{"id":885,"date":"2022-09-27T18:45:28","date_gmt":"2022-09-27T10:45:28","guid":{"rendered":"http:\/\/viplao.com\/?p=885"},"modified":"2023-07-11T06:34:52","modified_gmt":"2023-07-10T22:34:52","slug":"%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b","status":"publish","type":"post","link":"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/","title":{"rendered":"\u6570\u5b57\u5316\u8fd0\u7ef4 \u2013 \u5f02\u5e38\u6570\u636e\u5206\u6790\u5b9e\u8df5\uff0c\u5b64\u7acb\u68ee\u6797\u5f02\u5e38\u68c0\u6d4b\u7b97\u6cd5\u539f\u7406\u548c\u5b9e\u6218"},"content":{"rendered":"\n<p>\u5b64\u7acb\u68ee\u6797(isolation Forest)\u7b97\u6cd5\uff0c2008\u5e74\u7531\u5218\u98de\u3001\u5468\u5fd7\u534e\u7b49\u63d0\u51fa\uff0c\u7b97\u6cd5\u4e0d\u501f\u52a9\u7c7b\u4f3c\u8ddd\u79bb\u3001\u5bc6\u5ea6\u7b49\u6307\u6807\u53bb\u63cf\u8ff0\u6837\u672c\u4e0e\u5176\u4ed6\u6837\u672c\u7684\u5dee\u5f02\uff0c\u800c\u662f\u76f4\u63a5\u53bb\u523b\u753b\u6240\u8c13\u7684<strong>\u758f\u79bb\u7a0b\u5ea6(isolation)<\/strong>\uff0c\u56e0\u6b64\u8be5\u7b97\u6cd5\u7b80\u5355\u3001\u9ad8\u6548\uff0c\u5728\u5de5\u4e1a\u754c\u5e94\u7528\u8f83\u591a\u3002<\/p>\n\n\n\n<p>Isolation Forest\u7b97\u6cd5\u7684\u903b\u8f91\u5f88\u76f4\u89c2\uff0c\u7b97\u6cd5\u91c7\u7528\u4e8c\u53c9\u6811\u5bf9\u6570\u636e\u8fdb\u884c\u5206\u88c2\uff0c\u6837\u672c\u9009\u53d6\u3001\u7279\u5f81\u9009\u53d6\u3001\u5206\u88c2\u70b9\u9009\u53d6\u90fd\u91c7\u7528\u968f\u673a\u5316\u7684\u65b9\u5f0f\u3002\u5982\u679c\u67d0\u4e2a\u6837\u672c\u662f\u5f02\u5e38\u503c\uff0c\u53ef\u80fd\u9700\u8981\u5f88\u5c11\u6b21\u6570\u5c31\u53ef\u4ee5\u5207\u5206\u51fa\u6765\uff0c\u770b\u770b\u4e0b\u9762\u8fd9\u4e2a\u4e0d\u5927\u6070\u5f53\u7684\u4f8b\u5b50\u3002<\/p>\n\n\n\n<p>\u7ed9\u4f60\u6839\u68cd\u5b50\uff0c\u8fd8\u628a\u4f60\u773c\u775b\u8499\u4e0a\uff0c\u8981\u628a\u4e0b\u9762\u7684\u767d\u68cb\u5df4\u62c9\u51fa\u6765\uff0c\u627e\u4e2a\u4eba\u5728\u8fb9\u4e0a\u7ed9\u4f60\u8ba1\u6570\uff0c\u770b\u591a\u5c11\u6b21\u80fd\u5206\u51fa\u6765\uff0c<strong>A<\/strong>\u8fd9\u4e00\u5806\uff0c\u9700\u8981\u7684\u6b21\u6570\u975e\u5e38\u591a\uff0c\u53ef\u80fd\u4e00\u65e9\u4e0a\u4f60\u90fd\u5df4\u62c9\u4e0d\u51fa\u6765\uff1b\u800c<strong>B<\/strong>\u8fd9\u4e00\u5806\uff0c\u53ef\u80fd\u4e00\u6b21\u5c31\u5df4\u62c9\u51fa\u6765\u4e86\uff0c\u9700\u8981\u7684\u6b21\u6570\u975e\u5e38\u5c11\uff0c\u90a3\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u5df4\u62c9\u7684\u6b21\u6570\u6765\u8861\u91cf\u4e00\u4e2a\u70b9\u7684\u5f02\u5e38\u7a0b\u5ea6\u4e86\uff0c\u5df4\u62c9\u7684\u6b21\u6570\u8d8a\u5c11\uff0c\u8d8a\u4e0d\u5408\u7fa4\uff0c\u4e5f\u5c31\u8d8a\u5f02\u5e38\u3002\u4e00\u4e2a\u4eba\u5df4\u62c9\u53ef\u80fd\u5b58\u5728\u968f\u673a\u6027\uff0c\u4e0d\u5927\u51c6\uff0c\u90a3\u6211\u4eec\u627e100\u4e2a\u4eba\u6765\u5df4\u62c9\uff0c\u7136\u540e\u5c06\u6bcf\u4e2a\u4eba\u5df4\u62c9\u7684\u6b21\u6570\u53d6\u7684\u5e73\u5747\uff0c\u90a3\u4e0d\u5c31\u51c6\u4e86\uff0c\u5b64\u7acb\u68ee\u6797\uff0c\u5927\u6982\u4e5f\u5c31\u662f\u8fd9\u4e2a\u601d\u60f3\u4e86\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic4.zhimg.com\/80\/v2-40f78a24d3fcd4e2697690926c84ab9f_720w.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\u662f\u968f\u673a\u68ee\u6797\u7684\u4e00\u79cd\u6539\u826f\u7b97\u6cd5\u3002\u5176\u6838\u5fc3\u7684\u89c2\u70b9\u601d\u8def\u662f<strong>\u8ba4\u5b9a\u5f02\u5e38\u70b9\u6570\u91cf\u8f83\u5c11\u5e76\u4e14\u76f8\u6bd4\u5176\u4ed6\u6570\u636e\u70b9\u8f83\u4e3a\u758f\u79bb\uff0c\u53ea\u9700\u8981\u5c11\u6570\u7684\u5206\u5272\u5373\u53ef\u505a\u5230\u5b8c\u5168\u9694\u79bb<\/strong>\u8fd9\u662f\u4e00\u79cd\u9002\u7528\u4e8e<strong>\u8fde\u7eed\u6570\u636e<\/strong>\u7684<strong>\u65e0\u76d1\u7763<\/strong>\u5f02\u5e38\u68c0\u6d4b\u65b9\u6cd5\u3002<\/p>\n<\/blockquote>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_71 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u6587\u7ae0\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 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title=\"\u4e00\u3001\u7406\u89e3\u5b64\u7acb\u68ee\u6797\">\u4e00\u3001\u7406\u89e3\u5b64\u7acb\u68ee\u6797<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#%E4%BA%8C%E3%80%81%E5%AD%A4%E7%AB%8B%E6%A3%AE%E6%9E%97%E7%AE%97%E6%B3%95%E8%AF%A6%E8%A7%A3\" title=\"\u4e8c\u3001\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\u8be6\u89e3\">\u4e8c\u3001\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\u8be6\u89e3<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" 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href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#5%E3%80%81%E8%AE%A1%E7%AE%97%E5%BC%82%E5%B8%B8%E5%88%86\" title=\"5\u3001\u8ba1\u7b97\u5f02\u5e38\u5206\">5\u3001\u8ba1\u7b97\u5f02\u5e38\u5206<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#%E5%9B%9B%E3%80%81%E5%AD%A4%E7%AB%8B%E6%A3%AE%E6%9E%97%E5%8F%82%E6%95%B0\" title=\"\u56db\u3001\u5b64\u7acb\u68ee\u6797\u53c2\u6570\">\u56db\u3001\u5b64\u7acb\u68ee\u6797\u53c2\u6570<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#1%E3%80%81%E5%9F%BA%E6%9C%AC%E7%94%A8%E6%B3%95\" title=\"1\u3001\u57fa\u672c\u7528\u6cd5\">1\u3001\u57fa\u672c\u7528\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#2%E3%80%81%E5%8F%82%E6%95%B0%E8%AF%A6%E8%A7%A3\" title=\"2\u3001\u53c2\u6570\u8be6\u89e3\">2\u3001\u53c2\u6570\u8be6\u89e3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#3%E3%80%81%E5%B1%9E%E6%80%A7\" title=\"3\u3001\u5c5e\u6027\">3\u3001\u5c5e\u6027<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#4%E3%80%81%E6%96%B9_%E6%B3%95\" title=\"4\u3001\u65b9 \u6cd5\">4\u3001\u65b9 \u6cd5<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#%E4%BA%94%E3%80%81%E5%BA%94%E7%94%A8%E6%A1%88%E4%BE%8B\" title=\"\u4e94\u3001\u5e94\u7528\u6848\u4f8b\">\u4e94\u3001\u5e94\u7528\u6848\u4f8b<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#1%E3%80%81%E6%A8%A1%E5%9E%8B%E8%AE%AD%E7%BB%83\" title=\"1\u3001\u6a21\u578b\u8bad\u7ec3\">1\u3001\u6a21\u578b\u8bad\u7ec3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#2%E3%80%81%E6%A8%A1%E5%9E%8B%E5%8F%AF%E8%A7%86%E5%8C%96\" title=\"2\u3001\u6a21\u578b\u53ef\u89c6\u5316\">2\u3001\u6a21\u578b\u53ef\u89c6\u5316<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#%E7%BB%93_%E8%AE%BA\" title=\"\u7ed3 \u8bba\">\u7ed3 \u8bba<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/#%E4%B8%80%E4%B8%AA%E7%94%9F%E5%8A%A8%E7%9A%84%E4%BE%8B%E5%AD%90\" title=\"\u4e00\u4e2a\u751f\u52a8\u7684\u4f8b\u5b50\">\u4e00\u4e2a\u751f\u52a8\u7684\u4f8b\u5b50<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%BD%BF%E7%94%A8%E5%9C%BA%E6%99%AF\"><\/span>\u4f7f\u7528\u573a\u666f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\u662f\u57fa\u4e8e Ensemble \u7684\u5f02\u5e38\u68c0\u6d4b\u65b9\u6cd5\uff0c\u56e0\u6b64\u5177\u6709\u7ebf\u6027\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002\u4e14\u7cbe\u51c6\u5ea6\u8f83\u9ad8\uff0c\u5728\u5904\u7406\u5927\u6570\u636e\u65f6\u901f\u5ea6\u5feb\uff0c\u6240\u4ee5\u76ee\u524d\u5728\u5de5\u4e1a\u754c\u7684\u5e94\u7528\u8303\u56f4\u6bd4\u8f83\u5e7f\u3002\u5e38\u89c1\u7684\u573a\u666f\u5305\u62ec\uff1a\u7f51\u7edc\u5b89\u5168\u4e2d\u7684\u653b\u51fb\u68c0\u6d4b\u3001\u91d1\u878d\u4ea4\u6613\u6b3a\u8bc8\u68c0\u6d4b\u3001\u75be\u75c5\u4fa6\u6d4b\u3001\u566a\u58f0\u6570\u636e\u8fc7\u6ee4\uff08\u6570\u636e\u6e05\u6d17\uff09\u7b49\u3002<\/p>\n\n\n\n<p><strong>\u539f\u7406\u7406\u89e3\uff1a<\/strong><\/p>\n\n\n\n<p>1.\u6311\u9009\u591a\u7ef4\u5ea6\u6570\u636e\u96c6D\u4e2d\u67d0\u4e00\u4e2a\u7279\u5f81\uff0c\u5e76\u4ee5\u8fd9\u4e2a\u7279\u5f81\u4f5c\u4e3a\u6784\u5efa\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u6839\u8282\u70b9<\/p>\n\n\n\n<p>2.\u968f\u673a\u5728\u8be5\u7279\u5f81\u4e2d\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u4e4b\u95f4\u9009\u53d6\u4e00\u4e2ap\u503c\u3002<\/p>\n\n\n\n<p>3.\u5c06\u6570\u636e\u6309\u7167\u5927\u4e8ep\u503c\u548c\u5c0f\u4e8e\u7b49\u4e8ep\u503c\u7684\u7ed3\u679c\u6765\u5206\u6210\u4e24\u4e2a\u5b50\u8282\u70b9<\/p>\n\n\n\n<p>4.\u5728\u5b50\u8282\u70b9\u7ee7\u7eed\u8fdb\u884c\u5212\u5206\u76f4\u5230\u6570\u636e\u96c6\u53ea\u6709\u4e00\u6761\u6216\u591a\u6761\u4e00\u6837\u7684\u6570\u636e\uff0c\u6216\u8005\u5230\u8fbe\u4e86\u8bbe\u5b9a\u7684\u6811\u7684\u6df1\u5ea6(<strong><em>\u8fd9\u91cc\u8fdb\u884c\u5212\u5206\u7684\u7279\u5f81\u662f\u4ece\u6570\u636e\u96c6D\u4e2d\u91cd\u65b0\u968f\u673a\u9009\u53d6\u67d0\u4e00\u4e2a\u7279\u5f81<\/em><\/strong>)\u3002<\/p>\n\n\n\n<p>5.\u53cd\u590d\u6784\u5efa\u591a\u9897\u6811\u91cd\u590d1\u52304\u6b65\uff0c\u8ba1\u7b97\u6bcf\u4e2a\u8282\u70b9\u7684\u5f02\u5e38\u5206\u503c\u3002<\/p>\n\n\n\n<p>6.\u7efc\u5408\u6240\u6709\u6811\u7684\u5f97\u5206\u53d6\u5747\u503c\u6765\u5224\u65ad\u662f\u5426\u4e3a\u5f02\u5e38\u503c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%B8%8E%E5%85%B6%E4%BB%96%E5%BC%82%E5%B8%B8%E6%A3%80%E6%B5%8B%E7%AE%97%E6%B3%95%E7%9A%84%E5%B7%AE%E5%BC%82\"><\/span>\u4e0e\u5176\u4ed6\u5f02\u5e38\u68c0\u6d4b\u7b97\u6cd5\u7684\u5dee\u5f02<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5b64\u7acb\u68ee\u6797\u4e2d\u7684 \u201c\u5b64\u7acb\u201d (isolation) \u6307\u7684\u662f \u201c\u628a\u5f02\u5e38\u70b9\u4ece\u6240\u6709\u6837\u672c\u4e2d\u5b64\u7acb\u51fa\u6765\u201d\uff0c\u8bba\u6587\u4e2d\u7684\u539f\u6587\u662f \u201cseparating an instance from the rest of the instances\u201d.<\/p>\n\n\n\n<p>\u5927\u591a\u6570\u57fa\u4e8e\u6a21\u578b\u7684\u5f02\u5e38\u68c0\u6d4b\u7b97\u6cd5\u4f1a\u5148 \u201d\u89c4\u5b9a\u201c \u6b63\u5e38\u70b9\u7684\u8303\u56f4\u6216\u6a21\u5f0f\uff0c\u5982\u679c\u67d0\u4e2a\u70b9\u4e0d\u7b26\u5408\u8fd9\u4e2a\u6a21\u5f0f\uff0c\u6216\u8005\u8bf4\u4e0d\u5728\u6b63\u5e38\u8303\u56f4\u5185\uff0c\u90a3\u4e48\u6a21\u578b\u4f1a\u5c06\u5176\u5224\u5b9a\u4e3a\u5f02\u5e38\u70b9\u3002<\/p>\n\n\n\n<p>\u5b64\u7acb\u68ee\u6797\u7684\u521b\u65b0\u70b9\u5305\u62ec\u4ee5\u4e0b\u56db\u4e2a\uff1a<\/p>\n\n\n\n<ul>\n<li>Partial models\uff1a\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u6bcf\u68f5\u5b64\u7acb\u6811\u90fd\u662f\u968f\u673a\u9009\u53d6\u90e8\u5206\u6837\u672c\uff1b<\/li>\n\n\n\n<li>No distance or density measures\uff1a\u4e0d\u540c\u4e8e KMeans\u3001DBSCAN \u7b49\u7b97\u6cd5\uff0c\u5b64\u7acb\u68ee\u6797\u4e0d\u9700\u8981\u8ba1\u7b97\u6709\u5173\u8ddd\u79bb\u3001\u5bc6\u5ea6\u7684\u6307\u6807\uff0c\u53ef\u5927\u5e45\u5ea6\u63d0\u5347\u901f\u5ea6\uff0c\u51cf\u5c0f\u7cfb\u7edf\u5f00\u9500\uff1b<\/li>\n\n\n\n<li>Linear time complexity\uff1a\u56e0\u4e3a\u57fa\u4e8e ensemble\uff0c\u6240\u4ee5\u6709\u7ebf\u6027\u65f6\u95f4\u590d\u6742\u5ea6\u3002\u901a\u5e38\u6811\u7684\u6570\u91cf\u8d8a\u591a\uff0c\u7b97\u6cd5\u8d8a\u7a33\u5b9a\uff1b<\/li>\n\n\n\n<li>Handle extremely large data size\uff1a\u7531\u4e8e\u6bcf\u68f5\u6811\u90fd\u662f\u72ec\u7acb\u751f\u6210\u7684\uff0c\u56e0\u6b64\u53ef\u90e8\u7f72\u5728\u5927\u89c4\u6a21\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e0a\u6765\u52a0\u901f\u8fd0\u7b97\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h_492469453_0\"><span class=\"ez-toc-section\" id=\"%E4%B8%80%E3%80%81%E7%90%86%E8%A7%A3%E5%AD%A4%E7%AB%8B%E6%A3%AE%E6%9E%97\"><\/span><strong>\u4e00\u3001\u7406\u89e3\u5b64\u7acb\u68ee\u6797<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u518d\u7528\u4e00\u4e2a\u4f8b\u5b50\u6765\u8bf4\u660e\u5b64\u7acb\u68ee\u6797\u7684\u601d\u60f3\uff1a\u5047\u8bbe\u73b0\u5728\u6709\u4e00\u7ec4\u4e00\u7ef4\u6570\u636e\uff08\u5982\u4e0b\u56fe\uff09\uff0c\u6211\u4eec\u8981\u5bf9\u8fd9\u7ec4\u6570\u636e\u8fdb\u884c\u5207\u5206\uff0c<strong>\u76ee\u7684\u662f\u628a\u70b9A\u548c B\u5355\u72ec\u5207\u5206\u51fa\u6765<\/strong>\uff0c\u5148\u5728\u6700\u5927\uff0c\u503c\u548c\u6700\u5c0f\u503c\u4e4b\u95f4\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u503c X\uff0c\u7136\u540e\u6309\u7167 &lt;X \u548c &gt;=X \u53ef\u4ee5\u628a\u6570\u636e\u5206\u6210\u5de6\u53f3\u4e24\u7ec4\uff0c\u5728\u8fd9\u4e24\u7ec4\u6570\u636e\u4e2d\u5206\u522b\u91cd\u590d\u8fd9\u4e2a\u6b65\u9aa4\uff0c\u76f4\u5230\u6570\u636e\u4e0d\u53ef\u518d\u5206\u3002<\/p>\n\n\n\n<p>\u70b9B\u8ddf\u5176\u4ed6\u6570\u636e\u6bd4\u8f83\u758f\u79bb\uff0c\u53ef\u80fd\u7528<strong>\u5f88\u5c11\u7684\u6b21\u6570<\/strong>\u5c31\u53ef\u4ee5\u628a\u5b83\u5207\u5206\u51fa\u6765\uff0c\u70b9 A \u8ddf\u5176\u4ed6\u6570\u636e\u70b9\u805a\u5728\u4e00\u8d77\uff0c\u53ef\u80fd\u9700\u8981\u66f4\u591a\u7684\u6b21\u6570\u624d\u80fd\u628a\u5b83\u5207\u5206\u51fa\u6765\u3002<\/p>\n\n\n\n<p>\u90a3\u4e48<strong>\u4ece\u7edf\u8ba1\u610f\u4e49<\/strong>\u4e0a\u6765\u8bf4\uff0c\u76f8\u5bf9\u805a\u96c6\u7684\u70b9\u9700\u8981\u5206\u5272\u7684\u6b21\u6570\u8f83\u591a\uff0c\u6bd4\u8f83\u5b64\u7acb\u7684\u70b9\u9700\u8981\u7684\u5206\u5272\u6b21\u6570\u5c11\uff0c\u5b64\u7acb\u68ee\u6797\u5c31\u662f\u5229\u7528\u5206\u5272\u7684\u6b21\u6570\u6765\u5ea6\u91cf\u4e00\u4e2a\u70b9\u662f\u805a\u96c6\u7684\uff08\u6b63\u5e38\uff09\u8fd8\u662f\u5b64\u7acb\u7684\uff08\u5f02\u5e38\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic3.zhimg.com\/80\/v2-1a9fefb41e3eb28bc3d00806d632346a_720w.