{"id":3031,"date":"2025-08-04T09:31:47","date_gmt":"2025-08-04T01:31:47","guid":{"rendered":"https:\/\/www.leexinghai.com\/aic\/?p=3031"},"modified":"2025-09-14T17:52:38","modified_gmt":"2025-09-14T09:52:38","slug":"2-2%e8%af%be%e5%90%8e%e6%80%9d%e8%80%83-%e7%ba%bf%e6%80%a7%e5%8f%af%e5%88%86%e6%9d%a1%e4%bb%b6%e4%b8%8b%e7%9a%84%e6%95%b0%e5%ad%a6%e6%8e%a8%e5%af%bc%e8%af%81%e6%98%8e%e6%bb%a1%e8%b6%b3%e6%9d%a1","status":"publish","type":"post","link":"https:\/\/www.leexinghai.com\/aic\/2-2%e8%af%be%e5%90%8e%e6%80%9d%e8%80%83-%e7%ba%bf%e6%80%a7%e5%8f%af%e5%88%86%e6%9d%a1%e4%bb%b6%e4%b8%8b%e7%9a%84%e6%95%b0%e5%ad%a6%e6%8e%a8%e5%af%bc%e8%af%81%e6%98%8e%e6%bb%a1%e8%b6%b3%e6%9d%a1\/","title":{"rendered":"2.2\u8bfe\u540e\u601d\u8003-\u7ebf\u6027\u53ef\u5206\u6761\u4ef6\u4e0b\u7684\u6570\u5b66\u63a8\u5bfc\u8bc1\u660e\u6ee1\u8db3\u6761\u4ef6\u7684\u5206\u7c7b\u8d85\u5e73\u9762\u552f\u4e00"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u6211\u4eec\u77e5\u9053\u652f\u6301\u5411\u91cf\u673a\u5bfb\u627e\u7684\u6700\u4f18\u5206\u7c7b\u5e94\u5f53\u6ee1\u8db3\u4ee5\u4e0b\u4e09\u4e2a\u6761\u4ef6\uff1a1.\u8be5\u76f4\u7ebf\u5206\u5f00\u4e86\u4e24\u7c7b\uff0c2.\u8be5\u76f4\u7ebf\u6700\u5927\u5316\u95f4\u9694margin\uff0c3.\u8be5\u76f4\u7ebf\u5904\u4e8e\u95f4\u9694\u4e2d\u95f4\uff0c\u5230\u6240\u6709\u652f\u6301\u5411\u91cf\u673a\u7684\u8ddd\u79bb\u76f8\u7b49\u3002<br>\u90a3\u4e48\u662f\u5426\u53ef\u4ee5\u7528\u4e25\u683c\u7684\u6570\u5b66\u8bc1\u660e\uff1a\u5728\u7ebf\u6027\u53ef\u5206\u6761\u4ef6\u4e0b\uff0c\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf\u6ee1\u8db3\u4e0a\u9762\u7684\u4e09\u4e2a\u6761\u4ef6\u5462\uff1f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 \u5173\u952e\u6570\u5b66\u63a8\u5bfc<\/h3>\n\n\n\n<p>1.<strong>\u4f18\u5316\u95ee\u9898\u7684\u5f62\u5f0f<\/strong><br>\u5728\u5b9e\u7528\u63a8\u5bfc\u4e2d\uff0c\u5c06\u95f4\u9694\u95ee\u9898\u7b49\u4ef7\u5730\u8f6c\u4e3a\u51f8\u4e8c\u6b21\u4f18\u5316\u95ee\u9898\uff08Hard\u2011Margin SVM\uff09\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"444\" height=\"66\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image.png\" alt=\"\" class=\"wp-image-3032\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image.png 444w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-300x45.png 300w\" sizes=\"auto, (max-width: 444px) 100vw, 444px\" \/><\/figure>\n<\/div>\n\n\n<p>\u8be5\u76ee\u6807\u51fd\u6570\u662f <strong>\u4e25\u683c\u51f8\u7684<\/strong>\uff08\u56e0\u4e3a\u662f |w|\u00b2\uff09\uff0c\u7ea6\u675f\u6761\u4ef6\u662f\u7ebf\u6027\u7684\uff0c\u56e0\u6b64\u6784\u6210\u4e00\u4e2a <strong>\u4e25\u683c\u51f8\u4f18\u5316\u95ee\u9898<\/strong>\u3002<br>\u4e25\u683c\u51f8\uff0b\u7ebf\u6027\u7ea6\u675f \u21d2 <strong>\u552f\u4e00\u89e3<\/strong> <\/p>\n\n\n\n<p>\u30101\u3011\u53c2\u8003\u6587\u732e\uff1a<a href=\"https:\/\/www.cs.cornell.edu\/courses\/cs4780\/2018fa\/lectures\/lecturenote09.html\" target=\"_blank\" rel=\"noreferrer noopener\">web.mit.edu <\/a> | <a href=\"https:\/\/www.geeksforgeeks.org\/machine-learning\/support-vector-machine-algorithm\/?utm_source=chatgpt.com\" target=\"_blank\" rel=\"noreferrer noopener\">GeeksforGeeks<\/a> | <a href=\"https:\/\/papers.neurips.cc\/paper\/1735-uniqueness-of-the-svm-solution.