{"id":2040,"date":"2024-06-03T15:38:21","date_gmt":"2024-06-03T07:38:21","guid":{"rendered":"https:\/\/17aitech.com\/?p=2040"},"modified":"2024-10-08T15:23:02","modified_gmt":"2024-10-08T07:23:02","slug":"%e3%80%90%e8%af%be%e7%a8%8b%e6%80%bb%e7%bb%93%e3%80%91day5%e4%b8%8b%ef%bc%9apca%e9%99%8d%e7%bb%b4%e3%80%81svd%e5%88%86%e8%a7%a3%e3%80%81%e8%81%9a%e7%b1%bb%e7%ae%97%e6%b3%95%e5%92%8c%e9%9b%86","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=2040","title":{"rendered":"\u3010\u8bfe\u7a0b\u603b\u7ed3\u3011Day5\uff08\u4e0b\uff09\uff1aPCA\u964d\u7ef4\u3001SVD\u5206\u89e3\u3001\u805a\u7c7b\u7b97\u6cd5\u548c\u96c6\u6210\u5b66\u4e60"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 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 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class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-36\" href=\"https:\/\/17aitech.com\/?p=2040\/#%E5%8F%82%E8%80%83%E8%B5%84%E6%96%99%EF%BC%9A\" >\u53c2\u8003\u8d44\u6599\uff1a<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92\"><\/span>\u7ebf\u6027\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E5%88%86%E7%B1%BB%E4%B8%8E%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92\"><\/span>\u5206\u7c7b\u4e0e\u7ebf\u6027\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5047\u8bbe\u6709\u4ee5\u4e0b\u4e24\u79cd\u573a\u666f\uff1a<\/p>\n<ul>\n<li>\n<p><strong>\u573a\u666f\u4e00<\/strong>\uff1a\u5047\u8bbe\u4f60\u8981\u5f00\u53d1\u4e00\u4e2a\u5783\u573e\u90ae\u4ef6\u8fc7\u6ee4\u5668\u3002\u901a\u8fc7\u6536\u96c6\u5927\u91cf\u7684\u5df2\u6807\u8bb0\u4e3a\u5783\u573e\u90ae\u4ef6\u548c\u975e\u5783\u573e\u90ae\u4ef6\u7684\u7535\u5b50\u90ae\u4ef6\u6570\u636e\uff0c\u5229\u7528\u5206\u7c7b\u7b97\u6cd5\u8bad\u7ec3\u6a21\u578b\uff0c\u4f7f\u5176\u80fd\u591f\u81ea\u52a8\u8bc6\u522b\u65b0\u6536\u5230\u7684\u90ae\u4ef6\u662f\u5783\u573e\u90ae\u4ef6\u8fd8\u662f\u6b63\u5e38\u90ae\u4ef6\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u573a\u666f\u4e8c<\/strong>\uff1a\u5047\u8bbe\u4f60\u60f3\u9884\u6d4b\u623f\u5c4b\u4ef7\u683c\u3002\u901a\u8fc7\u6536\u96c6\u623f\u5c4b\u7684\u7279\u5f81\uff08\u5982\u9762\u79ef\u3001\u5367\u5ba4\u6570\u91cf\u3001\u5730\u7406\u4f4d\u7f6e\u7b49\uff09\u548c\u76f8\u5e94\u7684\u5b9e\u9645\u9500\u552e\u4ef7\u683c\u6570\u636e\uff0c\u5229\u7528\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u5efa\u7acb\u7279\u5f81\u4e0e\u623f\u5c4b\u4ef7\u683c\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ece\u800c\u9884\u6d4b\u672a\u6765\u623f\u5c4b\u7684\u4ef7\u683c\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u5bf9\u6bd4\u4ee5\u4e0a\u4e24\u4e2a\u573a\u666f\uff1a<\/p>\n<ul>\n<li>\u573a\u666f\u4e00\u65e8\u5728\u9884\u6d4b\u6570\u636e<strong>\u6240\u5c5e\u7684\u7c7b\u522b<\/strong>\uff0c\u800c\u573a\u666f\u4e8c\u65e8\u5728\u9884\u6d4b<strong>\u8fde\u7eed\u6570\u503c\u8f93\u51fa<\/strong>\u3002<\/li>\n<li>\u573a\u666f\u4e00\u8f93\u51fa<strong>\u79bb\u6563\u7684\u7c7b\u522b\u6807\u7b7e<\/strong>\uff0c\u800c\u573a\u666f\u4e8c\u8f93\u51fa<strong>\u8fde\u7eed\u7684\u6570\u503c<\/strong>\u3002<\/li>\n<\/ul>\n<p>\u5728\u673a\u5668\u5b66\u4e60\u4e2d\uff0c\u5206\u7c7b(\u5373\uff1a\u573a\u666f\u4e00)\u548c\u7ebf\u6027\u56de\u5f52(\u5373\uff1a\u573a\u666f\u4e8c)\u662f\u4e24\u79cd\u5e38\u89c1\u7684\u5b66\u4e60\u4efb\u52a1\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E4%BB%80%E4%B9%88%E6%98%AF%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92\"><\/span>\u4ec0\u4e48\u662f\u7ebf\u6027\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4eba\u4eec\u65e9\u5c31\u77e5\u6653\uff0c\u76f8\u6bd4\u51c9\u723d\u7684\u5929\u6c14\uff0c\u87cb\u87c0\u5728\u8f83\u4e3a\u708e\u70ed\u7684\u5929\u6c14\u91cc\u9e23\u53eb\u66f4\u4e3a\u9891\u7e41\u3002\u6570\u5341\u5e74\u6765\uff0c\u4e13\u4e1a\u548c\u4e1a\u4f59\u6606\u866b\u5b66\u8005\u5df2\u5c06\u6bcf\u5206\u949f\u7684\u9e23\u53eb\u58f0\u548c\u6e29\u5ea6\u65b9\u9762\u7684\u6570\u636e\u7f16\u5165\u76ee\u5f55\uff0c\u901a\u8fc7\u5c06\u6570\u636e\u7ed8\u5236\u4e3a\u56fe\u8868\u5982\u4e0b\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602192214853.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602192214853.png\" alt=\"\" \/><\/a><\/p>\n<p>\u6b64\u66f2\u7ebf\u56fe\u8868\u660e\u6e29\u5ea6\u968f\u7740\u9e23\u53eb\u58f0\u6b21\u6570\u7684\u589e\u52a0\u800c\u4e0a\u5347\u3002\u6211\u4eec\u53ef\u4ee5\u7ed8\u5236\u4e00\u6761\u76f4\u7ebf\u6765\u8fd1\u4f3c\u5730\u8868\u793a\u8fd9\u79cd\u5173\u7cfb\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602192258568.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602192258568.png\" alt=\"\" \/><\/a><\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u867d\u7136\u8be5\u76f4\u7ebf\u5e76\u672a\u7cbe\u786e\u65e0\u8bef\u5730\u7ecf\u8fc7\u6bcf\u4e2a\u70b9\uff0c\u4f46\u9488\u5bf9\u6211\u4eec\u62e5\u6709\u7684\u6570\u636e\uff0c\u6e05\u695a\u5730\u663e\u793a\u4e86\u9e23\u53eb\u58f0\u4e0e\u6e29\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb(\u5373y = mx + b)\u3002\u5982\u679c\u6211\u4eec\u8f93\u5165\u4e00\u4e2a\u65b0\u7684\u6bcf\u5206\u949f\u7684\u9e23\u53eb\u58f0\u503c x1 <strong>\u63a8\u65ad<\/strong>\uff08\u9884\u6d4b\uff09\u6e29\u5ea6 y\u2032\uff0c\u53ea\u9700\u5c06 x1 \u503c\u4ee3\u5165\u6b64\u6a21\u578b\u5373\u53ef\u3002<\/p>\n<p>\u8fd9\u4e2a\u901a\u8fc7\u5df2\u6709\u6570\u636e\u7684\u5173\u7cfb(\u9e23\u53eb\u58f0\u4e0e\u6e29\u5ea6\u7684\u5173\u7cfb)\uff0c\u6765\u9884\u6d4b\u8fd9\u4e2a\u7ebf\u6027\u6a21\u578b\u7684\u8fc7\u7a0b\u79f0\u4e4b\u4e3a<code><code>\u7ebf\u6027\u56de\u5f52<\/code><\/code>\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E7%9A%84%E5%AE%9E%E8%B7%B5\"><\/span>\u7ebf\u6027\u56de\u5f52\u7684\u5b9e\u8df5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4e0b\u9762\u6211\u4eec\u5c06\u7ed3\u5408\u6ce2\u58eb\u987f\u623f\u4ef7\u7684\u9884\u6d4b\u793a\u4f8b\uff0c\u6765\u5b9e\u9645\u4f53\u9a8c\u5728\u673a\u5668\u5b66\u4e60\u4e2d\u5982\u4f55\u5e94\u7528\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n<p>\u7b2c\u4e00\u6b65\uff1a\u4e0b\u8f7d\u6ce2\u58eb\u987f\u623f\u4ef7\u6570\u636e<\/p>\n<ul>\n<li>\u8bbf\u95eehttps:\/\/aistudio.baidu.com\/datasetdetail\/92436<\/li>\n<li>\u5c06boston.csv\u6587\u4ef6\u4e0b\u8f7d\u5230\u672c\u5730juypter notebook\u76ee\u5f55\u4e0b<\/li>\n<\/ul>\n<p>\u7b2c\u4e8c\u6b65\uff1a\u4ee3\u7801\u5b9e\u73b0<\/p>\n<pre><code class=\"language-python\">import numpy as np\n\n# \u8bfb\u53d6boston.csv\u6587\u4ef6\ndata = np.genfromtxt(&#039;boston.csv&#039;, delimiter=&#039;,&#039;, skip_header=1)\n\n# \u5206\u522b\u62c6\u5206\u7279\u5f81\u548c\u6807\u7b7e\nX = data[:, :-1]  # \u7279\u5f81\u5217\ny = data[:, -1]   # \u6807\u7b7e\u5217\n\n# \u6253\u5370\u7279\u5f81\u548c\u6807\u7b7e\u7684\u5f62\u72b6\nprint(&quot;\u7279\u5f81\u7684\u5f62\u72b6\uff1a&quot;, X.shape)\nprint(&quot;\u6807\u7b7e\u7684\u5f62\u72b6\uff1a&quot;, y.shape)\n\nfrom sklearn.model_selection import train_test_split\n\nX_train, X_test, y_train, y_test = train_test_split(X,\n                                                    y,\n                                                    test_size=0.15,\n                                                    random_state=0)\n# KNN\nfrom sklearn.neighbors import KNeighborsRegressor\n\n# 1,\u6784\u5efa\u6a21\u578b\nknn = KNeighborsRegressor()\n\n# 2,\u8bad\u7ec3\u6a21\u578b\nknn.fit(X=X_train, y=y_train)\n\n# 3,\u9884\u6d4b\ny_pred = knn.predict(X=X_test)\n\n# 4,\u67e5\u770b\u9884\u6d4b\u7ed3\u679c\u4e0e\u771f\u5b9e\u7ed3\u679c\u7684\u5dee\u522b(\u504f\u5dee)\ny_pred - y_test<\/code><\/pre>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602193731605.