{"id":1177,"date":"2023-07-27T09:50:11","date_gmt":"2023-07-27T09:50:11","guid":{"rendered":"https:\/\/statorials.org\/cn\/k%e6%8a%98%e4%ba%a4%e5%8f%89%e9%aa%8c%e8%af%81\/"},"modified":"2023-07-27T09:50:11","modified_gmt":"2023-07-27T09:50:11","slug":"k%e6%8a%98%e4%ba%a4%e5%8f%89%e9%aa%8c%e8%af%81","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/k%e6%8a%98%e4%ba%a4%e5%8f%89%e9%aa%8c%e8%af%81\/","title":{"rendered":"K \u6298\u4ea4\u53c9\u9a8c\u8bc1\u7b80\u5355\u6307\u5357"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8bc4\u4f30\u6a21\u578b\u5728\u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\uff0c\u6211\u4eec\u9700\u8981\u8861\u91cf\u6a21\u578b\u505a\u51fa\u7684\u9884\u6d4b\u4e0e\u89c2\u5bdf\u5230\u7684\u6570\u636e\u7684\u5339\u914d\u7a0b\u5ea6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8861\u91cf\u8fd9\u4e00\u70b9\u7684\u6700\u5e38\u89c1\u65b9\u6cd5\u662f\u4f7f\u7528\u5747\u65b9\u8bef\u5dee (MSE)\uff0c\u5176\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE = (1\/n)*\u03a3(y <sub>i<\/sub> \u2013 f(x <sub>i<\/sub> )) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u89c2\u5bdf\u603b\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>y <sub>i<\/sub> \uff1a<\/strong><sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u54cd\u5e94\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>f( <sub>xi<\/sub> ):<\/strong>\u7b2c i<sup>\u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u9884\u6d4b\u54cd\u5e94\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6a21\u578b\u9884\u6d4b\u4e0e\u89c2\u6d4b\u503c\u8d8a\u63a5\u8fd1\uff0cMSE \u5c31\u8d8a\u4f4e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u8fc7\u7a0b\u6765\u8ba1\u7b97\u7ed9\u5b9a\u6a21\u578b\u7684 MSE\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u5c06\u6570\u636e\u96c6\u5206\u4e3a\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u4ec5\u4f7f\u7528\u8bad\u7ec3\u96c6\u4e2d\u7684\u6570\u636e\u521b\u5efa\u6a21\u578b\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong>\u4f7f\u7528\u6a21\u578b\u5bf9\u6d4b\u8bd5\u96c6\u8fdb\u884c\u9884\u6d4b\u5e76\u6d4b\u91cf\u6d4b\u8bd5\u7684 MSE\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE \u6d4b\u8bd5\u8ba9\u6211\u4eec\u4e86\u89e3\u6a21\u578b\u5728\u4ece\u672a\u89c1\u8fc7\u7684\u6570\u636e\u4e0a\u7684\u8868\u73b0\u5982\u4f55\u3002\u7136\u800c\uff0c\u4f7f\u7528\u5355\u4e2a\u6d4b\u8bd5\u96c6\u7684\u7f3a\u70b9\u662f MSE \u6d4b\u8bd5\u53ef\u80fd\u4f1a\u6839\u636e\u8bad\u7ec3\u548c\u6d4b\u8bd5\u96c6\u4e2d\u4f7f\u7528\u7684\u89c2\u5bdf\u7ed3\u679c\u800c\u53d1\u751f\u663e\u7740\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u907f\u514d\u6b64\u95ee\u9898\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u6bcf\u6b21\u4f7f\u7528\u4e0d\u540c\u7684\u8bad\u7ec3\u548c\u6d4b\u8bd5\u96c6\u591a\u6b21\u62df\u5408\u6a21\u578b\uff0c\u7136\u540e\u5c06\u6d4b\u8bd5 MSE \u8ba1\u7b97\u4e3a\u6240\u6709\u6d4b\u8bd5 MSE \u7684\u5e73\u5747\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u79cd\u901a\u7528\u65b9\u6cd5\u79f0\u4e3a\u4ea4\u53c9\u9a8c\u8bc1\uff0c\u5176\u7279\u5b9a\u5f62\u5f0f\u79f0\u4e3a<b>k \u6298\u4ea4\u53c9\u9a8c\u8bc1<\/b>\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K \u6298\u4ea4\u53c9\u9a8c\u8bc1<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>K \u6298\u4ea4\u53c9\u9a8c\u8bc1<\/strong>\u4f7f\u7528\u4ee5\u4e0b\u65b9\u6cd5\u6765\u8bc4\u4f30\u6a21\u578b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u5c06\u6570\u636e\u96c6\u968f\u673a\u5206\u4e3a<em>k<\/em>\u7ec4\uff0c\u6216\u201c\u6298\u53e0\u201d\uff0c\u5927\u5c0f\u5927\u81f4\u76f8\u7b49\u3002<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11712 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold1.png\" alt=\"\u5c06\u6570\u636e\u96c6\u62c6\u5206\u4e3a k \u4efd\" width=\"530\" height=\"133\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u6b65\uff1a\u9009\u62e9\u5176\u4e2d\u4e00\u4e2a\u6298\u53e0\u4f5c\u4e3a\u60a8\u7684\u56fa\u5b9a\u96c6\u3002\u5c06\u6a21\u677f\u8c03\u6574\u5230\u5269\u4f59\u7684 k-1 \u6298\u53e0\u3002\u6839\u636e\u5f20\u7d27\u5c42\u4e2d\u7684\u89c2\u6d4b\u503c\u8ba1\u7b97 MSE \u68c0\u9a8c\u3002<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11713 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold2.png\" alt=\"k\u6298\u4ea4\u53c9\u9a8c\u8bc1\" width=\"550\" height=\"174\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u91cd\u590d\u6b64\u8fc7\u7a0b<em>k<\/em>\u6b21\uff0c\u6bcf\u6b21\u4f7f\u7528\u4e0d\u540c\u7684\u96c6\u5408\u4f5c\u4e3a\u6392\u9664\u96c6\u3002<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11714 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold3.png\" alt=\"k \u6298\u4ea4\u53c9\u9a8c\u8bc1\u793a\u4f8b\" width=\"618\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u5c06\u6d4b\u8bd5\u7684\u603b\u4f53 MSE \u8ba1\u7b97\u4e3a\u6d4b\u8bd5\u7684<em>k \u4e2a<\/em>MSE \u7684\u5e73\u5747\u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6d4b\u8bd5 MSE = (1\/k)*\u03a3MSE <sub>i<\/sub><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6298\u53e0\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>MSE <sub>i<\/sub><\/strong> \uff1a\u5728<sup>\u7b2c i \u6b21<\/sup>\u8fed\u4ee3\u65f6\u6d4b\u8bd5 MSE<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u5982\u4f55\u9009\u62e9K<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e00\u822c\u6765\u8bf4\uff0c\u6211\u4eec\u5728 k \u91cd\u4ea4\u53c9\u9a8c\u8bc1\u4e2d\u4f7f\u7528\u7684\u6298\u53e0\u8d8a\u591a\uff0cMSE \u6d4b\u8bd5\u504f\u5dee\u8d8a\u4f4e\uff0c\u4f46\u65b9\u5dee\u8d8a\u9ad8\u3002\u76f8\u53cd\uff0c\u6211\u4eec\u4f7f\u7528\u7684\u6298\u53e0\u8d8a\u5c11\uff0c\u504f\u5dee\u5c31\u8d8a\u9ad8\uff0c\u4f46\u65b9\u5dee\u5c31\u8d8a\u4f4e\u3002\u8fd9\u662f\u673a\u5668\u5b66\u4e60\u4e2d <a href=\"https:\/\/statorials.org\/cn\/\u504f\u5dee\u65b9\u5dee\u6298\u8877\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u504f\u5dee-\u65b9\u5dee\u6743\u8861\u7684<\/a>\u5178\u578b\u4f8b\u5b50\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u4e00\u822c\u9009\u62e9\u4f7f\u75285\u5c42\u523010\u5c42\u4e4b\u95f4\u3002\u6b63\u5982<a href=\"https:\/\/www.ime.unicamp.br\/~dias\/Intoduction%20to%20Statistical%20Learning.