{"id":1179,"date":"2023-07-27T09:32:37","date_gmt":"2023-07-27T09:32:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/makine-ogrenimi-asiri-uyumu\/"},"modified":"2023-07-27T09:32:37","modified_gmt":"2023-07-27T09:32:37","slug":"makine-ogrenimi-asiri-uyumu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/makine-ogrenimi-asiri-uyumu\/","title":{"rendered":"Makine \u00f6\u011freniminde a\u015f\u0131r\u0131 uyum nedir? (a\u00e7\u0131klama ve \u00f6rnekler)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Makine \u00f6\u011freniminde, belirli olaylar hakk\u0131nda do\u011fru tahminlerde bulunabilmek i\u00e7in s\u0131kl\u0131kla modeller olu\u015ftururuz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, yan\u0131t de\u011fi\u015fkeninin lise \u00f6\u011frencilerine y\u00f6nelik <em>ACT puan\u0131n\u0131<\/em> tahmin etmek i\u00e7in <em>ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saat<\/em> tahmin de\u011fi\u015fkenini kullanan bir <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">regresyon modeli<\/a> olu\u015fturmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modeli olu\u015fturmak i\u00e7in, belirli bir okul b\u00f6lgesindeki y\u00fczlerce \u00f6\u011frencinin ders \u00e7al\u0131\u015fmak i\u00e7in harcad\u0131\u011f\u0131 saatlere ve buna kar\u015f\u0131l\u0131k gelen ACT puan\u0131na ili\u015fkin verileri toplayaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu verileri, belirli bir \u00f6\u011frencinin \u00e7al\u0131\u015f\u0131lan toplam saat say\u0131s\u0131na g\u00f6re alaca\u011f\u0131 puan hakk\u0131nda tahminlerde bulunabilecek bir model <em>geli\u015ftirmek<\/em> i\u00e7in kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modelin kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirmek i\u00e7in modelin tahminlerinin g\u00f6zlemlenen verilerle ne kadar iyi e\u015fle\u015fti\u011fini \u00f6l\u00e7ebiliriz. Bunu yapmak i\u00e7in en yayg\u0131n kullan\u0131lan \u00f6l\u00e7\u00fcmlerden biri, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan ortalama kare hatas\u0131d\u0131r (MSE):<\/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;\">Ancak makine \u00f6\u011freniminde yap\u0131lan en b\u00fcy\u00fck hatalardan biri, <strong>e\u011fitim MSE&#8217;sini<\/strong> , yani model tahminlerinin, modeli e\u011fitmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z verilerle ne kadar iyi e\u015fle\u015fti\u011fini azaltmak i\u00e7in modelleri optimize etmektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir model, e\u011fitim MSE&#8217;sini azaltmaya \u00e7ok fazla odakland\u0131\u011f\u0131nda, genellikle e\u011fitim verilerinde \u015fans eseri olu\u015fan kal\u0131plar\u0131 bulmak i\u00e7in \u00e7ok fazla \u00e7aba harcar. Daha sonra model g\u00f6r\u00fcnmeyen verilere uyguland\u0131\u011f\u0131nda performans\u0131 zay\u0131flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu olay <strong>a\u015f\u0131r\u0131 uyum<\/strong> olarak bilinir. Bu, bir modeli e\u011fitim verilerine \u00e7ok yak\u0131n &#8220;uydurdu\u011fumuzda&#8221; ve dolay\u0131s\u0131yla yeni veriler \u00fczerinde tahminler yapmak i\u00e7in kullan\u0131\u015fl\u0131 olmayan bir model olu\u015fturdu\u011fumuzda meydana gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>A\u015f\u0131r\u0131 uyum \u00f6rne\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015f\u0131r\u0131 uyumu anlamak i\u00e7in, <em>ACT puan\u0131n\u0131<\/em> tahmin etmek amac\u0131yla <em>\u00e7al\u0131\u015fmaya harcanan saatleri<\/em> kullanan bir regresyon modeli olu\u015fturma \u00f6rne\u011fine d\u00f6nelim.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli bir okul b\u00f6lgesindeki 100 \u00f6\u011frenci i\u00e7in veri toplad\u0131\u011f\u0131m\u0131z\u0131 ve iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirmek i\u00e7in h\u0131zl\u0131 bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturdu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11736 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/surapprentissage1.png\" alt=\"\" width=\"471\" height=\"443\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fki ikinci dereceden g\u00f6r\u00fcn\u00fcyor, dolay\u0131s\u0131yla a\u015fa\u011f\u0131daki ikinci dereceden regresyon modelini uygulad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Puan = 60,1 + 5,4*(Saat) \u2013 0,2*(Saat) <sup>2<\/sup><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11737 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/surapprentissage2.png\" alt=\"Makine \u00f6\u011freniminde a\u015f\u0131r\u0131 uyum\" width=\"472\" height=\"444\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu modelin e\u011fitim ortalama kare hatas\u0131 (MSE) <strong>3,45&#8217;tir<\/strong> . Yani modelin yapt\u0131\u011f\u0131 tahminler ile ger\u00e7ek ACT puanlar\u0131 aras\u0131ndaki karek\u00f6k ortalama fark\u0131 