b9e\u8fd9\u6837\u7684\u8d85\u5e73\u9762\u6709\u5f88\u591a\uff0c\u6211\u4eec\u8981\u627e\u5230\u4e00\u4e2a\u6700\u4f73\u7684\u3002\u56e0\u6b64\uff0c\u589e\u52a0\u4e00\u4e2a\u7ea6\u675f\u6761\u4ef6\uff1a\u8fd9\u4e2a\u8d85\u5e73\u9762\u5230\u6bcf\u8fb9\u6700\u8fd1\u6570\u636e\u70b9\u7684\u8ddd\u79bb\u662f\u6700\u5927\u7684\u3002\u4e5f\u6210\u4e3a\u6700\u5927\u95f4\u9694\u8d85\u5e73\u9762\uff08maximum-margin hyperplane\uff09\u3002\u8fd9\u4e2a\u5206\u7c7b\u5668\u4e5f\u6210\u4e3a\u6700\u5927\u95f4\u9694\u5206\u7c7b\u5668\uff08maximum-margin classifier\uff09\u3002\u652f\u6301\u5411\u91cf\u673a\u662f\u4e00\u4e2a\u4e8c\u7c7b\u5206\u7c7b\u5668\u3002<\/p>\n\n\n\n<p>\u975e\u7ebf\u6027\u5206\u7c7b<br>SVM\u7684\u4e00\u4e2a\u4f18\u52bf\u662f\u652f\u6301\u975e\u7ebf\u6027\u5206\u7c7b\u3002\u5b83\u7ed3\u5408\u4f7f\u7528\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\u548cKKT\u6761\u4ef6\uff0c\u4ee5\u53ca\u6838\u51fd\u6570\u53ef\u4ee5\u4ea7\u751f\u975e\u7ebf\u6027\u5206\u7c7b\u5668\u3002<\/p>\n\n\n\n<p><strong>\u4ee5\u4e0b\u6458\u81ea<\/strong>  \u652f\u6301\u5411\u91cf\u673a\u901a\u4fd7\u5bfc\u8bba <a href=\"https:\/\/blog.csdn.net\/v_july_v\/article\/details\/7624837\">https:\/\/blog.csdn.net\/v_july_v\/article\/details\/7624837<\/a><\/p>\n\n\n\n<p>\u652f\u6301\u5411\u91cf\u673a\uff0c\u56e0\u5176\u82f1\u6587\u540d\u4e3a Support Vector Machine\uff0c\u6545\u4e00\u822c\u7b80\u79f0 SVM\uff0c\u901a\u4fd7<br>\u6765\u8bb2\uff0c\u5b83\u662f\u4e00\u79cd<strong><em>\u4e8c\u7c7b\u5206\u7c7b\u6a21\u578b<\/em><\/strong>\uff0c\u5176\u57fa\u672c\u6a21\u578b\u5b9a\u4e49\u4e3a\u7279\u5f81\u7a7a\u95f4\u4e0a\u7684\u95f4\u9694\u6700\u5927\u7684\u7ebf<br>\u6027\u5206\u7c7b\u5668\uff0c\u5176\u5b66\u4e60\u7b56\u7565\u4fbf\u662f\u95f4\u9694\u6700\u5927\u5316\uff0c\u6700\u7ec8\u53ef\u8f6c\u5316\u4e3a\u4e00\u4e2a\u51f8\u4e8c\u6b21\u89c4\u5212\u95ee\u9898\u7684\u6c42\u89e3\u3002<br><\/p>\n\n\n\n<p><strong>\u51f8\u4e8c\u6b21\u4f18\u5316<\/strong>\uff1a<a href=\"https:\/\/zhuanlan.zhihu.com\/p\/100041443\">https:\/\/zhuanlan.zhihu.com\/p\/100041443<\/a><\/p>\n\n\n\n<p>\u51f8\u51fd\u6570\uff1a\u76f4\u89c2\u6765\u8bb2\u5c31\u662f\u5f62\u72b6\u770b\u4e0a\u53bb<strong>\u201c\u51f9\u201d<\/strong>\u4e0b\u53bb\u7684\u51fd\u6570\uff0c\u6ce8\u610f\u53ef<strong>\u4e0d\u662f\u770b\u4e0a\u53bb\u201c\u51f8\u201d\u7684<\/strong>\u51fd\u6570<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-style-default\"><img src=\"https:\/\/pic3.zhimg.com\/v2-169bd4f981ad36d1e093aa178119d1be_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>\u51f8\u4f18\u5316\u7684\u5f62\u5f0f\u5316\u5b9a\u4e49:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-style-default\"><img src=\"https:\/\/pic3.zhimg.com\/v2-8ce076d464b7d766b4cf69987e2de746_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u5176\u4e2d\uff0c\u00a0x\u00a0\u4e3a\u51b3\u7b56\u53d8\u91cf\uff0c\u00a0f\u548cg\u00a0\u5747\u4e3a\u51f8\u51fd\u6570\uff0c\u00a0h\u4e3a\u4eff\u5c04(\u7ebf\u6027)\u51fd\u6570\u3002\u00a0<\/p>\n\n\n\n<p><a href=\"https:\/\/www.cnblogs.com\/90zeng\/p\/Lagrange_duality.html\">\u62c9\u683c\u6717\u65e5\u5bf9\u5076\uff08Lagrange