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u76f4\u89c2\u4e0a\u6765\u770b\uff0c\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\uff0c\u90a3\u4e9b\u5bc6\u5ea6\u5f88\u9ad8\u7684\u7c07\u8981\u88ab\u5207\u5f88\u591a\u6b21\u624d\u4f1a\u505c\u6b62\u5207\u5272\uff0c\u5373\u6bcf\u4e2a\u70b9\u90fd\u5355\u72ec\u5b58\u5728\u4e8e\u4e00\u4e2a\u5b50\u7a7a\u95f4\u5185\uff0c\u4f46\u90a3\u4e9b\u5206\u5e03\u7a00\u758f\u7684\u70b9\uff0c\u5927\u90fd\u5f88\u65e9\u5c31\u505c\u5230\u4e00\u4e2a\u5b50\u7a7a\u95f4\u5185\u4e86\u3002<\/p>\n\n\n\n<p>\u5148sklearn\u7684\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\uff0c\u641e\u4e2a\u4f8b\u5b50\u770b\u770b\u5927\u6982\u7684\u7b97\u6cd5\u6d41\u7a0b\u548c\u7ed3\u679c\uff0c\u6a21\u62df\u4e0a\u9762\u7684\u6570\u636e\u6784\u9020\u4e00\u4e2a\u6570\u636e\u96c6\u3002\u5f02\u5e38\u68c0\u6d4b\u7684\u5de5\u5177\u8fd8\u662f\u5f88\u591a\u7684\uff0c\u4e3b\u8981\u6709\u4ee5\u4e0b\u51e0\u4e2a\uff0c\u6211\u4eec\u8fd9\u6b21\u9009\u7528\u7684\u662fScikit-Learn\u8fdb\u884c\u5b9e\u9a8c\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1\u3001PyOD:\u8d85\u8fc730\u79cd\u7b97\u6cd5\uff0c\u4ece\u7ecf\u5178\u6a21\u578b\u5230\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u4e00\u5e94\u4ff1\u5168\uff0c\u548csklearn\u7684\u7528\u6cd5\u4e00\u81f4<br>2\u3001Scikit-Learn:\u5305\u542b\u4e864\u79cd\u5e38\u89c1\u7684\u7b97\u6cd5\uff0c\u7b80\u5355\u6613\u7528<br>3\u3001TODS:\u4e0ePyOD\u7c7b\u4f3c\uff0c\u5305\u542b\u591a\u79cd\u65f6\u95f4\u5e8f\u5217\u4e0a\u7684\u5f02\u5e38\u68c0\u6d4b\u7b97\u6cd5<\/p>\n<\/blockquote>\n\n\n\n<p>\u6570\u636e\u96c6\u662f\u6708\u5de5\u8d44\u7684\uff0c\u5355\u4f4d\u4e3a\u4e07\uff0c\u770b\u770b\u54ea\u4e9b\u662f\u5f02\u5e38\u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic1.zhimg.com\/80\/v2-18ef30e8c3c8d5746f5ece94b29eeb64_720w.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code># \u52a0\u8f7d\u6a21\u578b\u6240\u9700\u8981\u7684\u7684\u5305\r\nimport numpy   as np\r\nimport pandas  as pd\r\nimport seaborn as sns\r\nimport matplotlib.pyplot as plt\r\nfrom sklearn.ensemble import IsolationForest\r\n\r\n# \u6784\u9020\u4e00\u4e2a\u6570\u636e\u96c6\uff0c\u53ea\u5305\u542b\u4e00\u5217\u6570\u636e\uff0c\u5047\u5982\u90fd\u662f\u6708\u85aa\u6570\u636e\uff0c\u6709\u4e9b\u53ef\u80fd\u662f\u9519\u7684\r\ndf = pd.DataFrame({'salary':&#91;4,1,4,5,3,6,2,5,6,2,5,7,1,8,12,33,4,7,6,7,8,55]})\r\n\r\n#\u6784\u5efa\u6a21\u578b ,n_estimators=100 ,\u6784\u5efa100\u9897\u6811\r\nmodel = IsolationForest(n_estimators=100, \r\n                      max_samples='auto', \r\n                      contamination=float(0.1),\r\n                      max_features=1.0)\r\n# \u8bad\u7ec3\u6a21\u578b\r\nmodel.fit(df&#91;&#91;'salary']])\r\n\r\n# \u9884\u6d4b decision_function \u53ef\u4ee5\u5f97\u51fa \u5f02\u5e38\u8bc4\u5206\r\ndf&#91;'scores']  = model.decision_function(df&#91;&#91;'salary']])\r\n\r\n#  predict() \u51fd\u6570 \u53ef\u4ee5\u5f97\u5230\u6a21\u578b\u662f\u5426\u5f02\u5e38\u7684\u5224\u65ad\uff0c-1\u4e3a\u5f02\u5e38\uff0c1\u4e3a\u6b63\u5e38\r\ndf&#91;'anomaly'] = model.predict(df&#91;&#91;'salary']])\r\nprint(df)<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>\nsalary    scores  anomaly\n0        4  0.212235        1\n1        1  0.095133        1\n2        4  0.212235        1\n3        5  0.225169        1\n4        3  0.156926        1\n5        6  0.227608        1\n6        2  0.153989        1\n7        5  0.225169        1\n8        6  0.227608        1\n9        2  0.153989        1\n10       5  0.225169        1\n11       7  0.212329        1\n12       1  0.095133        1\n13       8  0.170615        1\n14      12 -0.010570       -1\n15      33 -0.116637       -1\n16       4  0.212235        1\n17       7  0.212329        1\n18       6  0.227608        1\n19       7  0.212329        1\n20       8  0.170615        1\n21      55 -0.183576       -1\n\n<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>from sklearn.ensemble import IsolationForest\r\nfrom sklearn.cluster import KMeans\r\nimport numpy as np\r\nX = np.random.randn(100,3)\r\n# \u751f\u6210\u4e00\u4e9b\u6837\u672c\u6570\u636e\r\n#X = np.random.randn(1000, 2)\r\n\r\n# \u4f7f\u7528K-means\u5bf9\u6570\u636e\u8fdb\u884c\u805a\u7c7b\r\nkmeans = KMeans(n_clusters=5, random_state=0).fit(X)\r\nlabels = kmeans.labels_\r\n#print(X)\r\n# \u5728\u6bcf\u4e2a\u805a\u7c7b\u4e2d\u4f7f\u7528\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\u68c0\u6d4b\u5f02\u5e38\u503c\r\nfor i in range(5):\r\n    cluster_data = X&#91;labels == i]\r\n    clf = IsolationForest(random_state=0).fit(cluster_data)\r\n    y_pred = clf.predict(cluster_data)\r\n    print(\"Cluster {}: {} \u4e2a\u5f02\u5e38\u503c\u88ab\u68c0\u6d4b\u5230\".format(i, np.sum(y_pred == -1)))\r\n    scores_pred = clf.score_samples(cluster_data)\r\n    print(scores_pred)\r\n    data=&#91;]\r\n    print(np.where(y_pred==-1))<\/code><\/pre>\n\n\n\n<p>\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u53d1\u73b0\u4e86\u4e09\u4e2a\u5f02\u5e38\u7684\u6570\u636e\uff0c\u548c\u6211\u4eec\u8ba4\u77e5\u5dee\u4e0d\u591a\uff0c\u90fd\u662f\u6bd4\u8f83\u9ad8\u7684\uff0c\u5e76\u4e14\u5f02\u5e38\u503c\u8d8a\u5927\uff0c\u5f02\u5e38\u5206scores\u5c31\u8d8a\u5927\uff0c\u6bd4\u5982\u90a3\u4e2a\u6708\u85aa55\u4e07\u7684\uff0c\u4e0d\u662f\u53d8\u6001\u5c31\u662f\u6570\u636e\u9519\u4e86\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic3.zhimg.com\/80\/v2-4af9079ab361c98c85d72e70cdb2ba8a_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>\u5176\u5b9e\u5230\u6b64\uff0c\u4f60\u57fa\u672c\u4e0a\u5c31\u4f1a\u7528\u8fd9\u4e2a\u7b97\u6cd5\u4e86\uff0c\u4f46\u662f\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u66f4\u6df1\u5165\u7684\u7406\u89e3\u7684\u8bdd\uff0c\u7ee7\u7eed\u5f80\u4e0b\u770b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h_492469453_1\"><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E3%80%81%E5%AD%A4%E7%AB%8B%E6%A3%AE%E6%9E%97%E7%AE%97%E6%B3%95%E8%AF%A6%E8%A7%A3\"><\/span><strong>\u4e8c\u3001\u5b64\u7acb\u68ee\u6797\u7b97\u6cd5\u8be6\u89e3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5b64\u7acb\u68ee\u6797\u4e0e\u968f\u673a\u68ee\u6797\u975e\u5e38\u76f8\u4f3c\uff0c\u5b83\u662f\u57fa\u4e8e\u7ed9\u5b9a\u6570\u636e\u96c6\u7684\u51b3\u7b56\u6811\u96c6\u6210\u800c\u5efa\u7acb\u7684\uff0c\u7136\u800c\uff0c\u4e5