{"id":1201,"date":"2023-07-27T07:44:59","date_gmt":"2023-07-27T07:44:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/"},"modified":"2023-07-27T07:44:59","modified_gmt":"2023-07-27T07:44:59","slug":"temel-bilesenler-regresyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/","title":{"rendered":"Temel bile\u015fen regresyonuna giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Model olu\u015ftururken en s\u0131k kar\u015f\u0131la\u015faca\u011f\u0131n\u0131z sorunlardan biri <a href=\"https:\/\/statorials.org\/tr\/coklu-baglanti-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7oklu ba\u011flant\u0131d\u0131r<\/a> . Bu, bir veri setindeki iki veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenin y\u00fcksek d\u00fczeyde korelasyona sahip olmas\u0131 durumunda ortaya \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu ger\u00e7ekle\u015fti\u011finde, belirli bir model bir e\u011fitim veri setine iyi uyum sa\u011flayabilir, ancak e\u011fitim setine <a href=\"https:\/\/statorials.org\/tr\/makine-ogrenimi-asiri-uyumu\/\" target=\"_blank\" rel=\"noopener noreferrer\">gere\u011finden fazla<\/a> uyum sa\u011flad\u0131\u011f\u0131 i\u00e7in daha \u00f6nce hi\u00e7 g\u00f6rmedi\u011fi yeni bir veri setinde muhtemelen k\u00f6t\u00fc performans g\u00f6sterecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015f\u0131r\u0131 uyumdan ka\u00e7\u0131nman\u0131n bir yolu, a\u015fa\u011f\u0131daki gibi bir t\u00fcr <strong>alt k\u00fcme se\u00e7im<\/strong> y\u00f6ntemi kullanmakt\u0131r:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/alt-kumelerin-en-iyi-secimi\/\" target=\"_blank\" rel=\"noopener noreferrer\">En iyi alt k\u00fcme se\u00e7imi<\/a><\/li>\n<li><a href=\"https:\/\/statorials.org\/tr\/asamalara-gore-secim\/\" target=\"_blank\" rel=\"noopener noreferrer\">A\u015famal\u0131 se\u00e7im<\/a><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemler, ilgisiz \u00f6ng\u00f6r\u00fcc\u00fcleri modelden \u00e7\u0131karmaya \u00e7al\u0131\u015f\u0131r, b\u00f6ylece yaln\u0131zca yan\u0131t de\u011fi\u015fkenindeki de\u011fi\u015fimi tahmin edebilen en \u00f6nemli yorday\u0131c\u0131lar son modelde kal\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015f\u0131r\u0131 uyumdan ka\u00e7\u0131nman\u0131n ba\u015fka bir yolu da a\u015fa\u011f\u0131daki gibi bir t\u00fcr <strong>d\u00fczenlile\u015ftirme<\/strong> y\u00f6ntemi kullanmakt\u0131r:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/sirtin-gerilemesi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Zirve regresyonu<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/kement-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Kement regresyonu<\/a><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemler, varyans\u0131 azaltmak i\u00e7in bir modelin katsay\u0131lar\u0131n\u0131 k\u0131s\u0131tlamaya veya <em>d\u00fczenlemeye<\/em> \u00e7al\u0131\u015f\u0131r ve b\u00f6ylece yeni verilere iyi genelleme yapabilen modeller \u00fcretir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusall\u0131kla ba\u015f etmeye y\u00f6nelik tamamen farkl\u0131 bir yakla\u015f\u0131m, <strong>boyut indirgeme<\/strong> olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Boyut azaltman\u0131n yayg\u0131n bir y\u00f6ntemi, <strong>temel bile\u015fen regresyonu<\/strong> olarak bilinir ve \u015fu \u015fekilde \u00e7al\u0131\u015f\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Belirli <sub>bir<\/sub> veri setinin <em>p<\/em> <sub>tahmin edici<\/sub> i\u00e7erdi\u011fini varsayal\u0131m <sub>:<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Z <sub>1<\/sub> , \u2026 , Z <sub>M&#8217;yi<\/sub> orijinal <em>p<\/em> tahmincilerinin <em>M<\/em> do\u011frusal kombinasyonlar\u0131 olarak hesaplay\u0131n.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><sub>Z<\/sub> <sub>m<\/sub> <sub>=<\/sub> <sub>\u03a3\u03a6<\/sub> <sub>jm<\/sub> <sub>_<\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\">Z <sub>1<\/sub> , m\u00fcmk\u00fcn oldu\u011fu kadar \u00e7ok varyans\u0131 yakalayan tahmin edicilerin do\u011frusal birle\u015fimidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>Z2,<\/sub> <sub>Z1&#8217;e<\/sub> <em>dik<\/em> (yani ili\u015fkisiz) iken en fazla varyans\u0131 yakalayan tahmin edicilerin bir sonraki do\u011frusal kombinasyonudur.