duality\uff09<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.cnblogs.com\/90zeng\/p\/Lagrange_duality.html\">https:\/\/www.cnblogs.com\/90zeng\/p\/Lagrange_duality.html<\/a><\/p>\n\n\n\n<p>\u00a0\u00a0<strong>KKT\u6761\u4ef6<\/strong><\/p>\n\n\n\n<p>\u540c\u65f6\u5305\u542b\u7b49\u5f0f\u7ea6\u675f\u548c\u4e0d\u7b49\u5f0f\u7ea6\u675f:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized is-style-default\"><img loading=\"lazy\" src=\"https:\/\/pic4.zhimg.com\/v2-f30f5265e2b46226826e334b9d3d2b87_r.jpg\" alt=\"\" width=\"288\" height=\"84\"\/><\/figure>\n\n\n\n<p>\u5b9a\u4e49Lagrange\u51fd\u6570:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized is-style-default\"><img loading=\"lazy\" src=\"https:\/\/pic2.zhimg.com\/v2-bcb97fea5dfcb8c30cec565c0f3e4991_r.jpg\" alt=\"\" width=\"452\" height=\"57\"\/><\/figure>\n\n\n\n<p>\u6b64\u65f6&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized is-style-default\"><img loading=\"lazy\" src=\"https:\/\/www.zhihu.com\/equation?tex=x%5E%7B%2A%7D\" alt=\"[\u516c\u5f0f]\" width=\"20\" height=\"20\"\/><\/figure>\n\n\n\n<p>\u00a0\u6ee1\u8db3\u7684\u5fc5\u8981\u6761\u4ef6\u4e3a:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized is-style-default\"><img loading=\"lazy\" src=\"https:\/\/pic4.zhimg.com\/v2-e07e841234fd27155cfeb227f1c487f7_r.jpg\" alt=\"\" width=\"222\" height=\"124\"\/><\/figure>\n\n\n\n<p>\u5927\u540d\u9f0e\u9f0e\u7684SVM\u7b97\u6cd5\u3002\u673a\u5668\u5b66\u4e60\u53d1\u5c55\u5386\u53f2\u4e0a\u4e00\u9897\u7480\u74a8\u7684\u660e\u73e0\u3002\u76f8\u4fe1\u5f88\u591a\u63a5\u89e6\u673a\u5668\u5b66\u4e60\u7684\u540c\u5b66\u90fd\u662f\u4eceSVM\u5f00\u59cb\u7684\u3002<\/p>\n\n\n\n<p>SVM\u662f\u4e3a\u5c0f\u6837\u672c\u5b66\u4e60\u8bbe\u8ba1\u7684\uff0c\u800c\u5de5\u4e1a\u754c(\u5c24\u5176\u662f\u4e92\u8054\u7f51\u9886\u57df)\u4e0d\u7f3a\u5c11\u6570\u636e\uff0c\u540c\u65f6SVM\u8bad\u7ec3\u6548\u7387\u8f83\u4f4e\u4e14\u4e0d\u5bb9\u6613\u8c03\u8bd5\uff0c\u540c\u65f6\u4e0d\u5982LR\u6a21\u578b\u53ef\u89e3\u91ca\u884c\u5f3a\u3002\u6240\u4ee5SVM\u5e38\u89c1\u4e8e\u5b9e\u9a8c\u5ba4\u800c\u5728\u4e92\u8054\u7f51\u9886\u57df\u9c9c\u6709\u5e94\u7528\u3002\u4e0d\u8fc7SVM\u5c06\u95ee\u9898\u5efa\u6a21\u4e3a\u201c\u6709\u7ea6\u675f\u51f8\u4e8c\u6b21\u4f18\u5316\u95ee\u9898\u201d\uff0c\u5176\u6c42\u89e3\u8fc7\u7a0b\u975e\u5e38\u5177\u6709\u4ee3\u8868\u6027\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-style-default\"><img src=\"https:\/\/pic1.zhimg.com\/v2-465767e3d0f2b5202b00bc1e01a9f950_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u4e0a\u8ff0\u8fc7\u7a0b\u5c06\u539f\u6709\u95ee\u9898\u901a\u8fc7\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\u8f6c\u6362\u4e3a\u5bf9\u5076\u95ee\u9898\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-style-default\"><img src=\"https:\/\/pic3.zhimg.com\/v2-05221caa6efcb37e417ca2be7a05f006_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u4e0a\u8ff0\u8fc7\u7a0b\u901a\u8fc7\u5404\u79cd\u6d88\u5143trick\u5c06\u95ee\u9898\u8f6c\u6362\u6210\u53ea\u6709\u4e00\u7c7b\u5bf9\u5076\u53d8\u91cf&nbsp;<img