{"id":1036,"date":"2023-07-27T21:50:46","date_gmt":"2023-07-27T21:50:46","guid":{"rendered":"https:\/\/statorials.org\/tr\/cimri-model\/"},"modified":"2023-07-27T21:50:46","modified_gmt":"2023-07-27T21:50:46","slug":"cimri-model","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cimri-model\/","title":{"rendered":"Cimri bir model nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Cimri bir model,<\/strong> m\u00fcmk\u00fcn oldu\u011fu kadar az <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken<\/a> kullanarak istenen uyum seviyesine ula\u015fan modeldir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr bir modelin arkas\u0131ndaki mant\u0131k, en basit a\u00e7\u0131klaman\u0131n muhtemelen do\u011fru oldu\u011funu s\u00f6yleyen <a href=\"https:\/\/en.wikipedia.org\/wiki\/Occam%27s_razor\" target=\"_blank\" rel=\"noopener noreferrer\">Occam&#8217;\u0131n usturas\u0131<\/a> (bazen &#8220;tutumluluk ilkesi&#8221; olarak da adland\u0131r\u0131l\u0131r) fikrinden kaynaklanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistiklere uyguland\u0131\u011f\u0131nda, az say\u0131da parametresi olan ancak tatmin edici d\u00fczeyde uyum sa\u011flayan bir model, tonlarca parametresi olan ve yaln\u0131zca biraz daha y\u00fcksek d\u00fczeyde uyum sa\u011flayan bir modele tercih edilmelidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun iki nedeni var:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Tutumlu modellerin yorumlanmas\u0131 ve anla\u015f\u0131lmas\u0131 daha kolayd\u0131r.<\/strong> Daha az parametreye sahip modellerin anla\u015f\u0131lmas\u0131 ve a\u00e7\u0131klanmas\u0131 daha kolayd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Tutumlu modeller daha b\u00fcy\u00fck tahmin yetene\u011fine sahip olma e\u011filimindedir.<\/strong> Daha az parametreye sahip modeller, yeni verilere uyguland\u0131\u011f\u0131nda daha iyi performans g\u00f6sterme e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu fikirleri a\u00e7\u0131klamak i\u00e7in a\u015fa\u011f\u0131daki iki \u00f6rne\u011fi inceleyin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Tutumlu modeller = Kolay yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Gayrimenkul fiyatlar\u0131n\u0131 tahmin etmek i\u00e7in gayrimenkulle ilgili bir dizi a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkeni kullanarak bir model olu\u015fturmak istedi\u011fimizi varsayal\u0131m. Ayarlanm\u0131\u015f R-kareleriyle a\u015fa\u011f\u0131daki iki modeli g\u00f6z \u00f6n\u00fcnde bulundurun:<br \/><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Model 1:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Denklem:<\/strong> Ev fiyat\u0131 = 8.830 + 81*(feet kare)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>D\u00fczeltilmi\u015f <sup>R2<\/sup> :<\/strong> 0,7734<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Model 2:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Denklem:<\/strong> Ev fiyat\u0131 = 8.921 + 77*(feet kare) + 7*(feet kare) <sup>2<\/sup> \u2013 9*(ya\u015f) + 600*(yatak odas\u0131) + 38*(banyo)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>D\u00fczeltilmi\u015f <sup>R2<\/sup> :<\/strong> 0,7823<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130lk model yaln\u0131zca bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkene ve 0,7734&#8217;l\u00fck d\u00fczeltilmi\u015f <sup>R2&#8217;ye<\/sup> sahiptir; ikinci model ise biraz daha y\u00fcksek d\u00fczeltilmi\u015f <sup>R2&#8217;ye<\/sup> sahip be\u015f a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkene sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutumluluk ilkesine dayanarak, ilk modeli kullanmay\u0131 tercih edece\u011fiz \u00e7\u00fcnk\u00fc her model, ev fiyatlar\u0131ndaki de\u011fi\u015fimi a\u00e7\u0131klama konusunda yakla\u015f\u0131k olarak ayn\u0131 yetene\u011fe sahiptir ancak ilk modelin anla\u015f\u0131lmas\u0131 ve a\u00e7\u0131klanmas\u0131 <em>\u00e7ok<\/em> daha kolayd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin ilk