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602193731605.png\" alt=\"\" \/><\/a><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E8%AF%84%E4%BC%B0%E6%8C%87%E6%A0%87\"><\/span>\u8bc4\u4f30\u6307\u6807<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u5206\u7c7b\u901a\u5e38\u4f7f\u7528\u51c6\u786e\u7387\u3001\u7cbe\u786e\u5ea6\u7b49\u6307\u6807\u8bc4\u4f30\u6a21\u578b\u6027\u80fd\uff0c\u800c\u7ebf\u6027\u56de\u5f52\u901a\u5e38\u4f7f\u7528\u5747\u7edd\u5bf9\u504f\u5dee\u3001\u5e73\u5747\u5e73\u65b9\u504f\u5dee \u7b49\u6307\u6807\u8bc4\u4f30\u6a21\u578b\u62df\u5408\u7a0b\u5ea6\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602193938414.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602193938414.png\" alt=\"\" \/><\/a><\/p>\n<blockquote>\n<p>\u5907\u6ce8\uff1a\u5e73\u5747\u5e73\u65b9\u504f\u5dee\u4e0d\u5982\u5e73\u5747\u7edd\u5bf9\u504f\u5dee\u6709\u6570\u636e\u89e3\u91ca\u6027\uff0c\u4f46\u662f\u5728\u5b9e\u9645\u5de5\u7a0b\u4e2d\u4ecd\u7136\u8981\u4f7f\u7528\u5e73\u5747\u5e73\u65b9\u504f\u5dee\uff0c\u56e0\u4e3a\u8be5\u503c\u65b9\u4fbf\u6c42\u5bfc\u6570\u3002<\/p>\n<\/blockquote>\n<h4><span class=\"ez-toc-section\" id=\"KNN%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E8%BF%87%E7%A8%8B%E7%A4%BA%E6%84%8F\"><\/span>KNN\u7ebf\u6027\u56de\u5f52\u8fc7\u7a0b\u793a\u610f<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603110216818.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603110216818.png\" alt=\"\" \/><\/a><\/p>\n<blockquote>\n<p>KNN\u5728\u505a\u5206\u7c7b\u4efb\u52a1\u65f6\uff0c\u662f\u627e\u5230\u6700\u8fd1\u7684K\u4e2a\u90bb\u5c45(\u4f8b\u5982\uff1aK=5)\uff0c\u7136\u540e\u6295\u7968\u9009\u51fa\u51fa\u73b0\u6b21\u6570\u6700\u591a\u7684\u7c7b\u522b\uff1b\u7ebf\u6027\u56de\u5f52\u65f6\u4e0e\u5206\u7c7b\u7c7b\u4f3c\uff0c\u6240\u4e0d\u540c\u7684\u662f\u627e\u5230\u6700\u8fd1\u7684K\u4e2a\u90bb\u5c45\u540e\uff0c\u8ba1\u7b97\u5b83\u4eec\u8ddd\u79bb\u7684\u5747\u503c\u3002<\/p>\n<\/blockquote>\n<p>\u9664\u4e86\u4e0a\u8ff0\u53ef\u4ee5\u4f7f\u7528KNN\u8fdb\u884c\u9884\u6d4b\u4e4b\u5916\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u51b3\u7b56\u6811\u6765\u9884\u6d4b\uff0c\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<pre><code class=\"language-python\"># \u51b3\u7b56\u6811\nfrom sklearn.tree import DecisionTreeRegressor\n\n# 1,\u6784\u5efa\u6a21\u578b\ndtr = DecisionTreeRegressor()\n# 2,\u8bad\u7ec3\u6a21\u578b\ndtr.fit(X=X_train, y=y_train)\n# 3,\u9884\u6d4b\ny_pred = dtr.predict(X=X_test)\n# 4,\u5e73\u5747\u7edd\u5bf9\u504f\u5dee\nnp.abs(y_pred - y_test).mean()<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602194546284.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602194546284.png\" alt=\"\" \/><\/a><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E5%86%B3%E7%AD%96%E6%A0%91%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E8%BF%87%E7%A8%8B%E7%A4%BA%E6%84%8F\"><\/span>\u51b3\u7b56\u6811\u7ebf\u6027\u56de\u5f52\u8fc7\u7a0b\u793a\u610f<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603111315877.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603111315877.png\" alt=\"\" \/><\/a><\/p>\n<blockquote>\n<p>\u51b3\u7b56\u6811\u5728\u505a\u5206\u7c7b\u4efb\u52a1\u65f6\uff0c\u627e\u6700\u4f73\u5206\u88c2\u503c\u662f\u901a\u8fc7\u8ba1\u7b97\u71b5(\u6216\u8005gini\u7cfb\u6570)\u5b9e\u73b0\uff1b\u7ebf\u6027\u56de\u5f52\u4e0e\u5206\u7c7b\u8fc7\u7a0b\u7c7b\u4f3c\uff0c\u6240\u4e0d\u540c\u7684\u662f\u627e\u5206\u88c2\u503c\u65f6\u662f\u901a\u8fc7\u8ba1\u7b97\u65b9\u5dee\u5b9e\u73b0\u3002<\/p>\n<\/blockquote>\n<p>\u6709\u5f88\u591a\u7684\u7b97\u6cd5\u90fd\u53ef\u4ee5\u7528\u6765\u8fdb\u884c\u7ebf\u6027\u56de\u5f52\uff0c\u5728sklearn\u4e2d\u4e5f\u6709LinearRegression\u7ebf\u6027\u56de\u5f52\u53ef\u4ee5\u8fdb\u884c\u9884\u6d4b\uff0c\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<pre><code class=\"language-python\"># \u7ebf\u6027\u56de\u5f52\nfrom sklearn.linear_model import LinearRegression\n\n# 1,\u6784\u5efa\u6a21\u578b\nlr = LinearRegression()\n\n# 2,\u8bad\u7ec3\u6a21\u578b\nlr.fit(X=X_train, y=y_train)\n\n# 3,\u9884\u6d4b\ny_pred = lr.predict(X=X_test)\n\nnp.abs(y_pred - y_test).mean()<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602194609867.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240602194609867.png\" alt=\"\" \/><\/a><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E8%BF%87%E7%A8%8B%E7%A4%BA%E6%84%8F\"><\/span>\u7ebf\u6027\u56de\u5f52\u8fc7\u7a0b\u793a\u610f<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603113510795.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603113510795.png\" alt=\"\" \/><\/a><\/p>\n<ul>\n<li>\n<p>\u8f93\u5165\uff1aX(0 ~ 12)<\/p>\n<\/li>\n<li>\n<p>\u8f93\u51fa\uff1ay<\/p>\n<\/li>\n<li>\n<p>\u5173\u7cfb\uff1a\u572813\u7ef4\u7a7a\u95f4\u5185\u7684\u6700\u7b80\u5355\u7684\u51fd\u6570\u5173\u7cfb\uff0c\u8fd9\u4e2a\u5173\u7cfb\u53c8\u53eb<code><code>\u7ebf\u6027\u5173\u7cfb<\/code><code>\uff0c\u4e5f\u53eb<\/code><code>\u7ebf\u6027\u7ec4\u5408<\/code><code>\u6216<\/code><code>\u7ebf\u6027\u56de\u5f52<\/code><\/code>\u3002<\/p>\n<blockquote>\n<p>\u5907\u6ce8\uff1a<\/p>\n<ul>\n<li>\u7531\u4e8eX\u4e0ey\u7684\u5173\u7cfb\u53ef\u4ee5\u662f\u65e0\u7a77\u65e0\u5c3d\u7684\uff0c\u6240\u4ee5\u518d\u627e\u8fd9\u4e24\u8005\u5173\u7cfb\u65f6\u9996\u5148\u4f7f\u7528\u7684\u662f\u7ebf\u6027\u5173\u7cfb\uff0c\u56e0\u4e3a\u8fd9\u662f\u591a\u4e2a\u81ea\u53d8\u91cf(X)\u4e0e\u4e00\u4e2a\u56e0\u53d8\u91cf(y)\u6240\u5728\u7a7a\u95f4\u4e2d\u6700\u7b80\u5355\u7684\u4e00\u79cd\u5173\u7cfb\u3002<\/li>\n<li>\u8fd9\u4e2a\u5173\u7cfb\u4e5f\u53eb\u4e00\u5c42\u795e\u7ecf\u7f51\u7edc(\u611f\u77e5\u673a\u5c42\uff0c\u4e5f\u53eb\u5168\u8fde\u63a5\u5c42\u3001\u7a20\u5bc6\u5c42)\uff0c\u5176\u672c\u8d28\u662f\uff1a\u53c2\u6570\u76f8\u4e58\u518d\u76f8\u52a0\u3002<\/li>\n<\/ul>\n<\/blockquote>\n<\/li>\n<li>\n<p>\u8bad\u7ec3\u8fc7\u7a0b\uff1a\u628a\u6837\u672c\u6570\u636e\u4ee3\u5165\uff0c\u9010\u6b65\u628a\u6743\u91cdw\uff08weight\uff09\u548c\u504f\u7f6eb\uff08bias\uff09\u90fd\u786e\u5b9a\u4e0b\u6765\u3002<\/p>\n<\/li>\n<li>\n<p>\u63a8\u7406\u8fc7\u7a0b\uff1a\u628a\u6837\u672c\u7279\u5f81X\u4ee3\u5165\u786e\u5b9a\u4e0b\u6765\u7684\u65b9\u7a0b\uff0c\u6c42\u89e3y\u5373\u53ef\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u4e0a\u8ff0w\u548cb\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u67e5\u770b\uff1a<\/p>\n<pre><code class=\"language-pyt\"># \u7ebf\u6027\u56de\u5f52\u7684\u6743\u91cd\nlr.coef_\n\n# \u7ebf\u6027\u56de\u5f52\u7684\u504f\u7f6e\nlr.intercept_<\/code><\/pre>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603113626291.