{"id":2261,"date":"2023-07-23T01:07:00","date_gmt":"2023-07-23T01:07:00","guid":{"rendered":"https:\/\/statorials.org\/cn\/mae-%e4%b8%8e-rmse\/"},"modified":"2023-07-23T01:07:00","modified_gmt":"2023-07-23T01:07:00","slug":"mae-%e4%b8%8e-rmse","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/mae-%e4%b8%8e-rmse\/","title":{"rendered":"Mae \u5bf9\u6bd4rmse\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u56de\u5f52\u6a21\u578b\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u5f53\u6211\u4eec\u62df\u5408\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u90fd\u60f3\u4e86\u89e3\u6a21\u578b\u80fd\u591f\u5982\u4f55\u5f88\u597d\u5730\u4f7f\u7528\u9884\u6d4b\u53d8\u91cf\u7684\u503c\u6765\u9884\u6d4b\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u7ecf\u5e38\u7528\u6765\u91cf\u5316\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u7684\u4e24\u4e2a\u6307\u6807\u662f\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee (MAE) \u548c\u5747\u65b9\u6839\u8bef\u5dee (RMSE)\uff0c\u5176\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MAE<\/strong> \uff1a\u544a\u8bc9\u6211\u4eec\u6570\u636e\u96c6\u4e2d\u9884\u6d4b\u503c\u4e0e\u5b9e\u9645\u503c\u4e4b\u95f4\u7684\u5e73\u5747\u7edd\u5bf9\u5dee\u7684\u6307\u6807\u3002 MAE \u8d8a\u4f4e\uff0c\u6a21\u578b\u8d8a\u9002\u5408\u6570\u636e\u96c6\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">MAE = 1\/n * \u03a3|y <sub>i<\/sub> \u2013 \u0177 <sub>i<\/sub> |<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3\u662f\u4e00\u4e2a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\">y <sub>i<\/sub>\u662f<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u89c2\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">\u0177 <sub>i<\/sub>\u662f\u7b2c i<sup>\u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u9884\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">n \u662f\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>RMSE<\/strong> \uff1a\u4e00\u79cd\u5ea6\u91cf\uff0c\u544a\u8bc9\u6211\u4eec\u6570\u636e\u96c6\u4e2d\u9884\u6d4b\u503c\u4e0e\u5b9e\u9645\u503c\u4e4b\u95f4\u7684\u5747\u65b9\u6839\u5dee\u7684\u5e73\u65b9\u6839\u3002 RMSE \u8d8a\u4f4e\uff0c\u6a21\u578b\u8d8a\u9002\u5408\u6570\u636e\u96c6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">RMSE = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(y <sub>i<\/sub> \u2013 \u0177 <sub>i<\/sub> ) <sup>2<\/sup> \/ n<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3\u662f\u4e00\u4e2a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0177 <sub>i<\/sub>\u662f\u7b2c i<sup>\u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u9884\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">y <sub>i<\/sub>\u662f<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u89c2\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">n \u662f\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aRMSE \u548c MAE \u7684\u8ba1\u7b97<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u4f7f\u7528\u56de\u5f52\u6a21\u578b\u6765\u9884\u6d4b 10 \u540d\u7403\u5458\u5728\u4e00\u573a\u7bee\u7403\u6bd4\u8d5b\u4e2d\u4f1a\u5f97\u5206\u591a\u5c11\u5206\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u8868\u663e\u793a\u4e86\u6a21\u578b\u9884\u6d4b\u7684\u5f97\u5206\u4e0e\u7403\u5458\u5b9e\u9645\u5f97\u5206\u7684\u6bd4\u8f83\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20563 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mse_1.png\" alt=\"\" width=\"275\" height=\"319\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528MAE\u8ba1\u7b97\u5668\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51faMAE\u4e3a<strong>3.2\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u544a\u8bc9\u6211\u4eec\uff0c\u6a21\u578b\u9884\u6d4b\u503c\u4e0e\u5b9e\u9645\u503c\u4e4b\u95f4\u7684\u5e73\u5747\u7edd\u5bf9\u5dee\u4e3a 3.2\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u5747\u65b9\u6839\u8bef\u5dee\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">RMSE \u8ba1\u7b97\u5668<\/a>\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa RMSE \u7b49\u4e8e<strong>4<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u544a\u8bc9\u6211\u4eec\uff0c\u9884\u6d4b\u5f97\u5206\u4e0e\u5b9e\u9645\u5f97\u5206\u4e4b\u95f4\u7684\u5747\u65b9\u6839\u5dee\u7684\u5e73\u65b9\u6839\u662f 4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u6bcf\u4e2a\u6307\u6807\u90fd\u8ba9\u6211\u4eec\u4e86\u89e3\u6a21\u578b\u7684\u9884\u6d4b\u503c\u4e0e\u6570\u636e\u96c6\u4e2d\u7684\u5b9e\u9645\u503c\u4e4b\u95f4\u7684\u5178\u578b\u5dee\u5f02\uff0c\u4f46\u6bcf\u4e2a\u6307\u6807\u7684\u89e3\u91ca\u7565\u6709\u4e0d\u540c\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>RMSE \u4e0e