{"id":1979,"date":"2024-05-31T18:37:11","date_gmt":"2024-05-31T10:37:11","guid":{"rendered":"https:\/\/17aitech.com\/?p=1979"},"modified":"2024-10-08T15:24:03","modified_gmt":"2024-10-08T07:24:03","slug":"%e3%80%90%e8%af%be%e7%a8%8b%e6%80%bb%e7%bb%93%e3%80%91day4%ef%bc%9a%e4%bf%a1%e6%81%af%e8%ae%ba%e5%92%8c%e5%86%b3%e7%ad%96%e6%a0%91%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=1979","title":{"rendered":"\u3010\u8bfe\u7a0b\u603b\u7ed3\u3011Day4\uff1a\u4fe1\u606f\u8bba\u548c\u51b3\u7b56\u6811\u7b97\u6cd5"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_78 ez-toc-wrap-left-text counter-hierarchy ez-toc-counter ez-toc-light-blue 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 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 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ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E7%86%B5%E7%9A%84%E8%AE%A1%E7%AE%97\" >\u71b5\u7684\u8ba1\u7b97<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E4%BB%A3%E7%A0%81%E5%AE%9E%E7%8E%B0\" >\u4ee3\u7801\u5b9e\u73b0<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%86%B3%E7%AD%96%E6%A0%91\" >\u51b3\u7b56\u6811<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E6%A6%82%E5%BF%B5\" >\u51b3\u7b56\u6811\u7684\u6982\u5ff5<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E4%B8%80%E4%B8%AA%E4%BE%8B%E5%AD%90\" >\u4e00\u4e2a\u4f8b\u5b50<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E9%A2%84%E6%B5%8B\" >\u51b3\u7b56\u6811\u7684\u9884\u6d4b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E6%9E%84%E5%BB%BA\" >\u51b3\u7b56\u6811\u7684\u6784\u5efa<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E6%A0%B8%E5%BF%83%E6%80%9D%E6%83%B3\" >\u6838\u5fc3\u601d\u60f3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E6%9E%84%E5%BB%BA%E6%AD%A5%E9%AA%A4\" >\u6784\u5efa\u6b65\u9aa4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E6%9E%84%E5%BB%BA%E8%BF%87%E7%A8%8B%E6%8E%A8%E5%AF%BC%E9%99%8D%E7%86%B5entropy\" >\u6784\u5efa\u8fc7\u7a0b\u63a8\u5bfc(\u964d\u71b5entropy)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E6%9E%84%E5%BB%BA%E8%BF%87%E7%A8%8B%E6%8E%A8%E5%AF%BC%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0gini\" >\u6784\u5efa\u8fc7\u7a0b\u63a8\u5bfc(\u57fa\u5c3c\u7cfb\u6570gini)<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0%E7%9A%84%E5%AE%9A%E4%B9%89\" >\u57fa\u5c3c\u7cfb\u6570\u7684\u5b9a\u4e49<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0%E7%9A%84%E6%8E%A8%E5%AF%BC\" >\u57fa\u5c3c\u7cfb\u6570\u7684\u63a8\u5bfc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0%E7%9A%84%E6%84%8F%E4%B9%89\" >\u57fa\u5c3c\u7cfb\u6570\u7684\u610f\u4e49<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E6%84%8F%E4%B9%89\" >\u51b3\u7b56\u6811\u7684\u610f\u4e49<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/17aitech.com\/?p=1979\/#%E6%9C%AC%E7%AB%A0%E5%B0%8F%E7%BB%93\" >\u672c\u7ae0\u5c0f\u7ed3<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E5%89%8D%E8%A8%80\"><\/span>\u524d\u8a00<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u7ae0\u5185\u5bb9\u4e3b\u8981\u662f\u5b66\u4e60\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6a21\u578b\uff1a<code><code>\u51b3\u7b56\u6811<\/code><\/code>\uff0c\u56f4\u7ed5\u51b3\u7b56\u6811\u7684\u5e94\u7528\uff0c\u6211\u4eec\u5c55\u5f00\u4e86\u89e3\u5230\uff1a\u71b5\u7684\u5b9a\u4e49\u3001\u71b5\u7684\u8ba1\u7b97\u3001\u51b3\u7b56\u6811\u7684\u6784\u5efa\u8fc7\u7a0b(\u57fa\u4e8e\u5feb\u901f\u964d\u71b5)\u3001\u57fa\u5c3c\u7cfb\u6570\u7b49\uff0c\u4ece\u800c\u4f7f\u5f97\u6211\u4eec\u5bf9\u51b3\u7b56\u6811\u6709\u4e86\u76f4\u89c2\u8ba4\u8bc6\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%86%B5%E7%9A%84%E4%BB%8B%E7%BB%8D\"><\/span>\u71b5\u7684\u4ecb\u7ecd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u56e0\u4e3a\u51b3\u7b56\u6811\u4e3b\u8981\u601d\u60f3\u662f\u5bf9\u6570\u636e\u96c6\u8fdb\u884c\u964d\u71b5\uff0c\u6240\u4ee5\u5728\u4e86\u89e3\u51b3\u7b56\u6811\u4e4b\u524d\uff0c\u6709\u5fc5\u8981\u5bf9<code><code>\u71b5<\/code><\/code>\u518d\u505a\u4e0b\u7cfb\u7edf\u68b3\u7406\u3002<br \/>\n<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531101339228.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531101339228.png\" alt=\"\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E7%86%B5%E7%9A%84%E5%AE%9A%E4%B9%89\"><\/span>\u71b5\u7684\u5b9a\u4e49<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\n<p>\u7b80\u8a00\u4e4b\uff0c\u71b5\u5c31\u662f\u63cf\u8ff0\u4e00\u4e2a\u7cfb\u7edf\u7684\u6df7\u4e71\u7a0b\u5ea6\uff0c\u71b5\u8d8a\u9ad8\uff0c\u6df7\u4e71\u7a0b\u5ea6\u8d8a\u9ad8\u3002<\/p>\n<\/li>\n<li>\n<p>\u5728\u4e00\u4e2a\u5b64\u7acb\u7cfb\u7edf\u91cc\uff0c\u5982\u679c\u6ca1\u6709\u5916\u529b\u505a\u529f\uff0c\u5176\u603b\u6df7\u4e71\u5ea6\uff08\u5373\u71b5\uff09\u4f1a\u4e0d\u65ad\u589e\u5927<\/p>\n<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531101447910.