3,45&#8217;tir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak daha y\u00fcksek dereceli bir polinom modeli uydurarak bu e\u011fitim MSE&#8217;sini azaltabiliriz. \u00d6rne\u011fin a\u015fa\u011f\u0131daki modeli uygulad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Puan = 64,3 \u2013 7,1*(Saat) + 8,1*(Saat) <sup>2<\/sup> \u2013 2,1*(Saat) <sup>3<\/sup> + 0,2*(Saat <sup>) 4 \u2013 0,1*(Saat) 5<\/sup> <sup>+<\/sup> 0,2(Saat) <sup>6<\/sup><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11738 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/surapprentissage3.png\" alt=\"Bir modeli fazla takmak\" width=\"511\" height=\"480\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Regresyon \u00e7izgisinin ger\u00e7ek verilere nas\u0131l \u00f6nceki regresyon \u00e7izgisine g\u00f6re \u00e7ok daha yak\u0131n uydu\u011funa dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modelin e\u011fitim k\u00f6k ortalama kare hatas\u0131 (MSE) yaln\u0131zca <strong>0,89&#8217;dur<\/strong> . Yani modelin yapt\u0131\u011f\u0131 tahminler ile ger\u00e7ek ACT puanlar\u0131 aras\u0131ndaki karek\u00f6k ortalama fark\u0131 0,89&#8217;dur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu MSE e\u011fitimi \u00f6nceki modelin \u00fcretti\u011finden \u00e7ok daha k\u00fc\u00e7\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak <strong>MSE e\u011fitimiyle<\/strong> , yani modelin tahminlerinin, modeli e\u011fitmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z verilerle ne kadar iyi e\u015fle\u015fti\u011fiyle pek ilgilenmiyoruz. Bunun yerine, esas olarak <strong>MSE testini<\/strong> , yani modelimizin g\u00f6r\u00fcnmeyen verilere uyguland\u0131\u011f\u0131 MSE&#8217;yi \u00f6nemsiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki y\u00fcksek dereceli polinom regresyon modelini g\u00f6r\u00fcnmeyen bir veri k\u00fcmesine uygularsak, muhtemelen daha basit ikinci dereceden regresyon modelinden daha k\u00f6t\u00fc performans g\u00f6sterir. Yani daha y\u00fcksek bir MSE testi \u00fcretecektir ki bu da tam olarak istemedi\u011fimiz bir durumdur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>A\u015f\u0131r\u0131 uyum nas\u0131l tespit edilir ve \u00f6nlenir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015f\u0131r\u0131 uyumu tespit etmenin en basit yolu \u00e7apraz do\u011frulama yapmakt\u0131r. En s\u0131k kullan\u0131lan y\u00f6ntem <a href=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-katl\u0131 \u00e7apraz do\u011frulama<\/a> olarak bilinir ve \u015fu \u015fekilde \u00e7al\u0131\u015f\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<p> <span style=\"color: #000000;\">Bu MSE testi bize belirli bir modelin bilinmeyen veriler \u00fczerinde nas\u0131l performans g\u00f6sterece\u011fine dair iyi bir fikir verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada, birka\u00e7 farkl\u0131 model yerle\u015ftirebilir ve MSE testini bulmak i\u00e7in her model \u00fczerinde k-katl\u0131 \u00e7apraz do\u011frulama ger\u00e7ekle\u015ftirebiliriz. Daha sonra, gelecekte tahminlerde bulunmak i\u00e7in kullan\u0131lacak en iyi model olarak en d\u00fc\u015f\u00fck MSE testine sahip modeli se\u00e7ebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, e\u011fitim MSE&#8217;sini en aza indiren ve ge\u00e7mi\u015f verilere iyi &#8220;uyan&#8221; bir modelin aksine, gelecekteki verilerde en iyi performans\u0131 g\u00f6stermesi muhtemel bir modeli se\u00e7memizi sa\u011flar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/onyargi-varyansi-uzlasmasi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Makine \u00f6\u011freniminde \u00f6nyarg\u0131-varyans de\u011fi\u015fimi nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener noreferrer\">K-Fold \u00c7apraz Do\u011frulamaya Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\">Makine \u00f6\u011frenmesinde regresyon ve s\u0131n\u0131fland\u0131rma modelleri<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Makine \u00f6\u011freniminde, belirli olaylar hakk\u0131nda do\u011fru tahminlerde bulunabilmek i\u00e7in s\u0131kl\u0131kla modeller olu\u015ftururuz. \u00d6rne\u011fin, yan\u0131t de\u011fi\u015fkeninin lise \u00f6\u011frencilerine y\u00f6nelik ACT puan\u0131n\u0131 tahmin etmek i\u00e7in ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saat tahmin de\u011fi\u015fkenini kullanan bir regresyon modeli olu\u015fturmak istedi\u011fimizi varsayal\u0131m. Bu modeli olu\u015fturmak i\u00e7in, belirli bir okul b\u00f6lgesindeki y\u00fczlerce \u00f6\u011frencinin ders \u00e7al\u0131\u015fmak i\u00e7in harcad\u0131\u011f\u0131 saatlere ve buna kar\u015f\u0131l\u0131k [&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-1179","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>Makine \u00f6\u011freniminde a\u015f\u0131r\u0131 uyum nedir? 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