{"id":1209,"date":"2023-07-27T07:03:03","date_gmt":"2023-07-27T07:03:03","guid":{"rendered":"https:\/\/statorials.org\/tr\/kismi-en-kucuk-kareler\/"},"modified":"2023-07-27T07:03:03","modified_gmt":"2023-07-27T07:03:03","slug":"kismi-en-kucuk-kareler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kismi-en-kucuk-kareler\/","title":{"rendered":"K\u0131smi en k\u00fc\u00e7\u00fck karelere giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Makine \u00f6\u011freniminde kar\u015f\u0131la\u015faca\u011f\u0131n\u0131z en yayg\u0131n 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 oldu\u011funda, bir model bir e\u011fitim veri setine iyi uyum sa\u011flayabilir, ancak e\u011fitim veri setine <a href=\"https:\/\/statorials.org\/tr\/makine-ogrenimi-asiri-uyumu\/\" target=\"_blank\" rel=\"noopener noreferrer\">fazla uyum<\/a> sa\u011flad\u0131\u011f\u0131 i\u00e7in daha \u00f6nce g\u00f6rmedi\u011fi yeni bir veri setinde d\u00fc\u015f\u00fck performans g\u00f6sterebilir. E\u011fitim Seti.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusall\u0131k problemini a\u015fman\u0131n bir yolu, orijinal <em>p<\/em> tahmin de\u011fi\u015fkenlerinin <em>M<\/em> do\u011frusal kombinasyonunu (&#8220;temel bile\u015fenler&#8221; olarak adland\u0131r\u0131l\u0131r) hesaplayan ve daha sonra prensip kullanarak bir do\u011frusal regresyon modeline uymak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullanan <a href=\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">temel bile\u015fenler regresyonunu<\/a> kullanmakt\u0131r. tahmin edici olarak bile\u015fenler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Temel bile\u015fen regresyonunun (PCR) dezavantaj\u0131, temel bile\u015fenler hesaplan\u0131rken <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkenini<\/a> dikkate almamas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">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. Bu nedenle baz\u0131 durumlarda sapmalar\u0131 en b\u00fcy\u00fck olan temel bile\u015fenlerin yan\u0131t de\u011fi\u015fkenini iyi tahmin edememesi m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">PCR ile ilgili bir teknik, <strong>k\u0131smi en k\u00fc\u00e7\u00fck kareler<\/strong> olarak bilinir. K\u0131smi en k\u00fc\u00e7\u00fck kareler, PCR&#8217;ye benzer \u015fekilde, orijinal <em>p<\/em> tahmin de\u011fi\u015fkenlerinin <em>M<\/em> do\u011frusal kombinasyonunu (&#8220;PLS bile\u015fenleri&#8221; olarak adland\u0131r\u0131l\u0131r) hesaplar ve tahmin edici olarak PLS bile\u015fenlerini kullanan do\u011frusal bir regresyon modeline uymak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak PCR&#8217;den farkl\u0131 olarak k\u0131smi en k\u00fc\u00e7\u00fck kareler, <em>hem<\/em> yan\u0131t de\u011fi\u015fkenindeki hem de \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenlerdeki varyasyonu a\u00e7\u0131klayan do\u011frusal kombinasyonlar\u0131 bulmaya \u00e7al\u0131\u015f\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K\u0131smi En K\u00fc\u00e7\u00fck Kareler Ger\u00e7ekle\u015ftirme Ad\u0131mlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uygulamada k\u0131smi en k\u00fc\u00e7\u00fck kareler ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong><\/span> <span style=\"color: #000000;\">T\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenlerin ve yan\u0131t de\u011fi\u015fkeninin ortalamas\u0131 0 ve standart sapmas\u0131 1 olacak \u015fekilde verileri standartla\u015ft\u0131r\u0131n. Bu, her de\u011fi\u015fkenin ayn\u0131 \u00f6l\u00e7ekte \u00f6l\u00e7\u00fclmesini sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Orijinal <em>p<\/em> tahmin edicilerinin <em>M<\/em> do\u011frusal