{"id":1177,"date":"2023-07-27T09:44:39","date_gmt":"2023-07-27T09:44:39","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-k-kat-capraz-dogrulama\/"},"modified":"2023-07-27T09:44:39","modified_gmt":"2023-07-27T09:44:39","slug":"rde-k-kat-capraz-dogrulama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-k-kat-capraz-dogrulama\/","title":{"rendered":"R&#39;de k-katlamal\u0131 \u00e7apraz do\u011frulama (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir modelin veri seti \u00fczerindeki performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in modelin yapt\u0131\u011f\u0131 tahminlerin g\u00f6zlemlenen verilerle ne kadar iyi e\u015fle\u015fti\u011fini \u00f6l\u00e7memiz gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu yapmak i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem, a\u015fa\u011f\u0131daki yakla\u015f\u0131m\u0131 kullanan <a href=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-katl\u0131 \u00e7apraz do\u011frulama<\/a> olarak bilinir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Bir veri k\u00fcmesini rastgele olarak yakla\u015f\u0131k olarak e\u015fit b\u00fcy\u00fckl\u00fckte <em>k<\/em> gruba veya &#8220;katlamaya&#8221; b\u00f6l\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Tutucu set olarak k\u0131vr\u0131mlardan birini se\u00e7in. \u015eablonu kalan k-1 k\u0131vr\u0131mlar\u0131na g\u00f6re ayarlay\u0131n. Gerilmi\u015f kattaki g\u00f6zlemler \u00fczerinden MSE testini hesaplay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Her seferinde farkl\u0131 bir k\u00fcmeyi d\u0131\u015flama k\u00fcmesi olarak kullanarak bu i\u015flemi <em>k<\/em> kez tekrarlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4.<\/strong> Genel test MSE&#8217;sini <em>k<\/em> test MSE&#8217;sinin ortalamas\u0131 olarak hesaplay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;de k-katl\u0131 \u00e7apraz do\u011frulama ger\u00e7ekle\u015ftirmenin en kolay yolu, R&#8217;deki <strong>d\u00fczeltme i\u015fareti<\/strong> kitapl\u0131\u011f\u0131ndan <a href=\"https:\/\/www.rdocumentation.org\/packages\/caret\/versions\/6.0-86\/topics\/trainControl\" target=\"_blank\" rel=\"noopener noreferrer\">trainControl()<\/a> i\u015flevini kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;de belirli bir model i\u00e7in k-katl\u0131 \u00e7apraz do\u011frulama ger\u00e7ekle\u015ftirmek \u00fczere bu i\u015flevin nas\u0131l kullan\u0131laca\u011f\u0131na ili\u015fkin h\u0131zl\u0131 bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de K-Katlamal\u0131 \u00c7apraz Do\u011frulama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de a\u015fa\u011f\u0131daki veri k\u00fcmesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(6, 8, 12, 14, 14, 15, 17, 22, 24, 23),\n                 x1=c(2, 5, 4, 3, 4, 6, 7, 5, 8, 9),\n                 x2=c(14, 12, 12, 13, 7, 8, 7, 4, 6, 5))\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\ny x1 x2\n6 2 14\n8 5 12\n12 4 12\n14 3 13\n14 4 7\n15 6 8\n17 7 7\n22 5 4\n24 8 6\n23 9 5\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, R&#8217;deki bu veri k\u00fcmesine <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7oklu do\u011frusal regresyon modelinin<\/a> nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve modelin performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in k = 5 kez k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (caret)<\/span>\n\n#specify the cross-validation method<\/span>\nctrl &lt;- trainControl(method = \" <span style=\"color: #008000;\">cv<\/span> \", number = 5)\n\n<span style=\"color: #008080;\">#fit a regression model and use k-fold CV to evaluate performance\n<\/span>model &lt;- train(y ~ x1 + x2, data = df, method = \" <span style=\"color: #008000;\">lm<\/span> \", trControl = ctrl)\n\n<span style=\"color: #008080;\">#view summary of k-fold CV               \n<\/span>print(model)\n\nLinear Regression \n\n10 samples\n 2 predictors\n\nNo pre-processing\nResampling: Cross-Validated (5 fold) \nSummary of sample sizes: 8, 8, 8, 8, 8 \nResampling results:\n\n  RMSE Rsquared MAE     \n  3.018979 1 2.882348\n\nTuning parameter 'intercept' was held constant at a value of TRUE\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonucun nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Hi\u00e7bir \u00f6n i\u015flem yap\u0131lmad\u0131. Yani modelleri yerle\u015ftirmeden \u00f6nce <a href=\"https:\/\/statorials.org\/tr\/rdeki-veriler-nasil-normallestirilir\/\" target=\"_blank\" rel=\"noopener