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603113626291.png\" alt=\"\" \/><\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E9%80%BB%E8%BE%91%E5%9B%9E%E5%BD%92\"><\/span>\u903b\u8f91\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E4%BB%80%E4%B9%88%E6%98%AF%E9%80%BB%E8%BE%91%E5%9B%9E%E5%BD%92\"><\/span>\u4ec0\u4e48\u662f\u903b\u8f91\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u903b\u8f91\u56de\u5f52\u662f\u4e00\u79cd\u5e7f\u4e49\u7684\u7ebf\u6027\u56de\u5f52\u5206\u6790\u6a21\u578b\uff0c\u5176\u6838\u5fc3\u5728\u4e8e\u4f7f\u7528Sigmoid\u51fd\u6570\u5c06\u7ebf\u6027\u56de\u5f52\u7684\u7ed3\u679c\u6620\u5c04\u5230(0,1)\u7684\u8303\u56f4\u5185\uff0c\u4ece\u800c\u8868\u793a\u5c5e\u4e8e\u67d0\u4e00\u7c7b\u522b\u7684\u6982\u7387\u3002<\/p>\n<pre><code class=\"language-katex\">y=f(x)=sigmod(x_1w_1 + x_2w_2 + ... + x_{13}w_{13} +b)<\/code><\/pre>\n<h3><span class=\"ez-toc-section\" id=\"%E9%80%BB%E8%BE%91%E5%9B%9E%E5%BD%92%E7%A4%BA%E4%BE%8B\"><\/span>\u903b\u8f91\u56de\u5f52\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code class=\"language-python\"># \u903b\u8f91\u56de\u5f52\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.datasets import load_breast_cancer\nfrom sklearn.model_selection import train_test_split\n\n# \u52a0\u8f7d\u4e73\u817a\u764c\u6570\u636e\nX, y = load_breast_cancer(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# 1, \u6784\u5efa\u6a21\u578b\nlr = LogisticRegression( max_iter= 100000)\n\n# 2, \u8bad\u7ec3\u6a21\u578b\nlr.fit(X=X_train, y=y_train)\n\n# 3, \u8bc4\u4f30\u6a21\u578b(\u9884\u6d4b\u764c\u75c7\u662f\u826f\u6027\u8fd8\u662f\u6076\u6027)\ny_pred = lr.predict(X=X_test)\n(y_pred == y_test).mean()<\/code><\/pre>\n<blockquote>\n<p>\u903b\u8f91\u56de\u5f52\u867d\u7136\u5199\u7740\u662fRegression\u56de\u5f52\uff0c\u4f46\u5176\u672c\u8d28\u662f\u4e8c\u5206\u7c7b\uff0c\u5373\uff1a\u901a\u8fc7$sigmod$\u628a\u4efb\u610f\u6570\u8f6c\u6362\u4e3a[0,1]\u4e4b\u95f4\uff0c\u8f93\u51fa\u7684\u672c\u8d28\u4e0a\u662f0\u7c7b\u548c1\u7c7b\u5404\u81ea\u7684\u6982\u7387\u3002<\/p>\n<\/blockquote>\n<h2><span class=\"ez-toc-section\" id=\"%E7%89%B9%E5%BE%81%E5%B7%A5%E7%A8%8B\"><\/span>\u7279\u5f81\u5de5\u7a0b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e0a\u8ff0\u4e73\u817a\u764c\u7684\u793a\u4f8b\u6570\u636e\u4e2d\uff0c\u5176\u7279\u5f81\u503c\u670930\u4e2a\uff0c\u53ef\u4ee5\u770b\u5230\u7279\u5f81\u662f\u6bd4\u8f83\u591a\u7684\uff0c\u8fd9\u91cc\u5c31\u9700\u8981\u5f15\u5165\u7279\u5f81\u5de5\u7a0b\u76f8\u5173\u7684\u6982\u5ff5\u3002<\/p>\n<ul>\n<li>\u4e13\u4e1a\u89d2\u5ea6\uff1a30\u4e2a\u7279\u5f81\u6765\u81ea\u4e8e\u4e34\u5e8a\u4e00\u7ebf\u4e13\u5bb6\uff0c\u6bcf\u4e2a\u7279\u5f81\u90fd\u6709\u533b\u5b66\u5185\u6db5\u3002<\/li>\n<li>\u6570\u636e\u89d2\u5ea6\uff1a30\u4e2a\u7279\u5f81\u4e2d\u53ef\u80fd\u6709\u4e00\u4e9b\u662f\u5197\u4f59\u7684\u3002<\/li>\n<\/ul>\n<p>\u6570\u636e\u591a\u4e86\u53ef\u80fd\u4f1a\u5bfc\u81f4\u5b58\u50a8\u548c\u8ba1\u7b97\u4ee3\u4ef7\u589e\u52a0\uff0c\u6240\u4ee5\u9700\u8981\u8bbe\u6cd5\u6d88\u9664\u8fd9\u4e9b\u7279\u5f81\u3002\u6d88\u9664\u5197\u4f59\u7279\u5f81\u7684\u65b9\u6cd5\u4e3b\u8981\u6709\u4e24\u7c7b\uff1a<code><code>\u7279\u5f81\u7b5b\u9009<\/code><code> \u548c <\/code><code>\u7279\u5f81\u964d\u7ef4<\/code><\/code>\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E7%89%B9%E5%BE%81%E7%AD%9B%E9%80%89\"><\/span>\u7279\u5f81\u7b5b\u9009<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\n<p>\u5b9a\u4e49\uff1a\u4ece30\u4e2a\u9009\u51fa\u91cd\u8981\u7684\u6765\uff0c\u8e22\u6389\u4e0d\u91cd\u8981\u7684\uff0c\u9009\u51fa\u6765\u7684\u662f\u539f\u676530\u4e2a\u7684\u4e00\u90e8\u5206\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b56\u7565\uff1a(\u5982\u4f55\u8fdb\u884c\u7279\u5f81\u7b5b\u9009)<\/p>\n<ul>\n<li>\n<p>\u65b9\u5f0f\u4e00\uff1a\u968f\u673a\u9009\u62e9N\u4e2a(\u4f8b\u5982\uff1a5\u4e2a)\u7279\u5f81\uff0c\u8fdb\u884c\u51c6\u786e\u7387\u5206\u6790\u770b\u54ea\u4e2a\u7ed3\u679c\u66f4\u597d\u3002<\/p>\n<\/li>\n<li>\n<p>\u65b9\u5f0f\u4e8c\uff1a\u4e24\u4e24\u5224\u65ad<a href=\"https:\/\/17aitech.com\/?p=1945#toc-31\">\u76ae\u5c14\u900a<\/a>\u76f8\u5173\u7cfb\u6570\uff0c\u5c06\u7279\u5f81\u9ad8\u5ea6\u76f8\u5173\u7684\u5217\u9009\u51fa\u6765\uff0c\u53bb\u6389\u5176\u4e2d\u4e00\u5217\u3002<\/p>\n<\/li>\n<li>\n<p>\u65b9\u5f0f\u4e09\uff1a\u5229\u7528\u7ebf\u6027\u56de\u5f52\u7684\u7cfb\u6570\u6765\u7b5b\u9009(\u7531\u4e8e\u7ebf\u6027\u56de\u5f52\u662f\u76f8\u4e58\u518d\u76f8\u52a0\uff0c\u6240\u4ee5\u7cfb\u6570\u4ee3\u8868\u4e86\u6743\u91cd\uff0c\u90a3\u4e48\u627e\u5230\u6743\u91cd\u5927\u7684\u5373\u53ef)<\/p>\n<\/li>\n<\/ul>\n<blockquote>\n<p>\u5907\u6ce8\uff1a\u5229\u7528\u7ebf\u6027\u56de\u5f52\u662f\u6709\u524d\u63d0\u7684\uff0c\u9700\u8981\u5c06\u6570\u636e\u8fdb\u884c<a href=\"https:\/\/17aitech.com\/?p=2006#toc-18\">\u5f52\u4e00\u5316<\/a>\u5904\u7406\u3002<\/p>\n<\/blockquote>\n<ul>\n<li>\u65b9\u5f0f\u56db\uff1a\u5229\u7528\u51b3\u7b56\u6811\u8fdb\u884c\u7279\u5f81\u5206\u6790\u3002(\u5177\u4f53\u65b9\u6cd5\u89c1<a href=\"https:\/\/17aitech.com\/?p=1979#toc-18\">\u51b3\u7b56\u6811\u7684\u610f\u4e49<\/a>)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%E7%89%B9%E5%BE%81%E9%99%8D%E7%BB%B4\"><\/span>\u7279\u5f81\u964d\u7ef4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u5b9a\u4e49\uff1a\u628a\u539f\u676530\u4e2a\u7279\u5f81\u4e2d\u7684\u6838\u5fc3\u4fe1\u606f\u62bd\u53d6\u51fa\u6765\uff0c\u878d\u5408\u5230\u65b0\u751f\u6210\u7684N\u4e2a\u7279\u5f81\u4e2d\u3002(\u6ce8\u610f\uff1a\u65b0\u7684\u7279\u5f81\u4e0d\u662f\u539f\u6765\u7684\u4efb\u4f55\u4e00\u4e2a)<\/li>\n<li>\u7b56\u7565\uff1a\u901a\u8fc7SVD\u5206\u89e3\u3002<\/li>\n<\/ul>\n<blockquote>\n<p>\u5907\u6ce8\uff1a\u7279\u5f81\u964d\u7ef4\u8981\u6bd4\u7279\u5f81\u7b5b\u9009\u66f4\u597d\u4e00\u4e9b\uff0c\u56e0\u4e3a\u6709\u4e00\u4e9b\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u8fd8\u662f\u6709\u7528\u7684\uff0c\u76f4\u63a5\u53bb\u6389\u662f\u4e0d\u592a\u5408\u9002\u7684\u3002\u4f8b\u5982\uff1a\u73b0\u5b9e\u751f\u6d3b\u4e2d\u4e00\u5bb6\u516c\u53f8\u7684\u540e\u52e4\u5c97\u4f4d\u5176\u91cd\u8981\u6027\u76f8\u5bf9\u8f83\u4f4e\uff0c\u4f46\u662f\u5b83\u4e5f\u662f\u8981\u53d1\u6325\u4f5c\u7528\u7684\uff0c\u7f3a\u4e86\u8c01\u90fd\u4e0d\u884c\u3002<\/p>\n<\/blockquote>\n<p>\u4ee3\u7801\u5b9e\u73b0\uff1a<\/p>\n<pre><code class=\"language-python\">from sklearn.linear_model import LogisticRegression\nfrom sklearn.datasets import load_breast_cancer\nfrom sklearn.model_selection import train_test_split\n\n# \u52a0\u8f7d\u4e73\u817a\u764c\u6570\u636e\nX, y = load_breast_cancer(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# \u7279\u5f81\u964d\u7ef4\nfrom sklearn.decomposition import PCA\n\n# PCA:\u4e3b\u6210\u5206\u5206\u6790\uff0c\u662f\u4e00\u79cd\u65e0\u76d1\u7763\u5b66\u4e60\npca = PCA(n_components=20)\n\n# 1, [\u7279\u5f81\u964d\u7ef4]\uff1a\u8bad\u7ec3\u6a21\u578b\n# PCA\u65e0\u76d1\u7763\u6a21\u578b\u4e5f\u9700\u8981\u8bad\u7ec3\uff0c\u4f46\u4e0d\u9700\u8981\u4f20\u5165\u6807\u7b7e\npca.fit(X=X_train)\n\n# 2, [\u7279\u5f81\u964d\u7ef4]\uff1a\u5c06\u7279\u5f81\u964d\u7ef4\u81f320\u4e2a(\u901a\u8fc7X_train1.shape\u53ef\u4ee5\u67e5\u770b\u5230\u7279\u5f81\u53d8\u4e3a20\u4e2a)\nX_train1 = pca.transform(X=X_train)\nX_test1 = pca.transform(X=X_test)\n\n# 3, [\u903b\u8f91\u56de\u5f52]\uff1a\u6784\u5efa\u903b\u8f91\u56de\u5f52\u6a21\u578b\nlr1 = LogisticRegression( max_iter= 100000)\n\n# 4, [\u903b\u8f91\u56de\u5f52]\uff1a\u8bad\u7ec3\u903b\u8f91\u56de\u5f52\u6a21\u578b\nlr1.fit(X=X_train1, y=y_train)\n\n# 5, [\u903b\u8f91\u56de\u5f52]\uff1a\u9884\u6d4b\u8bc4\u4f30\u6a21\u578b\ny_pred = lr1.predict(X=X_test1)\n(y_pred == y_test).mean()<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603122502826.