modelde bir evin metrekaresindeki bir birimlik art\u0131\u015f\u0131n ortalama 81 dolarl\u0131k konut fiyat\u0131 art\u0131\u015f\u0131yla ili\u015fkili oldu\u011funu biliyoruz. Anla\u015f\u0131lmas\u0131 ve anlat\u0131lmas\u0131 basittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak ikinci \u00f6rnekte katsay\u0131 tahminlerinin yorumlanmas\u0131 \u00e7ok daha zordur. \u00d6rne\u011fin, evin metrekaresi, ya\u015f\u0131 ve banyo say\u0131s\u0131n\u0131n sabit kald\u0131\u011f\u0131 varsay\u0131ld\u0131\u011f\u0131nda, evde fazladan bir oda bulunmas\u0131 ev fiyat\u0131nda ortalama 600 dolarl\u0131k bir art\u0131\u015fla ili\u015fkilidir. Anlamak ve anlatmak \u00e7ok daha zordur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Tutumlu modeller = daha iyi tahminler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">K\u0131smi modeller ayn\u0131 zamanda yeni veri k\u00fcmeleri \u00fczerinde daha do\u011fru tahminler yapma e\u011filimindedir \u00e7\u00fcnk\u00fc orijinal veri k\u00fcmesine <em><a href=\"https:\/\/statorials.org\/tr\/makine-ogrenimi-asiri-uyumu\/\" target=\"_blank\" rel=\"noopener noreferrer\">uyma<\/a><\/em> olas\u0131l\u0131klar\u0131 daha d\u00fc\u015f\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak daha fazla parametreye sahip modeller, daha az parametreye sahip modellere g\u00f6re daha s\u0131k\u0131 uyum ve daha y\u00fcksek <sup>R2<\/sup> de\u011ferleri \u00fcretecektir. Ne yaz\u0131k ki, bir modele \u00e7ok fazla parametre dahil etmek, modelin, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler aras\u0131ndaki ger\u00e7ek temel ili\u015fkiden ziyade, verinin g\u00fcr\u00fclt\u00fcs\u00fcne (veya &#8220;rastgeleli\u011fine&#8221;) g\u00f6re ayarlanmas\u0131na neden olabilir. ve yan\u0131t de\u011fi\u015fkenleri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bir\u00e7ok parametreye sahip \u00e7ok karma\u015f\u0131k bir modelin, daha az parametreye sahip daha basit bir modelle kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda, daha \u00f6nce hi\u00e7 g\u00f6r\u00fclmemi\u015f yeni bir veri k\u00fcmesinde muhtemelen d\u00fc\u015f\u00fck performans g\u00f6sterece\u011fi anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sade bir model nas\u0131l se\u00e7ilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Model se\u00e7imi<\/strong> konusuna ayr\u0131lm\u0131\u015f bir kursun tamam\u0131 olabilir, ancak esasen, cimri bir model se\u00e7mek, bir metri\u011fe g\u00f6re en iyi performans\u0131 g\u00f6steren modeli se\u00e7mek anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modelleri bir e\u011fitim veri k\u00fcmesindeki performanslar\u0131na <em>ve<\/em> parametre say\u0131s\u0131na g\u00f6re de\u011ferlendiren yayg\u0131n olarak kullan\u0131lan \u00f6l\u00e7\u00fcmler \u015funlar\u0131 i\u00e7erir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Akaike Bilgi Kriteri (AIC)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir modelin AIC&#8217;si \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>AIC = -2\/n * LL + 2 * k\/n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> e\u011fitim veri setindeki g\u00f6zlem say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>LL:<\/strong> modelin e\u011fitim veri k\u00fcmesindeki log olas\u0131l\u0131\u011f\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> Modeldeki parametre say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemi kullanarak her modelin AIC&#8217;sini hesaplayabilir ve ard\u0131ndan en d\u00fc\u015f\u00fck AIC de\u011ferine sahip modeli en iyi model olarak se\u00e7ebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu yakla\u015f\u0131m, bir sonraki y\u00f6ntem olan BIC ile kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda daha karma\u015f\u0131k modelleri tercih etme e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Bayes Bilgi Kriteri (BIC)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir modelin BIC&#8217;si \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>BIC = -2 * LL + log(n) * k<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> e\u011fitim veri setindeki g\u00f6zlem say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>log:<\/strong> Do\u011fal logaritma (e taban\u0131)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>LL:<\/strong> modelin e\u011fitim veri k\u00fcmesindeki log olas\u0131l\u0131\u011f\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> Modeldeki parametre say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemi kullanarak her modelin BIC&#8217;sini hesaplayabilir ve ard\u0131ndan en d\u00fc\u015f\u00fck BIC de\u011ferine sahip modeli en iyi model olarak se\u00e7ebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu yakla\u015f\u0131m, AIC y\u00f6ntemine k\u0131yasla daha az parametreye sahip modelleri tercih etme e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Minimum A\u00e7\u0131klama Uzunlu\u011fu (MDL)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">MDL, bilgi teorisi alan\u0131ndaki modelleri de\u011ferlendirmenin bir yoludur. A\u015fa\u011f\u0131daki \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MDL = L(h) + L(D | h)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>h:<\/strong> Model.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>D:<\/strong> Modelin yapt\u0131\u011f\u0131 tahminler.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>L(h):<\/strong> Modeli temsil etmek i\u00e7in gereken bit say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>L(D | h):<\/strong> modelin e\u011fitim verileri \u00fczerindeki tahminlerini temsil etmek i\u00e7in gereken bit say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemi kullanarak her modelin MDL&#8217;sini hesaplayabilir ve ard\u0131ndan MDL de\u011feri en d\u00fc\u015f\u00fck olan modeli en iyi model olarak se\u00e7ebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z problemin t\u00fcr\u00fcne ba\u011fl\u0131 olarak, basit bir model se\u00e7mek i\u00e7in bu y\u00f6ntemlerden biri (AIC, BIC veya MDL) di\u011ferlerine g\u00f6re tercih edilebilir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cimri bir model, m\u00fcmk\u00fcn oldu\u011fu kadar az a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken kullanarak istenen uyum seviyesine ula\u015fan modeldir. Bu t\u00fcr bir modelin arkas\u0131ndaki mant\u0131k, en basit a\u00e7\u0131klaman\u0131n muhtemelen do\u011fru oldu\u011funu s\u00f6yleyen Occam&#8217;\u0131n usturas\u0131 (bazen &#8220;tutumluluk ilkesi&#8221; olarak da adland\u0131r\u0131l\u0131r) fikrinden kaynaklanmaktad\u0131r. \u0130statistiklere uyguland\u0131\u011f\u0131nda, az say\u0131da parametresi olan ancak tatmin edici d\u00fczeyde uyum sa\u011flayan bir model, tonlarca parametresi olan [&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-1036","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>Cimri bir model nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere cimri modellerin basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/cimri-model\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cimri bir model nedir? - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere cimri modellerin basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/cimri-model\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T21:50:46+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\/cimri-model\/\",\"url\":\"https:\/\/statorials.org\/tr\/cimri-model\/\",\"name\":\"Cimri bir model nedir? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T21:50:46+00:00\",\"dateModified\":\"2023-07-27T21:50:46+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere cimri modellerin basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/cimri-model\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/cimri-model\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/cimri-model\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cimri bir model nedir?\"}]},{\"@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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