kombinasyonlar\u0131 olarak Z <sub>1<\/sub> , \u2026 , Z <sub>M&#8217;yi<\/sub> 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&#8217;i<\/sub> hesaplamak i\u00e7in \u03a6 <sub>j1&#8217;i<\/sub> , Y&#8217;nin X <sub>j<\/sub> \u00fczerindeki basit do\u011frusal regresyonunun katsay\u0131s\u0131na e\u015fit olarak ayarlay\u0131n; bu, m\u00fcmk\u00fcn oldu\u011fu kadar \u00e7ok varyans\u0131 yakalayan tahmin edicilerin do\u011frusal birle\u015fimidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Z <sub>2&#8217;yi<\/sub> hesaplamak i\u00e7in her de\u011fi\u015fkeni Z <sub>1<\/sub> \u00fczerinde regresyonlay\u0131n ve art\u0131klar\u0131 al\u0131n. Daha sonra bu dikle\u015ftirilmi\u015f verileri kullanarak Z <sub>2&#8217;yi<\/sub> tam olarak Z <sub>1&#8217;in<\/sub> hesapland\u0131\u011f\u0131 \u015fekilde hesaplay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>M<\/em> PLS bile\u015fenlerini elde etmek i\u00e7in bu i\u015flemi <em>M<\/em> kez tekrarlay\u0131n.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> PLS bile\u015fenlerini Z <sub>1<\/sub> , \u2026 , Z <sub>M&#8217;yi<\/sub> \u00f6ng\u00f6r\u00fcc\u00fc olarak kullanarak do\u011frusal bir regresyon modeli uydurmak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4.<\/strong> Son olarak,<\/span> <span style=\"color: #000000;\">modelde tutulacak en uygun PLS bile\u015feni 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\u0131n. Tutulmas\u0131 gereken &#8220;optimal&#8221; PLS bile\u015feni say\u0131s\u0131 genellikle en d\u00fc\u015f\u00fck test ortalama kare hatas\u0131n\u0131 (MSE) \u00fcreten say\u0131d\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri setinde \u00e7oklu do\u011frusall\u0131\u011f\u0131n mevcut oldu\u011fu durumlarda, k\u0131smi en k\u00fc\u00e7\u00fck kareler regresyonu, 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<p> <span style=\"color: #000000;\">Uygulamada, bir\u00e7ok farkl\u0131 model t\u00fcr\u00fcn\u00fc (PLS, <a href=\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">PCR<\/a> , <a href=\"https:\/\/statorials.org\/tr\/sirtin-gerilemesi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Ridge<\/a> , <a href=\"https:\/\/statorials.org\/tr\/kement-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Lasso<\/a> , <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">Multiple Linear Regression<\/a> , vb.) bir veri k\u00fcmesine s\u0131\u011fd\u0131r\u0131yoruz ve MSE testini en iyi \u00fcreten modeli belirlemek i\u00e7in k-katl\u0131 \u00e7apraz do\u011frulamay\u0131 kullan\u0131yoruz. yeni verilerde daha d\u00fc\u015f\u00fck. .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Makine \u00f6\u011freniminde kar\u015f\u0131la\u015faca\u011f\u0131n\u0131z en yayg\u0131n 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 oldu\u011funda, bir model bir e\u011fitim veri setine iyi uyum sa\u011flayabilir, ancak e\u011fitim veri setine fazla uyum sa\u011flad\u0131\u011f\u0131 i\u00e7in daha \u00f6nce g\u00f6rmedi\u011fi yeni bir veri setinde d\u00fc\u015f\u00fck [&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-1209","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\u0131smi En K\u00fc\u00e7\u00fck Karelere Giri\u015f - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, makine \u00f6\u011freniminde kullan\u0131lan yayg\u0131n bir boyut azaltma tekni\u011fi olan k\u0131smi en k\u00fc\u00e7\u00fck karelere giri\u015f sa\u011flanmaktad\u0131r.\" \/>\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\/kismi-en-kucuk-kareler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K\u0131smi En K\u00fc\u00e7\u00fck Karelere Giri\u015f - 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