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531101447910.png\" alt=\"\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E7%86%B5%E7%9A%84%E5%90%AB%E4%B9%89\"><\/span>\u71b5\u7684\u542b\u4e49<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u71b5\u8d8a\u5927\uff0c\u7cfb\u7edf\u8d8a\u6df7\u4e71\u7684<\/li>\n<li>\u71b5\u8d8a\u5c0f\uff0c\u7cfb\u7edf\u8d8a\u6709\u5e8f\u7684<\/li>\n<\/ul>\n<blockquote>\n<p>\u4f8b\u5982\uff1a<\/p>\n<p>\u751f\u6d3b\u4e0a\uff1a\u5982\u679c<strong>\u623f\u95f4<\/strong>(\u5c01\u95ed\u7cfb\u7edf)\u6ca1\u6709\u5b9a\u671f\u53bb<strong>\u6253\u626b<\/strong>(\u5916\u529b\u5f15\u5165)\uff0c\u5c4b\u5b50\u4f1a\u53d8\u5f97\u8d8a\u6765\u8d8a\u4e71(\u71b5\u589e)\uff0c\u623f\u95f4\u8d8a\u4e71\u71b5\u8d8a\u5927\u3002<\/p>\n<p>\u5de5\u4f5c\u4e0a<strong>\uff1a\u5982\u679c\u7535\u8111\u684c\u9762\u7684<\/strong>\u6587\u4ef6\u5939<strong>(\u5c01\u95ed\u7cfb\u7edf)\u6ca1\u6709\u65bd\u52a0\u4e00\u5b9a\u7684<\/strong>\u5f52\u7c7b\u5f52\u6863**\u5de5\u4f5c(\u5916\u529b\u5f15\u5165)\uff0c\u6587\u4ef6\u5939\u53ca\u684c\u9762\u4f1a\u8d8a\u6765\u8d8a\u4e71(\u71b5\u589e)\uff0c\u6587\u4ef6\u5939\u8d8a\u4e71\u71b5\u8d8a\u5927\u3002<\/p>\n<\/blockquote>\n<p>\u8054\u7cfb\u5230\u673a\u5668\u5b66\u4e60\u548c\u4fe1\u606f\u8bba\u4e2d\uff1a<\/p>\n<ul>\n<li>\n<p>\u71b5\uff08Entropy\uff09\u662f\u4fe1\u606f\u7406\u8bba\u4e2d\u7528\u4e8e\u8861\u91cf\u7cfb\u7edf\u65e0\u5e8f\u7a0b\u5ea6\u6216\u4e0d\u786e\u5b9a\u6027\u7684\u6307\u6807\u3002<\/p>\n<\/li>\n<li>\n<p>\u8f93\u51fa\u8d8a\u786e\u5b9a\u8d8a\u4e0d\u6df7\u4e71\uff0c\u8d8a\u4e0d\u786e\u5b9a\u8d8a\u6df7\u4e71\u3002<\/p>\n<blockquote>\n<p>\u4f8b\u5982\uff1a\u8003\u8bd5\u505a\u9009\u62e9\u9898\uff0c\u4e00\u4e2a\u9009\u62e9\u9898\u6709\u56db\u4e2aA\u3001B\u3001C\u3001D\u9009\u9879\uff1b\u660e\u786e\u77e5\u9053\u9009\u62e9\u9898\u9009\u54ea\u4e2a\uff0c\u71b5\u8d8a\u5c0f\u8111\u5b50\u8d8a\u4e0d\u6df7\u4e71\uff1b\u4e0d\u77e5\u9053\u9009\u54ea\u4e2a\uff0c4\u4e2a\u9009\u9879\u770b\u7740\u90fd\u50cf\uff0c\u4ee3\u8868\u71b5\u8d8a\u5927\u8111\u5b50\u8d8a\u6df7\u4e71\u3002<\/p>\n<\/blockquote>\n<\/li>\n<li>\n<p>\u4e00\u4e2a\u6a21\u578b\uff0c\u5728\u7ed9\u5b9a\u8f93\u5165\u540e\uff0c\u6a21\u578b\u80fd\u591f\u8d8a\u80af\u5b9a\u5f97\u8f93\u51fa\u7ed3\u679c\uff0c\u90a3\u4e48\u4ee3\u8868\u6a21\u578b\u662f\u4e00\u4e2a\u597d\u7684\u6a21\u578b\uff1b\u76f8\u53cd\uff0c\u5982\u679c\u4e0d\u80fd\u786e\u5b9a\u7684\u7ed9\u5b9a\u7ed3\u679c(\u751a\u81f3\u662f\u778e\u731c)\uff0c\u90a3\u4e48\u5c31\u4e0d\u80fd\u7b97\u505a\u597d\u7684\u6a21\u578b\u3002<\/p>\n<blockquote>\n<p>\u4f8b\u5982\uff1a\u5728\u9e22\u5c3e\u82b1\u7684\u793a\u4f8b\u4e2d\uff0c\u5982\u679c\u7ed9\u5b9a\u4e00\u4e2a\u9e22\u5c3e\u82b1\u7684\u6570\u636e\u8ba9\u673a\u5668\u8fdb\u884c\u9884\u6d4b\u662f\u54ea\u79cd\u7c7b\u578b\u3002\u5982\u679c\u6a21\u578b\u80fd\u591f99%\u786e\u5b9a\u7ed9\u5b9a\u6570\u636e\u662f\u67d0\u4e00\u4e2a\u7c7b\u578b\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6a21\u578b\u662f\u6211\u4eec\u9700\u8981\u7684\u3001\u662f\u597d\u7684\u6a21\u578b\uff1b\u5982\u679c\u6a21\u578b\u7ed9\u51fa\u7684\u7ed3\u679c\u662f1\/3\u6982\u7387\u662f1\u7c7b\u578b\uff0c1\/3\u6982\u7387\u662f2\u7c7b\u578b\uff0c1\/3\u6982\u7387\u662f3\u7c7b\u578b\uff0c\u90a3\u4e48\u8fd9\u4e2a\u5b9e\u9645\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002<\/p>\n<\/blockquote>\n<\/li>\n<li>\n<p>\u673a\u5668\u5b66\u4e60\u7684\u8bad\u7ec3\u8fc7\u7a0b\u672c\u8d28\u4e0a\u5c31\u662f\u5bf9\u6297\u71b5\u7684\u8fc7\u7a0b\u3002<\/p>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%E7%86%B5%E7%9A%84%E8%AE%A1%E7%AE%97\"><\/span>\u71b5\u7684\u8ba1\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u5bf9\u4e8e\u4e00\u4e2a\u5305\u542b\u591a\u4e2a\u7c7b\u522b\u7684\u6570\u636e\u96c6\uff0c\u71b5\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a\n<pre><code class=\"language-katex\">H(S) = - \\sum_{i=1}^{c} p_i \\log_2(p_i)<\/code><\/pre>\n<p>\u5176\u4e2d\uff1a<br \/>\n<code class=\"katex-inline\">H(S)<\/code> \u662f\u6570\u636e\u96c6 <code class=\"katex-inline\">S<\/code> \u7684\u71b5\u3002<br \/>\n<code class=\"katex-inline\">c<\/code> \u662f\u6570\u636e\u96c6\u4e2d\u4e0d\u540c\u7c7b\u522b\u7684\u6570\u91cf\u3002<br \/>\n<code class=\"katex-inline\">p_i<\/code> \u662f\u6570\u636e\u96c6\u4e2d\u7b2c <code