f\u6709\u4e00\u4e9b\u533a\u522b\uff0c\u5b64\u7acb\u68ee\u6797\u5c06\u5f02\u5e38\u8bc6\u522b\u4e3a\u6811\u4e0a\u5e73\u5747\u8def\u5f84\u8f83\u77ed\u7684\u89c2\u6d4b\u7ed3\u679c\uff0c\u6bcf\u4e2a\u5b64\u7acb\u6811\u90fd\u5e94\u7528\u4e86\u4e00\u4e2a\u8fc7\u7a0b:<\/p>\n\n\n\n<p>\u968f\u673a\u9009\u62e9m\u4e2a\u7279\u5f81\uff0c\u901a\u8fc7\u5728\u6240\u9009\u7279\u5f81\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u4e4b\u95f4\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u503c\u6765\u5206\u5272\u6570\u636e\u70b9\u3002\u89c2\u5bdf\u503c\u7684\u5212\u5206\u9012\u5f52\u5730\u91cd\u590d\uff0c\u76f4\u5230\u6240\u6709\u7684\u89c2\u5bdf\u503c\u88ab\u5b64\u7acb\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic2.zhimg.com\/80\/v2-6693244b0a63ff778bd34bb93e2342f5_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic2.zhimg.com\/80\/v2-578ba16f26c90076d69bc24bc7e204b9_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>\u6211\u4eec\u770b\u770b\u66f4\u52a0\u660e\u7ec6\u7684\u8bad\u7ec3+\u9884\u6d4b\u8fc7\u7a0b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_2\"><span class=\"ez-toc-section\" id=\"1%E3%80%81%E5%89%8D%E6%8F%90%E5%81%87%E8%AE%BE\"><\/span><strong>1\u3001\u524d\u63d0\u5047\u8bbe<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u5f02\u5e38\u6837\u672c\u4e0d\u80fd\u5360\u6bd4\u592a\u9ad8<\/p>\n\n\n\n<p>\u5f02\u5e38\u6837\u672c\u548c\u6b63\u5e38\u6837\u672c\u5dee\u5f02\u8f83\u5927<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_3\"><span class=\"ez-toc-section\" id=\"2%E3%80%81%E7%AE%97%E6%B3%95%E6%80%9D%E6%83%B3\"><\/span><strong>2\u3001\u7b97\u6cd5\u601d\u60f3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u5f02\u5e38\u6837\u672c\u66f4\u5bb9\u6613\u5feb\u901f\u843d\u5165\u53f6\u5b50\u7ed3\u70b9\u6216\u8005\u8bf4\uff0c\u5f02\u5e38\u6837\u672c\u5728\u51b3\u7b56\u6811\u4e0a\uff0c\u8ddd\u79bb\u6839\u8282\u70b9\u66f4\u8fd1<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_4\"><span class=\"ez-toc-section\" id=\"3%E3%80%81%E7%AE%97%E6%B3%95%E8%AE%AD%E7%BB%83\"><\/span><strong>3\u3001\u7b97\u6cd5\u8bad\u7ec3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>1\uff09\u8bad\u7ec3\u903b\u8f91<\/strong><\/p>\n\n\n\n<p>\u4ece\u539f\u59cb\u6570\u636e\u4e2d\uff0c\u6709\u653e\u56de\u6216\u8005\u4e0d\u653e\u56de\u7684\u62bd\u53d6\u90e8\u5206\u6837\u672c\uff0c\u9009\u53d6\u90e8\u5206\u7279\u5f81\uff0c\u6784\u5efa\u4e00\u9897\u4e8c\u53c9\u6811(iTree\u5373Isolation Tree)\uff0c\u5229\u7528\u96c6\u6210\u5b66\u4e60\u7684\u601d\u60f3\uff0c\u591a\u6b21\u62bd\u53d6\u6837\u672c\u548c\u7279\u5f81\uff0c\u5b8c\u6210\u591a\u68f5iTree\u7684\u6784\u5efa\u3002<\/p>\n\n\n\n<p><strong>2\uff09iTree\u505c\u6b62\u6761\u4ef6<\/strong><\/p>\n\n\n\n<p>\u6811\u8fbe\u5230\u6307\u5b9a\u7684\u9ad8\u5ea6\/\u6df1\u5ea6\uff0c\u6216\u8005\u6570\u636e\u4e0d\u53ef\u518d\u5206\u3002<\/p>\n\n\n\n<p><strong>3\uff09\u7b97\u6cd5\u4f2a\u4ee3\u7801\u5982\u4e0b<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic2.zhimg.com\/80\/v2-73ff9447392554e96c7cf8ea35a482f5_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic3.zhimg.com\/80\/v2-fab34f5333499a796e584e6f8704c266_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p><strong>4\uff09\u51e0\u4e2a\u5c0f\u95ee\u9898:<\/strong><\/p>\n\n\n\n<ul>\n<li>\u6811\u7684\u6700\u5927\u6df1\u5ea6=ceiling(log(subsimpleSize))\uff0cpaper\u91cc\u8bf4\u81ea\u52a8\u6307\u5b9a\uff0csklearn\u4e5f\u662f\u5728\u4ee3\u7801\u4e2d\u5199\u6b7b:max_depth = int(np.ceil(np.log2(max(max_samples, 2))))\u8fd9\u4e2a\u503c\u63a5\u8fd1\u6811\u7684\u5e73\u5747\u6df1\u5ea6\uff0c\u6211\u4eec\u53ea\u5173\u6ce8\u90a3\u4e9b\u5c0f\u4e8e\u5e73\u5747\u6df1\u5ea6\u7684\u5f02\u5e38\u503c\uff0c\u6240\u4ee5\u65e0\u9700\u8ba9\u6811\u5b8c\u5168\u751f\u957f<\/li>\n\n\n\n<li>Sub-sampling size\uff0c\u6bcf\u6b21\u62bd\u53d6\u7684\u6837\u672c\u6570\uff0c\u5efa\u8bae256\u5373\u53ef\uff0c\u5927\u4e8e256\uff0c\u6027\u80fd\u4e0a\u4e0d\u4f1a\u6709\u5927\u7684\u63d0\u5347<\/li>\n\n\n\n<li>Number of tree,\u5efa\u8bae100\uff0c\u5982\u679c\u7279\u5f81\u548c\u6837\u672c\u89c4\u6a21\u6bd4\u8f83\u5927\uff0c\u53ef\u4ee5\u9002\u5f53\u589e\u52a0<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_5\"><span class=\"ez-toc-section\" id=\"4%E3%80%81%E7%AE%97%E6%B3%95%E9%A2%84%E6%B5%8B\"><\/span><strong>4\u3001\u7b97\u6cd5\u9884\u6d4b<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>1\uff09PathLength\u8ba1\u7b97\u903b\u8f91<\/strong><\/p>\n\n\n\n<p>\u7c7b\u4f3c\u4e8c\u5206\u7c7b\u6a21\u578b\uff0c\u9884\u6d4b\u65f6\u53ef\u8f93\u51faP ( y = 1 ) P(y=1)P(y=1)\uff0ciforest\u6700\u7ec8\u4e5f\u53ef\u4ee5\u8f93\u51fa\u4e00\u4e2a\u5f02\u5e38\u5f97\u5206\u3002\u5f88\u5bb9\u6613\u60f3\u5230\u7528\u8be5\u6837\u672c\u843d\u5165\u53f6\u5b50\u7ed3\u70b9\u65f6\uff0csplit\u7684\u6b21\u6570(\u5373\u6837\u672c\u843d\u5165\u53f6\u5b50\u7ed3\u70b9\u7ecf\u8fc7\u7684\u8fb9)\u4f5c\u4e3a\u8861\u91cf\u6307\u6807\uff0c\u5bf9\u4e8et tt\u68f5\u6811\uff0c\u53d6\u5e73\u5747\u5373\u53ef\u3002\u5148\u770bPathLength\u7684\u8ba1\u7b97\u903b\u8f91\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic3.zhimg.com\/80\/v2-4c6df791eccaeca647a9bc1f011ad51e_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p><strong>2\uff09PathLength\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic1.zhimg.com\/80\/v2-50001022b804d41eded352badc5555c8_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>\u5176\u4e2de\u4e3a\u6837\u672cx xx\u4ece\u6811\u7684\u6839\u8282\u70b9\u5230\u53f6\u8282\u70b9\u7684\u8fc7\u7a0b\u4e2d\u7ecf\u5386\u7684\u8fb9\u7684\u4e2a\u6570\uff0c\u5373split\u6b21\u6570\u3002T.size\u8868\u793a\u548c\u6837\u672cx\u540c\u5728\u4e00\u4e2a\u53f6\u5b50\u7ed3\u70b9\u6837\u672c\u7684\u4e2a\u6570\uff0cC(T.size)\u53ef\u4ee5\u770b\u505a\u4e00\u4e2a\u4fee\u6b63\u503c\uff0c\u8868\u793aT.size\u4e2a\u6837\u672c\u6784\u5efa\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u5e73\u5747\u8def\u5f84\u957f\u5ea6\uff0cc(n)\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic1.zhimg.com\/80\/v2-87da42470c2ecf7cdc64a5563307bc1c_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>\u5176\u4e2d\uff0c0.5772156649\u4e3a\u6b27\u62c9\u5e38\u6570<\/p>\n\n\n\n<p><strong>3\uff09\u4e3a\u4f55\u52a0\u5165\u8fd9\u4e00\u4fee\u6b63\u503c\uff1f<\/strong><\/p>\n\n\n\n<p>\u7531\u4e8e\u6811\u7684\u6df1\u5ea6\u8bbe\u7f6e\u4e3aceiling(log(subsimpleSize)) ,\u6240\u4ee5\u53ef\u80fd\u5927\u90e8\u5206\u6837\u672c\u7684PathLength\u90fd\u6bd4\u8f83\u63a5\u8fd1\uff0c\u800c\u5982\u679c\u53f6\u5b50\u7ed3\u70b9\u7684\u6837\u672c\u6570\u8d8a\u591a\uff0c\u8be5\u6837\u672c\u662f\u5f02\u5e38\u503c\u7684\u6982\u7387\u4e5f\u8f83\u4f4e(\u57fa\u4e8efewAndDifferent\u7684\u5047\u8bbe)\u3002\u53e6\u5916c(n)\u662f\u5355\u8c03\u9012\u589e\u7684\uff0c\u603b\u4e4b\uff0c\u52a0\u4e86\u4fee\u6b63\uff0c\u4f7f\u5f97\u5f02\u5e38\u548c\u6b63\u5e38\u6837\u672c\u7684PathLength\u5dee\u5f02\u66f4\u5927\uff0c\u53ef\u4ee5\u7b80\u5355\u7684\u7406\u89e3\uff0c\u5982\u679c\u6837\u672c\u5feb\u901f\u843d\u5165\u53f6\u5b50\u7ed3\u70b9\uff0c\u5e76\u4e14\u8be5\u53f6\u5b50\u7ed3\u70b9\u7684\u6837\u672c\u6570\u8f83\u5c11\uff0c\u90a3\u4e48\u5176\u4e3a\u5f02\u5e38\u6837\u672c\u7684\u53ef\u80fd\u6027\u8f83\u5927\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_6\"><span