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">NeurIPS \u8bba\u6587\u96c6<\/a>\u3002<\/p>\n\n\n\n<p>2.<strong>\u4e25\u683c\u51f8\u6027\u5bfc\u81f4\u552f\u4e00\u6027<\/strong><br>\u4e25\u683c\u51f8\u51fd\u6570\u5728\u51f8\u53ef\u884c\u57df\u5185\u53ea\u80fd\u6709\u4e00\u4e2a\u5168\u5c40\u6700\u5c0f\u70b9\uff08\u6700\u4f18\u89e3\uff09\u3002\u8fd9\u91cc\u7684 Hessian \u6b63\u5b9a\uff0c\u4ece\u800c\u4fdd\u8bc1\u552f\u4e00\u6027 <\/p>\n\n\n\n<p>\u30102\u3011\u53c2\u8003\u6587\u732e\uff1a<a href=\"https:\/\/papers.neurips.cc\/paper\/1735-uniqueness-of-the-svm-solution.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">NeurIPS \u8bba\u6587\u96c6<\/a>\u3002<\/p>\n\n\n\n<p>3.<strong>\u51e0\u4f55\u76f4\u89c2\u89e3\u91ca<\/strong><br>\u867d\u7136\u5728\u7eaf\u201c\u7ebf\u6027\u53ef\u5206\u201d\u524d\u63d0\u4e0b\uff0c\u786e\u5b9e\u5b58\u5728\u65e0\u9650\u591a\u6761\u5206\u9694\u76f4\u7ebf\uff08\u53ef\u4ee5\u968f\u610f\u5e73\u79fb\u3001\u503e\u659c\uff09\uff0c\u4f46<strong>\u6700\u5927\u5316\u95f4\u9694<\/strong>\u7684\u8fd9\u4e00\u9644\u52a0\u6761\u4ef6<strong>\u53ea\u5141\u8bb8\u4e00\u4e2a\u6700\u4f18\u89e3<\/strong>\u3002<br>\u6362\u53e5\u8bdd\u8bf4\uff0c\u5728\u6240\u6709\u80fd\u6b63\u786e\u5206\u7c7b\u7684\u89e3\u4e2d\uff0c\u53ea\u6709\u4e00\u6761\u8d85\u5e73\u9762\u80fd\u4f7f\u5230\u4e24\u7c7b\u6700\u8fd1\u70b9\uff08\u652f\u6301\u5411\u91cf\uff09\u7684\u95f4\u9694\u6700\u5927 <\/p>\n\n\n\n<p>\u30103\u3011\u53c2\u8003\u6587\u732e\uff1a<a href=\"https:\/\/cs.uwaterloo.ca\/~y328yu\/teaching\/480\/480-note-svm.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">\u725b\u6d25\u5927\u5b66\u673a\u5668\u4eba\u7814\u7a76\u6240 \u6ed1\u94c1\u5362\u5927\u5b66\u8ba1\u7b97\u673a\u7cfb<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/ece.iisc.ac.in\/~parimal\/2021\/ml\/lecture-03.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">healy.econ.ohio-state.edu: Statistics Online Courses<\/a>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u270f\ufe0f \u603b\u7ed3\u4e00\u53e5\u8bdd<\/h3>\n\n\n\n<p>\u5728\u6570\u636e\u4e25\u683c\u7ebf\u6027\u53ef\u5206\u7684\u6761\u4ef6\u4e0b\uff0cHard\u2011Margin SVM \u7684\u4f18\u5316\u95ee\u9898\u662f\u4e00\u4e2a\u4e25\u683c\u51f8\u7684\u4e8c\u6b21\u89c4\u5212\u95ee\u9898\uff0c\u56e0\u6b64\u5176\u6700\u4f18\u89e3 \u2014\u2014 \u5373\u6ee1\u8db3\u201c\u5206\u9694+\u6700\u5927\u5316\u95f4\u9694\u4e14\u4f4d\u4e8e\u4e2d\u95f4\u201d\u7684\u90a3\u6761\u8d85\u5e73\u9762 \u2014\u2014 \u662f<strong>\u5168\u5c40\u552f\u4e00<\/strong>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 \u62d3\u5c55\u601d\u8003<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5982\u679c\u6570\u636e\u5141\u8bb8\u8f6f\u95f4\u9694\uff08slack \u53d8\u91cf\uff09\uff0c\u95ee\u9898\u4ecd\u4e3a\u51f8\uff0c\u4f46\u53ef\u80fd<strong>\u4e0d\u4e25\u683c\u51f8<\/strong>\uff0c\u4ece\u800c\u4e0d\u4e00\u5b9a\u4fdd\u8bc1\u552f\u4e00\u89e3\uff08\u5c24\u5176\u5728\u67d0\u4e9b\u8fb9\u754c\u914d\u7f6e\u4e0b\uff09\u3010\u53c2\u8003\u6587\u732e\u3011\uff1a<a href=\"https:\/\/www.geeksforgeeks.org\/machine-learning\/support-vector-machine-algorithm\/\" target=\"_blank\" rel=\"noreferrer noopener\">GeeksforGeeks\u8ba1\u7b97\u673a\u79d1\u5b66\u7cfb<\/a>\u3002<\/li>\n\n\n\n<li>\u5728\u5947\u5f02\u914d\u7f6e\u4e0b\uff08\u5982\u652f\u6301\u5411\u91cf\u6570\u91cf\u8d85\u8fc7\u6570\u636e\u7ef4\u5ea6+1\uff09\uff0c\u867d\u7136\u89e3\u4ecd\u552f\u4e00\uff0c\u4f46\u652f\u6301\u5411\u91cf\u7ec4\u5408\u53ef\u80fd\u4e0d\u552f\u4e00 \u3010\u53c2\u8003\u6587\u732e\u3011\uff1a<a href=\"https:\/\/ece.iisc.ac.in\/~parimal\/2021\/ml\/lecture-03.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">\u8ba1\u7b97\u673a\u79d1\u5b66\u7cfbNeurIPS \u8bba\u6587\u96c6<\/a>\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>\u7ed3\u8bba<\/strong>\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u5728\u201c\u786c\u95f4\u9694\u7ebf\u6027\u53ef\u5206\u201d\u524d\u63d0\u4e0b\uff0c\u53ea\u5b58\u5728\u4e00\u6761\u6ee1\u8db3\u201c\u4e09\u5927\u6761\u4ef6\u201d\u7684\u6700\u4f18\u5206\u9694\u76f4\u7ebf\u3002\u7528<strong>\u4e25\u683c\u51f8\u6027 + \u4e00\u9636\u6700\u4f18\/\u4e8c\u9636\u6761\u4ef6<\/strong>\u7ed3\u5408\u53ef\u4ee5\u4e25\u683c\u8bc1\u660e\u5176\u552f\u4e00\u6027\u3002<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u6211\u4eec\u77e5\u9053\u652f\u6301\u5411\u91cf\u673a\u5bfb\u627e\u7684\u6700\u4f18\u5206\u7c7b\u5e94\u5f53\u6ee1\u8db3\u4ee5\u4e0b\u4e09\u4e2a\u6761\u4ef6\uff1a1.\u8be5\u76f4\u7ebf\u5206\u5f00\u4e86\u4e24\u7c7b\uff0c2.\u8be5\u76f4\u7ebf\u6700\u5927\u5316\u95f4\u9694margin\uff0c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3045,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[63],"tags":[],"class_list":["post-3031","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mlsh"],"_links":{"self":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/3031","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/comments?post=3031"}],"version-history":[{"count":6,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/3031\/revisions"}],"predecessor-version":[{"id":3350,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/3031\/revisions\/3350"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/media\/3045"}],"wp:attachment":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/media?parent=3031"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/categories?post=3031"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/tags?post=3031"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}