{"id":1176,"date":"2023-07-27T09:50:11","date_gmt":"2023-07-27T09:50:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/"},"modified":"2023-07-27T09:50:11","modified_gmt":"2023-07-27T09:50:11","slug":"k-kat-capraz-dogrulama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/","title":{"rendered":"K katlamal\u0131 \u00e7apraz do\u011frulama i\u0307\u00e7in basit bir k\u0131lavuz"},"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 \u00f6l\u00e7menin en yayg\u0131n yolu, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan ortalama karesel hatan\u0131n (MSE) kullan\u0131lmas\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE = (1\/n)*\u03a3(y <sub>ben<\/sub> \u2013 f(x <sub>ben<\/sub> )) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y <sub>i<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> g\u00f6zlemin yan\u0131t de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>f(x <sub>i<\/sub> ):<\/strong> <sup>i&#8217;inci<\/sup> g\u00f6zlemin tahmin edilen tepki de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Model tahminleri g\u00f6zlemlere ne kadar yak\u0131nsa MSE o kadar d\u00fc\u015f\u00fck olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada belirli bir modelin MSE&#8217;sini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki s\u00fcreci kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Veri setini e\u011fitim seti ve test seti olarak ikiye b\u00f6l\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Yaln\u0131zca e\u011fitim setindeki verileri kullanarak modeli olu\u015fturun.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Test seti hakk\u0131nda tahminlerde bulunmak ve testin MSE&#8217;sini \u00f6l\u00e7mek i\u00e7in modeli kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE testi bize bir modelin daha \u00f6nce g\u00f6rmedi\u011fi veriler \u00fczerinde ne kadar iyi performans g\u00f6sterdi\u011fine dair bir fikir verir. Ancak tek test seti kullanman\u0131n dezavantaj\u0131, MSE testinin e\u011fitim ve test setlerinde kullan\u0131lan g\u00f6zlemlere ba\u011fl\u0131 olarak \u00f6nemli \u00f6l\u00e7\u00fcde de\u011fi\u015febilmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sorunu \u00f6nlemenin bir yolu, her seferinde farkl\u0131 bir e\u011fitim ve test seti kullanarak bir modeli birden \u00e7ok kez s\u0131\u011fd\u0131rmak ve ard\u0131ndan test MSE&#8217;sini t\u00fcm test MSE&#8217;lerinin ortalamas\u0131 olarak hesaplamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu genel y\u00f6ntem, \u00e7apraz do\u011frulama olarak bilinir ve bunun \u00f6zel bir bi\u00e7imi <b>, k-katl\u0131 \u00e7apraz do\u011frulama<\/b> olarak bilinir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K-Fold \u00e7apraz do\u011frulama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>K-katl\u0131 \u00e7apraz do\u011frulama,<\/strong> bir modeli de\u011ferlendirmek i\u00e7in a\u015fa\u011f\u0131daki yakla\u015f\u0131m\u0131 kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: 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.<\/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=\"Bir veri k\u00fcmesini k kata b\u00f6lme\" width=\"530\" height=\"133\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Tutma setiniz 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.<\/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-katl\u0131 \u00e7apraz do\u011frulama\" width=\"550\" height=\"174\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Her seferinde d\u0131\u015flama k\u00fcmesi olarak farkl\u0131 bir k\u00fcme kullanarak bu i\u015flemi <em>k<\/em> kez tekrarlay\u0131n.