class=\"ez-toc-section\" id=\"5%E3%80%81%E8%AE%A1%E7%AE%97%E5%BC%82%E5%B8%B8%E5%88%86\"><\/span><strong>5\u3001\u8ba1\u7b97\u5f02\u5e38\u5206<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6837\u672c\u843d\u5165\u53f6\u5b50\u7ed3\u70b9\u7ecf\u8fc7\u7684\u8fb9\u6570(split\u6b21\u6570)\uff0c\u9664\u4e86\u548c\u6837\u672c\u672c\u8eab\u6709\u5173\uff0c\u4e5f\u548climit length\u548c\u62bd\u6837\u7684\u6837\u672c\u5b50\u96c6\u6709\u5173\u7cfb\u3002\u8fd9\u91cc\uff0c\u4f5c\u8005\u91c7\u7528\u5f52\u4e00\u5316\u7684\u65b9\u5f0f\uff0c\u628asplit length\u7684\u503c\u57df\u6620\u5c04\u52300-1\u4e4b\u95f4\u3002\u5177\u4f53\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic1.zhimg.com\/80\/v2-c5f205a416b7fc005908eeb4e6755e2c_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p><strong>\u5176 \u4e2d\uff1a<\/strong><\/p>\n\n\n\n<p><strong>h(x)\uff1a<\/strong>\u4e3a\u6837\u672c\u5728iTree\u4e0a\u7684PathLength<\/p>\n\n\n\n<p><strong>E(h(x))\uff1a<\/strong>\u4e3a\u6837\u672c\u5728t\u68f5iTree\u7684PathLength\u7684\u5747\u503c<\/p>\n\n\n\n<p><strong>c(n)\uff1a<\/strong>\u4e3an\u4e2a\u6837\u672c\u6784\u5efa\u4e00\u4e2aBST\u4e8c\u53c9\u6811\u7684\u5e73\u5747\u8def\u5f84\u957f\u5ea6\uff0c\u4e3a\u4ec0\u4e48\u8981\u7b97\u8fd9\u4e2a\uff0c\u56e0\u4e3aiTree\u548cBST\u7684\u7ed3\u6784\u7684\u7b49\u4ef7\u6027\uff0c \u6807\u51c6\u5316\u501f\u9274BST\uff08Binary Search Tree\uff09\u53bb\u4f30\u8ba1\u8def\u5f84\u7684\u5e73\u5747\u957f\u5ea6c(n)\u3002<\/p>\n\n\n\n<p>\u4e0a\u8ff0\u516c\u5f0f\uff0c\u6307\u6570\u90e8\u5206\u503c\u57df\u4e3a(\u2212\u221e,0)\uff0c\u56e0\u6b64s\u503c\u57df\u4e3a(0,1)\u3002\u5f53PathLength\u8d8a\u5c0f\uff0cs\u8d8a\u63a5\u8fd11\uff0c\u6b64\u65f6\u6837\u672c\u4e3a\u5f02\u5e38\u503c\u7684\u6982\u7387\u8d8a\u5927\u3002<\/p>\n\n\n\n<p>\u6211\u4eec\u77e5\u9053\u4e86E(h(x))\u662f<strong>\u6839\u8282\u70b9<\/strong>\u5230<strong>\u5916\u90e8\u8282\u70b9<\/strong>x\u7684<strong>\u8def\u5f84\u957f\u5ea6h(x)<\/strong>\u7684\u5e73\u5747\u503c\uff0c\u800cc(n)\u662f\u7ed9\u5b9an\u7684h(x)\u7684\u5e73\u5747\u503c\uff0c\u7528\u4e8e\u89c4\u8303\u5316h(x)\u3002\u6709\u4e09\u79cd\u53ef\u80fd\u7684\u60c5\u51b5:<\/p>\n\n\n\n<p>\u5f53E(h(x)\uff09= c(n)\uff0c s(x,n)=1\/2<\/p>\n\n\n\n<p>\u5f53E(h(x)\uff09-&gt; 0\uff0c s(x,n)= 1<\/p>\n\n\n\n<p>\u5f53E(h(x)\uff09-&gt; n-1\uff0cs(x,n)= 0<\/p>\n\n\n\n<p>\u5f53\u89c2\u6d4b\u7684\u5f97\u5206\u63a5\u8fd11\u65f6\uff0c\u8def\u5f84\u957f\u5ea6\u975e\u5e38\u5c0f\uff0c\u90a3\u4e48\u6570\u636e\u70b9\u5f88\u5bb9\u6613\u88ab\u5b64\u7acb\uff0c\u6211\u4eec\u6709\u4e00\u4e2a\u5f02\u5e38\u3002\u5f53\u89c2\u6d4b\u503c\u5c0f\u4e8e0.5\u65f6\uff0c\u8def\u5f84\u957f\u5ea6\u5c31\u4f1a\u53d8\u5927\uff0c\u7136\u540e\u6211\u4eec\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u6b63\u5e38\u7684\u6570\u636e\u70b9\u3002\u5982\u679c\u6240\u6709\u7684\u89c2\u5bdf\u7ed3\u679c\u90fd\u67090.5\u5de6\u53f3\u7684\u5f02\u5e38\u503c\uff0c\u90a3\u4e48\u6574\u4e2a\u6837\u672c\u5c31\u6ca1\u6709\u4efb\u4f55\u5f02\u5e38\u3002<\/p>\n\n\n\n<p>\u7136\u540e\uff0c\u5b64\u7acb\u68ee\u6797\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u6bcf\u68f5\u6811\u7684\u5f02\u5e38\u5f97\u5206\uff0c\u5e76\u5728\u5b64\u7acb\u6811\u4e4b\u95f4\u8fdb\u884c\u5e73\u5747\uff0c\u4ece\u800c\u5728\u6bd4\u6b63\u5e38\u89c2\u6d4b\u66f4\u5c11\u7684\u6b65\u9aa4\u4e2d\u9694\u79bb\u5f02\u5e38\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5f97\u5206\u8f83\u9ad8\u7684\u5f02\u5e38\u503c\u8def\u5f84\u957f\u5ea6\u8f83\u4f4e\u3002<\/p>\n\n\n\n<p><strong>\u6ce8\uff1a<\/strong>scikit-learn\u7684\u9694\u79bb\u68ee\u6797\u5f15\u5165\u4e86\u5f02\u5e38\u5206\u6570\u7684\u4fee\u6539\uff0c\u5f02\u5e38\u503c\u7531\u8d1f\u7684\u5206\u6570\u8868\u793a\uff0c\u800c\u6b63\u7684\u5206\u6570\u610f\u5473\u7740\u662f\u6b63\u5e38\u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic4.zhimg.com\/80\/v2-19321efaf722c3f57976299e91d9fd77_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>\u4e0a\u56fe\u5c31\u662f\u5bf9\u5b50\u6837\u672c\u8fdb\u884c\u5207\u5272\u8bad\u7ec3\u7684\u8fc7\u7a0b\uff0c\u5de6\u56fe\u7684 xi \u5904\u4e8e\u5bc6\u5ea6\u8f83\u9ad8\u7684\u533a\u57df\uff0c\u56e0\u6b64\u5207\u5272\u4e86\u5341\u51e0\u6b21\u624d\u88ab\u5206\u5230\u4e86\u5355\u72ec\u7684\u5b50\u7a7a\u95f4\uff0c\u800c\u53f3\u56fe\u7684 x0 \u843d\u5728\u8fb9\u7f18\u5206\u5e03\u8f83\u7a00\u758f\u7684\u533a\u57df\uff0c\u53ea\u7ecf\u5386\u4e86\u56db\u6b21\u5207\u5206\u5c31\u88ab \u201c\u5b64\u7acb\u201d \u4e86\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h_492469453_7\"><span class=\"ez-toc-section\" id=\"%E5%9B%9B%E3%80%81%E5%AD%A4%E7%AB%8B%E6%A3%AE%E6%9E%97%E5%8F%82%E6%95%B0\"><\/span><strong>\u56db\u3001\u5b64\u7acb\u68ee\u6797\u53c2\u6570<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u6211\u4eec\u4f7f\u7528sklearn\u4e2d\u7684\u5b64\u7acb\u68ee\u6797\uff0c\u8fdb\u884c\u53c2\u6570\u8c03\u8282\u8bb2\u89e3\uff0c\u4e00\u822c\u4efb\u52a1\u9ed8\u8ba4\u53c2\u6570\u5373\u53ef\uff0c\u7b97\u6cd5API\u5730\u5740\uff1a<\/p>\n\n\n\n<p><a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.ensemble.IsolationForest.html#sklearn.ensemble.IsolationForest\">https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.ensemble.IsolationForest.html#sklearn.ensemble.IsolationForest<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_8\"><span class=\"ez-toc-section\" id=\"1%E3%80%81%E5%9F%BA%E6%9C%AC%E7%94%A8%E6%B3%95\"><\/span><strong>1\u3001\u57fa\u672c\u7528\u6cd5<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>sklearn.ensemble.IsolationForest(\n              *, \n              n_estimators=100, \n              max_samples='auto', \n              contamination='auto', \n              max_features=1.0, \n              