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603122502826.png\" alt=\"\" \/><\/a><\/p>\n<p>\u4e3a\u4e86\u66f4\u52a0\u76f4\u89c2\u770b\u5230\u7279\u5f81\u964d\u7ef4\u540e\u7684\u4e2a\u6570\u4e0e\u51c6\u786e\u7387\u7684\u5173\u7cfb\uff0c\u6211\u4eec\u901a\u8fc7\u4ee5\u4e0b\u4ee3\u7801\u5206\u522b\u6d4b\u8bd530~1\u4e2a\u7279\u5f81\u7684\u9884\u6d4b\u51c6\u786e\u7387\uff0c\u5e76\u901a\u8fc7matplotlib\u7684\u6298\u7ebf\u56fe\u6765\u7ed8\u5236\u51fa\u66f2\u7ebf\uff1a<\/p>\n<pre><code class=\"language-python\">import numpy as np\nimport matplotlib.pyplot as plt\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.datasets import load_breast_cancer\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.decomposition import PCA\n\nX, y = load_breast_cancer(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# \u5faa\u73af\u6d4b\u8bd530~1\u4e2a\u7279\u5f81\u4e0b\u7684\u51c6\u786e\u7387\naccuracies = []\nnum_features = range(30, 0, -1)\n\nfor n in num_features:\n    pca = PCA(n_components=n)\n    pca.fit(X=X_train)\n    X_train_pca = pca.transform(X_train)\n    X_test_pca = pca.transform(X_test)\n\n    lr = LogisticRegression(max_iter=100000)\n    lr.fit(X_train_pca, y_train)\n\n    accuracy = lr.score(X_test_pca, y_test)\n    accuracies.append(accuracy)\n\n# \u7ed8\u5236\u6298\u7ebf\u56fe\n# \u7ed8\u5236\u753b\u5e03\nplt.figure(figsize=(10, 6))\n\n# \u4ece\u7279\u5f8130\u5f00\u59cb\u4f9d\u6b21\u51cf\u52300\uff0c\u7ed8\u5236\u5bf9\u5e94\u7684\u51c6\u786e\u7387\u66f2\u7ebf\nplt.plot(range(30, 0, -1), accuracies, marker=&#039;o&#039;, linestyle=&#039;-&#039;)\n\n# \u7ed8\u5236X\u548cY\u5750\u6807\u6807\u7b7e\u4ee5\u53ca\u56fe\u6807title\nplt.xlabel(&#039;Number of Features&#039;)\nplt.ylabel(&#039;Accuracy&#039;)\nplt.title(&#039;Relationship between Number of Features and Accuracy&#039;)\n\n# \u7531\u4e8e\u663e\u793a\u4ece30~0\uff0c\u6240\u4ee5\u5bf9\u5750\u6807\u8f74\u8fdb\u884c\u7ffb\u8f6c\nplt.gca().invert_xaxis()\nplt.grid(True)\nplt.show()<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603124004082.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603124004082.png\" alt=\"\" \/><\/a><\/p>\n<p>\u901a\u8fc7\u4e0a\u56fe\u53ef\u4ee5\u770b\u5230\uff0c\u5373\u4fbf\u7279\u5f81\u964d\u7ef41\u4e2a\uff0c\u5176\u51c6\u786e\u7387\u4e5f\u6ca1\u6709\u53d1\u751f\u592a\u5927\u53d8\u5316\u3002\u8fd9\u4f53\u73b0\u4e86\u5728\u4e73\u817a\u764c\u8bca\u65ad\u65f6\u4e1a\u52a1\u89c6\u89d2\u548c\u6570\u636e\u89c6\u89d2\u4e0d\u4e00\u6837\u7684\u5730\u65b9\uff1a<\/p>\n<ul>\n<li>\n<p>\u4e13\u4e1a\u89c6\u89d2\uff1a\u8ba4\u4e3a30\u4e2a\u7279\u5f81\u90fd\u662f\u5f88\u6709\u5fc5\u8981\u7684\uff1b<\/p>\n<\/li>\n<li>\n<p>\u6570\u636e\u89c6\u89d2\uff1a\u8ba4\u4e3a30\u4e2a\u7279\u5f81\u662f\u5b58\u5728\u975e\u5e38\u591a\u7684\u5197\u4f59\uff0c\u8fd9\u4f1a\u9020\u6210\u4e0d\u5fc5\u8981\u7684\u8ba1\u7b97\u4ee3\u7801\u548c\u5b58\u50a8\u95ee\u9898\uff1b\u8fd930\u4e2a\u7279\u5f81\u662f\u53ef\u4ee5\u8fdb\u884c\u7279\u5f81\u964d\u7ef4\uff0c\u5373\u4fbf\u964d\u7ef41\u4e2a\u4e5f\u4e0d\u5f71\u54cd\u51c6\u786e\u7684\u3002<\/p>\n<blockquote>\n<p>\u5907\u6ce8\uff1a\u4f46\u662f\u5728\u89e3\u91ca\u4e3a\u4ec0\u4e4830\u4e2a\u7279\u5f81\u80fd\u591f\u964d\u7ef4\u4e3a1\u4e2a\u4e5f\u6ca1\u6709\u95ee\u9898\u65f6\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u4e0d\u592a\u597d\u89e3\u91ca\uff0c\u8fd9\u5c31\u6d89\u53ca\u5230SVD\u5206\u89e3\u3002<\/p>\n<\/blockquote>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%E5%A5%87%E5%BC%82%E5%80%BC%E5%88%86%E8%A7%A3%EF%BC%88SVD%EF%BC%89\"><\/span>\u5947\u5f02\u503c\u5206\u89e3\uff08SVD\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\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<ul>\n<li>\n<p>\u5947\u5f02\u503c\u5206\u89e3\u53ef\u4ee5\u5c06\u4e00\u4e2a\u6bd4\u8f83\u590d\u6742\u7684\u77e9\u9635\uff0c\u7528\u66f4\u5c0f\u66f4\u7b80\u5355\u7684\u51e0\u4e2a\u5b50\u77e9\u9635\u7684\u76f8\u4e58\u6765\u8868\u793a\uff0c\u8fd9\u4e9b\u5c0f\u77e9\u9635\u63cf\u8ff0\u7684\u662f\u77e9\u9635\u7684\u91cd\u8981\u7684\u7279\u6027\u3002<\/p>\n<blockquote>\n<p>\u5c31\u50cf\u662f\u63cf\u8ff0\u4e00\u4e2a\u4eba\u4e00\u6837\uff0c\u7ed9\u522b\u4eba\u63cf\u8ff0\u8bf4\u8fd9\u4e2a\u4eba\u957f\u5f97\u6d53\u7709\u5927\u773c\uff0c\u65b9\u8138\uff0c\u7edc\u816e\u80e1\uff0c\u800c\u4e14\u5e26\u4e2a\u9ed1\u6846\u7684\u773c\u955c\uff0c\u8fd9\u6837\u5be5\u5be5\u7684\u51e0\u4e2a\u7279\u5f81\uff0c\u5c31\u8ba9\u522b\u4eba\u8111\u6d77\u91cc\u9762\u5c31\u6709\u4e00\u4e2a\u8f83\u4e3a\u6e05\u695a\u7684\u8ba4\u8bc6\u3002<\/p>\n<\/blockquote>\n<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603132856908.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603132856908.png\" alt=\"\" \/><\/a><\/p>\n<p>\u7531\u4e8eSVD\u6d89\u53ca\u5230\u7ebf\u6027\u4ee3\u6570\u4e2d\u57fa\u7840\u77e5\u8bc6\uff0c\u6240\u4ee5\u5176\u6570\u5b66\u63a8\u5bfc\u539f\u7406\u8f83\u96be\u7406\u89e3(\u60f3\u4e86\u89e3\u8be6\u60c5\u53ef\u4ee5\u67e5\u770bb\u7ad9\u89c6\u9891\uff1a<a href=\"https:\/\/www.bilibili.com\/video\/BV15k4y1p72z?vd_source=f825e70d1502bfc21582d29e60d89bb5\">\u3010\u4ee3\u6570\u660e\u73e0&#8211;\u5947\u5f02\u503c\u5206\u89e3\uff08SVD\uff09\u751f\u52a8\u52a8\u753b\u6f14\u793a\uff01\u3011<\/a>)\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E5%A5%87%E5%BC%82%E5%80%BC%E5%88%86%E8%A7%A3%E7%9B%B4%E8%A7%82%E5%BA%94%E7%94%A8%E5%A5%B3%E7%A5%9E%E5%8E%8B%E7%BC%A9\"><\/span>\u5947\u5f02\u503c\u5206\u89e3\u76f4\u89c2\u5e94\u7528(\u5973\u795e\u538b\u7f29)<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u4e3a\u4e86\u5bf9\u5947\u5f02\u503c\u5206\u89e3\u6709\u4e00\u4e2a\u76f4\u89c2\u8ba4\u8bc6\uff0c\u63a5\u4e0b\u6765\u5c06\u901a\u8fc7\u5bf9\u7f8e\u5973\u56fe\u7247\u4f7f\u7528SVD\u5206\u89e3\u8fdb\u884c\u56fe\u7247\u538b\u7f29\uff0c\u5177\u4f53\u64cd\u4f5c\u6b65\u9aa4\uff1a<\/p>\n<p>\u7b2c\u4e00\u6b65\uff1a\u627e\u4e00\u5f20\u7f8e\u5973\u7684\u56fe\u7247\uff0c\u4fdd\u5b58\u5230\u4ee3\u7801\u76f8\u540c\u76ee\u5f55\u3002<\/p>\n<blockquote>\n<p>\u4f8b\u5982\uff1a\u6211\u4eec\u4ece\u641c\u7d22\u5f15\u64ce\u641c\u7d22\u7f8e\u5973\uff0c\u4fdd\u5b58\u5bf9\u5e94\u7684\u56fe\u7247\u5230\u672c\u5730\u5e76\u547d\u540d\u4e3abeautiful.jpg<\/p>\n<\/blockquote>\n<p>\u7b2c\u4e8c\u6b65\uff1a\u5728Jupyter notebook\u4e2d\u8bfb\u53d6\u56fe\u7247\u5e76\u6253\u5370\u56fe\u7247\u76f8\u5173\u4fe1\u606f<\/p>\n<pre><code class=\"language-python\">import numpy as np \nfrom matplotlib import pyplot as plt\n\n# \u8bfb\u53d6\nbeauty = plt.imread(fname=&quot;beautiful.jpg&quot;)\n\n# \u8f93\u51fa\u56fe\u7247\u4fe1\u606f(\u9ad8\u5ea6\u3001\u5bbd\u5ea6\u3001\u901a\u9053)\nbeauty.shape<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603133236022.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603133236022.png\" alt=\"\" \/><\/a><\/p>\n<p>\u8fd9\u662f\u4e00\u5f20\u9ad8\u5ea6621*\u5bbd\u5ea6917\u7684\u56fe\u7247\uff0c\u67093\u4e2a<a href=\"https:\/\/blog.csdn.net\/zhudinglym\/article\/details\/135856796\">\u901a\u9053<\/a><\/p>\n<p>\u7b2c\u4e09\u6b65\uff1a\u663e\u793aR\u901a\u9053\u7684\u5185\u5bb9<\/p>\n<pre><code class=\"language-python\"># \u62bd\u53d6\u56fe\u7247\u7684R\u901a\u9053\u5e76\u73b0\u5b9e\nr = beauty[:, :, 0]\nplt.imshow(X=r, cmap=&quot;gray&quot; )<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603133745776.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603133745776.png\" alt=\"\" \/><\/a><\/p>\n<p>\u7b2c\u56db\u6b65\uff1a\u5bf9\u56fe\u7247(\u56fe\u7247\u4fe1\u606f\u672c\u8d28\u662f\u4e00\u4e2a\u77e9\u9635)\u8fdb\u884cSVD\u5206\u89e3<\/p>\n<pre><code class=\"language-python\"># SVD\u5206\u89e3\uff1a\u5c06\u4e00\u4e2a\u590d\u6742\u7684\u77e9\u9635()\nU, S, V = np.linalg.svd(a=r, full_matrices=False)\n\nprint(&#039;\u539f\u59cb\u56fe\u7247\uff0c\u5373r\u77e9\u9635\uff1a&#039;, r)\n\nprint(&#039;\u5de6\u5947\u5f02\u77e9\u9635\uff1a&#039;, U)\nprint(&#039;\u53f3\u5947\u5f02\u77e9\u9635\uff1a&#039;, V)\nprint(&#039;\u5947\u5f02\u503c\uff1a&#039;, S)\nprint(&#039;\u5947\u5f02\u503c\u8f6c\u53d8\u4e3a\u5bf9\u89d2\u7ebf\u77e9\u9635\uff1a&#039;, np.diag(S))\n\n# \u56e0\u4e3ar = U @ np.diag(S) @ V\nprint(&#039;U\u3001np.diag(S)\u3001V\u77e9\u9635\u76f8\u4e58:&#039;, U @ np.diag(S) @ V)<\/code><\/pre>\n<ul>\n<li>\u901a\u8fc7\u5bf9\u6bd4\u539f\u59cb\u77e9\u9635r\u548cU @ np.diag(S) @ V\u7684\u7ed3\u679c\uff0c\u4e24\u8005\u662f\u4e00\u81f4\u7684\u3002<\/li>\n<li>\u542b\u4e49\uff1a\u5c06\u4e00\u4e2a\u590d\u6742\u7684\u77e9\u9635(\u539f\u59cb\u56fe\u7247r)\uff0c\u5206\u89e3\u4e3a\u4e09\u4e2a\u7b80\u5355\u7684\u77e9\u9635\u76f8\u4e58\u3002\n<ul>\n<li>U\uff1a\u5de6\u5947\u5f02\u77e9\u9635<\/li>\n<li>V\uff1a\u53f3\u5947\u5f02\u77e9\u9635<\/li>\n<li>S\uff1a\u5947\u5f02\u503c\uff0c\u4e00\u4e32\u5927\u4e8e0\u7684\u6b63\u6570<\/li>\n<li>np.diag(S)\uff1a\u5c06\u5947\u5f02\u503c\u8f6c\u53d8\u4e3a\u4e00\u4e2a\u5bf9\u89d2\u7ebf\u77e9\u9635<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e94\u6b65\uff1a\u67e5\u770b\u5947\u5f02\u503c<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603135002412.