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><em>\u300a\u7edf\u8ba1\u5b66\u4e60\u7b80\u4ecb\u300b<\/em>\u4e2d\u6240\u6307\u51fa\u7684\uff0c<\/a>\u8be5\u6298\u53e0\u6570\u5df2\u88ab\u8bc1\u660e\u53ef\u4ee5\u5728\u504f\u5dee\u548c\u65b9\u5dee\u4e4b\u95f4\u63d0\u4f9b\u6700\u4f73\u5e73\u8861\uff0c\u4ece\u800c\u63d0\u4f9b\u6d4b\u8bd5 MSE \u7684\u53ef\u9760\u4f30\u8ba1\uff1a<\/span><\/p>\n<blockquote>\n<p><span style=\"color: #000000;\">\u603b\u800c\u8a00\u4e4b\uff0c\u5728 k \u500d\u4ea4\u53c9\u9a8c\u8bc1\u4e2d\uff0c\u5b58\u5728\u4e0e k \u7684\u9009\u62e9\u76f8\u5173\u7684\u504f\u5dee-\u65b9\u5dee\u6743\u8861\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\uff0c\u8003\u8651\u5230\u8fd9\u4e9b\u56e0\u7d20\uff0c\u6211\u4eec\u4f1a\u4f7f\u7528 k = 5 \u6216 k = 10 \u6267\u884c k \u500d\u4ea4\u53c9\u9a8c\u8bc1\uff0c\u56e0\u4e3a\u7ecf\u9a8c\u8868\u660e\u8fd9\u4e9b\u503c\u53ef\u4ee5\u4ea7\u751f\u6d4b\u8bd5\u9519\u8bef\u7387\u4f30\u8ba1\u503c\uff0c\u65e2\u4e0d\u4f1a\u51fa\u73b0\u8fc7\u9ad8\u7684\u504f\u5dee\uff0c\u4e5f\u4e0d\u4f1a\u51fa\u73b0\u8fc7\u9ad8\u7684\u65b9\u5dee\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">-\u7b2c 184 \u9875\uff0c<em>\u7edf\u8ba1\u5b66\u4e60\u7b80\u4ecb<\/em><\/span><\/p>\n<\/blockquote>\n<h3><span style=\"color: #000000;\"><strong>K \u6298\u4ea4\u53c9\u9a8c\u8bc1\u7684\u597d\u5904<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u5c06\u6570\u636e\u96c6\u62c6\u5206\u4e3a\u5355\u4e2a\u8bad\u7ec3\u96c6\u548c\u5355\u4e2a\u6d4b\u8bd5\u96c6\u65f6\uff0c\u6839\u636e\u6d4b\u8bd5\u96c6\u4e2d\u7684\u89c2\u6d4b\u503c\u8ba1\u7b97\u7684\u6d4b\u8bd5 MSE \u53ef\u80fd\u4f1a\u6839\u636e\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u4e2d\u4f7f\u7528\u7684\u89c2\u6d4b\u503c\u800c\u53d1\u751f\u663e\u7740\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528 k \u6298\u4ea4\u53c9\u9a8c\u8bc1\uff0c\u6211\u4eec\u80fd\u591f\u4f7f\u7528\u8bad\u7ec3\u548c\u6d4b\u8bd5\u96c6\u7684\u51e0\u79cd\u4e0d\u540c\u53d8\u4f53\u6765\u8ba1\u7b97 MSE \u6d4b\u8bd5\u3002\u8fd9\u4f7f\u6211\u4eec\u6709\u66f4\u5927\u7684\u673a\u4f1a\u83b7\u5f97\u6d4b\u8bd5 MSE \u7684\u65e0\u504f\u4f30\u8ba1\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">K \u6298\u4ea4\u53c9\u9a8c\u8bc1\u8fd8\u63d0\u4f9b\u4e86\u4f18\u4e8e<a href=\"https:\/\/statorials.org\/cn\/\u7559\u4e0b\u4e00\u4e2a\u4ea4\u53c9\u9a8c\u8bc1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7559\u4e00\u4ea4\u53c9\u9a8c\u8bc1 (LOOCV) \u7684<\/a>\u8ba1\u7b97\u4f18\u52bf\uff0c\u56e0\u4e3a\u5b83\u53ea\u9700\u62df\u5408\u6a21\u578b<em>k<\/em>\u6b21\u800c\u4e0d\u662f<em>n<\/em>\u6b21\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u9700\u8981\u5f88\u957f\u65f6\u95f4\u624d\u80fd\u62df\u5408\u7684\u6a21\u578b\uff0ck \u6298\u4ea4\u53c9\u9a8c\u8bc1\u53ef\u4ee5\u6bd4 LOOCV \u66f4\u5feb\u5730\u8ba1\u7b97\u6d4b\u8bd5 MSE\uff0c\u5e76\u4e14\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u5982\u679c\u4f7f\u7528\u8db3\u591f\u6570\u91cf\u7684\u6298\u53e0\uff0c\u5219\u6bcf\u79cd\u65b9\u6cd5\u8ba1\u7b97\u51fa\u7684\u6d4b\u8bd5 MSE \u5c06\u975e\u5e38\u76f8\u4f3c\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K \u6298\u4ea4\u53c9\u9a8c\u8bc1\u6269\u5c55<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">k \u6298\u4ea4\u53c9\u9a8c\u8bc1\u6709\u591a\u79cd\u6269\u5c55\uff0c\u5305\u62ec\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u91cd\u590d