{"id":835,"date":"2023-07-28T14:39:22","date_gmt":"2023-07-28T14:39:22","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%9f%92%e8%9b%87%e5%8d%a1\/"},"modified":"2023-07-28T14:39:22","modified_gmt":"2023-07-28T14:39:22","slug":"%e8%9f%92%e8%9b%87%e5%8d%a1","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%9f%92%e8%9b%87%e5%8d%a1\/","title":{"rendered":"\u5982\u4f55\u5728python\u4e2d\u8ba1\u7b97mape"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5e73\u5747\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee (MAPE)<\/strong>\u901a\u5e38\u7528\u4e8e\u8861\u91cf\u6a21\u578b\u7684\u9884\u6d4b\u51c6\u786e\u6027\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MAPE<\/strong> = (1\/n) * \u03a3(|\u5b9e\u9645 \u2013 \u9884\u6d4b| \/ |\u5b9e\u9645|) * 100<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \u2013 \u8868\u793a\u201c\u548c\u201d\u7684\u7b26\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\u2014\u2014<\/strong>\u6837\u672c\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>real\u2014\u2014<\/strong>\u6570\u636e\u7684\u5b9e\u9645\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u9884\u6d4b<\/strong>\u2014\u2014\u9884\u6d4b\u6570\u636e\u7684\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">MAPE \u4e4b\u6240\u4ee5\u5e38\u7528\uff0c\u662f\u56e0\u4e3a\u5b83\u6613\u4e8e\u89e3\u91ca\u548c\u89e3\u91ca\u3002\u4f8b\u5982\uff0cMAPE \u503c\u4e3a 11.5% \u8868\u793a\u9884\u6d4b\u503c\u4e0e\u5b9e\u9645\u503c\u4e4b\u95f4\u7684\u5e73\u5747\u5dee\u5f02\u4e3a 11.5%\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">MAPE \u503c\u8d8a\u4f4e\uff0c\u6a21\u578b\u9884\u6d4b\u503c\u7684\u80fd\u529b\u5c31\u8d8a\u597d\u3002\u4f8b\u5982\uff0cMAPE \u4e3a 5% \u7684\u6a21\u578b\u6bd4 MAPE \u4e3a 10% \u7684\u6a21\u578b\u66f4\u51c6\u786e\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97MAPE<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u6ca1\u6709\u5185\u7f6e\u7684 Python \u51fd\u6570\u6765\u8ba1\u7b97 MAPE\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u521b\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u51fd\u6570\u6765\u6267\u884c\u6b64\u64cd\u4f5c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\n\ndef<\/span> mape( <span style=\"color: #3752cc;\">actual<\/span> , <span style=\"color: #3752cc;\">pred<\/span> ): \n    actual, pred = np.array(actual), np.array(pred)\n    <span style=\"color: #107d3f;\">return<\/span> np.mean(np.abs((actual - pred) \/ actual)) * 100\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6b64\u51fd\u6570\u8ba1\u7b97\u4e24\u4e2a\u8868\u7684 MAPE\uff1a\u4e00\u4e2a\u5305\u542b\u5b9e\u9645\u6570\u636e\u503c\uff0c\u53e6\u4e00\u4e2a\u5305\u542b\u9884\u6d4b\u6570\u636e\u503c\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>actual = [12, 13, 14, 15, 15,22, 27]\npred = [11, 13, 14, 14, 15, 16, 18]\n\nmap(actual, pred)\n\n10.8009\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ece\u7ed3\u679c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u8be5\u6a21\u578b\u7684\u5e73\u5747\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee\u4e3a<strong>10.8009%<\/strong> \u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u9884\u6d4b\u503c\u4e0e\u5b9e\u9645\u503c\u7684\u5e73\u5747\u5dee\u5f02\u4e3a10.8009%\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f7f\u7528MAPE\u7684\u6ce8\u610f\u4e8b\u9879<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5c3d\u7ba1 MAPE \u6613\u4e8e\u8ba1\u7b97\u548c\u89e3\u91ca\uff0c\u4f46\u5176\u4f7f\u7528\u6709\u4e24\u4e2a\u6f5c\u5728\u7f3a\u70b9\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1<\/strong> \u3001\u7531\u4e8e\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a|\u5b9e\u9645\u9884\u6d4b| \/ |\u771f\u5b9e|\u8fd9\u610f\u5473\u7740\u5982\u679c\u4efb\u4f55\u5b9e\u9645\u503c\u4e3a\u96f6\uff0c\u5219\u4e0d\u4f1a\u5b9a\u4e49 MAPE\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> MAPE \u4e0d\u5e94\u7528\u4e8e\u4f4e\u5bb9\u91cf\u6570\u636e\u3002\u4f8b\u5982\uff0c\u5982\u679c\u67d0\u4e2a\u9879\u76ee\u7684\u5b9e\u9645\u9700\u6c42\u4e3a 2\uff0c\u9884\u6d4b\u4e3a 1\uff0c\u5219\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee\u503c\u4e3a |2-1| \/ |2| = 50%\uff0c\u8fd9\u4f7f\u5f97\u9884\u6d4b\u8bef\u5dee\u663e\u5f97\u76f8\u5f53\u9ad8\uff0c\u5373\u4f7f\u9884\u6d4b\u4ec5\u504f\u79bb 1 \u4e2a\u5355\u4f4d\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5e73\u5747\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee (MAPE)\u901a\u5e38\u7528\u4e8e\u8861\u91cf\u6a21\u578b\u7684\u9884\u6d4b\u51c6\u786e\u6027\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a MAPE = (1\/n) * \u03a3 [&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-835","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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