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603135002412.png\" alt=\"\" \/><\/a><\/p>\n<blockquote>\n<p>\u8be5\u56fe\u7247\u4ee3\u8868\u4ece\u5de6\u5f80\u53f3\uff0c\u5947\u5f02\u503c\u7684\u91cd\u8981\u6027\uff0c\u53ea\u6709\u524d\u9762\u51e0\u4e2a\u5947\u5f02\u503c\u662f\u6709\u7528\u7684\uff0c\u540e\u9762\u7684\u5947\u5f02\u503c\u6ca1\u4ec0\u4e48\u7528\u3002<\/p>\n<\/blockquote>\n<p>\u7b2c\u516d\u6b65\uff1a\u5973\u795e\u56fe\u7247\u538b\u7f29<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603140221825.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603140221825.png\" alt=\"\" \/><\/a><\/p>\n<p>\u6211\u4eec\u5206\u522b\u53d6U\u7684\u524dK\u4e2a\u5217\u6570\u636e\uff0cS\u7684\u524dK\u4e2a\u503c\uff0cV\u7684\u524dK\u4e2a\u884c\u3002(\u4fdd\u6301\u4e00\u81f4\u624d\u80fd\u77e9\u9635\u76f8\u4e58)<\/p>\n<pre><code class=\"language-python\"># \u8bbe\u7f6e\u8981\u53d6\u7684\u5947\u5f02\u503c\u4e2a\u6570\nK = 100\n\n# \u5206\u522b\u4eceU\u4e2d\u53d6\u524dK\u5217\uff0cV\u4e2d\u53d6\u524dK\u884c\uff0cS\u4e2d\u524dK\u503c\uff0c\u77e9\u9635\u76f8\u4e58\u4fdd\u5b58\u5230result\nresult = U[:,:K] @ np.diag(S[:K]) @ V[:K,:]\n\n# \u7ed8\u5236\u4e58\u79ef\u540e\u77e9\u9635\nplt.imshow(X=result, cmap=&quot;gray&quot; )<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603140559922.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603140559922.png\" alt=\"\" \/><\/a><\/p>\n<p>\u53ef\u4ee5\u770b\u5230\u5973\u795e\u7684\u56fe\u7247\u4fe1\u606f\u5e76\u6ca1\u6709\u592a\u591a\u7684\u635f\u5931\u3002<\/p>\n<p>\u8fdb\u4e00\u6b65\uff1a\u4e3a\u4e86\u770b\u5230\u5947\u5f02\u503c\u7b5b\u9009\u4e2a\u6570\u5bf9\u56fe\u7247\u7684\u5f71\u54cd\uff0c\u6211\u4eec\u5206\u522b\u9009\u53d6\u524d100\u4e2a\u5947\u5f02\u503c\u3001\u524d50\u4e2a\u3001\u524d10\u4e2a\u3001\u524d5\u4e2a\u5947\u5f02\u503c\u5e76\u7ed8\u5236\u56fe\u7247\uff0c\u5bf9\u6bd4\u5176\u663e\u793a\u7ed3\u679c\uff0c\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<pre><code class=\"language-python\">import numpy as np\nfrom matplotlib import pyplot as plt\n\n# \u8bfb\u53d6\u56fe\u7247\nbeauty = plt.imread(fname=&quot;beautiful.jpg&quot;)\n\n# \u63d0\u53d6R\u901a\u9053\nr = beauty[:, :, 0]\n\n# \u8fdb\u884cSVD\u5206\u89e3\nU, S, V = np.linalg.svd(a=r, full_matrices=False)\n\n# \u8bbe\u7f6e\u9009\u53d6100, 50, 10 , 5 \u56db\u4e2a\u5947\u5f02\u503c\u6570\u636e\nsingular_values = [100, 50, 10, 5]\n\n# \u7ed8\u5236\u4e94\u4e2a\u5b50\u56fe\u4ee5\u4fbf\u653e\u5728\u4e00\u4e2a\u753b\u5e03\u4e0a\u663e\u793a\nfig, axs = plt.subplots(1, len(singular_values)+1, figsize=(20, 5))\n\n# \u7ed8\u5236\u539f\u59cb\u56fe\u7247\naxs[0].imshow(X=r, cmap=&quot;gray&quot;)\naxs[0].set_title(&#039;Original Image&#039;)\n\n# \u4f9d\u6b21\u7ed8\u5236100, 50, 10, 5\u5947\u5f02\u503c\u4e0b\u7684\u56fe\u7247\nfor i, k in enumerate(singular_values):\n    result = U[:, :k] @ np.diag(S[:k]) @ V[:k, :]\n    axs[i+1].imshow(X=result, cmap=&quot;gray&quot;)\n    axs[i+1].set_title(f&#039;Singular Values: {k}&#039;)\n\n# \u663e\u793a\u753b\u5e03\nplt.show()\n<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603141157307.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603141157307.png\" alt=\"\" \/><\/a><\/p>\n<p>\u53ef\u4ee5\u770b\u5230\u5f53\u5947\u5f02\u503c\u53d6\u524d10\u4e2a\u7684\u65f6\u5019\uff0c\u56fe\u7247\u5df2\u7ecf\u6a21\u7cca\uff1b\u53d6\u524d5\u4e2a\u65f6\uff0c\u57fa\u672c\u53ea\u80fd\u770b\u51fa\u4e00\u4e2a\u8f6e\u5ed3\u4e86\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%81%9A%E7%B1%BB%E7%AE%97%E6%B3%95\"><\/span>\u805a\u7c7b\u7b97\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"KMeans%E7%AE%97%E6%B3%95\"><\/span>KMeans\u7b97\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"%E9%97%AE%E9%A2%98%E5%9C%BA%E6%99%AF\"><\/span>\u95ee\u9898\u573a\u666f<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u5047\u8bbe\u6709\u8fd9\u6837\u4e00\u4e2a\u7535\u5546\u5927\u6570\u636e\u63a8\u8350\u573a\u666f\uff0c\u67d0App\u5728618\u8981\u8fdb\u884c\u4fc3\u9500\u6d3b\u52a8\uff0c\u8be5\u5e94\u7528\u7684\u7528\u6237\u7fa4\u4f53\u67091000\u4e07\u3002\u8fd91000\u4e07\u7528\u6237\u5927\u81f4\u53ef\u4ee5\u5206\u4e3a\u4e09\u7c7b\uff1a<\/p>\n<ul>\n<li>\u5206\u7c7b\u4e00\uff1a\u6b7b\u5fe0\u7c89\u4e1d\u7fa4\u4f53\u3002\u8fd9\u7c7b\u7fa4\u4f53\u5728\u4fc3\u9500\u6d3b\u52a8\u4e2d\u4e0d\u505a\u4efb\u4f55\u964d\u4ef7(\u56e0\u4e3a\u4ed6\u4eec\u662f\u6b7b\u5fe0\u7c89\u4e1d\uff0c\u591a\u5c11\u94b1\u90fd\u613f\u610f\u4e70)<\/li>\n<li>\u5206\u7c7b\u4e8c\uff1a\u6447\u6446\u6d3e\u7fa4\u4f53\u3002\u5173\u6ce8\u5546\u54c1\u7684\u6027\u4ef7\u6bd4\uff0c\u8c01\u5bb6\u7684\u4e1c\u897f\u4fbf\u5b9c\u4e70\u8c01\u7684\u3002\u8fd9\u7c7b\u7fa4\u4f53\u7ed9\u4e88\u4e00\u5b9a\u7684\u4f18\u60e0\uff0c\u628a\u4ed6\u4eec\u5438\u5f15\u8fc7\u6765\u3002<\/li>\n<li>\u5206\u7c7b\u4e09\uff1a\u6f5c\u5728\u7fa4\u4f53\u3002\u8fd9\u7c7b\u7528\u6237\u4f7f\u7528\u7684\u662f\u7ade\u54c1\u4ea7\u54c1\uff0c\u662f\u6f5c\u5728\u53ef\u4ee5\u62c9\u62e2\u8fc7\u6765\u7684\u7528\u6237\uff0c\u9700\u8981\u7ed9\u4e88\u66f4\u5927\u529b\u5ea6\u7684\u4f18\u60e0\u3002<\/li>\n<\/ul>\n<p>\u95ee\u9898\uff1a\u5982\u4f55\u5c06\u8fd9\u4e09\u7c7b\u7528\u6237\u5206\u7c7b\u51fa\u6765\uff1f<\/p>\n<h4><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><\/h4>\n<p>\u4ee5\u4e0a\u662f\u4e00\u4e2a\u5178\u578b\u7684\u805a\u7c7b\u7b97\u6cd5\u8981\u89e3\u51b3\u7684\u95ee\u9898\uff0c\u63a5\u4e0b\u6765\u901a\u8fc7\u4ee3\u7801\u6765\u5b9e\u73b0\u3002<\/p>\n<pre><code class=\"language-python\">from sklearn.datasets import make_blobs\nfrom matplotlib import pyplot as plt\n\n# \u751f\u62102000\u4e2a\u5047\u6570\u636e\n# n_features=2\uff0c\u4ee3\u8868\u6bcf\u4e2a\u6570\u636e\u67092\u4e2a\u7279\u5f81\n# centers=5\uff0c\u6570\u636e\u67095\u4e2a\u4e2d\u5fc3\n# cluster_std=0.5\uff0c\u8bbe\u7f6e\u5047\u6570\u636e\u7684\u6807\u51c6\u5dee\uff0c\u4f7f\u5f97\u6570\u636e\u66f4\u52a0\u96c6\u4e2d\nX, y = make_blobs(n_samples=2000, \n                  n_features=2,\n                  centers=5,\n                  random_state=0,\n                  cluster_std=0.5)\n\n# \u5c06\u6570\u636e\u7ed8\u5236\u5230\u6563\u70b9\u56fe\u91cc\nplt.scatter(X[:,0], X[:,1], c=y)\n\n# \u5f15\u5165KMeans\u6a21\u578b\nfrom sklearn.cluster import KMeans\n\n# 1, \u6784\u5efa\u6a21\u578b\nkm = KMeans(n_clusters=5, n_init=&quot;auto&quot;)\n\n# 2, \u8bad\u7ec3\u6a21\u578b\nkm.fit(X=X)\n\n# 3, \u6253\u5370\u627e\u5230\u7684\u5206\u7c7b\u4e2d\u5fc3\nkm.cluster_centers_<\/code><\/pre>\n<p>\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603143042592.