{"id":1172,"date":"2023-07-27T10:08:35","date_gmt":"2023-07-27T10:08:35","guid":{"rendered":"https:\/\/statorials.org\/tr\/tek-bir-capraz-dogrulama-birakin\/"},"modified":"2023-07-27T10:08:35","modified_gmt":"2023-07-27T10:08:35","slug":"tek-bir-capraz-dogrulama-birakin","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tek-bir-capraz-dogrulama-birakin\/","title":{"rendered":"Birini d\u0131\u015far\u0131da b\u0131rakma \u00e7apraz do\u011frulamas\u0131na (loocv) h\u0131zl\u0131 bir giri\u015f"},"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><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11686 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loocv1.png\" alt=\"Makine \u00f6\u011frenimi e\u011fitimi ve testi\" width=\"397\" height=\"442\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Yaln\u0131zca e\u011fitim setindeki verileri kullanarak modeli olu\u015fturun.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11688 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loocv2.png\" alt=\"Makine \u00f6\u011freniminde LOOCV\" width=\"610\" height=\"464\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Test seti hakk\u0131nda tahminlerde bulunmak ve MSE&#8217;yi \u00f6l\u00e7mek i\u00e7in modeli kullan\u0131n; buna <strong>test MSE<\/strong> denir. <img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11689 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loocv3.png\" alt=\"E\u011fitim veya test seti\" width=\"638\" height=\"484\" srcset=\"\" sizes=\"auto, \"><\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE testi bize bir modelin daha \u00f6nce g\u00f6rmedi\u011fi verilerde, yani modeli &#8220;e\u011fitmek&#8221; i\u00e7in kullan\u0131lmam\u0131\u015f verilerde ne kadar iyi performans g\u00f6sterdi\u011fine dair bir fikir verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">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;\">E\u011fitim seti ve test seti i\u00e7in farkl\u0131 bir g\u00f6zlem seti kullan\u0131rsak, test MSE&#8217;mizin \u00e7ok daha b\u00fcy\u00fck veya daha k\u00fc\u00e7\u00fck olmas\u0131 m\u00fcmk\u00fcnd\u00fcr.<\/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 <strong>, Birini D\u0131\u015far\u0131da B\u0131rakma \u00e7apraz do\u011frulama<\/strong> olarak bilinir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir \u00c7\u0131k\u0131\u015fta \u00c7apraz Do\u011frulama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Birini d\u0131\u015far\u0131da b\u0131rakma \u00e7apraz do\u011frulamas\u0131,<\/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>1.<\/strong> Biri hari\u00e7 t\u00fcm g\u00f6zlemleri e\u011fitim setinin bir par\u00e7as\u0131 olarak kullanarak, bir veri setini bir e\u011fitim seti ve bir test setine b\u00f6l\u00fcn:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11692 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loocv4.png\" alt=\"LOOCV\" width=\"448\" height=\"486\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">E\u011fitim setinin &#8220;d\u0131\u015f\u0131nda&#8221; yaln\u0131zca bir g\u00f6zlem b\u0131rakt\u0131\u011f\u0131m\u0131z\u0131 unutmay\u0131n. Y\u00f6ntemin &#8220;birini d\u0131\u015far\u0131da b\u0131rak&#8221; \u00e7apraz do\u011frulama ad\u0131n\u0131 ald\u0131\u011f\u0131 yer buras\u0131d\u0131r.<\/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><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11693 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loocv5.png\" alt=\"LOOCV yakla\u015f\u0131m\u0131yla bir model olu\u015fturmak\" width=\"651\" height=\"495\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Modelin d\u0131\u015f\u0131nda b\u0131rak\u0131lan tek g\u00f6zlemin yan\u0131t de\u011ferini tahmin etmek i\u00e7in modeli kullan\u0131n ve MSE&#8217;yi hesaplay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11694 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loocv6.png\" alt=\"Uygulamas\u0131z \u00e7apraz do\u011frulama\" width=\"638\" height=\"481\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>4.