k \u6298\u4ea4\u53c9\u9a8c\u8bc1\uff1a<\/strong>\u8fd9\u662f\u7b80\u5355\u5730\u91cd\u590d k \u6298\u4ea4\u53c9\u9a8c\u8bc1<em>n<\/em>\u6b21\u7684\u5730\u65b9\u3002\u6bcf\u5f53\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u6df7\u5408\u65f6\uff0c\u8fd9\u90fd\u4f1a\u8fdb\u4e00\u6b65\u51cf\u5c11\u6d4b\u8bd5 MSE \u4f30\u8ba1\u7684\u504f\u5dee\uff0c\u5c3d\u7ba1\u8fd9\u6bd4\u666e\u901a\u7684 k \u6298\u4ea4\u53c9\u9a8c\u8bc1\u9700\u8981\u66f4\u957f\u7684\u65f6\u95f4\u624d\u80fd\u5b8c\u6210\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7559\u4e00\u4ea4\u53c9\u9a8c\u8bc1\uff1a<\/strong>\u8fd9\u662f k \u6298\u4ea4\u53c9\u9a8c\u8bc1\u7684\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\uff0c\u5176\u4e2d<em>k<\/em> = <em>n<\/em> \u3002\u60a8\u53ef\u4ee5<a href=\"https:\/\/statorials.org\/cn\/\u7559\u4e0b\u4e00\u4e2a\u4ea4\u53c9\u9a8c\u8bc1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5728\u6b64\u5904<\/a>\u4e86\u89e3\u6709\u5173\u6b64\u65b9\u6cd5\u7684\u66f4\u591a\u4fe1\u606f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5206\u5c42 k \u6298\u4ea4\u53c9\u9a8c\u8bc1\uff1a<\/strong>\u8fd9\u662f k \u6298\u4ea4\u53c9\u9a8c\u8bc1\u7684\u4e00\u4e2a\u7248\u672c\uff0c\u5176\u4e2d\u6570\u636e\u96c6\u4ee5\u6bcf\u6b21\u6298\u53e0\u4ee3\u8868\u6574\u4f53\u7684\u65b9\u5f0f\u91cd\u65b0\u6392\u5217\u3002\u6b63\u5982<a href=\"https:\/\/www.researchgate.net\/publication\/2352264_A_Study_of_Cross-Validation_and_Bootstrap_for_Accuracy_Estimation_and_Model_Selection\" target=\"_blank\" rel=\"noopener noreferrer\">Kohavi<\/a>\u6240\u6307\u51fa\u7684\uff0c\u4e0e\u666e\u901a\u7684 k \u6298\u4ea4\u53c9\u9a8c\u8bc1\u76f8\u6bd4\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5f80\u5f80\u53ef\u4ee5\u5728\u504f\u5dee\u548c\u65b9\u5dee\u4e4b\u95f4\u63d0\u4f9b\u66f4\u597d\u7684\u6743\u8861\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5d4c\u5957\u4ea4\u53c9\u9a8c\u8bc1\uff1a<\/strong>\u8fd9\u662f\u5728\u6bcf\u4e2a\u4ea4\u53c9\u9a8c\u8bc1\u6298\u53e0\u4e2d\u6267\u884c k \u6298\u53e0\u4ea4\u53c9\u9a8c\u8bc1\u7684\u5730\u65b9\u3002\u8fd9\u901a\u5e38\u7528\u4e8e\u5728\u6a21\u578b\u8bc4\u4f30\u671f\u95f4\u6267\u884c\u8d85\u53c2\u6570\u8c03\u6574\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e3a\u4e86\u8bc4\u4f30\u6a21\u578b\u5728\u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\uff0c\u6211\u4eec\u9700\u8981\u8861\u91cf\u6a21\u578b\u505a\u51fa\u7684\u9884\u6d4b\u4e0e\u89c2\u5bdf\u5230\u7684\u6570\u636e\u7684\u5339\u914d\u7a0b\u5ea6\u3002 \u8861\u91cf\u8fd9\u4e00\u70b9\u7684\u6700\u5e38\u89c1\u65b9\u6cd5\u662f\u4f7f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1177","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>K \u6298\u4ea4\u53c9\u9a8c\u8bc1\u7b80\u5355\u6307\u5357 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u4ecb\u7ecd\u4e86 k \u6298\u4ea4\u53c9\u9a8c\u8bc1\uff0c\u8fd9\u662f\u673a\u5668\u5b66\u4e60\u4e2d\u8bc4\u4f30\u6a21\u578b\u6027\u80fd\u7684\u5e38\u7528\u65b9\u6cd5\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/k\u6298\u4ea4\u53c9\u9a8c\u8bc1\/\" \/>\n<meta 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