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603143042592.png\" alt=\"\" \/><\/a><\/p>\n<pre><code class=\"language-py\"># \u7ed8\u5236\u539f\u59cb\u6570\u636e\u6563\u70b9\u56fe\nplt.scatter(X[:,0], X[:,1], c=y)\n\n# \u7ed8\u5236\u5206\u7c7b\u4e2d\u5fc3\u4f7f\u7528\u7ea2\u8272\u4e94\u89d2\u661f\u663e\u793a\nplt.scatter(km.cluster_centers_[:,0], km.cluster_centers_[:,1], marker=&quot;*&quot;, c=&#039;red&#039;)<\/code><\/pre>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/kmeans_animation.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/kmeans_animation.gif\" alt=\"\" \/><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603143116485.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603143116485.png\" alt=\"\" \/><\/a><\/p>\n<p>\u901a\u8fc7\u4ee5\u4e0a\u56fe\u793a\u53ef\u4ee5\u770b\u5230\uff0c\u901a\u8fc7Kmeans\u7b97\u6cd5\u627e\u5230\u4e865\u4e2a\u5206\u7c7b\u4e2d\u5fc3\u3002<\/p>\n<blockquote>\n<p>\u8fd9\u91cc\u7531\u4e8e\u5047\u6570\u636e\u662f\u6211\u4eec\u6307\u5b9a\u751f\u6210\u4e865\u4e2a\u5206\u7c7b\u4e2d\u5fc3\u6570\u636e(\u5c5e\u4e8e\u62e5\u6709\u4e0a\u5e1d\u89c6\u89d2)\uff0c\u6240\u4ee5\u89c9\u5f97\u5f88\u5bb9\u6613\u53ef\u4ee5\u627e\u52305\u4e2a\u5206\u7c7b\u4e2d\u5fc3\u3002\u5b9e\u9645\u5de5\u7a0b\u5e94\u7528\u4e2d\u6ca1\u6709\u4e0a\u5e1d\u89c6\u89d2\uff0c\u90a3\u4e48\u627e\u52305\u4e2a\u5206\u7c7b\u4e2d\u5fc3\u8fd8\u662f\u4e0d\u5bb9\u6613\u7684\uff0c\u9700\u8981\u4f7f\u7528\u8fed\u4ee3\u6cd5\u3002<\/p>\n<\/blockquote>\n<h4><span class=\"ez-toc-section\" id=\"%E8%BF%AD%E4%BB%A3%E6%B3%95\"><\/span>\u8fed\u4ee3\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u5b9a\u4e49<\/strong>\uff1a\u8fed\u4ee3\u6cd5\u662f\u4e00\u79cd\u901a\u8fc7\u53cd\u590d\u8fed\u4ee3\u903c\u8fd1\u95ee\u9898\u89e3\u7684\u65b9\u6cd5\uff0c\u901a\u8fc7\u591a\u6b21\u91cd\u590d\u6267\u884c\u76f8\u540c\u7684\u8ba1\u7b97\u6b65\u9aa4\uff0c\u9010\u6b65\u903c\u8fd1\u95ee\u9898\u7684\u89e3\u3002<\/p>\n<p><strong>\u6838\u5fc3\u601d\u60f3<\/strong>\uff1a&quot;\u5148\u7c97\u7cd9\u7684\u5f00\u59cb\uff0c\u7136\u540e\u6162\u6162\u5730\u53d8\u597d&quot;<\/p>\n<p><strong>\u6b65\u9aa4<\/strong>\uff1a<\/p>\n<ul>\n<li>\u4ece\u4e00\u4e2a\u968f\u673a\u72b6\u6001\u5f00\u59cb<\/li>\n<li>\u91c7\u7528\u4e00\u5b9a\u7684\u7b56\u7565\uff0c\u9010\u6b65\u53d8\u597d<\/li>\n<li>\u4ece\u91cf\u53d8\u8fbe\u5230\u8d28\u53d8\u7684\u8fc7\u7a0b<\/li>\n<li>\u6700\u540e\u5b9e\u73b0\u76ee\u7684<\/li>\n<\/ul>\n<blockquote>\n<p>\u4e3e\u4e2a\u751f\u6d3b\u4e2d\u7684\u4f8b\u5b50\u7406\u89e3\u4e0a\u8ff0\u6b65\u9aa4\uff1a<\/p>\n<ul>\n<li>\u968f\u673a\u62bd\u53d6\u4e24\u4e2a\u73ed\u957f\uff0c\u4e00\u4e2a\u6b63\u73ed\u957f\uff0c\u4e00\u4e2a\u526f\u73ed\u957f<\/li>\n<li>\u4e00\u4e2a\u6708\u540e\u518d\u6b21\u91cd\u65b0\u9009\uff0c\u6295\u7968\u5236<\/li>\n<li>\u4e24\u4e2a\u6708\u540e\u518d\u6b21\u9009\u73ed\u957f<\/li>\n<li>\u6bcf\u534a\u5e74\u9009\u4e00\u6b21\u73ed\u957f<\/li>\n<li>\u2026.<\/li>\n<li>\u65b0\u9009\u7684\u73ed\u957f\u4e0e\u4e0a\u6b21\u7684\u73ed\u957f\u4e00\u6837\uff0c\u7ed3\u675f<\/li>\n<\/ul>\n<p>\u2026..\u5982\u6b64\u8fed\u4ee3\uff0c\u9009\u62e9\u7684\u73ed\u957f\u4e00\u5b9a\u662f\u5408\u7406\u3002<\/p>\n<\/blockquote>\n<p>\u542f\u53d1\uff1a&quot;\u4e8b\u4e0a\u7ec3&quot;\u7684\u9053\u7406\u4e0e\u8fed\u4ee3\u6cd5\u4e0d\u8c0b\u800c\u5408\u3002\u6211\u4eec\u4e0d\u8bba\u505a\u4ec0\u4e48\u4e8b\u60c5\uff0c\u8981\u5148\u884c\u52a8\u8d77\u6765\uff0c\u5728\u5b9e\u8df5\u7684\u8fc7\u7a0b\u4e2d\u4e0d\u65ad\u4f18\u5316\u548c\u6539\u8fdb\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E4%BA%BA%E5%B7%A5%E6%99%BA%E8%83%BD%E8%A1%A5%E5%85%85%E7%9F%A5%E8%AF%86\"><\/span>\u4eba\u5de5\u667a\u80fd\u8865\u5145\u77e5\u8bc6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E4%B8%AD%E7%9A%84%E4%BB%BB%E5%8A%A1%E5%88%86%E7%B1%BB\"><\/span>\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u4efb\u52a1\u5206\u7c7b<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<table>\n<thead>\n<tr>\n<th style=\"text-align: left;\">\u4efb\u52a1\u5206\u7c7b<\/th>\n<th style=\"text-align: left;\">\u6570\u636e\u7279\u70b9<\/th>\n<th style=\"text-align: left;\">\u9884\u6d4b\u95ee\u9898\u7c7b\u578b<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: left;\">\u6709\u76d1\u7763\u5b66\u4e60 (Supervised)<\/td>\n<td style=\"text-align: left;\">\u6709\u7279\u5f81\u548c\u6807\u7b7e\uff0c\u7528\u4e8e\u5206\u7c7b\u548c\u56de\u5f52\u95ee\u9898<\/td>\n<td style=\"text-align: left;\">\u5206\u7c7b\u95ee\u9898(Classification)\uff1a\u9884\u6d4b\u79bb\u6563\u91cf<br \/>\u56de\u5f52\u95ee\u9898(Regression)\uff1a\u9884\u6d4b\u8fde\u7eed\u91cf<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">\u65e0\u76d1\u7763\u5b66\u4e60 (Unsupervised)<\/td>\n<td style=\"text-align: left;\">\u6709\u7279\u5f81\u4f46\u6ca1\u6709\u6807\u7b7e\uff0c\u7528\u4e8e\u805a\u7c7b\u548c\u964d\u7ef4\u7b97\u6cd5<\/td>\n<td style=\"text-align: left;\">\u805a\u7c7b\u95ee\u9898\uff1aKMeans<br \/>\u964d\u7ef4\u95ee\u9898\uff1aPCA<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">\u81ea\u76d1\u7763\u5b66\u4e60 (Self-Supervised)<\/td>\n<td style=\"text-align: left;\">\u5927\u6a21\u578b\u9884\u8bad\u7ec3\u65f6\u4f7f\u7528\u81ea\u76d1\u7763\uff0c\u8f93\u5165\u6587\u672c\u81ea\u6211\u6316\u7a7a\u586b\u7a7a<\/td>\n<td style=\"text-align: left;\">&#8211;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4><span class=\"ez-toc-section\" id=\"%E4%BA%BA%E5%B7%A5%E6%99%BA%E8%83%BD%E6%8A%80%E6%9C%AF%E4%B8%89%E6%AC%A1%E9%AB%98%E6%BD%AE\"><\/span>\u4eba\u5de5\u667a\u80fd\u6280\u672f\u4e09\u6b21\u9ad8\u6f6e<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>\u7b2c\u4e00\u4ee3\u6280\u672f\uff1a\u673a\u5668\u5b66\u4e60<\/li>\n<li>\u7b2c\u4e8c\u4ee3\u6280\u672f\uff1a\u6df1\u5ea6\u5b66\u4e60<\/li>\n<li>\u7b2c\u4e09\u4ee3\u6280\u672f\uff1a\u5927\u6a21\u578b\u6280\u672f<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E9%9B%86%E6%88%90%E5%AD%A6%E4%B9%A0\"><\/span>\u96c6\u6210\u5b66\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E9%9B%86%E6%88%90%E5%AD%A6%E4%B9%A0%E5%AE%9A%E4%B9%89\"><\/span>\u96c6\u6210\u5b66\u4e60\u5b9a\u4e49<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u96c6\u6210\u5b66\u4e60\uff08Ensemble Learning\uff09\u662f\u4e00\u79cd\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\uff0c\u901a\u8fc7\u7ed3\u5408\u591a\u4e2a\u57fa\u7840\u6a21\u578b\u7684\u9884\u6d4b\u7ed3\u679c\u6765\u63d0\u9ad8\u6574\u4f53\u6a21\u578b\u7684\u51c6\u786e\u6027\u548c\u7a33\u5b9a\u6027\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%9B%86%E6%88%90%E5%AD%A6%E4%B9%A0%E6%A0%B8%E5%BF%83%E6%80%9D%E6%83%B3\"><\/span>\u96c6\u6210\u5b66\u4e60\u6838\u5fc3\u601d\u60f3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u96c6\u6210\u5b66\u4e60\u7684\u6838\u5fc3\u601d\u60f3\u662f\u201c\u4e09\u4e2a\u81ed\u76ae\u5320\u9876\u4e2a\u8bf8\u845b\u4eae\u201d\uff0c\u5373\u901a\u8fc7\u7ec4\u5408\u591a\u4e2a\u5f31\u5206\u7c7b\u5668\u6216\u56de\u5f52\u5668\uff0c\u6700\u7ec8\u5f97\u5230\u4e00\u4e2a\u5f3a\u5206\u7c7b\u5668\u6216\u56de\u5f52\u5668\uff0c\u4ee5\u63d0\u9ad8\u9884\u6d4b\u6027\u80fd\u3002<\/li>\n<li>\u96c6\u6210\u5b66\u4e60\u4e5f\u662f\u4e00\u79cd\u5934\u8111\u98ce\u66b4\u7684\u601d\u60f3\uff0c\u5373\u8ba9\u4e0d\u540c\u610f\u89c1\u7684\u4eba\u63d0\u51fa\u4e0d\u540c\u7684\u610f\u89c1\uff0c\u6700\u540e\u9009\u4e00\u4e2a\u66f4\u597d\u7684\u3002<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603150511360.