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu durumda <sub>Z3,<\/sub> <sub>Z2&#8217;ye<\/sub> dik iken en fazla varyans\u0131 yakalayan tahmin edicilerin bir sonraki do\u011frusal kombinasyonudur.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u0130lk <em>M<\/em> temel bile\u015fenleri Z <sub>1<\/sub> , \u2026, Z <sub>M&#8217;yi<\/sub> yorday\u0131c\u0131 olarak kullanarak do\u011frusal bir regresyon modelini uydurmak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Boyut azaltma<\/strong> terimi, bu y\u00f6ntemin, M &lt; p oldu\u011fu p+1 katsay\u0131lar\u0131 yerine yaln\u0131zca M+1 katsay\u0131lar\u0131n\u0131 tahmin etmesi gerekti\u011fi ger\u00e7e\u011finden kaynaklanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani sorunun <em>boyutu<\/em> p+1&#8217;den M+1&#8217;e d\u00fc\u015f\u00fcr\u00fcld\u00fc.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri setinde \u00e7oklu do\u011frusall\u0131\u011f\u0131n mevcut oldu\u011fu bir\u00e7ok durumda, temel bile\u015fen regresyonu, yeni verilere geleneksel <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7oklu do\u011frusal regresyondan<\/a> daha iyi genelle\u015ftirilebilen bir model \u00fcretebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Temel Bile\u015fen Regresyonunu Ger\u00e7ekle\u015ftirme Ad\u0131mlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uygulamada, temel bile\u015fenler regresyonunu ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Tahminleri standartla\u015ft\u0131r\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, tipik olarak verileri, her yorday\u0131c\u0131 de\u011fi\u015fkenin ortalama de\u011feri 0 ve standart sapmas\u0131 1 olacak \u015fekilde standartla\u015ft\u0131r\u0131r\u0131z. Bu, \u00f6zellikle farkl\u0131 birimlerle \u00f6l\u00e7\u00fcl\u00fcyorsa (c, yani <sub>1<\/sub> ise), bir yorday\u0131c\u0131n\u0131n \u00e7ok fazla etkiye sahip olmas\u0131n\u0131 engeller. in\u00e7 cinsinden \u00f6l\u00e7\u00fcl\u00fcr). ve <sub>X2<\/sub> yarda cinsinden \u00f6l\u00e7\u00fcl\u00fcr).<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Temel bile\u015fenleri hesaplay\u0131n ve temel bile\u015fenleri yorday\u0131c\u0131 olarak kullanarak do\u011frusal bir regresyon ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, temel bile\u015fenleri hesapl\u0131yoruz ve ilk <em>M<\/em> temel bile\u015fenleri Z <sub>1<\/sub> , &#8230;, Z <sub>M&#8217;yi<\/sub> tahmin edici olarak kullanarak do\u011frusal bir regresyon modeline uymak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullan\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Ka\u00e7 ana bile\u015fenin tutulaca\u011f\u0131na karar verin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, modelde tutulacak en uygun temel bile\u015fen say\u0131s\u0131n\u0131 bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-katl\u0131 \u00e7apraz do\u011frulamay\u0131<\/a> kullan\u0131r\u0131z. Tutulmas\u0131 gereken &#8220;optimal&#8221; temel bile\u015fen say\u0131s\u0131 genellikle testin en d\u00fc\u015f\u00fck ortalama kare hatas\u0131n\u0131 (MSE) \u00fcreten say\u0131d\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Temel Bile\u015fen Regresyonunun Avantajlar\u0131 ve Dezavantajlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Temel bile\u015fen regresyonu (PCR) a\u015fa\u011f\u0131daki <strong>avantajlar\u0131<\/strong> sunar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">PCR, ilk temel bile\u015fenler, \u00f6ng\u00f6r\u00fcc\u00fclerdeki varyasyonun \u00e7o\u011funu ve yan\u0131t de\u011fi\u015fkeniyle ili\u015fkiyi yakalayabildi\u011finde iyi performans g\u00f6sterme e\u011filimindedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">PCR, \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenler y\u00fcksek derecede korelasyonlu oldu\u011funda bile iyi performans g\u00f6sterebilir \u00e7\u00fcnk\u00fc birbirine dik (yani korelasyonsuz) temel bile\u015fenler \u00fcretir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">PCR, her temel bile\u015fen t\u00fcm \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenlerin do\u011frusal bir kombinasyonunu kulland\u0131\u011f\u0131ndan, modelden hangi \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenlerin \u00e7\u0131kar\u0131laca\u011f\u0131n\u0131 se\u00e7menizi gerektirmez.