class=\"katex-inline\">i<\/code> \u4e2a\u7c7b\u522b\u6240\u5360\u6bd4\u4f8b\u3002<\/p>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%E4%BB%A3%E7%A0%81%E5%AE%9E%E7%8E%B0\"><\/span>\u4ee3\u7801\u5b9e\u73b0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code class=\"language-python\">&quot;&quot;&quot;\n    \u5047\u5b9a\u4e00\u4e2a\u7cfb\u7edf\u8f93\u51fa\u67092\u79cd\u60c5\u51b5\uff1a\n    - A:[0.9, 0.1] -0.9\u6982\u7387\u8f93\u51fa\u7b2c\u4e00\u79cd\u7ed3\u679c\uff0c0.1\u6982\u7387\u8f93\u51fa\u7b2c\u4e8c\u79cd\n    - B:[0.6, 0.4] -0.6\u6982\u7387\u8f93\u51fa\u7b2c\u4e00\u79cd\u7ed3\u679c\uff0c0.4\u6982\u7387\u8f93\u51fa\u7b2c\u4e8c\u79cd\n    - C:[0.5, 0.5] -0.5\u6982\u7387\u8f93\u51fa\u7b2c\u4e00\u79cd\u7ed3\u679c\uff0c0.5\u6982\u7387\u8f93\u51fa\u7b2c\u4e8c\u79cd\n\n    \u95ee\u9898\uff1a\u8ba1\u7b97\u4ee5\u4e0aA\u3001B\u3001C\u7684\u71b5\uff0c\u770b\u54ea\u4e00\u79cd\u60c5\u51b5\u71b5\u6bd4\u8f83\u5927\n&quot;&quot;&quot;\n\nimport numpy as np\n\n# \u5b9a\u4e49\u8ba1\u7b97\u71b5\u7684\u51fd\u6570\ndef entropy(probabilities):\n    return -np.sum(probabilities * np.log2(probabilities))\n\n# \u5b9a\u4e49\u6bcf\u79cd\u60c5\u51b5\u7684\u6982\u7387\u5206\u5e03\nA = np.array([0.9, 0.1])\nB = np.array([0.6, 0.4])\nC = np.array([0.5, 0.5])\n\n# \u8ba1\u7b97\u6bcf\u79cd\u60c5\u51b5\u7684\u71b5\nentropy_A = entropy(A)\nentropy_B = entropy(B)\nentropy_C = entropy(C)\n\n# \u8f93\u51fa\u7ed3\u679c\nprint(&quot;\u60c5\u51b5A\u7684\u71b5\uff1a&quot;, entropy_A)\nprint(&quot;\u60c5\u51b5B\u7684\u71b5\uff1a&quot;, entropy_B)\nprint(&quot;\u60c5\u51b5C\u7684\u71b5\uff1a&quot;, entropy_C)<\/code><\/pre>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531114037733.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531114037733.png\" alt=\"\" \/><\/a><br \/>\n\u7531\u4e0a\u8ba1\u7b97\u53ef\u77e5\uff0cC:[0.5, 0.5]\u7684\u8f93\u51fa\u8d8a\u4e0d\u786e\u5b9a(\u4e00\u534a\u6982\u7387\u8f93\u51fa\u7b2c\u4e00\u79cd\u7ed3\u679c\uff0c\u4e00\u534a\u8f93\u51fa\u7b2c\u4e8c\u79cd\u7ed3\u679c)\uff0c\u6240\u4ee5\u5176\u8d8a\u6df7\u4e71\u71b5\u8d8a\u5927\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%86%B3%E7%AD%96%E6%A0%91\"><\/span>\u51b3\u7b56\u6811<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E6%A6%82%E5%BF%B5\"><\/span>\u51b3\u7b56\u6811\u7684\u6982\u5ff5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u51b3\u7b56\u6811\u662f\u4e00\u79cd\u7528\u4e8e\u89e3\u51b3\u5206\u7c7b\u95ee\u9898\u7684\u7b97\u6cd5\u3002\u5b83\u901a\u8fc7\u6811\u72b6\u7ed3\u6784\u6765\u8868\u793a\u5404\u79cd\u51b3\u7b56\u89c4\u5219\uff0c\u5e76\u6839\u636e\u8f93\u5165\u6570\u636e\u7684\u7279\u5f81\u9010\u6b65\u8fdb\u884c\u51b3\u7b56\uff0c\u76f4\u5230\u8fbe\u5230\u6700\u7ec8\u7684\u9884\u6d4b\u7ed3\u679c\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E4%B8%80%E4%B8%AA%E4%BE%8B%E5%AD%90\"><\/span>\u4e00\u4e2a\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u6279\u5982\u4e0b\u7684\u6570\u636e\u96c6\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>ID<\/th>\n<th>\u6709\u623f\u8005<\/th>\n<th>\u5a5a\u59fb<\/th>\n<th>\u5e74\u6536\u5165<\/th>\n<th>\u662f\u5426\u62d6\u6b20\u8d37\u6b3e\u8005<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1<\/td>\n<td>\u662f<\/td>\n<td>\u5355\u8eab<\/td>\n<td>10\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>\u5426<\/td>\n<td>\u5df2\u5a5a<\/td>\n<td>8\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>\u662f<\/td>\n<td>\u79bb\u5f02<\/td>\n<td>12\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>\u662f<\/td>\n<td>\u5df2\u5a5a<\/td>\n<td>15\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>\u5426<\/td>\n<td>\u5355\u8eab<\/td>\n<td>6\u4e07<\/td>\n<td>\u662f<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>\u662f<\/td>\n<td>\u5df2\u5a5a<\/td>\n<td>18\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>\u662f<\/td>\n<td>\u5355\u8eab<\/td>\n<td>9\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>\u5426<\/td>\n<td>\u79bb\u5f02<\/td>\n<td>7\u4e07<\/td>\n<td>\u662f<\/td>\n<\/tr>\n<tr>\n<td>9<\/td>\n<td>\u662f<\/td>\n<td>\u5df2\u5a5a<\/td>\n<td>14\u4e07<\/td>\n<td>\u5426<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>\u5426<\/td>\n<td>\u5355\u8eab<\/td>\n<td>5\u4e07<\/td>\n<td>\u662f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5176\u4e2d\u6709\u623f\u8005\u3001\u5a5a\u59fb\u3001\u5e74\u6536\u5165\u662f\u7279\u5f81(\u6216\u8005\u53eb\u5c5e\u6027)\uff0c\u662f\u5426\u62d6\u6b20\u8d37\u6b3e\u8005\u662f\u6807\u7b7e\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u60f3\u901a\u8fc7\u8fd9\u4e9b\u7279\u5f81\u6765\u9884\u6d4b\u4e0b\u4e00\u4e2a\u6570\u636e\u662f\u5426\u4f1a\u62d6\u6b20\u8d37\u6b3e\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u6784\u5efa\u4e00\u4e2a\u51b3\u7b56\u6811\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531105811038.