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/06\/image-20240603150511360.png\" alt=\"\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%9B%86%E6%88%90%E5%AD%A6%E4%B9%A0%E7%9A%84%E6%96%B9%E6%B3%95\"><\/span>\u96c6\u6210\u5b66\u4e60\u7684\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u96c6\u6210\u5b66\u4e60\u6709\u591a\u79cd\u65b9\u6cd5\uff1a<\/p>\n<ul>\n<li>Voting\uff1a\u901a\u8fc7\u7ed3\u5408\u591a\u4e2a\u57fa\u7840\u6a21\u578b\u7684\u9884\u6d4b\u7ed3\u679c\u6765\u63d0\u9ad8\u6574\u4f53\u6a21\u578b\u7684\u51c6\u786e\u6027\u548c\u7a33\u5b9a\u6027\u3002\n<ul>\n<li>\u786c\u6295\u7968\uff08Hard Voting\uff09\uff1a\u5728\u786c\u6295\u7968\u4e2d\uff0c\u6bcf\u4e2a\u57fa\u7840\u6a21\u578b\u6295\u7968\u9009\u62e9\u51fa\u73b0\u6b21\u6570\u6700\u591a\u7684\u7c7b\u522b\u4f5c\u4e3a\u6700\u7ec8\u7684\u9884\u6d4b\u7ed3\u679c\u3002\u5bf9\u4e8e\u5206\u7c7b\u95ee\u9898\uff0c\u786c\u6295\u7968\u662f\u5e38\u7528\u7684\u65b9\u6cd5\u3002<\/li>\n<li>\u8f6f\u6295\u7968\uff08Soft Voting\uff09\uff1a\u5728\u8f6f\u6295\u7968\u4e2d\uff0c\u6bcf\u4e2a\u57fa\u7840\u6a21\u578b\u7684\u9884\u6d4b\u7ed3\u679c\u88ab\u52a0\u6743\u5e73\u5747\uff0c\u5f97\u5230\u6982\u7387\u6700\u9ad8\u7684\u7c7b\u522b\u4f5c\u4e3a\u6700\u7ec8\u7684\u9884\u6d4b\u7ed3\u679c\u3002\u5bf9\u4e8e\u5206\u7c7b\u95ee\u9898\u548c\u6982\u7387\u4f30\u8ba1\u95ee\u9898\uff0c\u8f6f\u6295\u7968\u901a\u5e38\u6bd4\u786c\u6295\u7968\u66f4\u6709\u6548\u3002<\/li>\n<\/ul>\n<\/li>\n<li>Bagging\uff1a\u901a\u8fc7\u5e76\u884c\u8bad\u7ec3\u591a\u4e2a\u57fa\u7840\u6a21\u578b\uff0c\u6bcf\u4e2a\u6a21\u578b\u4f7f\u7528\u4e0d\u540c\u7684\u5b50\u6837\u672c\u8fdb\u884c\u8bad\u7ec3\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u7684\u9884\u6d4b\u7ed3\u679c\u8fdb\u884c\u5e73\u5747\u6216\u6295\u7968\u6765\u5f97\u5230\u6700\u7ec8\u9884\u6d4b\u7ed3\u679c\u3002\u5e38\u89c1\u7684Bagging\u7b97\u6cd5\u5305\u62ec\u968f\u673a\u68ee\u6797\uff08Random Forest\uff09\u3002<\/li>\n<li>Boosting\uff1a\u901a\u8fc7\u4e32\u884c\u8bad\u7ec3\u591a\u4e2a\u57fa\u7840\u6a21\u578b\uff0c\u6bcf\u4e2a\u6a21\u578b\u90fd\u5c1d\u8bd5\u4fee\u6b63\u524d\u4e00\u4e2a\u6a21\u578b\u7684\u9519\u8bef\uff0c\u6700\u7ec8\u7ec4\u5408\u591a\u4e2a\u6a21\u578b\u4ee5\u5f97\u5230\u66f4\u51c6\u786e\u7684\u9884\u6d4b\u7ed3\u679c\u3002\u5e38\u89c1\u7684Boosting\u7b97\u6cd5\u5305\u62ecAdaboost\u3001Gradient Boosting\u548cXGBoost\u3002<\/li>\n<\/ul>\n<p>\u96c6\u6210\u5b66\u4e60\u7684\u5b9e\u8df5<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Voting%E6%96%B9%E6%B3%95\"><\/span>Voting\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<pre><code class=\"language-python\">from sklearn.ensemble import VotingClassifier\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.tree import DecisionTreeClassifier\nfrom sklearn.svm import SVC\nfrom sklearn.datasets import load_iris\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.metrics import accuracy_score\n\n# \u52a0\u8f7d\u9e22\u5c3e\u82b1\u6570\u636e\u96c6\niris = load_iris()\nX, y = iris.data, iris.target\n\n# \u5212\u5206\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n\n# \u521d\u59cb\u5316\u4e09\u4e2a\u57fa\u7840\u5206\u7c7b\u5668\uff1a\u903b\u8f91\u56de\u5f52\u3001\u51b3\u7b56\u6811\u3001\u652f\u6301\u5411\u91cf\u673a\nclf1 = LogisticRegression()\nclf2 = DecisionTreeClassifier()\nclf3 = SVC(probability=True)\n\n# \u521b\u5efaVotingClassifier\uff0c\u4f7f\u7528\u786c\u6295\u7968\u7b56\u7565\nvoting_clf = VotingClassifier(estimators=[(&#039;lr&#039;, clf1), (&#039;dt&#039;, clf2), (&#039;svm&#039;, clf3)], voting=&#039;hard&#039;)\n\n# \u8bad\u7ec3VotingClassifier\u6a21\u578b\nvoting_clf.fit(X_train, y_train)\n\n# \u9884\u6d4b\u5e76\u8ba1\u7b97\u51c6\u786e\u7387\ny_pred = voting_clf.predict(X_test)\naccuracy = accuracy_score(y_test, y_pred)\nprint(&quot;VotingClassifier\u6a21\u578b\u7684\u51c6\u786e\u7387\uff1a&quot;, accuracy)<\/code><\/pre>\n<h4><span class=\"ez-toc-section\" id=\"Bagging%E6%96%B9%E6%B3%95\"><\/span>Bagging\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<pre><code class=\"language-python\">from sklearn.ensemble import BaggingClassifier\nfrom sklearn.tree import DecisionTreeClassifier\nfrom sklearn.datasets import load_iris\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.metrics import accuracy_score\n\n# \u52a0\u8f7d\u9e22\u5c3e\u82b1\u6570\u636e\u96c6\niris = load_iris()\nX, y = iris.data, iris.target\n\n# \u5212\u5206\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n\n# \u521d\u59cb\u5316\u57fa\u7840\u5206\u7c7b\u5668\u4e3a\u51b3\u7b56\u6811\nbase_classifier = DecisionTreeClassifier()\n\n# \u521b\u5efaBaggingClassifier\nbagging_clf = BaggingClassifier(base_estimator=base_classifier, n_estimators=10, random_state=42)\n\n# \u8bad\u7ec3BaggingClassifier\u6a21\u578b\nbagging_clf.fit(X_train, y_train)\n\n# \u9884\u6d4b\u5e76\u8ba1\u7b97\u51c6\u786e\u7387\ny_pred = bagging_clf.predict(X_test)\naccuracy = accuracy_score(y_test, y_pred)\nprint(&quot;BaggingClassifier\u6a21\u578b\u7684\u51c6\u786e\u7387\uff1a&quot;, accuracy)<\/code><\/pre>\n<p>\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528Bagging\u65b9\u6cd5\u6784\u5efa\u4e86\u4e00\u4e2aBaggingClassifier\uff0c\u57fa\u7840\u5206\u7c7b\u5668\u4e3a\u51b3\u7b56\u6811\uff0c\u5e76\u8bad\u7ec3\u4e86\u4e00\u4e2a\u5305\u542b10\u4e2a\u57fa\u7840\u5206\u7c7b\u5668\u7684Bagging\u6a21\u578b\u3002\u6700\u540e\uff0c\u8f93\u51fa\u4e86BaggingClassifier\u6a21\u578b\u7684\u51c6\u786e\u7387\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Stacking%E6%96%B9%E6%B3%95\"><\/span>Stacking\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<pre><code class=\"language-python\">from sklearn.ensemble import RandomForestClassifier\nfrom sklearn.ensemble import GradientBoostingClassifier\nfrom sklearn.ensemble import StackingClassifier\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.datasets import make_classification\n\n# \u521b\u5efa\u4e00\u4e2a\u793a\u4f8b\u6570\u636e\u96c6\nX, y = make_classification(n_samples=1000, n_features=20, n_informative=10, n_classes=2, random_state=42)\n\n# \u5212\u5206\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n\n# \u5b9a\u4e49\u57fa\u7840\u6a21\u578b\nbase_models = [\n    (&#039;rf&#039;, RandomForestClassifier(n_estimators=100, random_state=42)),\n    (&#039;gb&#039;, GradientBoostingClassifier(n_estimators=100, random_state=42))\n]\n\n# \u5b9a\u4e49\u6b21\u7ea7\u6a21\u578b\nmeta_model = LogisticRegression()\n\n# \u521b\u5efaStacking\u96c6\u6210\u6a21\u578b\nstacking_model = StackingClassifier(estimators=base_models, final_estimator=meta_model)\n\n# \u8bad\u7ec3Stacking\u6a21\u578b\nstacking_model.fit(X_train, y_train)\n\n# \u5728\u6d4b\u8bd5\u96c6\u4e0a\u8fdb\u884c\u9884\u6d4b\ny_pred = stacking_model.predict(X_test)\n\n# \u8f93\u51fa\u51c6\u786e\u7387\naccuracy = stacking_model.score(X_test, y_test)\nprint(f&quot;Stacking\u6a21\u578b\u7684\u51c6\u786e\u7387\uff1a{accuracy}&quot;)\n<\/code><\/pre>\n<p>\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e86\u968f\u673a\u68ee\u6797\uff08Random Forest\uff09\u548c\u68af\u5ea6\u63d0\u5347\u6811\uff08Gradient