bootstrap=False, \n              n_jobs=None, \n              random_state=None, \n              verbose=0,               warm_start=False)<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_9\"><span class=\"ez-toc-section\" id=\"2%E3%80%81%E5%8F%82%E6%95%B0%E8%AF%A6%E8%A7%A3\"><\/span><strong>2\u3001\u53c2\u6570\u8be6\u89e3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>n_estimators :&nbsp;<\/strong>int, optional (default=100)<\/p>\n\n\n\n<p>iTree\u7684\u4e2a\u6570\uff0c\u6307\u5b9a\u8be5\u68ee\u6797\u4e2d\u751f\u6210\u7684\u968f\u673a\u6811\u6570\u91cf\uff0c\u9ed8\u8ba4\u4e3a100\u4e2a<\/p>\n\n\n\n<p><strong>max_samples :&nbsp;<\/strong>int or float, optional (default=\u201dauto\u201d)<\/p>\n\n\n\n<p>\u6784\u5efa\u5b50\u6811\u7684\u6837\u672c\u6570\uff0c\u6574\u6570\u4e3a\u4e2a\u6570\uff0c\u5c0f\u6570\u4e3a\u5360\u5168\u96c6\u7684\u6bd4\u4f8b\uff0c\u7528\u6765\u8bad\u7ec3\u968f\u673a\u6570\u7684\u6837\u672c\u6570\u91cf\uff0c\u5373\u5b50\u91c7\u6837\u7684\u5927\u5c0f<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u7684\u662f\u4e00\u4e2aint\u5e38\u6570\uff0c\u90a3\u4e48\u5c31\u4f1a\u4ece\u603b\u6837\u672cX\u62c9\u53d6max_samples\u4e2a\u6837\u672c\u6765\u751f\u6210\u4e00\u68f5\u6811iTree<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u7684\u662f\u4e00\u4e2afloat\u6d6e\u70b9\u6570\uff0c\u90a3\u4e48\u5c31\u4f1a\u4ece\u603b\u6837\u672cX\u62c9\u53d6max_samples * X.shape[0]\u4e2a\u6837\u672c,X.shape[0]\u8868\u793a\u603b\u6837\u672c\u4e2a\u6570<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u7684\u662f&#8221;auto&#8221;\uff0c\u5219max_samples=min(256, n_samples)\uff0cn_samples\u5373\u603b\u6837\u672c\u7684\u6570\u91cf<\/p>\n\n\n\n<p>\u5982\u679cmax_samples\u503c\u6bd4\u63d0\u4f9b\u7684\u603b\u6837\u672c\u6570\u91cf\u8fd8\u5927\u7684\u8bdd\uff0c\u6240\u6709\u7684\u6837\u672c\u90fd\u4f1a\u7528\u6765\u6784\u9020\u6570\uff0c\u610f\u601d\u5c31\u662f\u6ca1\u6709\u91c7\u6837\u4e86\uff0c\u6784\u9020\u7684n_estimators\u68f5iTree\u4f7f\u7528\u7684\u6837\u672c\u90fd\u662f\u4e00\u6837\u7684\uff0c\u5373\u6240\u6709\u7684\u6837\u672c<\/p>\n\n\n\n<p><strong>contamination :&nbsp;<\/strong>float in (0., 0.5), optional (default=0.1)<\/p>\n\n\n\n<p>\u53d6\u503c\u8303\u56f4\u4e3a(0., 0.5),\u8868\u793a\u5f02\u5e38\u6570\u636e\u5360\u7ed9\u5b9a\u7684\u6570\u636e\u96c6\u7684\u6bd4\u4f8b\uff0c\u6570\u636e\u96c6\u4e2d\u6c61\u67d3\u7684\u6570\u91cf\uff0c\u5176\u5b9e\u5c31\u662f\u8bad\u7ec3\u6570\u636e\u4e2d\u5f02\u5e38\u6570\u636e\u7684\u6570\u91cf\uff0c\u6bd4\u5982\u6570\u636e\u96c6\u5f02\u5e38\u6570\u636e\u7684\u6bd4\u4f8b\u3002\u5b9a\u4e49\u8be5\u53c2\u6570\u503c\u7684\u4f5c\u7528\u662f\u5728\u51b3\u7b56\u51fd\u6570\u4e2d\u5b9a\u4e49\u9608\u503c\u3002\u5982\u679c\u8bbe\u7f6e\u4e3a&#8217;auto&#8217;\uff0c\u5219\u51b3\u7b56\u51fd\u6570\u7684\u9608\u503c\u5c31\u548c\u8bba\u6587\u4e2d\u5b9a\u4e49\u7684\u4e00\u6837<\/p>\n\n\n\n<p><strong>max_features :&nbsp;<\/strong>int or float, optional (default=1.0)<\/p>\n\n\n\n<p>\u6784\u5efa\u6bcf\u4e2a\u5b50\u6811\u7684\u7279\u5f81\u6570\uff0c\u6574\u6570\u4f4d\u4e2a\u6570\uff0c\u5c0f\u6570\u4e3a\u5360\u5168\u7279\u5f81\u7684\u6bd4\u4f8b\uff0c\u6307\u5b9a\u4ece\u603b\u6837\u672cX\u4e2d\u62bd\u53d6\u6765\u8bad\u7ec3\u6bcf\u68f5\u6811iTree\u7684\u5c5e\u6027\u7684\u6570\u91cf\uff0c\u9ed8\u8ba4\u53ea\u4f7f\u7528\u4e00\u4e2a\u5c5e\u6027<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u4e3aint\u6574\u6570\uff0c\u5219\u62bd\u53d6max_features\u4e2a\u5c5e\u6027<\/p>\n\n\n\n<p>\u5982\u679c\u662ffloat\u6d6e\u70b9\u6570\uff0c\u5219\u62bd\u53d6max_features * X.shape[1]\u4e2a\u5c5e\u6027<\/p>\n\n\n\n<p><strong>bootstrap :&nbsp;<\/strong>boolean, optional (default=False)<br>\u91c7\u6837\u662f\u6709\u653e\u56de\u8fd8\u662f\u65e0\u653e\u56de\uff0c\u5982\u679c\u4e3aTrue\uff0c\u5219\u5404\u4e2a\u6811\u53ef\u653e\u56de\u5730\u5bf9\u8bad\u7ec3\u6570\u636e\u8fdb\u884c\u91c7\u6837\u3002\u5982\u679c\u4e3aFalse\uff0c\u5219\u6267\u884c\u4e0d\u653e\u56de\u7684\u91c7\u6837\u3002<\/p>\n\n\n\n<p><strong>n_jobs :<\/strong>int or None, optional (default=None)\u5728\u8fd0\u884cfit()\u548cpredict()\u51fd\u6570\u65f6\u5e76\u884c\u8fd0\u884c\u7684\u4f5c\u4e1a\u6570\u91cf\u3002\u9664\u4e86\u5728joblib.parallel_backend\u4e0a\u4e0b\u6587\u7684\u60c5\u51b5\u4e0b\uff0cNone\u8868\u793a\u4e3a1\u3002\u8bbe\u7f6e\u4e3a-1\u5219\u8868\u793a\u4f7f\u7528\u6240\u6709\u53ef\u7528\u7684\u5904\u7406\u5668<\/p>\n\n\n\n<p><strong>random_state :&nbsp;<\/strong>int, RandomState instance or None, optional (default=None)<\/p>\n\n\n\n<p>\u6bcf\u6b21\u8bad\u7ec3\u7684\u968f\u673a\u6027<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u4e3aint\u5e38\u6570\uff0c\u5219\u8be5random_state\u53c2\u6570\u503c\u662f\u7528\u4e8e\u968f\u673a\u6570\u751f\u6210\u5668\u7684\u79cd\u5b50<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u4e3aRandomState\u5b9e\u4f8b\uff0c\u5219\u8be5random_state\u5c31\u662f\u4e00\u4e2a\u968f\u673a\u6570\u751f\u6210\u5668<\/p>\n\n\n\n<p>\u5982\u679c\u8bbe\u7f6e\u4e3aNone\uff0c\u8be5\u968f\u673a\u6570\u751f\u6210\u5668\u5c31\u662f\u4f7f\u7528\u5728np.random\u4e2d\u7684RandomState\u5b9e\u4f8b<\/p>\n\n\n\n<p><strong>verbose :<\/strong>&nbsp;int, optional (default=0)<\/p>\n\n\n\n<p>\u8bad\u7ec3\u4e2d\u6253\u5370\u65e5\u5fd7\u7684\u8be6\u7ec6\u7a0b\u5ea6\uff0c\u6570\u503c\u8d8a\u5927\u8d8a\u8be6\u7ec6<\/p>\n\n\n\n<p><strong>warm_start :&nbsp;<\/strong>bool, optional (default=False)\u5f53\u8bbe\u7f6e\u4e3aTrue\u65f6\uff0c\u91cd\u7528\u4e0a\u4e00\u6b21\u8c03\u7528\u7684\u7ed3\u679c\u53bbfit,\u6dfb\u52a0\u66f4\u591a\u7684\u6811\u5230\u4e0a\u4e00\u6b21\u7684\u68ee\u67971\u96c6\u5408\u4e2d\uff1b\u5426\u5219\u5c31fit\u4e00\u6574\u4e2a\u65b0\u7684\u68ee\u6797<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_10\"><span class=\"ez-toc-section\" id=\"3%E3%80%81%E5%B1%9E%E6%80%A7\"><\/span><strong>3\u3001\u5c5e\u6027<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>base_estimator_\uff1a<\/strong>The child estimator template used to create the collection of fitted sub-estimators.<\/p>\n\n\n\n<p><strong>estimators_\uff1a<em>list of ExtraTreeRegressor instances&nbsp;<\/em><\/strong>The collection of fitted sub-estimators.<\/p>\n\n\n\n<p><strong>estimators_\uff1afeatures_<em>list of ndarray&nbsp;<\/em><\/strong>The subset of drawn features for each base estimator.<\/p>\n\n\n\n<p><strong>estimators_samples_<em>\uff1alist of ndarray&nbsp;<\/em><\/strong>The subset of drawn samples for each base estimator.