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531105811038.png\" alt=\"\" \/><\/a><\/p>\n<blockquote>\n<p>\u51b3\u7b56\u6811\u7684\u63a8\u7406\u8fc7\u7a0b\uff1a<\/p>\n<ul>\n<li>\n<p>\u6bcf\u4e2a\u8282\u70b9\u90fd\u662f\u4e00\u4e2a\u5224\u65ad\u8fc7\u7a0b<\/p>\n<\/li>\n<li>\n<p>\u76f4\u5230\u627e\u5230\u53f6\u5b50\u7ed3\u70b9\u6ca1\u6709\u5b50\u8282\u70b9\u540e\uff0c\u5373\u8f93\u51fa\u8fd4\u56de<\/p>\n<\/li>\n<\/ul>\n<\/blockquote>\n<h3><span class=\"ez-toc-section\" id=\"%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E9%A2%84%E6%B5%8B\"><\/span>\u51b3\u7b56\u6811\u7684\u9884\u6d4b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728Python\u4e2dsklearn\u6709\u63d0\u4f9b\u76f8\u5173\u7684\u51b3\u7b56\u6811\u5e93\u51fd\u6570\uff0c\u6211\u4eec\u4ecd\u7136\u4ee5\u9e22\u5c3e\u82b1\u7684\u5206\u7c7b\u6765\u4f7f\u7528\u51b3\u7b56\u6811\u8fdb\u884c\u9884\u6d4b\u3002<\/p>\n<pre><code class=\"language-python\">from sklearn.datasets import load_iris\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.tree import DecisionTreeClassifier\nfrom sklearn.tree import plot_tree\nimport matplotlib.pyplot as plt\n\n# \u52a0\u8f7d\u5f00\u6e90\u5e93\u4e2d\u7684iris\u6570\u636e\u96c6\nX,y = load_iris(return_X_y=True)\n\n# \u5207\u5206\u6570\u636e\u96c6\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, \n                                                    shuffle=True, \n                                                    random_state=0) \n\n# 1,\u6784\u5efa\u6a21\u578b\ndtc = DecisionTreeClassifier(criterion=&quot;entropy&quot;)\n\n# 2,\u8bad\u7ec3\u6a21\u578b\ndtc.fit(X=X_train, y=y_train)\n\n# 3,\u9884\u6d4b\u6570\u636e\ny_pred = dtc.predict(X=X_test)\n\n# 4,\u67e5\u770b\u51c6\u786e\u7387\nacc = (y_pred == y_test).mean()\nprint(&quot;\u51c6\u786e\u7387\uff1a&quot;, acc)\n\n# \u4f7f\u7528 plot_tree \u51fd\u6570\u7ed8\u5236\u51b3\u7b56\u6811\nplt.figure(figsize=(20, 20))\nplot_tree(dtc, filled=True)\nplt.show()<\/code><\/pre>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531151619758.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531151619758.png\" alt=\"\" \/><\/a><\/p>\n<p>\u4ee5\u4e0a\u4ee3\u7801\u6267\u884c\u540e\uff0c\u6211\u4eec\u501f\u52a9matplotlib\u548cplot_tree\u5c06\u9e22\u5c3e\u82b1\u9884\u6d4b\u65f6\u7684\u51b3\u7b56\u6811\u4ee5\u56fe\u5f62\u5316\u7684\u65b9\u5f0f\u4e00\u5e76\u8f93\u51fa\u6765\u4e86\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E6%9E%84%E5%BB%BA\"><\/span>\u51b3\u7b56\u6811\u7684\u6784\u5efa<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u51b3\u7b56\u6811\u7684\u5e94\u7528(\u5982\u4e0a\u56fe)\u662f\u76f8\u5bf9\u6bd4\u8f83\u7b80\u5355\u7684\uff0c\u800c\u5b66\u4e60\u7684\u91cd\u70b9\u6240\u5728\uff1a<strong>\u5982\u4f55\u6784\u5efa\u51b3\u7b56\u6811<\/strong>\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E6%A0%B8%E5%BF%83%E6%80%9D%E6%83%B3\"><\/span>\u6838\u5fc3\u601d\u60f3<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u901a\u8fc7\u5feb\u901f\u964d\u71b5\u7684\u65b9\u5f0f\uff0c\u627e\u5230\u5206\u5272\u7684\u8282\u70b9\uff0c\u4ece\u800c\u6784\u5efa\u6811\u7684\u5de6\u53f3\u5b50\u96c6<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E6%9E%84%E5%BB%BA%E6%AD%A5%E9%AA%A4\"><\/span>\u6784\u5efa\u6b65\u9aa4<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li>\n<p>\u9009\u62e9\u6700\u4f73\u7279\u5f81\uff1a<\/p>\n<ul>\n<li>\u5bf9\u6240\u6709\u7279\u5f81\u6570\u636e\u8fdb\u884c\u904d\u5386\uff0c\u8ba1\u7b97\u71b5\uff0c\u627e\u5230\u71b5\u964d\u5f97\u6700\u5c0f\u7684\u7279\u5f81<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u5206\u88c2\u6570\u636e\u96c6\uff1a<\/p>\n<ul>\n<li>\u5c06\u6570\u636e\u96c6\u6839\u636e\u9009\u62e9\u7684\u6700\u4f73\u7279\u5f81\u8fdb\u884c\u5206\u5272\uff0c\u5206\u4e3a\u5de6\u8fb9\u548c\u53f3\u8fb9\u4e24\u90e8\u5206\u5b50\u96c6\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u9012\u5f52\u6784\u5efa\uff1a<\/p>\n<ul>\n<li>\n<p>\u5bf9\u6bcf\u4e2a\u5b50\u96c6\u91cd\u590d1-2\u6b65\u9aa4\uff0c\u76f4\u5230\u6ee1\u8db3\u505c\u6b62\u6761\u4ef6\u3002<\/p>\n<\/li>\n<li>\n<p>\u505c\u6b62\u6761\u4ef6\u53ef\u4ee5\u662f\uff1a\u8fbe\u5230\u6700\u5927\u6df1\u5ea6\u3001\u8282\u70b9\u5305\u542b\u7684\u6837\u672c\u6570\u5c0f\u4e8e\u9608\u503c\u7b49\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u751f\u6210\u53f6\u8282\u70b9\uff1a<\/p>\n<ul>\n<li>\u5f53\u6ee1\u8db3\u505c\u6b62\u6761\u4ef6\u65f6\uff0c\u751f\u6210\u53f6\u8282\u70b9\u5e76\u786e\u5b9a\u53f6\u8282\u70b9\u7684\u7c7b\u522b(\u6216\u6570\u503c)\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"%E6%9E%84%E5%BB%BA%E8%BF%87%E7%A8%8B%E6%8E%A8%E5%AF%BC%E9%99%8D%E7%86%B5entropy\"><\/span>\u6784\u5efa\u8fc7\u7a0b\u63a8\u5bfc(\u964d\u71b5entropy)<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531164952824.