Boosting\uff09\u4f5c\u4e3a\u57fa\u7840\u6a21\u578b(\u7b2c\u4e00\u9636\u6bb5)\uff0c\u903b\u8f91\u56de\u5f52\u4f5c\u4e3a\u6b21\u7ea7\u6a21\u578b(\u7b2c\u4e8c\u9636\u6bb5)\uff0c\u6784\u5efa\u4e86\u4e00\u4e2aStacking\u96c6\u6210\u6a21\u578b\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%9B%86%E6%88%90%E5%AD%A6%E4%B9%A0%E7%9A%84%E5%AF%B9%E6%AF%94\"><\/span>\u96c6\u6210\u5b66\u4e60\u7684\u5bf9\u6bd4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th>\u96c6\u6210\u5b66\u4e60\u65b9\u6cd5<\/th>\n<th>\u51c6\u786e\u7387<\/th>\n<th>\u53ec\u56de\u7387<\/th>\n<th>\u63a8\u7406\u901f\u5ea6<\/th>\n<th>\u8bad\u7ec3\u901f\u5ea6<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u968f\u673a\u68ee\u6797<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<td>\u4e2d\u7b49<\/td>\n<td>\u4e2d\u7b49<\/td>\n<\/tr>\n<tr>\n<td>KNN<\/td>\n<td>\u4e2d<\/td>\n<td>\u9ad8<\/td>\n<td>\u5feb<\/td>\n<td>\u6162<\/td>\n<\/tr>\n<tr>\n<td>\u9ad8\u65af\u8d1d\u53f6\u65af<\/td>\n<td>\u4f4e<\/td>\n<td>\u4f4e<\/td>\n<td>\u5feb<\/td>\n<td>\u5feb<\/td>\n<\/tr>\n<tr>\n<td>\u51b3\u7b56\u6811<\/td>\n<td>\u4e2d<\/td>\n<td>\u4e2d<\/td>\n<td>\u5feb<\/td>\n<td>\u5feb<\/td>\n<\/tr>\n<tr>\n<td>\u652f\u6301\u5411\u91cf\u673a<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<td>\u6162<\/td>\n<td>\u6162<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"%E9%9A%8F%E6%9C%BA%E6%A3%AE%E6%9E%97\"><\/span>\u968f\u673a\u68ee\u6797<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u968f\u673a\u68ee\u6797\u662f\u4e00\u79cd\u96c6\u6210\u5b66\u4e60\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u6784\u5efa\u591a\u4e2a\u51b3\u7b56\u6811\u5e76\u7ed3\u5408\u5b83\u4eec\u7684\u9884\u6d4b\u7ed3\u679c\u6765\u63d0\u9ad8\u6574\u4f53\u9884\u6d4b\u51c6\u786e\u6027\u3002\u4ee5\u4e0b\u662f\u968f\u673a\u68ee\u6797\u7684\u4e3b\u8981\u8fc7\u7a0b\uff1a<\/p>\n<ul>\n<li>\n<p>\u968f\u673a\u62bd\u6837\uff1a<\/p>\n<ul>\n<li>\u4ece\u8bad\u7ec3\u96c6\u4e2d\u968f\u673a\u9009\u62e9\u4e00\u90e8\u5206\u6837\u672c(\u6837\u672c\u7ea7\u968f\u673a\uff0c\u4e5f\u53eb\u884c\u7ea7\u968f\u673a)\uff0c\u7528\u4e8e\u6784\u5efa\u6bcf\u68f5\u51b3\u7b56\u6811\u7684\u8bad\u7ec3\u96c6\u3002\u8fd9\u79cd\u968f\u673a\u62bd\u6837\u4fdd\u8bc1\u4e86\u6bcf\u68f5\u51b3\u7b56\u6811\u7684\u8bad\u7ec3\u96c6\u662f\u4e0d\u540c\u7684\u3002<br \/>\n\u7279\u5f81<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u968f\u673a\u9009\u62e9\uff1a<\/p>\n<ul>\n<li>\u5728\u6bcf\u6b21\u8282\u70b9\u5212\u5206\u65f6\uff0c\u968f\u673a\u9009\u62e9\u4e00\u90e8\u5206\u7279\u5f81\u4f5c\u4e3a\u5019\u9009\u7279\u5f81(\u7279\u5f81\u7ea7\u968f\u673a\uff0c\u4e5f\u53eb\u5217\u7ea7\u968f\u673a)\u3002\u8fd9\u6837\u53ef\u4ee5\u589e\u52a0\u51b3\u7b56\u6811\u7684\u591a\u6837\u6027\uff0c\u907f\u514d\u8fc7\u62df\u5408\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u51b3\u7b56\u6811\u7684\u6784\u5efa\uff1a<\/p>\n<ul>\n<li>\u5bf9\u4e8e\u6bcf\u68f5\u51b3\u7b56\u6811\uff0c\u6839\u636e\u9009\u5b9a\u7684\u7279\u5f81\u548c\u6837\u672c\uff0c\u901a\u8fc7\u9012\u5f52\u5730\u9009\u62e9\u6700\u4f73\u7279\u5f81\u548c\u5212\u5206\u70b9\u6765\u6784\u5efa\u6811\u7ed3\u6784\uff0c\u76f4\u5230\u6ee1\u8db3\u505c\u6b62\u6761\u4ef6\uff08\u5982\u8fbe\u5230\u6700\u5927\u6df1\u5ea6\u3001\u8282\u70b9\u6837\u672c\u6570\u5c0f\u4e8e\u9608\u503c\uff09\u4e3a\u6b62\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u9884\u6d4b\u7ed3\u679c\u6574\u5408\uff1a<\/p>\n<ul>\n<li>\u5bf9\u4e8e\u5206\u7c7b\u95ee\u9898\uff0c\u968f\u673a\u68ee\u6797\u901a\u8fc7\u6295\u7968\u65b9\u5f0f\uff08\u591a\u6570\u8868\u51b3\uff09\u6765\u6574\u5408\u6bcf\u68f5\u6811\u7684\u9884\u6d4b\u7ed3\u679c\uff1b\u5bf9\u4e8e\u56de\u5f52\u95ee\u9898\uff0c\u53d6\u5e73\u5747\u503c\u4f5c\u4e3a\u6700\u7ec8\u9884\u6d4b\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E5%86%85%E5%AE%B9%E5%B0%8F%E7%BB%93\"><\/span>\u5185\u5bb9\u5c0f\u7ed3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\n<p>\u7ebf\u6027\u56de\u5f52<\/p>\n<ul>\n<li>\u5206\u7c7b\u95ee\u9898\u9884\u6d4b\u6570\u636e<strong>\u6240\u5c5e\u7684\u7c7b\u522b<\/strong>\uff0c\u800c\u7ebf\u6027\u56de\u5f52\u9884\u6d4b<strong>\u8fde\u7eed\u6570\u503c\u8f93\u51fa<\/strong>\u3002<\/li>\n<li>\u7ebf\u6027\u56de\u5f52\u901a\u5e38\u4f7f\u7528\u5747\u7edd\u5bf9\u504f\u5dee\u3001\u5e73\u5747\u5e73\u65b9\u504f\u5dee \u7b49\u6307\u6807\u8bc4\u4f30\u6a21\u578b\u62df\u5408\u7a0b\u5ea6<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u903b\u8f91\u56de\u5f52<\/p>\n<ul>\n<li>\u903b\u8f91\u56de\u5f52\u662f\u4e00\u79cd\u5e7f\u4e49\u7684\u7ebf\u6027\u56de\u5f52\u5206\u6790\u6a21\u578b\uff0c\u5176\u6838\u5fc3\u5728\u4e8e\u4f7f\u7528Sigmoid\u51fd\u6570\u5c06\u7ebf\u6027\u56de\u5f52\u7684\u7ed3\u679c\u6620\u5c04\u5230(0,1)\u7684\u8303\u56f4\u5185\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u7279\u5f81\u5de5\u7a0b<\/p>\n<ul>\n<li>\u7279\u5f81\u6570\u636e\u5904\u7406\u65f6\uff0c\u53ef\u80fd\u5b58\u5728\u5197\u4f59\u7684\u60c5\u51b5\uff0c\u8fd9\u4f1a\u589e\u52a0\u5b58\u50a8\u548c\u8ba1\u7b97\u4ee3\u4ef7\u3002\u6d88\u9664\u5197\u4f59\u7279\u5f81\u7684\u65b9\u6cd5\u4e3b\u8981\u6709\u4e24\u7c7b\uff1a<code><code>\u7279\u5f81\u7b5b\u9009<\/code><code> \u548c <\/code><code>\u7279\u5f81\u964d\u7ef4<\/code><\/code>\u3002<\/li>\n<li>\u7279\u5f81\u964d\u7ef4\u8981\u6bd4\u7279\u5f81\u7b5b\u9009\u66f4\u597d\u4e00\u4e9b\uff0c\u56e0\u4e3a\u6709\u4e00\u4e9b\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u8fd8\u662f\u6709\u7528\u7684\uff0c\u76f4\u63a5\u53bb\u6389\u662f\u4e0d\u592a\u5408\u9002\u7684\u3002<\/li>\n<li>\u7279\u5f81\u964d\u7ef4\u4e3b\u8981\u4f7f\u7528\u5947\u5f02\u503c\u5206\u89e3\uff0c\u5c06\u4e00\u4e2a\u6bd4\u8f83\u590d\u6742\u7684\u77e9\u9635\uff0c\u7528\u66f4\u5c0f\u66f4\u7b80\u5355\u7684\u51e0\u4e2a\u5b50\u77e9\u9635\u7684\u76f8\u4e58\u6765\u8868\u793a\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u805a\u7c7b\u7b97\u6cd5<\/p>\n<ul>\n<li>\u8fed\u4ee3\u6cd5\u662f\u4e00\u79cd\u901a\u8fc7\u53cd\u590d\u8fed\u4ee3\u903c\u8fd1\u95ee\u9898\u89e3\u7684\u65b9\u6cd5\uff0c\u901a\u8fc7\u591a\u6b21\u91cd\u590d\u6267\u884c\u76f8\u540c\u7684\u8ba1\u7b97\u6b65\u9aa4\uff0c\u9010\u6b65\u903c\u8fd1\u95ee\u9898\u7684\u89e3\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u96c6\u6210\u5b66\u4e60<\/p>\n<ul>\n<li>\u96c6\u6210\u5b66\u4e60\uff08Ensemble Learning\uff09\u662f\u4e00\u79cd\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\uff0c\u901a\u8fc7\u7ed3\u5408\u591a\u4e2a\u57fa\u7840\u6a21\u578b\u7684\u9884\u6d4b\u7ed3\u679c\u6765\u63d0\u9ad8\u6574\u4f53\u6a21\u578b\u7684\u51c6\u786e\u6027\u548c\u7a33\u5b9a\u6027\u3002<\/li>\n<li>\u96c6\u6210\u5b66\u4e60\u7684\u6838\u5fc3\u601d\u60f3\u662f\u201c\u4e09\u4e2a\u81ed\u76ae\u5320\u9876\u4e2a\u8bf8\u845b\u4eae\u201d\u3002<\/li>\n<li>\u96c6\u6210\u5b66\u4e60\u6709\u591a\u91cd\u65b9\u6cd5\uff0c\u5176\u4e2d\u968f\u673a\u68ee\u6797\u5728\u6027\u80fd\u6307\u6807\u3001\u63a8\u7406\u901f\u5ea6\u3001\u8bad\u7ec3\u901f\u5ea6\u65b9\u9762\u8868\u73b0\u6700\u597d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E8%B5%84%E6%96%99%EF%BC%9A\"><\/span>\u53c2\u8003\u8d44\u6599\uff1a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/developers.google.com\/machine-learning\/crash-course\/descending-into-ml\/linear-regression\">\u7ebf\u6027\u56de\u5f52<\/a><\/p>\n<p><a href=\"https:\/\/www.cnblogs.com\/traditional\/p\/11178951.html\">\u7ebf\u6027\u56de\u5f52\u7b97\u6cd5\u539f\u7406\u4e0e\u603b\u7ed3<\/a><\/p>\n<p><a href=\"https:\/\/www.bilibili.com\/video\/BV15k4y1p72z?vd_source=f825e70d1502bfc21582d29e60d89bb5\">\u3010\u4ee3\u6570\u660e\u73e0&#8211;\u5947\u5f02\u503c\u5206\u89e3\uff08SVD\uff09\u751f\u52a8\u52a8\u753b\u6f14\u793a\uff01\u3011<\/a><\/p>\n<p><a href=\"https:\/\/www.zhihu.com\/question\/22237507\">\u77e5\u4e4e\uff1a\u5947\u5f02\u503c\u7684\u7269\u7406\u610f\u4e49\u662f\u4ec0\u4e48\uff1f<\/a><\/p>\n<p><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/448767610\">\u77e5\u4e4e\uff1a\u5947\u5f02\u503c\u5206\u89e3\uff08SVD\uff09<\/a><\/p>\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>\u7ebf\u6027\u56de\u5f52 \u5206\u7c7b\u4e0e\u7ebf\u6027\u56de\u5f52 \u5047\u8bbe\u6709\u4ee5\u4e0b\u4e24\u79cd [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2065,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"aside","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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