<\/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-katl\u0131 \u00e7apraz do\u011frulama \u00f6rne\u011fi\" width=\"618\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Testin <em>k<\/em> MSE&#8217;lerinin ortalamas\u0131 olarak testin genel MSE&#8217;sini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MSE testi = (1\/k)*\u03a3MSE <sub>i<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> Katlama say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MSE <sub>i<\/sub><\/strong> : MSE&#8217;yi <sup>i&#8217;inci<\/sup> yinelemede test edin<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>K nas\u0131l se\u00e7ilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Genel olarak, k-katl\u0131 \u00e7apraz do\u011frulamada ne kadar \u00e7ok kat kullan\u0131rsak, MSE test sapmas\u0131 o kadar d\u00fc\u015f\u00fck, ancak varyans da o kadar y\u00fcksek olur. Tersine, ne kadar az katlama kullan\u0131rsak, sapma o kadar y\u00fcksek, ancak varyans da o kadar d\u00fc\u015f\u00fck olur. Bu, makine \u00f6\u011frenimindeki <a href=\"https:\/\/statorials.org\/tr\/onyargi-varyansi-uzlasmasi\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00f6nyarg\u0131-varyans de\u011fi\u015fiminin<\/a> klasik bir \u00f6rne\u011fidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada genellikle 5 ila 10 kat aras\u0131nda kullanmay\u0131 tercih ediyoruz. <a href=\"https:\/\/www.ime.unicamp.br\/~dias\/Intoduction%20to%20Statistical%20Learning.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><em>\u0130statistiksel \u00d6\u011frenmeye Giri\u015f&#8217;te<\/em> belirtildi\u011fi gibi,<\/a> bu katlama say\u0131s\u0131n\u0131n \u00f6nyarg\u0131 ve varyans aras\u0131nda optimal bir denge sa\u011flad\u0131\u011f\u0131 ve dolay\u0131s\u0131yla testin MSE&#8217;sine ili\u015fkin g\u00fcvenilir tahminler sa\u011flad\u0131\u011f\u0131 g\u00f6sterilmi\u015ftir:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">\u00d6zetlemek gerekirse, k-katl\u0131 \u00e7apraz do\u011frulamada k se\u00e7imiyle ili\u015fkili bir \u00f6nyarg\u0131-varyans de\u011fi\u015f toku\u015fu vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tipik olarak, bu hususlar g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, k = 5 veya k = 10 kullan\u0131larak k-katl\u0131 \u00e7apraz do\u011frulama ger\u00e7ekle\u015ftirilir, \u00e7\u00fcnk\u00fc bu de\u011ferlerin ne a\u015f\u0131r\u0131 y\u00fcksek \u00f6nyarg\u0131ya ne de \u00e7ok y\u00fcksek varyansa maruz kalmayan test hata oran\u0131 tahminlerini sa\u011flad\u0131\u011f\u0131 ampirik olarak g\u00f6sterilmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">-Sayfa 184, <em>\u0130statistiksel \u00d6\u011frenmeye Giri\u015f<\/em><\/span><\/p>\n<\/blockquote>\n<h3> <span style=\"color: #000000;\"><strong>K-Fold \u00c7apraz Do\u011frulaman\u0131n Faydalar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri setini tek bir e\u011fitim seti ve tek bir test setine ay\u0131rd\u0131\u011f\u0131m\u0131zda, test setindeki g\u00f6zlemler \u00fczerinden hesaplanan test MSE&#8217;si, e\u011fitim ve test setlerinde kullan\u0131lan g\u00f6zlemlere ba\u011fl\u0131 olarak \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131l\u0131k g\u00f6sterebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">K-katl\u0131 \u00e7apraz do\u011frulamay\u0131 kullanarak, MSE testini, e\u011fitim ve test setlerinin birka\u00e7 farkl\u0131 varyasyonunu kullanarak hesaplayabiliyoruz. Bu bize testin MSE&#8217;sine ili\u015fkin tarafs\u0131z bir tahmin elde etme \u015fans\u0131m\u0131z\u0131 art\u0131r\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">K-katl\u0131 \u00e7apraz do\u011frulama ayn\u0131 zamanda <a href=\"https:\/\/statorials.org\/tr\/tek-bir-capraz-dogrulama-birakin\/\" target=\"_blank\" rel=\"noopener noreferrer\">Bir-D\u0131\u015far\u0131da B\u0131rakma \u00c7apraz Do\u011frulamaya (LOOCV)<\/a> g\u00f6re hesaplama a\u00e7\u0131s\u0131ndan bir avantaj sa\u011flar \u00e7\u00fcnk\u00fc bir modele <em>n<\/em> kez yerine yaln\u0131zca <em>k<\/em> kez s\u0131\u011fmas\u0131 gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131\u011fd\u0131r\u0131lmas\u0131 uzun zaman alan modeller i\u00e7in, k-katl\u0131 \u00e7apraz do\u011frulama, test MSE&#8217;sini