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531164952824.png\" alt=\"\" \/><\/a><\/p>\n<p>\u5728\u4e0a\u8ff0\u7684\u51b3\u7b56\u6811\u4e2d\uff0c\u6211\u4eec\u901a\u8fc7plot_tree\u6253\u5370\u4e86\u5df2\u7ecf\u6784\u5efa\u7684\u51b3\u7b56\u6811\u3002\u5176\u4e2d\u5728\u6839\u8282\u70b9\uff1a<\/p>\n<ul>\n<li>X[2] = 2.35\uff0c\u4ee3\u8868\u5728\u7279\u5f812\u627e\u5230\u4e86\u6700\u4f73\u5206\u88c2\u70b9\uff0c\u6700\u4f73\u5206\u88c2\u503c\u4e3a1.581<\/li>\n<li>Entropy = 1.581\uff0c\u4ee3\u8868\u6b64\u65f6\u7684\u71b5\u503c\u4e3a1.581<\/li>\n<li>Samples = 120 \uff0c\u4ee3\u8868\u6b64\u65f6\u7684\u6837\u672c\u6570\u91cf\u4e3a120\u4e2a<\/li>\n<\/ul>\n<p>\u4e0a\u8ff0\u51b3\u7b56\u6811\u901a\u8fc7\u4ee3\u7801\u6765\u6a21\u62df\u51b3\u7b56\u8fc7\u7a0b\uff0c\u5982\u4e0b\uff1a<\/p>\n<pre><code class=\"language-python\"># \u53d6\u7279\u5f81\u7684\u4e2a\u6570\nn_features = X_train.shape[-1]\n\nbest_split_feature_idx = None\nbest_split_feature_value = None\nbest_split_entropy = float(&#039;inf&#039;)\n\n# \u904d\u5386(0, 1, 2, 3)\u7279\u5f81\nfor feature_idx in range(n_features):\n    # \u2460\u7279\u5f81\u503c\u53bb\u91cd\n    for value in set(X_train[:, feature_idx]):\n        print(&#039;[iteration]\u5206\u88c2\u7279\u5f81\uff1a&#039;, feature_idx)\n        print(&#039;[iteration]\u5206\u88c2\u503c\uff1a&#039;, value)\n\n        # \u2461\u5206\u88c2\u503c\u4e0e\u7279\u5f81\u5bf9\u6bd4\uff0c\u7b5b\u9009\u51fa\u5bf9\u5e94\u6807\u7b7e\u5217\n        # \u5de6\u8fb9\u7684\u6807\u7b7e\u503c\n        y_left = y_train[(X_train[:, feature_idx] &lt;= value)]\n        entropy_left = get_entropy(y_left)\n        print(&#039;[iteration]\u5de6\u8fb9\u6807\u7b7e\u6570\u636e\uff1a&#039;, y_left)\n        print(&#039;[iteration]\u5de6\u8fb9\u7684\u71b5\uff1a&#039;, entropy_left)\n\n        # \u53f3\u8fb9\u7684\u6807\u7b7e\u503c\n        y_right = y_train[(X_train[:, feature_idx] &gt; value)]\n        entropy_right = get_entropy(y_right)\n        print(&#039;[iteration]\u53f3\u8fb9\u6807\u7b7e\u6570\u636e\uff1a&#039;, y_right)\n        print(&#039;[iteration]\u53f3\u8fb9\u7684\u71b5\uff1a&#039;, entropy_right)\n\n        # \u2462\u8ba1\u7b97\u878d\u5408\u7684\u71b5\n        entropy_all = entropy_left * len(y_left) \/ len(X_train[:, feature_idx]) \\\n                    + entropy_right * len(y_right) \/ len(X_train[:, feature_idx])\n        print(&#039;[iteration]\u878d\u5408\u7684\u71b5\uff1a&#039;, entropy_all)\n\n        if entropy_all &lt;= best_split_entropy:\n            best_split_entropy = entropy_all\n            best_split_feature_idx = feature_idx\n            best_split_feature_value = value\n            print(f&#039;[result]\u627e\u5230\u4e86\u4e00\u4e2a\u6700\u597d\u7684\u5206\u88c2\u70b9\uff1a{best_split_feature_idx}, {best_split_feature_value}, {best_split_entropy}&#039;)\n\n            # \u6253\u5370\u5de6\u8fb9\u548c\u53f3\u8fb9\u7684\u6837\u672c\u6570\u91cf\u548c\u53d6\u503c\n            print(&#039;[result]\u5de6\u8fb9\u6837\u672c\u6570\u91cf\uff1a&#039;, len(y_left))\n            print(&#039;[result]\u5de6\u8fb9\u6837\u672c\u53d6\u503c\uff1a&#039;, np.unique(y_left, return_counts=True))\n            print(&#039;[result]\u53f3\u8fb9\u6837\u672c\u6570\u91cf\uff1a&#039;, len(y_right))\n            print(&#039;[result]\u53f3\u8fb9\u6837\u672c\u53d6\u503c\uff1a&#039;, np.unique(y_right, return_counts=True))\n\n        print(&#039;------------&#039;)\n<\/code><\/pre>\n<p>\u6267\u884c\u7ed3\u679c\u5982\u4e0b\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531165517112.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531165517112.png\" alt=\"\" \/><\/a><\/p>\n<p>\u5c06\u4ee5\u4e0a\u8f93\u51fa\u7684\u65e5\u5fd7\u4fdd\u5b58\u5230\u672c\u5730\u7684.log\u6587\u4ef6\u4e2d\uff0c\u7136\u540e\u6211\u4eec\u7b5b\u9009\u51fa&quot;[result]\u627e\u5230\u4e86\u4e00\u4e2a\u6700\u597d\u7684\u5206\u88c2\u70b9&quot;\u8fd9\u6bb5\u65e5\u5fd7\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531165634843.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531165634843.png\" alt=\"\" \/><\/a><\/p>\n<p>\u901a\u8fc7\u4e0a\u56fe\u53ef\u4ee5\u770b\u5230\uff0c\u5bf9120\u4e2a\u6570\u636e\u96c6\u7684\u6bcf\u4e2a\u7279\u5f81\u8fdb\u884c\u904d\u5386\u8ba1\u7b97\u71b5\uff0c\u8ba1\u7b97\u4e4b\u540e\u627e\u5230\u4e86\u71b5\u6700\u5c0f\u7684\u5206\u88c2\u70b9\u6709\u4e24\u4e2a\uff0c\u5206\u522b\u4e3a\uff1a<\/p>\n<blockquote>\n<p>2, 1.7, 0.6713590373778532<\/p>\n<p>3, 0.6, 0.6713590373778532<\/p>\n<\/blockquote>\n<p>\u8fd9\u4e24\u4e2a\u5206\u88c2\u503c\u7684\u71b5\u5747\u4e3a0.67135\uff0c\u4e00\u4e2a\u662f\u7279\u5f812\u7c7b\u522b\u4e0b\u7684\u7279\u5f81\u503c1.7\uff0c\u4e00\u4e2a\u662f\u7279\u5f813\u7c7b\u522b\u4e0b\u7684\u7279\u5f81\u503c0.6\u3002\u5bf9\u6bd4plot_tree\u6253\u5370\u7684\u51b3\u7b56\u6811\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531170527559.