MAE\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u60f3\u4e3a\u8fdc\u79bb\u5747\u503c\u7684\u89c2\u6d4b\u503c\u5206\u914d\u66f4\u591a\u6743\u91cd\uff08\u5373\uff0c\u5982\u679c\u504f\u5dee 20 \u7684\u4e25\u91cd\u7a0b\u5ea6\u662f\u504f\u5dee 10 \u7684\u4e24\u500d\u4ee5\u4e0a\uff09\uff0c\u5219\u6700\u597d\u4f7f\u7528 RMSE \u6765\u6d4b\u91cf\u8bef\u5dee\uff0c\u56e0\u4e3a RMSE \u662f\u5bf9\u8fdc\u79bb\u5e73\u5747\u503c\u7684\u89c2\u5bdf\u7ed3\u679c\u66f4\u52a0\u654f\u611f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f46\u662f\uff0c\u5982\u679c\u201c\u504f\u79fb\u201d\u4e3a 20 \u7684\u60c5\u51b5\u662f\u201c\u504f\u79fb\u201d\u4e3a 10 \u7684\u4e24\u500d\uff0c\u90a3\u4e48\u6700\u597d\u4f7f\u7528 MAE\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u540d\u5728\u5f97\u5206\u65b9\u9762\u660e\u663e\u5f02\u5e38\u7684\u7403\u5458\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20626 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sortie2.png\" alt=\"\" width=\"272\" height=\"322\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u524d\u9762\u63d0\u5230\u7684\u5728\u7ebf\u8ba1\u7b97\u5668\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97 MAE \u548c RMSE \u4e3a\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u7855\u58eb<\/strong>\uff1a8<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5747\u65b9\u6839\u8bef\u5dee<\/strong>\uff1a16.4356<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0cRMSE \u7684\u589e\u5e45\u8fdc\u5927\u4e8e MAE\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u662f\u56e0\u4e3a RMSE \u5728\u5176\u516c\u5f0f\u4e2d\u4f7f\u7528\u4e86\u5e73\u65b9\u5dee\uff0c\u800c\u89c2\u6d4b\u503c 76 \u548c\u9884\u6d4b\u503c 22 \u4e4b\u95f4\u7684\u5e73\u65b9\u5dee\u76f8\u5f53\u5927\u3002\u8fd9\u5bfc\u81f4 RMSE \u503c\u663e\u7740\u589e\u52a0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u5c06\u591a\u4e2a\u56de\u5f52\u6a21\u578b\u62df\u5408\u5230\u4e00\u4e2a\u6570\u636e\u96c6\uff0c\u5e76\u4e3a\u6bcf\u4e2a\u6a21\u578b\u4ec5\u8ba1\u7b97\u5176\u4e2d\u4e00\u4e2a\u6307\u6807\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u62df\u5408\u4e09\u4e2a\u4e0d\u540c\u7684\u56de\u5f52\u6a21\u578b\u5e76\u8ba1\u7b97\u6bcf\u4e2a\u6a21\u578b\u7684 RMSE\u3002\u7136\u540e\uff0c\u6211\u4eec\u4f1a\u9009\u62e9 RMSE \u503c\u6700\u4f4e\u7684\u6a21\u578b\u4f5c\u4e3a\u201c\u6700\u4f73\u201d\u6a21\u578b\uff0c\u56e0\u4e3a\u5b83\u7684\u9884\u6d4b\u6700\u63a5\u8fd1\u6570\u636e\u96c6\u4e2d\u7684\u5b9e\u9645\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u65e0\u8bba\u54ea\u79cd\u60c5\u51b5\uff0c\u53ea\u9700\u786e\u4fdd\u4e3a\u6bcf\u4e2a\u6a21\u578b\u8ba1\u7b97\u76f8\u540c\u7684\u6307\u6807\u5373\u53ef\u3002\u4f8b\u5982\uff0c\u4e0d\u8981\u8ba1\u7b97\u4e00\u4e2a\u6a21\u578b\u7684 MAE \u548c\u53e6\u4e00\u6a21\u578b\u7684 RMSE\uff0c\u7136\u540e\u6bd4\u8f83\u8fd9\u4e24\u4e2a\u6d4b\u91cf\u503c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u4f7f\u7528\u4e0d\u540c\u7684\u7edf\u8ba1\u8f6f\u4ef6\u8ba1\u7b97 MAE\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u8868\u793a\u7edd\u5bf9\u8bef\u5deeexcel\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u7684\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u8868\u793a\u7edd\u5bf9\u9519\u8bef-python\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u7528 Python \u8ba1\u7b97\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee<\/a><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u4f7f\u7528\u4e0d\u540c\u7684\u7edf\u8ba1\u8f6f\u4ef6\u8ba1\u7b97 RMSE\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/excel\u5747\u65b9\u6839\u8bef\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97\u5747\u65b9\u8bef\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684rmse\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u5747\u65b9\u8bef\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5747\u65b9\u6839\u8bef\u5dee-python\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u8ba1\u7b97\u5747\u65b9\u8bef\u5dee<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u56de\u5f52\u6a21\u578b\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002 \u6bcf\u5f53\u6211\u4eec\u62df\u5408\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u90fd\u60f3\u4e86\u89e3\u6a21\u578b\u80fd\u591f\u5982\u4f55\u5f88\u597d [&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-2261","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>MAE \u5bf9\u6bd4RMSE\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f - \u7edf\u8ba1<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u89e3\u91ca\u4e86 MAE\uff08\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee\uff09\u548c RMSE\uff08\u5747\u65b9\u8bef\u5dee\uff09\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u5305\u62ec\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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