<\/strong> \u0130\u015flemi <em>n<\/em> kez tekrarlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak, bu i\u015flemi <em>n<\/em> kez tekrarl\u0131yoruz (burada <em>n<\/em> , veri k\u00fcmesindeki toplam g\u00f6zlem say\u0131s\u0131d\u0131r), her seferinde e\u011fitim k\u00fcmesinden farkl\u0131 bir g\u00f6zlemi d\u0131\u015far\u0131da b\u0131rak\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra test MSE&#8217;sini t\u00fcm test MSE&#8217;lerinin ortalamas\u0131 olarak hesapl\u0131yoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MSE testi = (1\/n)*\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>n:<\/strong> veri k\u00fcmesindeki toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MSEi:<\/strong> <sup>i&#8217;inci<\/sup> model yerle\u015ftirme d\u00f6neminde yap\u0131lan MSE testi.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>LOOCV&#8217;nin avantajlar\u0131 ve dezavantajlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Birini d\u0131\u015far\u0131da b\u0131rakma \u00e7apraz do\u011frulamas\u0131 a\u015fa\u011f\u0131daki <strong>faydalar\u0131<\/strong> sa\u011flar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tek bir test seti kullanmaya k\u0131yasla MSE testinin \u00e7ok daha az tarafl\u0131 bir \u00f6l\u00e7\u00fcm\u00fcn\u00fc sa\u011flar \u00e7\u00fcnk\u00fc bir modeli tekrar tekrar <em>n-1<\/em> g\u00f6zlem i\u00e7eren bir veri setine yerle\u015ftiririz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Tek bir test seti kullanmaya k\u0131yasla testin MSE&#8217;sini oldu\u011fundan fazla tahmin etme e\u011filimi yoktur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bununla birlikte, m\u00fcdahalesiz \u00e7apraz do\u011frulaman\u0131n <strong>a\u015fa\u011f\u0131daki dezavantajlar\u0131 vard\u0131r:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>N<\/em> b\u00fcy\u00fck oldu\u011funda bu i\u015flemin kullan\u0131lmas\u0131 uzun zaman alabilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir modelin \u00f6zellikle karma\u015f\u0131k olmas\u0131 ve veri k\u00fcmesine s\u0131\u011fd\u0131r\u0131lmas\u0131n\u0131n uzun s\u00fcrmesi de zaman al\u0131c\u0131 olabilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu hesaplama a\u00e7\u0131s\u0131ndan pahal\u0131 olabilir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Neyse ki, modern bilgi i\u015flem \u00e7o\u011fu alanda o kadar verimli hale geldi ki, LOOCV&#8217;nin kullan\u0131m\u0131 y\u0131llar \u00f6ncesine g\u00f6re \u00e7ok daha makul bir y\u00f6ntem haline geldi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">LOOCV&#8217;nin <a href=\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\" target=\"_blank\" rel=\"noopener noreferrer\">regresyon ve s\u0131n\u0131fland\u0131rma<\/a> ba\u011flamlar\u0131nda da kullan\u0131labilece\u011fini unutmay\u0131n. Regresyon problemleri i\u00e7in, MSE testini tahminler ve g\u00f6zlemler aras\u0131ndaki ortalama kare fark\u0131n\u0131n k\u00f6k\u00fc olarak hesaplarken, s\u0131n\u0131fland\u0131rma problemlerinde MSE testini, modelin tekrarlanan <em>n<\/em> ayarlamas\u0131 \u00fczerinden do\u011fru \u015fekilde s\u0131n\u0131fland\u0131r\u0131lan g\u00f6zlemlerin y\u00fczdesi olarak hesaplar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>LOOCV R &amp; Python&#8217;da nas\u0131l \u00e7al\u0131\u015ft\u0131r\u0131l\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde, R ve Python&#8217;da belirli bir model i\u00e7in LOOCV&#8217;nin nas\u0131l \u00e7al\u0131\u015ft\u0131r\u0131laca\u011f\u0131na ili\u015fkin ad\u0131m ad\u0131m \u00f6rnekler verilmektedir:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-capraz-dogrulamayi-disarida-birakin\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de Birini D\u0131\u015far\u0131da B\u0131rakma \u00c7apraz Do\u011frulama<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-capraz-dogrulamadan-birinin-cikmasina-izin-ver\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da Birini D\u0131\u015far\u0131da B\u0131rakma \u00c7apraz Do\u011frulama<\/a><\/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-1172","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>Birini D\u0131\u015far\u0131da B\u0131rakma \u00c7apraz Do\u011frulamas\u0131na (LOOCV) H\u0131zl\u0131 Bir Giri\u015f<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde yayg\u0131n 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