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531170527559.png\" alt=\"\" \/><\/a><\/p>\n<ul>\n<li>x[2] &lt; = 2.35\uff1a\u5373\u7cfb\u7edf\u9009\u62e9\u7684\u662f\u7279\u5f812\u4e0b2.35(\u5373\uff1a(1.7+3.0) \/ 2 = 2.35)\u8fd9\u4e2a\u6700\u4f73\u5206\u88c2\u70b9\u3002<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531171943568.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531171943568.png\" alt=\"\" \/><\/a><\/p>\n<p>\u5176\u8fc7\u7a0b\u7528\u56fe\u6765\u8868\u793a\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531172326418.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531172326418.png\" alt=\"\" \/><\/a><\/p>\n<p>\u7531\u6b64\u53ef\u77e5\uff0c\u51b3\u7b56\u6811\u6574\u4f53\u7684\u8fd0\u884c\u65b9\u5f0f\u4e3a\uff1a<\/p>\n<ul>\n<li>\n<p>\u6784\u5efa\u6a21\u578b\uff1a\u901a\u8fc7\u5bf9\u8bad\u7ec3\u7684\u6570\u636e\u8fdb\u884c\u904d\u5386\u8ba1\u7b97\uff0c\u901a\u8fc7\u8ba1\u7b97\u71b5\u503c\u627e\u5230\u6700\u4f73\u5206\u88c2\u70b9\uff0c\u7136\u540e\u9012\u5f52\u8ba1\u7b97\u76f4\u5230\u8fbe\u5230\u505c\u6b62\u6761\u4ef6\uff0c\u540c\u65f6\u751f\u6210\u53f6\u8282\u70b9\u3002<\/p>\n<\/li>\n<li>\n<p>\u9884\u6d4b\u6570\u636e\uff1a\u4f20\u5165\u65b0\u7684\u6570\u636e\u8fdb\u884c\u5206\u7c7b\u65f6\uff0c\u51b3\u7b56\u6811\u8fdb\u884c\u7279\u5f81\u7684\u5339\u914d\u8ba1\u7b97\u4ece\u800c\u627e\u5230\u5bf9\u5e94\u7684\u53f6\u5b50\u8282\u70b9\u3002<\/p>\n<blockquote>\n<p>\u4f8b\u5982\uff1a\u5047\u8bbe\u9700\u8981\u9884\u6d4b\u4e00\u4e2a[ 1, 2, 3, 4]\u7684\u6837\u672c\uff0c\u90a3\u4e48\u51b3\u7b56\u6811<\/p>\n<ul>\n<li>\u9996\u5148\u5bf9\u7279\u5f812(\u53733)\u8fdb\u884c\u5224\u65ad\uff0c\u53d1\u73b03\u5c0f\u4e8e2.35\u4e0d\u6210\u7acb\uff0c\u5411\u53f3\u8d70\uff1b<\/li>\n<li>\u7136\u540e\u5bf9\u7279\u5f813(\u53734)\u8fdb\u884c\u5224\u65ad\uff0c\u53d1\u73b04&lt;=1.75\u4e0d\u6210\u7acb\uff0c\u5411\u53f3\u8d70\uff1b<\/li>\n<li>\u7136\u540e\u5bf9\u7279\u5f812(\u53733)\u8fdb\u884c\u5224\u65ad\uff0c\u53d1\u73b03&lt;=4.85\u6210\u7acb\uff0c\u5411\u5de6\u8d70\uff1b<\/li>\n<li>\u7136\u540e\u5bf9\u7279\u5f810(\u53731)\u8fdb\u884c\u5224\u65ad\uff0c\u53d1\u73b01&lt;=5.95\u6210\u7acb\uff0c\u5411\u5de6\u8d70\u8fbe\u5230\u53f6\u5b50\u8282\u70b9\uff0c\u8fd4\u56de\u7c7b\u522b1<\/li>\n<\/ul>\n<\/blockquote>\n<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531172947715.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531172947715.png\" alt=\"\" \/><\/a><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E6%9E%84%E5%BB%BA%E8%BF%87%E7%A8%8B%E6%8E%A8%E5%AF%BC%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0gini\"><\/span>\u6784\u5efa\u8fc7\u7a0b\u63a8\u5bfc(\u57fa\u5c3c\u7cfb\u6570gini)<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h5><span class=\"ez-toc-section\" id=\"%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0%E7%9A%84%E5%AE%9A%E4%B9%89\"><\/span>\u57fa\u5c3c\u7cfb\u6570\u7684\u5b9a\u4e49<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p>\u5b9a\u4e49\uff1a\u57fa\u5c3c\u7cfb\u6570\uff08Gini Index\uff09\u662f\u51b3\u7b56\u6811\u7b97\u6cd5\u4e2d\u7528\u4e8e\u8861\u91cf\u6570\u636e\u96c6\u7eaf\u5ea6\u7684\u6307\u6807\u4e4b\u4e00\u3002<\/p>\n<h5><span class=\"ez-toc-section\" id=\"%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0%E7%9A%84%E6%8E%A8%E5%AF%BC\"><\/span>\u57fa\u5c3c\u7cfb\u6570\u7684\u63a8\u5bfc<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<ul>\n<li>\n<p>\u5047\u8bbe\u6709\u4e09\u4e2a\u6982\u7387[p1, p2, p3]<\/p>\n<ul>\n<li>\u8ba1\u7b97\u5176\u71b5\u503c\u65b9\u6cd5\u4e3a\uff1a<\/li>\n<\/ul>\n<p>-( p1 <em> log2(p1) + p2 <\/em> log2(p2) + p3 * log2(p3) )          \u2192<\/p>\n<p>-p1 <em> log2(p1) &#8211; p2 <\/em> log2(p2) &#8211; p3 * log2(p3) )              \u2192<\/p>\n<p>p1 <em> log2(1\/p1) + p2 <\/em> log2(1\/p2) + p3 * log2(1\/p3) )  ~<\/p>\n<p>p1 <em> ( 1 &#8211; p1) + p2 <\/em> (1 &#8211; p2) + p3 * (1 &#8211; p3)<\/p>\n<\/li>\n<\/ul>\n<h5><span class=\"ez-toc-section\" id=\"%E5%9F%BA%E5%B0%BC%E7%B3%BB%E6%95%B0%E7%9A%84%E6%84%8F%E4%B9%89\"><\/span>\u57fa\u5c3c\u7cfb\u6570\u7684\u610f\u4e49<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p>\u57fa\u5c3c\u7cfb\u6570\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u5de5\u7a0b\u4e0a\u5bf9\u71b5\u8ba1\u7b97\u7684\u6570\u5b66\u5316\u7b80\uff0c\u53ef\u4ee5\u7701\u53bb\u8f83\u4e3a\u9ebb\u70e6\u7684log2(1\/P)\u7684\u8ba1\u7b97\uff0c\u53d6\u800c\u4ee3\u4e4b\u7684\u53d8\u4e3aP * (1-P)\uff0c\u4ece\u800c\u964d\u4f4e\u5de5\u7a0b\u7684\u8ba1\u7b97\u4ee3\u4ef7\u3002<\/p>\n<p>\u4ee5\u4e0a\u51b3\u7b56\u6811\u6539\u4e3a\u4f7f\u7528gini\u7cfb\u6570\u6765\u8fdb\u884c\u6784\u5efa\uff1a<\/p>\n<pre><code class=\"language-python\">from sklearn.datasets import load_iris\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.tree import DecisionTreeClassifier\nfrom sklearn.tree import plot_tree\nimport matplotlib.pyplot as plt\n\n# \u52a0\u8f7d\u5f00\u6e90\u5e93\u4e2d\u7684iris\u6570\u636e\u96c6\nX,y = load_iris(return_X_y=True)\n\n# \u5207\u5206\u6570\u636e\u96c6\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, \n                                                    shuffle=True, \n                                                    random_state=0) \n\n# 1,\u6784\u5efa\u6a21\u578b\ndtc = DecisionTreeClassifier(criterion=&quot;gini&quot;)\n\n# 2,\u8bad\u7ec3\u6a21\u578b\ndtc.fit(X=X_train, y=y_train)\n\n# 3,\u9884\u6d4b\u6570\u636e\ny_pred = dtc.predict(X=X_test)\n\n# 4,\u67e5\u770b\u51c6\u786e\u7387\nacc = (y_pred == y_test).mean()\nprint(&quot;\u51c6\u786e\u7387\uff1a&quot;, acc)\n\n# \u4f7f\u7528 plot_tree \u51fd\u6570\u7ed8\u5236\u51b3\u7b56\u6811\nplt.figure(figsize=(20, 20))\nplot_tree(dtc, filled=True)\nplt.show()<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531180606829.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531180606829.png\" alt=\"\" \/><\/a><\/p>\n<p>\u6a21\u62df\u51b3\u7b56\u6811\u6784\u5efa\u8fc7\u7a0b\u6539\u4e3agini\u7cfb\u6570\u5982\u4e0b\uff1a<\/p>\n<pre><code class=\"language-python\">import numpy as np\n\n# \u8ba1\u7b97\u4f20\u5165\u7684logits\u6982\u7387\n# \u8ba1\u7b97\u65b9\u6cd5\uff1a\n# 1\u3001\u5bf9logits\u8fdb\u884c\u53bb\u91cd\n# 2\u3001\u8ba1\u7b97\u6bcf\u4e2alabel\uff08\u4f8b\u5982\uff1a0,1,2\uff09\u51fa\u73b0\u7684\u6b21\u6570\n# 3\u3001\u6982\u7387=\u51fa\u73b0\u6b21\u6570\/\u603b\u7684logits\u4e2a\u6570\ndef get_gini(logits = [2, 1, 0, 2, 2, 1, 0, 2]):\n\n    # \u7c7b\u578b\u8f6c\u6362\u4e3anp\u6570\u7ec4\n    logits = np.array(logits)\n\n    # \u83b7\u5f97\u4e0d\u540c\u7c7b\u578b\u7684\u6807\u7b7e\u6570\u91cf\n    num_logits = len(logits)\n\n    # \u7279\u6b8a\u5904\u7406\uff1a\u6ca1\u6709\u6837\u672c\u6216\u8005\u6837\u672c\u7c7b\u578b\u90fd\u4e00\u6837\uff0c\u5219\u6df7\u4e71\u7a0b\u5ea6\u4e00\u6837\uff0c\u71b5\u4e3a0\n    if num_logits &lt; 2:\n        return 0\n\n    # \u8ba1\u7b97\u5bf9\u5e94\u6807\u7b7e\u7684\u6982\u7387\uff0c\u5373\uff1a\u6982\u7387 = \u51fa\u73b0\u6b21\u6570\/\u603b\u7684\u4e2a\u6570\n    probs = np.array([(logits == label).sum() for label in set(logits)]) \/ len(logits)\n\n    # \u8ba1\u7b97\u7cfb\u7edf\u7684\u71b5\n    gini = (probs * (1 - probs)).sum()\n\n    print(&quot;[get_entropy]\u4f20\u5165\u7684logits\u503c\u4e3a\uff1a&quot;, logits)\n    print(&quot;[get_entropy]\u53bb\u91cd\u540e\u7684label\u4e3a\uff1a&quot;, set(logits))\n    print(&quot;[get_entropy]\u6bcf\u4e2alable\u7684\u6982\u7387\u4e3a\uff1a&quot;, probs)\n    print(&quot;[get_entropy]\u8ba1\u7b97\u5f97\u5230\u7684gini\u4e3a\uff1a&quot;, gini)\n\n    return gini\n\n# \u53d6\u7279\u5f81\u7684\u4e2a\u6570\nn_features = X_train.shape[-1]\n\nbest_split_feature_idx = None\nbest_split_feature_value = None\nbest_split_gini = float(&#039;inf&#039;)\n\n# \u904d\u5386(0, 1, 2, 3)\u7279\u5f81\nfor feature_idx in range(n_features):\n    # \u2460\u7279\u5f81\u503c\u53bb\u91cd\n    for value in set(X_train[:, feature_idx]):\n        print(&#039;[iteration]\u5206\u88c2\u7279\u5f81\uff1a&#039;, feature_idx)\n        print(&#039;[iteration]\u5206\u88c2\u503c\uff1a&#039;, value)\n\n        # \u2461\u5206\u88c2\u503c\u4e0e\u7279\u5f81\u5bf9\u6bd4\uff0c\u7b5b\u9009\u51fa\u5bf9\u5e94\u6807\u7b7e\u5217\n        # \u5de6\u8fb9\u7684\u6807\u7b7e\u503c\n        y_left = y_train[(X_train[:, feature_idx] &lt;= value)]\n        gini_left = get_gini(y_left)\n        print(&#039;[iteration]\u5de6\u8fb9\u6807\u7b7e\u6570\u636e\uff1a&#039;, y_left)\n        print(&#039;[iteration]\u5de6\u8fb9\u7684\u71b5\uff1a&#039;, gini_left)\n\n        # \u53f3\u8fb9\u7684\u6807\u7b7e\u503c\n        y_right = y_train[(X_train[:, feature_idx] &gt; value)]\n        gini_right = get_gini(y_right)\n        print(&#039;[iteration]\u53f3\u8fb9\u6807\u7b7e\u6570\u636e\uff1a&#039;, y_right)\n        print(&#039;[iteration]\u53f3\u8fb9\u7684\u71b5\uff1a&#039;, gini_right)\n\n        # \u2462\u8ba1\u7b97\u878d\u5408\u7684\u71b5\n        gini_all = gini_left * len(y_left) \/ len(X_train[:, feature_idx]) \\\n                    + gini_right * len(y_right) \/ len(X_train[:, feature_idx])\n        print(&#039;[iteration]\u878d\u5408\u7684\u71b5\uff1a&#039;, gini_all)\n\n        if gini_all &lt;= best_split_gini:\n            best_split_gini = gini_all\n            best_split_feature_idx = feature_idx\n            best_split_feature_value = value\n            print(f&#039;[result]\u627e\u5230\u4e86\u4e00\u4e2a\u6700\u597d\u7684\u5206\u88c2\u70b9\uff1a{best_split_feature_idx}, {best_split_feature_value}, {best_split_gini}&#039;)\n\n            # \u6253\u5370\u5de6\u8fb9\u548c\u53f3\u8fb9\u7684\u6837\u672c\u6570\u91cf\u548c\u53d6\u503c\n            print(&#039;[result]\u5de6\u8fb9\u6837\u672c\u6570\u91cf\uff1a&#039;, len(y_left))\n            print(&#039;[result]\u5de6\u8fb9\u6837\u672c\u53d6\u503c\uff1a&#039;, np.unique(y_left, return_counts=True))\n            print(&#039;[result]\u53f3\u8fb9\u6837\u672c\u6570\u91cf\uff1a&#039;, len(y_right))\n            print(&#039;[result]\u53f3\u8fb9\u6837\u672c\u53d6\u503c\uff1a&#039;, np.unique(y_right, return_counts=True))\n\n        print(&#039;------------&#039;)<\/code><\/pre>\n<p>\u8fd0\u884c\u5bf9\u6bd4\uff0cgini\u7cfb\u6570\u7684\u8ba1\u7b97\u4e0eplot_tree\u8f93\u51fa\u4e00\u81f4\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E5%86%B3%E7%AD%96%E6%A0%91%E7%9A%84%E6%84%8F%E4%B9%89\"><\/span>\u51b3\u7b56\u6811\u7684\u610f\u4e49<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u51b3\u7b56\u6811\u53ef\u4ee5\u7528\u4e8e\u8fdb\u884c\u7279\u5f81\u7b5b\u9009\u3002<\/p>\n<blockquote>\n<p>\u4f8b\u5982\uff1a\u901a\u8fc7\u9e22\u5c3e\u82b1\u5206\u7c7b\u95ee\u9898\u5bf9\u6bd4\u53d1\u73b0\uff0c\u5728\u51b3\u7b56\u6811\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\uff0c\u901a\u8fc7dtc.feature_importances_\u53ef\u4ee5\u770b\u5230\u7279\u5f811\u7684\u91cd\u8981\u6027\u4e3a0\uff0c\u57fa\u672c\u4e0a\u6ca1\u6709\u4ec0\u4e48\u4f5c\u7528\uff1b\u800c\u7279\u5f813\u6bd4\u8f83\u91cd\u8981\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531181104083.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/05\/image-20240531181104083.png\" alt=\"\" \/><\/a><\/p>\n<\/blockquote>\n<p>\u4f18\u70b9\uff1a\u89e3\u91ca\u6027\u6bd4\u8f83\u597d\uff0c\u53ef\u4ee5\u5bf9\u7279\u5f81\u8fdb\u884c\u91cd\u8981\u6027\u6392\u5e8f\uff0c\u6a21\u578b\u53ef\u5927\u53ef\u5c0f(\u53ef\u4ee5\u8fdb\u884c\u526a\u679d)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%9C%AC%E7%AB%A0%E5%B0%8F%E7%BB%93\"><\/span>\u672c\u7ae0\u5c0f\u7ed3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u71b5\u662f\u8861\u91cf\u4e00\u4e2a\u7cfb\u7edf\u7684\u6df7\u4e71\u7a0b\u5ea6\u3002\u71b5\u8d8a\u5927\uff0c\u7cfb\u7edf\u8d8a\u6df7\u4e71\u7684\uff1b\u71b5\u8d8a\u5c0f\uff0c\u7cfb\u7edf\u8d8a\u6709\u5e8f\u7684\u3002<\/li>\n<li>\u4e00\u4e2a\u6a21\u578b\u8f93\u51fa\u8d8a\u786e\u5b9a\u8d8a\u4e0d\u6df7\u4e71\uff0c\u8d8a\u4e0d\u786e\u5b9a\u8d8a\u6df7\u4e71\u3002<\/li>\n<li>\u51b3\u7b56\u6811\u662f\u4e00\u79cd\u7528\u4e8e\u89e3\u51b3\u5206\u7c7b\u95ee\u9898\u7684\u7b97\u6cd5\uff0c\u5b83\u901a\u8fc7\u4e00\u5b9a\u7684\u89c4\u5219\u5bf9\u6bcf\u4e00\u4e2a\u8282\u70b9\u8fdb\u884c\u5224\u65ad\uff0c\u76f4\u5230\u627e\u5230\u53f6\u5b50\u8282\u70b9\u540e\u8f93\u51fa\u8fd4\u56de\u3002<\/li>\n<li>\u57fa\u4e8e\u964d\u71b5\u7684\u601d\u60f3\uff0c\u51b3\u7b56\u6811\u5728\u6784\u5efa\u8fc7\u7a0b\u4e2d\uff0c\u5bf9\u6570\u636e\u8fdb\u884c\u904d\u5386\u8ba1\u7b97\u71b5\uff0c\u627e\u5230\u71b5\u964d\u5f97\u6700\u5c0f\u7684\uff0c\u7136\u540e\u5c06\u8be5\u71b5\u5bf9\u5e94\u7684\u503c\u4f5c\u4e3a\u5206\u88c2\u503c\uff0c\u5206\u4e3a\u5de6\u8fb9\u548c\u53f3\u8fb9\u4e24\u90e8\u5206\uff0c\u76f4\u5230\u7ed3\u675f\u3002<\/li>\n<li>\u4e3a\u4e86\u7b80\u5316\u71b5\u7684\u8ba1\u7b97\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528gini\u7cfb\u6570\u6765\u8fdb\u884c\u8ba1\u7b97\uff0c\u4ece\u800c\u7b80\u5316\u5de5\u7a0b\u8ba1\u7b97\u4ee3\u4ef7\u3002<\/li>\n<li>\u9664\u4e86\u51b3\u7b56\u6811\u8fdb\u884c\u9884\u6d4b\u4e4b\u5916\uff0c\u4e5f\u53ef\u4ee5\u7528\u4e8e\u8fdb\u884c\u7279\u5f81\u7b5b\u9009\u3002<\/li>\n<\/ul>\n<p align=\"center\">\u6b22\u8fce\u5173\u6ce8\u516c\u4f17\u53f7\u4ee5\u83b7\u5f97\u6700\u65b0\u7684\u6587\u7ae0\u548c\u65b0\u95fb<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u767d\u8272\u7248.bmp\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u767d\u8272\u7248.bmp\" alt=\"\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u8a00 \u672c\u7ae0\u5185\u5bb9\u4e3b\u8981\u662f\u5b66\u4e60\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u4e00\u4e2a 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