LOOCV&#8217;den \u00e7ok daha h\u0131zl\u0131 hesaplayabilir ve bir\u00e7ok durumda, yeterli say\u0131da katlama kullan\u0131rsan\u0131z her bir yakla\u015f\u0131mla hesaplanan test MSE&#8217;si olduk\u00e7a benzer olacakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K Katlamal\u0131 \u00c7apraz Do\u011frulama Uzant\u0131lar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131dakiler dahil, k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n \u00e7e\u015fitli uzant\u0131lar\u0131 vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tekrarlanan k-katl\u0131 \u00e7apraz do\u011frulama:<\/strong> Bu, k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n <em>n<\/em> kez tekrarland\u0131\u011f\u0131 yerdir. E\u011fitim ve test setleri kar\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda bu, test MSE tahminindeki sapmay\u0131 daha da azalt\u0131r, ancak bunun tamamlanmas\u0131 s\u0131radan k-katl\u0131 \u00e7apraz do\u011frulamadan daha uzun s\u00fcrer.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bir-D\u0131\u015far\u0131da B\u0131rakma \u00c7apraz Do\u011frulamas\u0131:<\/strong> Bu, <em>k<\/em> = <em>n<\/em> olan k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n \u00f6zel bir durumudur. Bu y\u00f6ntem hakk\u0131nda daha fazla bilgiyi <a href=\"https:\/\/statorials.org\/tr\/tek-bir-capraz-dogrulama-birakin\/\" target=\"_blank\" rel=\"noopener noreferrer\">buradan<\/a> edinebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Katmanl\u0131 k-katl\u0131 \u00e7apraz do\u011frulama:<\/strong> Bu, veri k\u00fcmesinin her kat\u0131n b\u00fct\u00fcn\u00fc temsil edecek \u015fekilde yeniden d\u00fczenlendi\u011fi k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n bir versiyonudur. <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&#8217;nin<\/a> belirtti\u011fi gibi bu y\u00f6ntem, s\u0131radan k-katl\u0131 \u00e7apraz do\u011frulamayla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00f6nyarg\u0131 ve varyans aras\u0131nda daha iyi bir denge sa\u011flama e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130\u00e7 \u0130\u00e7e \u00c7apraz Do\u011frulama:<\/strong> Buras\u0131, her \u00e7apraz do\u011frulama kat\u0131nda k-katl\u0131 \u00e7apraz do\u011frulaman\u0131n ger\u00e7ekle\u015ftirildi\u011fi yerdir. Bu genellikle model de\u011ferlendirmesi s\u0131ras\u0131nda hiperparametre ayarlamas\u0131 yapmak i\u00e7in kullan\u0131l\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 \u00f6l\u00e7menin en yayg\u0131n yolu, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan ortalama karesel hatan\u0131n (MSE) kullan\u0131lmas\u0131d\u0131r: MSE = (1\/n)*\u03a3(y ben \u2013 f(x ben )) 2 Alt\u0131n: n: toplam g\u00f6zlem say\u0131s\u0131 y i : i&#8217;inci g\u00f6zlemin yan\u0131t de\u011feri f(x i [&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-1176","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>K-Katlamal\u0131 \u00c7apraz Do\u011frulama i\u00e7in Basit Bir K\u0131lavuz - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde model performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem olan k-katl\u0131 \u00e7apraz do\u011frulamaya giri\u015f sa\u011flar.\" \/>\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\/tr\/k-kat-capraz-dogrulama\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K-Katlamal\u0131 \u00c7apraz Do\u011frulama i\u00e7in Basit Bir K\u0131lavuz - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde model performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem olan k-katl\u0131 \u00e7apraz do\u011frulamaya giri\u015f sa\u011flar.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T09:50:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\",\"url\":\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\",\"name\":\"K-Katlamal\u0131 \u00c7apraz Do\u011frulama i\u00e7in Basit Bir K\u0131lavuz - 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