src=\"https:\/\/www.zhihu.com\/equation?tex=a%5E%7B%2A%7D\" alt=\"[\u516c\u5f0f]\">&nbsp;\u7684\u5f62\u5f0f\uff0c\u51cf\u5c0f\u4e86\u6c42\u89e3\u96be\u5ea6\u3002\u5728\u5b9e\u9645SVM\u5de5\u5177\u5305\u4e2d\u901a\u5e38\u91c7\u7528SMO\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u6240\u6709\u53d8\u91cf\u7684\u89e3\u90fd\u6ee1\u8db3\u6b64\u6700\u4f18\u5316\u95ee\u9898\u7684KKT\u6761\u4ef6\uff08Karush-Kuhn-Tucker conditions\uff09\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6700\u4f18\u5316\u95ee\u9898\u7684\u89e3\u5c31\u5f97\u5230\u4e86\u3002\u56e0\u4e3aKKT\u6761\u4ef6\u662f\u8be5\u6700\u4f18\u5316\u95ee\u9898\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u3002\u5426\u5219\uff0c\u9009\u62e9\u4e24\u4e2a\u53d8\u91cf\uff0c\u56fa\u5b9a\u5176\u4ed6\u53d8\u91cf\uff0c\u9488\u5bf9\u8fd9\u4e24\u4e2a\u53d8\u91cf\u6784\u5efa\u4e00\u4e2a\u4e8c\u6b21\u89c4\u5212\u95ee\u9898\u3002\u8fd9\u4e2a\u4e8c\u6b21\u89c4\u5212\u95ee\u9898\u5173\u4e8e\u8fd9\u4e24\u4e2a\u53d8\u91cf\u7684\u89e3\u5e94\u8be5\u66f4\u63a5\u8fd1\u539f\u59cb\u4e8c\u6b21\u89c4\u5212\u95ee\u9898\u7684\u89e3\uff0c\u56e0\u4e3a\u8fd9\u4f1a\u4f7f\u5f97\u539f\u59cb\u4e8c\u6b21\u89c4\u5212\u95ee\u9898\u7684\u76ee\u6807\u51fd\u6570\u503c\u53d8\u5f97\u66f4\u5c0f\u3002\u91cd\u8981\u7684\u662f\uff0c\u8fd9\u65f6\u5b50\u95ee\u9898\u53ef\u4ee5\u901a\u8fc7\u89e3\u6790\u65b9\u6cd5\u6c42\u89e3\uff0c\u8fd9\u6837\u5c31\u53ef\u4ee5\u5927\u5927\u63d0\u9ad8\u6574\u4e2a\u7b97\u6cd5\u7684\u8ba1\u7b97\u901f\u5ea6\u3002\u5b50\u95ee\u9898\u6709\u4e24\u4e2a\u53d8\u91cf\uff0c\u4e00\u4e2a\u662f\u8fdd\u53cdKKT\u6761\u4ef6\u6700\u4e25\u91cd\u7684\u90a3\u4e00\u4e2a\uff0c\u53e6\u4e00\u4e2a\u7531\u7ea6\u675f\u6761\u4ef6\u81ea\u52a8\u786e\u5b9a\u3002\u5982\u6b64\uff0cSMO\u7b97\u6cd5\u5c06\u539f\u95ee\u9898\u4e0d\u65ad\u5206\u89e3\u4e3a\u5b50\u95ee\u9898\u5e76\u5bf9\u5b50\u95ee\u9898\u6c42\u89e3\uff0c\u8fdb\u800c\u8fbe\u5230\u6c42\u89e3\u539f\u95ee\u9898\u7684\u76ee\u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-style-default\"><img src=\"https:\/\/pic4.zhimg.com\/v2-c7a63e4836ec5b02daed6ca9b4b56033_r.jpg\" alt=\"\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u53c2\u8003\u6587\u7ae0\uff1a\u652f\u6301\u5411\u91cf\u673a\u901a\u4fd7\u5bfc\u8bba https:\/\/blog.csdn.net\/v_july_v\/article\/d &hellip; <a href=\"http:\/\/139.9.1.231\/index.php\/2021\/12\/21\/svm\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u652f\u6301\u5411\u91cf\u673a &#8211;SVM<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[],"_links":{"self":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/406"}],"collection":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/comments?post=406"}],"version-history":[{"count":19,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/406\/revisions"}],"predecessor-version":[{"id":505,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/406\/revisions\/505"}],"wp:attachment":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/media?parent=406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/categories?post=406"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/tags?post=406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}