noreferrer\">verileri hi\u00e7bir \u015fekilde \u00f6l\u00e7eklendirmedik<\/a> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Modeli de\u011ferlendirmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z yeniden \u00f6rnekleme y\u00f6ntemi 5 kat \u00e7apraz do\u011frulamayd\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her e\u011fitim seti i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 8&#8217;dir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RMSE:<\/strong> k\u00f6k ortalama kare hatas\u0131. Bu, model taraf\u0131ndan yap\u0131lan tahminler ile ger\u00e7ek g\u00f6zlemler aras\u0131ndaki ortalama fark\u0131 \u00f6l\u00e7er. RMSE ne kadar d\u00fc\u015f\u00fck olursa, model ger\u00e7ek g\u00f6zlemleri o kadar do\u011fru tahmin edebilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Rsquared:<\/strong> Bu, model taraf\u0131ndan yap\u0131lan tahminler ile ger\u00e7ek g\u00f6zlemler aras\u0131ndaki korelasyonun bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. R-kare de\u011feri ne kadar y\u00fcksek olursa, model ger\u00e7ek g\u00f6zlemleri o kadar do\u011fru tahmin edebilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MAE:<\/strong> Ortalama mutlak hata. Bu, model taraf\u0131ndan yap\u0131lan tahminler ile ger\u00e7ek g\u00f6zlemler aras\u0131ndaki ortalama mutlak farkt\u0131r. MAE ne kadar d\u00fc\u015f\u00fck olursa, model ger\u00e7ek g\u00f6zlemleri o kadar do\u011fru tahmin edebilir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Sonu\u00e7ta sa\u011flanan \u00fc\u00e7 \u00f6l\u00e7\u00fcm\u00fcn her biri (RMSE, R-kare ve MAE), bize modelin yay\u0131nlanmam\u0131\u015f veriler \u00fczerindeki performans\u0131 hakk\u0131nda fikir verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada, hangi modelin en d\u00fc\u015f\u00fck test hatas\u0131 oranlar\u0131n\u0131 \u00fcretti\u011fine ve dolay\u0131s\u0131yla kullan\u0131lacak en iyi model oldu\u011funa karar vermek i\u00e7in genellikle birka\u00e7 farkl\u0131 model uydururuz ve burada sunulan sonu\u00e7lar\u0131n sa\u011flad\u0131\u011f\u0131 \u00fc\u00e7 \u00f6l\u00e7\u00fcm\u00fc kar\u015f\u0131la\u015ft\u0131r\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nihai model uyumunu incelemek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view final model<\/span>\nmodel$finalModel\n\nCall:\nlm(formula = .outcome ~ ., data = dat)\n\nCoefficients:\n(Intercept) x1 x2  \n    21.2672 0.7803 -1.1253  \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Nihai model \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 21,2672 + 0,7803*(x <sub>1<\/sub> ) \u2013 1,12538(x <sub>2<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her katlama i\u00e7in yap\u0131lan model tahminlerini g\u00f6r\u00fcnt\u00fclemek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view predictions for each fold<\/span>\nmodel$resample\n\n      RMSE Rsquared MAE Resample\n1 4.808773 1 3.544494 Fold1\n2 3.464675 1 3.366812 Fold2\n3 6.281255 1 6.280702 Fold3\n4 3.759222 1 3.573883 Fold4\n5 1.741127 1 1.679767 Fold5<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte k=5 katlamay\u0131 se\u00e7ti\u011fimizi, ancak istedi\u011finiz say\u0131da katlamay\u0131 se\u00e7ebilece\u011finizi unutmay\u0131n. Pratikte genellikle 5 ila 10 kat aras\u0131nda se\u00e7im yapar\u0131z, \u00e7\u00fcnk\u00fc bu, g\u00fcvenilir test hatas\u0131 oranlar\u0131 \u00fcreten en uygun kat say\u0131s\u0131d\u0131r.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir modelin veri seti \u00fczerindeki performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in modelin yapt\u0131\u011f\u0131 tahminlerin g\u00f6zlemlenen verilerle ne kadar iyi e\u015fle\u015fti\u011fini \u00f6l\u00e7memiz gerekir. Bunu yapmak i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem, a\u015fa\u011f\u0131daki yakla\u015f\u0131m\u0131 kullanan k-katl\u0131 \u00e7apraz do\u011frulama olarak bilinir: 1. Bir veri k\u00fcmesini rastgele olarak yakla\u015f\u0131k olarak e\u015fit b\u00fcy\u00fckl\u00fckte k gruba veya &#8220;katlamaya&#8221; b\u00f6l\u00fcn. 2. Tutucu set olarak k\u0131vr\u0131mlardan [&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-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R&#039;de K-Katlamal\u0131 \u00c7apraz Do\u011frulama (Ad\u0131m Ad\u0131m)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\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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