{"id":2248,"date":"2023-07-23T02:03:54","date_gmt":"2023-07-23T02:03:54","guid":{"rendered":"https:\/\/statorials.org\/ja\/mse%e5%af%bermse\/"},"modified":"2023-07-23T02:03:54","modified_gmt":"2023-07-23T02:03:54","slug":"mse%e5%af%bermse","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/mse%e5%af%bermse\/","title":{"rendered":"Mse vs. rmse: \u3069\u306e\u6307\u6a19\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304b?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u56de\u5e30\u30e2\u30c7\u30eb\u306f\u30011 \u3064\u4ee5\u4e0a\u306e\u4e88\u6e2c\u5909\u6570\u3068<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u9593\u306e\u95a2\u4fc2\u3092\u5b9a\u91cf\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u308b\u3068\u304d\u306f\u5e38\u306b\u3001\u30e2\u30c7\u30eb\u304c\u4e88\u6e2c\u5909\u6570\u306e\u5024\u3092\u3069\u306e\u7a0b\u5ea6\u3046\u307e\u304f\u4f7f\u7528\u3057\u3066\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092\u4e88\u6e2c\u3067\u304d\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u3044\u3068\u8003\u3048\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3057\u3066\u3044\u308b\u304b\u3092\u5b9a\u91cf\u5316\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b 2 \u3064\u306e\u6307\u6a19\u306f\u3001\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee (MSE) \u3068\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u8aa4\u5dee (RMSE) \u3067\u3059\u3002\u3053\u308c\u3089\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MSE<\/strong> : \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u4e88\u6e2c\u5024\u3068\u5b9f\u969b\u306e\u5024\u306e\u9593\u306e\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u306e\u5dee\u3092\u793a\u3059\u6307\u6a19\u3002 MSE \u304c\u4f4e\u3044\u307b\u3069\u3001\u30e2\u30c7\u30eb\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE = \u03a3(\u0177 <sub>i<\/sub> \u2013 y <sub>i<\/sub> ) <sup>2<\/sup> \/ n<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3\u306f\u300c\u548c\u300d\u3092\u610f\u5473\u3059\u308b\u8a18\u53f7\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">\u0177 <sub>i<\/sub>\u306f i<sup>\u756a\u76ee<\/sup>\u306e\u89b3\u6e2c\u5024\u306e\u4e88\u6e2c\u5024\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">y <sub>i<\/sub>\u306f<sup>i \u756a\u76ee<\/sup>\u306e\u89b3\u6e2c\u5024\u306e\u89b3\u6e2c\u5024\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">n \u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>RMSE<\/strong> : \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u4e88\u6e2c\u5024\u3068\u5b9f\u969b\u306e\u5024\u306e\u9593\u306e\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u306e\u5dee\u306e\u5e73\u65b9\u6839\u3092\u793a\u3059\u6307\u6a19\u3002 RMSE \u304c\u4f4e\u3044\u307b\u3069\u3001\u30e2\u30c7\u30eb\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">RMSE = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(\u0177 <sub>i<\/sub> \u2013 y <sub>i<\/sub> ) <sup>2<\/sup> \/ n<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3\u306f\u300c\u548c\u300d\u3092\u610f\u5473\u3059\u308b\u8a18\u53f7\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">\u0177 <sub>i<\/sub>\u306f i<sup>\u756a\u76ee<\/sup>\u306e\u89b3\u6e2c\u5024\u306e\u4e88\u6e2c\u5024\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">y <sub>i<\/sub>\u306f<sup>i \u756a\u76ee<\/sup>\u306e\u89b3\u6e2c\u5024\u306e\u89b3\u6e2c\u5024\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">n \u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5f0f\u306f\u307b\u307c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u5b9f\u969b\u3001\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u306f\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u306e\u5e73\u65b9\u6839\u306b\u3059\u304e\u307e\u305b\u3093\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>RMSE \u5bfeMSE: \u3069\u306e\u6307\u6a19\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304b?<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3057\u3066\u3044\u308b\u304b\u3092\u8a55\u4fa1\u3059\u308b\u306b\u306f\u3001 <strong>RMSE \u304c\u5fdc\u7b54\u5909\u6570\u3068\u540c\u3058\u5358\u4f4d\u3067\u6e2c\u5b9a\u3055\u308c\u308b\u305f\u3081\u3001RMSE \u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u304c\u591a\u304f\u306a\u308a\u307e\u3059<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9006\u306b\u3001MSE \u306f\u5fdc\u7b54\u5909\u6570\u306e\u5e73\u65b9\u5358\u4f4d\u3067\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d0\u30b9\u30b1\u30c3\u30c8\u30dc\u30fc\u30eb\u306e\u8a66\u5408\u3067 10 \u4eba\u306e\u9078\u624b\u304c\u4f55\u70b9\u3092\u7372\u5f97\u3059\u308b\u304b\u3092\u4e88\u6e2c\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u8868\u306f\u3001\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u4e88\u6e2c\u3055\u308c\u305f\u30dd\u30a4\u30f3\u30c8\u3068\u30d7\u30ec\u30fc\u30e4\u30fc\u304c\u7372\u5f97\u3057\u305f\u5b9f\u969b\u306e\u30dd\u30a4\u30f3\u30c8\u3092\u6bd4\u8f03\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/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;\">\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee (MSE) \u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">MSE = \u03a3(\u0177 <sub>i<\/sub> \u2013 y <sub>i<\/sub> ) <sup>2<\/sup> \/ n<\/span><\/li>\n<li> <span style=\"color: #000000;\">MSE = ((14-12) <sup>2<\/sup> +(15-15) <sup>2<\/sup> +(18-20) <sup>2<\/sup> +(19-16) <sup>2<\/sup> +(25-20) <sup>2<\/sup> +(18-19) <sup>2<\/sup> +(12-16) <sup>2<\/sup> +(12-20) <sup>2<\/sup> +(15-16) <sup>2<\/sup> +(22-16) <sup>2<\/sup> ) \/ 10<\/span><\/li>\n<li> <span style=\"color: #000000;\">MSE = 16<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u8aa4\u5dee\u306f<strong>16<\/strong>\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u4e88\u6e2c\u3055\u308c\u305f\u5024\u3068\u5b9f\u969b\u306e\u5024\u306e\u9593\u306e\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u306e\u5dee\u304c 16 \u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u8aa4\u5dee (RMSE) \u306f\u3001\u5358\u7d14\u306b MSE \u306e\u5e73\u65b9\u6839\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">ADE = \u221a <span style=\"border-top: 1px solid black;\">EQM<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">RMSE = \u221a <span style=\"border-top: 1px solid black;\">16<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">RMSE = 4<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u306f<strong>4<\/strong>\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u4e88\u6e2c\u5f97\u70b9\u3068\u5b9f\u969b\u306e\u5f97\u70b9\u306e\u9593\u306e\u5e73\u5747\u504f\u5dee\u304c 4 \u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u300c\u5f97\u70b9\u306e\u4e8c\u4e57\u300d\u3067\u306f\u306a\u304f\u300c\u5f97\u70b9\u300d\u306b\u3064\u3044\u3066\u8a71\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u306e\u89e3\u91c8\u306f\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u7c21\u5358\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>RMSE\u3092\u5b9f\u969b\u306b\u4f7f\u7528\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5b9f\u969b\u306b\u306f\u3001\u901a\u5e38\u3001\u91cd\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3055\u305b\u3001\u5404\u30e2\u30c7\u30eb\u306e\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u8aa4\u5dee (RMSE) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001RMSE \u5024\u304c\u6700\u3082\u4f4e\u3044\u30e2\u30c7\u30eb\u3092\u300c\u6700\u826f\u306e\u300d\u30e2\u30c7\u30eb\u3068\u3057\u3066\u9078\u629e\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5b9f\u969b\u306e\u5024\u306b\u6700\u3082\u8fd1\u3044\u4e88\u6e2c\u3092\u884c\u3046\u30e2\u30c7\u30eb\u3060\u304b\u3089\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u30e2\u30c7\u30eb\u306e MSE \u5024\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001RMSE \u306e\u65b9\u304c\u89e3\u91c8\u3057\u3084\u3059\u3044\u305f\u3081\u3001\u3088\u308a\u983b\u7e41\u306b\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/span><\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">\u91cd\u7dda\u5f62\u56de\u5e30\u306e\u6982\u8981<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/rmse-vs-r\u4e8c\u4e57\/\" target=\"_blank\" rel=\"noopener\">RMSE \u3068 R \u4e8c\u4e57: \u3069\u3061\u3089\u306e\u6307\u6a19\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304b?<\/a><br \/> <a href=\"https:\/\/statorials.org\/ja\/\u5b9f\u52b9\u5024\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">RMSE\u8a08\u7b97\u6a5f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u56de\u5e30\u30e2\u30c7\u30eb\u306f\u30011 \u3064\u4ee5\u4e0a\u306e\u4e88\u6e2c\u5909\u6570\u3068\u5fdc\u7b54\u5909\u6570\u306e\u9593\u306e\u95a2\u4fc2\u3092\u5b9a\u91cf\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u308b\u3068\u304d\u306f\u5e38\u306b\u3001\u30e2\u30c7\u30eb\u304c\u4e88\u6e2c\u5909\u6570\u306e\u5024\u3092\u3069\u306e\u7a0b\u5ea6\u3046\u307e\u304f\u4f7f\u7528\u3057\u3066\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092\u4e88\u6e2c\u3067\u304d\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u3044\u3068\u8003\u3048\u307e\u3059\u3002 \u30e2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-2248","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>MSE vs. RMSE: \u3069\u306e\u6307\u6a19\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304b? - \u7d71\u8a08\u5b66<\/title>\n<meta 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