<\/p>\n\n\n\n<p><strong>max_samples_\uff1a<\/strong>The actual number of samples<\/p>\n\n\n\n<p><strong>n_features_<em>\uff1a<\/em><\/strong>DEPRECATED: Attribute n_features_ was deprecated in version 1.0 and will be removed in 1.2.<\/p>\n\n\n\n<p><strong>n_features_in_\uff1a<\/strong>Number of features seen during fit.<\/p>\n\n\n\n<p><strong>feature_names_in_\uff1a<\/strong>Names of features seen during fit. Defined only when X has feature names that are all strings<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_11\"><span class=\"ez-toc-section\" id=\"4%E3%80%81%E6%96%B9_%E6%B3%95\"><\/span><strong>4\u3001\u65b9 \u6cd5<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>fit<\/strong>(X[, y, sample_weight])\uff1a\u8bad\u7ec3\u6a21\u578b<\/p>\n\n\n\n<p><strong>decision_function<\/strong>(X)\uff1a\u8fd4\u56de\u5e73\u5747\u5f02\u5e38\u5206\u6570<\/p>\n\n\n\n<p><strong>predict<\/strong>(X)\uff1a\u9884\u6d4b\u6a21\u578b\u8fd4\u56de1\u6216\u8005-1<\/p>\n\n\n\n<p><strong>fit_predict<\/strong>(X[, y])\uff1a\u8bad\u7ec3-\u9884\u6d4b\u6a21\u578b\u4e00\u8d77\u5b8c\u6210<\/p>\n\n\n\n<p><strong>get_params<\/strong>([deep])\uff1aGet parameters for this estimator.<\/p>\n\n\n\n<p><strong>score_samples<\/strong>(X)\uff1aOpposite of the anomaly score defined in the original paper.<\/p>\n\n\n\n<p><strong>set_params<\/strong>(**params)\uff1aSet the parameters of this estimator.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h_492469453_12\"><span class=\"ez-toc-section\" id=\"%E4%BA%94%E3%80%81%E5%BA%94%E7%94%A8%E6%A1%88%E4%BE%8B\"><\/span><strong>\u4e94\u3001\u5e94\u7528\u6848\u4f8b<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_13\"><span class=\"ez-toc-section\" id=\"1%E3%80%81%E6%A8%A1%E5%9E%8B%E8%AE%AD%E7%BB%83\"><\/span><strong>1\u3001\u6a21\u578b\u8bad\u7ec3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6709\u4e86\u5bf9\u539f\u7406\u7684\u4e86\u89e3\uff0c\u7b97\u6cd5\u53c2\u6570\u7684\u4ecb\u7ecd\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8fdb\u884c\u5e94\u7528\u4e86\uff0c\u4e3a\u4e86\u65b9\u4fbf\u5927\u5bb6\u8dd1\u901a\uff0c\u6ca1\u6709\u5f15\u5165\u5916\u90e8\u6570\u636e\uff0c\u76f4\u63a5\u4f7f\u7528\u7b80\u5355\u7684\u5185\u7f6e\u7684iris \u6570\u636e\u96c6\u4f5c\u4e3a\u6848\u4f8b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import plotly.express as px \nfrom sklearn.datasets import load_iris \nfrom sklearn.ensemble import IsolationForest\n\ndata = load_iris(as_frame=True) \nX,y = data.data,data.target \ndf = data.frame \ndf.head()\nsepal length (cm)  sepal width (cm)  ...  petal width (cm)  target\n0                5.1               3.5  ...               0.2       0\n1                4.9               3.0  ...               0.2       0\n2                4.7               3.2  ...               0.2       0\n3                4.6               3.1  ...               0.2       0\n4                5.0               3.6  ...               0.2       0\n\n&#91;5 rows x 5 columns]\n\n<em># \u6a21\u578b\u8bad\u7ec3<\/em>\niforest = IsolationForest(n_estimators=100, max_samples='auto',  \n                          contamination=0.05, max_features=4,  \n                          bootstrap=False, n_jobs=-1, random_state=1)\n\n\n\n\n<em>#  fit_predict \u51fd\u6570 \u8bad\u7ec3\u548c\u9884\u6d4b\u4e00\u8d77 \u53ef\u4ee5\u5f97\u5230\u6a21\u578b\u662f\u5426\u5f02\u5e38\u7684\u5224\u65ad\uff0c-1\u4e3a\u5f02\u5e38\uff0c1\u4e3a\u6b63\u5e38<\/em>\ndf&#91;'label'] = iforest.fit_predict(X) \n\n<em># \u9884\u6d4b decision_function \u53ef\u4ee5\u5f97\u51fa \u5f02\u5e38\u8bc4\u5206<\/em>\ndf&#91;'scores'] = iforest.decision_function(X) \n\ndf\n     sepal length (cm)  sepal width (cm)  ...  anomaly_label    scores\n0                  5.1               3.5  ...              1  0.177972\n1                  4.9               3.0  ...              1  0.148945\n2                  4.7               3.2  ...              1  0.129540\n3                  4.6               3.1  ...              1  0.119440\n4                  5.0               3.6  ...              1  0.169537\n..                 ...               ...  ...            ...       ...\n145                6.7               3.0  ...              1  0.131967\n146                6.3               2.5  ...              1  0.122848\n147                6.5               3.0  ...              1  0.160523\n148                6.2               3.4  ...              1  0.073536\n149                5.9               3.0  ...              1  0.169074\n\n&#91;150 rows x 7 columns]\n\n<em># \u6211\u4eec\u770b\u770b\u54ea\u4e9b\u9884\u6d4b\u4e3a\u5f02\u5e38\u7684<\/em>\ndf&#91;df.label==-1]\n sepal length (cm)  sepal width (cm)  ...  anomaly_label    scores\n13                 4.3               3.0  ...             -1 -0.039104\n15                 5.7               4.4  ...             -1 -0.003895\n41                 4.5               2.3  ...             -1 -0.038639\n60                 5.0               2.0  ...             -1 -0.008813\n109                7.2               3.6  ...             -1 -0.037663\n117                7.7               3.8  ...             -1 -0.046873\n118                7.7               2.6  ...             -1 -0.055233\n131                7.9               3.8  ...             -1 -0.064742\n\n&#91;8 rows x 7 columns]<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h_492469453_14\"><span class=\"ez-toc-section\" id=\"2%E3%80%81%E6%A8%A1%E5%9E%8B%E5%8F%AF%E8%A7%86%E5%8C%96\"><\/span><strong>2\u3001\u6a21\u578b\u53ef\u89c6\u5316<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6211\u4eec\u53ef\u89c6\u5316\u770b\u770b\u9884\u6d4b\u7684\u7ed3\u679c\uff0c\u770b\u770b\u5f02\u5e38\u7c7b\u578b\u548c\u975e\u5f02\u5e38\u7c7b\u578b\u7684\u76f4\u65b9\u56fe\u5206\u5e03\uff0c\u8fd9\u91cc\u6700\u597d\u7528notebook\u753b\uff0c\u5176\u4ed6\u5730\u65b9\u753b\u4e0d\u4e00\u5b9a\u80fd\u663e\u793a\u51fa\u6765\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>df&#91;'anomaly'] = df&#91;'label'].apply(lambda x: 'outlier' if x==-1  else 'inlier') \nfig = px.histogram(df,x='scores',color='anomaly') fig.show()<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic4.zhimg.com\/80\/v2-0b47cdf2c6afa9ab2d8979dc0f1666cb_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>\u5728\u770b\u770b3D\u56fe\uff0c\u7ea2\u8272\u7684\u662f\u6bd4\u8f83\u5f02\u5e38\u7684\uff0c\u53ef\u4ee5\u770b\u770b\u5230\uff0c\u8fd8\u662f\u6bd4\u8f83\u51c6\u786e\u7684\uff0c\u4f46\u662f\u7531\u4e8e\u8fd9\u4e2a\u6570\u636e\u672c\u8eab\u5dee\u5f02\u6027\u5c31\u4e0d\u5927\uff0c\u6240\u4ee5\u6ca1\u90a3\u4e48\u660e\u663e\uff0c\u5b9e\u9645\u4e1a\u52a1\u4e2d\u7684\u5f02\u5e38\u6570\u636e\uff0c\u4e00\u822c\u90fd\u5177\u6709\u66f4\u5927\u7684\u5dee\u5f02\u5316\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>fig = px.scatter_3d(df,x='petal width (cm)', \n                       y='sepal length (cm)', \n                       z='sepal width (cm)', \n                       color='anomaly') fig.show()<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic1.zhimg.com\/80\/v2-5937c3e1cef5007e0be89fb7c987a850_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h_492469453_15\"><span class=\"ez-toc-section\" id=\"%E7%BB%93_%E8%AE%BA\"><\/span><strong>\u7ed3 \u8bba<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>1\u3001\u6bcf\u68f5\u6811\u968f\u673a\u91c7\u6837\u72ec\u7acb\u751f\u6210\uff0c\u6240\u4ee5\u5b64\u7acb\u68ee\u6797\u5177\u6709\u5f88\u597d\u7684\u5904\u7406\u5927\u6570\u636e\u7684\u80fd\u529b\u548c\u901f\u5ea6\uff0c\u53ef\u4ee5\u8fdb\u884c\u5e76\u884c\u5316\u5904\u7406\uff0c\u56e0\u6b64\u53ef\u90e8\u7f72\u5728\u5927\u89c4\u6a21\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e0a\u6765\u52a0\u901f\u8fd0\u7b97\u3002<\/p>\n\n\n\n<p>2\u3001\u901a\u5e38\u6811\u7684\u6570\u91cf\u8d8a\u591a\uff0c\u7b97\u6cd5\u8d8a\u7a33\u5b9a\uff0c\u6811\u7684\u6df1\u5ea6\u4e0d\u6613\u8fc7\u6df1\uff0c\u4f46\u4e0d\u662f\u8d8a\u591a\u8d8a\u597d\uff0c\u901a\u8fc7\u4e0b\u56fe\u53ef\u4ee5\u53d1\u73b0\uff0c\u5f53t&gt;=100\u540e\uff0c\u5212\u5206\u4e0a\u6587\u63d0\u5230\u7684xi\u548cx0\u7684\u5e73\u5747\u8def\u5f84\u957f\u5ea6\u90fd\u5df2\u7ecf\u6536\u655b\u4e86\uff0c\u6545\u56e0\u6b64\u8bba\u6587\u4e2d\u63a8\u8350t\u8bbe\u7f6e\u4e3a100\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic1.zhimg.com\/80\/v2-efc27a4abacaba02f8d882ff955bd340_720w.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247<\/figcaption><\/figure>\n\n\n\n<p>3\u3001\u4e0d\u540c\u4e8e KMeans\u3001DBSCAN \u7b49\u7b97\u6cd5\uff0c\u5b64\u7acb\u68ee\u6797\u4e0d\u9700\u8981\u8ba1\u7b97\u6709\u5173\u8ddd\u79bb\u3001\u5bc6\u5ea6\u7684\u6307\u6807\uff0c\u53ef\u5927\u5e45\u5ea6\u63d0\u5347\u901f\u5ea6\uff0c\u51cf\u5c0f\u7cfb\u7edf\u5f00\u9500\uff1b<\/p>\n\n\n\n<p>4\u3001\u4e3a\u4ec0\u4e48\u9700\u8981\u5bf9\u6811\u7684\u9ad8\u5ea6\u505a\u9650\u5236\uff1f\u4e4b\u6240\u4ee5\u5bf9\u6811\u7684\u9ad8\u5ea6\u505a\u9650\u5236\uff0c\u662f\u56e0\u4e3a\u6211\u4eec\u53ea\u5173\u5fc3\u8def\u5f84\u957f\u5ea6\u8f83\u77ed\u7684\u70b9\uff0c\u5b83\u4eec\u66f4\u53ef\u80fd\u662f\u5f02\u5e38\u70b9\uff0c\u800c\u5e76\u4e0d\u5173\u5fc3\u90a3\u4e9b\u8def\u5f84\u5f88\u957f\u7684\u6b63\u5e38\u70b9<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%B8%80%E4%B8%AA%E7%94%9F%E5%8A%A8%E7%9A%84%E4%BE%8B%E5%AD%90\"><\/span>\u4e00\u4e2a\u751f\u52a8\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u56e0\u4e3a\u6211\u6bd4\u8f83\u559c\u6b22\u6b66\u6797\u5916\u4f20\uff0c\u800c\u4e14\u8fd9\u90e8\u5267\u4e2d\u6bcf\u4e2a\u4eba\u7684\u7279\u70b9\u90fd\u5f88\u9c9c\u660e\uff0c\u6240\u4ee5\u62ff\u8fc7\u6765\u505a\u4f8b\u5b50\u3002\u4ee5\u4e0b\u662f 9 \u4f4d\u4e3b\u8981\u89d2\u8272\u7684\u57fa\u672c\u6570\u636e\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic3.zhimg.com\/80\/v2-4626491c5cc40c47e1eaab83b11d3496_720w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u6a21\u62df\u4e00\u68f5\u5b64\u7acb\u6811\u7684\u8bad\u7ec3\u8fc7\u7a0b\uff0c\u628a\u8fd9\u4e5d\u4e2a\u4eba\u4f5c\u4e3a\u4e00\u4e2a\u5b50\u6837\u672c\u653e\u5165\u4e00\u68f5\u5b64\u7acb\u6811\u7684\u6839\u8282\u70b9\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pic4.zhimg.com\/80\/v2-35e3d10dac6128621e1839fae3c957b7_720w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u9996\u5148\u968f\u673a\u9009\u62e9\u5230\u7684\u7ef4\u5ea6\u662f \u201c\u5e74\u9f84\u201d\uff0c\u7136\u540e\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u5207\u5272\u70b9 18\uff0c\u5c0f\u4e8e 18 \u5c81\u7684\u53ea\u6709\u83ab\u5c0f\u8d1d\u4e00\u4e2a\u4eba\uff0c\u6240\u4ee5\u5979\u6700\u5148\u88ab \u201c\u5b64\u7acb\u201d \u51fa\u6765\u4e86\uff1b\u7b2c\u4e8c\u4e2a\u968f\u673a\u9009\u62e9\u7684\u7279\u5f81\u662f \u201d\u4f53\u91cd\u201c\uff0c\u53ea\u6709\u5927\u5634\u9ad8\u4e8e 80 \u516c\u65a4\uff0c\u6240\u4ee5\u4e5f\u88ab \u201d\u5b64\u7acb\u201c \u4e86\uff1b\u7b2c\u4e09\u4e2a\u9009\u62e9 \u201d\u6587\u5316\u7a0b\u5ea6\u201c \u8fd9\u4e2a\u7279\u5f81\uff0c\u7531\u4e8e\u53ea\u6709\u79c0\u624d\u7684\u6587\u5316\u7a0b\u5ea6\u4e3a\u9ad8\uff0c\u4e8e\u662f\u88ab \u201d\u5b64\u7acb\u201c \u51fa\u6765\u4e86 \u2026\u2026<\/p>\n\n\n\n<p>\u5047\u8bbe\u6211\u4eec\u8bbe\u5b9a\u6811\u7684\u9ad8\u5ea6\u4e3a 3\uff0c\u90a3\u4e48\u8fd9\u68f5\u6811\u7684\u8bad\u7ec3\u5c31\u7ed3\u675f\u4e86\u3002\u5728\u8fd9\u68f5\u6811\u4e0a\uff0c\u83ab\u5c0f\u8d1d\u7684\u8def\u5f84\u957f\u5ea6\u4e3a 1\uff0c\u5927\u5634\u4e3a 2\uff0c\u79c0\u624d\u4e3a 3\uff0c\u5355\u770b\u8fd9\u4e00\u68f5\u6811\uff0c\u83ab\u5c0f\u8d1d\u7684\u5f02\u5e38\u7a0b\u5ea6\u6700\u9ad8\u3002\u4f46\u5f88\u663e\u7136\uff0c\u5979\u4e4b\u6240\u4ee5\u6700\u5148\u88ab\u5b64\u7acb\u51fa\u6765\uff0c\u4e0e\u7279\u5f81\u88ab\u968f\u673a\u9009\u62e9\u5230\u7684\u987a\u5e8f\u6709\u5173\uff0c\u6240\u4ee5\u6211\u4eec\u901a\u8fc7\u5bf9\u591a\u68f5\u6811\u8fdb\u884c\u8bad\u7ec3\uff0c\u6765\u53bb\u9664\u8fd9\u79cd\u968f\u673a\u6027\uff0c\u8ba9\u7ed3\u679c\u5c3d\u91cf\u6536\u655b\u3002<\/p>\n\n\n\n<p>\u53c2\u8003\uff1a<a href=\"https:\/\/www.zhihu.com\/people\/lao-q-84\">https:\/\/www.zhihu.com\/people\/lao-q-84<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b64\u7acb\u68ee\u6797(isolation Forest)\u7b97\u6cd5\uff0c2008\u5e74\u7531\u5218\u98de\u3001\u5468\u5fd7\u534e\u7b49\u63d0\u51fa\uff0c\u7b97\u6cd5\u4e0d\u501f\u52a9\u7c7b\u4f3c\u8ddd\u79bb&hellip; <a href=\"http:\/\/viplao.com\/index.php\/2022\/09\/27\/%e8%bf%90%e7%bb%b4%e5%b7%a5%e5%85%b7-%e5%bc%82%e5%b8%b8%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%ae%9e%e8%b7%b5%ef%bc%8c%e5%ad%a4%e7%ab%8b%e6%a3%ae%e6%9e%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b\/\" class=\"more-link read-more\" rel=\"bookmark\">\u7ee7\u7eed\u9605\u8bfb <span class=\"screen-reader-text\">\u6570\u5b57\u5316\u8fd0\u7ef4 \u2013 \u5f02\u5e38\u6570\u636e\u5206\u6790\u5b9e\u8df5\uff0c\u5b64\u7acb\u68ee\u6797\u5f02\u5e38\u68c0\u6d4b\u7b97\u6cd5\u539f\u7406\u548c\u5b9e\u6218<\/span><i class=\"fa 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