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7oklu do\u011frusal regresyonun aksine, PCR, g\u00f6zlemlerden daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken oldu\u011funda kullan\u0131labilir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ancak PCR&#8217;nin bir <strong>dezavantaj\u0131 vard\u0131r:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">PCR, hangi ana bile\u015fenlerin tutulaca\u011f\u0131na veya \u00e7\u0131kar\u0131laca\u011f\u0131na karar verirken yan\u0131t de\u011fi\u015fkenini dikkate almaz. Bunun yerine, yaln\u0131zca temel bile\u015fenler taraf\u0131ndan yakalanan yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131ndaki varyans\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc dikkate al\u0131r. Baz\u0131 durumlarda en b\u00fcy\u00fck farklara sahip temel bile\u015fenlerin yan\u0131t de\u011fi\u015fkenini iyi tahmin edememesi m\u00fcmk\u00fcnd\u00fcr.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Uygulamada, bir\u00e7ok farkl\u0131 model t\u00fcr\u00fcn\u00fc (PCR, Ridge, Lasso, \u00e7oklu do\u011frusal regresyon vb.) yerle\u015ftiririz ve yeni veriler \u00fczerinde en d\u00fc\u015f\u00fck MSE testini \u00fcreten modeli belirlemek i\u00e7in k-katl\u0131 \u00e7apraz do\u011frulamay\u0131 kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal veri setinde \u00e7oklu ba\u011flant\u0131n\u0131n mevcut oldu\u011fu durumlarda (ki bu genellikle b\u00f6yledir), PCR s\u0131radan en k\u00fc\u00e7\u00fck kareler regresyonundan daha iyi performans g\u00f6sterme e\u011filimindedir. Ancak, hangisinin g\u00f6r\u00fcnmeyen verilere en iyi \u015fekilde genelle\u015ftirildi\u011fini belirleyebilmeniz i\u00e7in birka\u00e7 farkl\u0131 modele uymak iyi bir fikirdir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ar-Ge ve Python&#8217;da Temel Bile\u015fen Regresyonu<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler R ve Python&#8217;da temel bile\u015fen regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-ana-bilesenlerin-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Model olu\u015ftururken en s\u0131k kar\u015f\u0131la\u015faca\u011f\u0131n\u0131z sorunlardan biri \u00e7oklu ba\u011flant\u0131d\u0131r . Bu, bir veri setindeki iki veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenin y\u00fcksek d\u00fczeyde korelasyona sahip olmas\u0131 durumunda ortaya \u00e7\u0131kar. Bu ger\u00e7ekle\u015fti\u011finde, belirli bir model bir e\u011fitim veri setine iyi uyum sa\u011flayabilir, ancak e\u011fitim setine gere\u011finden fazla uyum sa\u011flad\u0131\u011f\u0131 i\u00e7in daha \u00f6nce hi\u00e7 g\u00f6rmedi\u011fi yeni bir veri [&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-1201","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>Temel Bile\u015fen Regresyonuna Giri\u015f<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde kullan\u0131lan yayg\u0131n bir teknik olan temel bile\u015fen regresyonuna h\u0131zl\u0131 bir 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\/temel-bilesenler-regresyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Temel Bile\u015fen Regresyonuna Giri\u015f\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde kullan\u0131lan yayg\u0131n bir teknik olan temel bile\u015fen regresyonuna h\u0131zl\u0131 bir giri\u015f sa\u011flar.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T07:44:59+00:00\" \/>\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\/temel-bilesenler-regresyonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/\",\"name\":\"Temel Bile\u015fen Regresyonuna Giri\u015f\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T07:44:59+00:00\",\"dateModified\":\"2023-07-27T07:44:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitim, makine \u00f6\u011freniminde kullan\u0131lan yayg\u0131n bir teknik olan temel bile\u015fen regresyonuna h\u0131zl\u0131 bir giri\u015f sa\u011flar.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Temel bile\u015fen regresyonuna giri\u015f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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