{"id":1211,"date":"2023-07-27T06:54:42","date_gmt":"2023-07-27T06:54:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-en-az-kismi-kenarlar\/"},"modified":"2023-07-27T06:54:42","modified_gmt":"2023-07-27T06:54:42","slug":"pythonda-en-az-kismi-kenarlar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-en-az-kismi-kenarlar\/","title":{"rendered":"Python&#39;da k\u0131smi en k\u00fc\u00e7\u00fck kareler (ad\u0131m ad\u0131m)"},"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 ger\u00e7ekle\u015fti\u011finde, 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;\">Bu sorunu a\u015fman\u0131n bir yolu <a href=\"https:\/\/statorials.org\/tr\/kismi-en-kucuk-kareler\/\" target=\"_blank\" rel=\"noopener noreferrer\">, k\u0131smi en k\u00fc\u00e7\u00fck kareler<\/a> ad\u0131 verilen ve \u015fu \u015fekilde \u00e7al\u0131\u015fan bir y\u00f6ntem kullanmakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tahmin edici ve yan\u0131t de\u011fi\u015fkenlerini standartla\u015ft\u0131r\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Hem yan\u0131t de\u011fi\u015fkenindeki hem de yorday\u0131c\u0131 de\u011fi\u015fkenlerdeki \u00f6nemli miktarda varyasyonu a\u00e7\u0131klayan<\/span> <em style=\"color: #000000;\">p<\/em> orijinal yorday\u0131c\u0131 de\u011fi\u015fkenin <span style=\"color: #000000;\"><em>M<\/em> do\u011frusal kombinasyonunu (&#8220;PLS bile\u015fenleri&#8221; olarak adland\u0131r\u0131l\u0131r) hesaplay\u0131n<\/span> .<\/li>\n<li> <span style=\"color: #000000;\">Tahmin edici olarak PLS bile\u015fenlerini kullanarak do\u011frusal bir regresyon modeline uymak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullan\u0131n.<\/span><\/li>\n<li> <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.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da k\u0131smi en k\u00fc\u00e7\u00fck karelerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Gerekli paketleri i\u00e7e aktar\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130lk olarak Python&#8217;da k\u0131smi en k\u00fc\u00e7\u00fck kareler ger\u00e7ekle\u015ftirmek i\u00e7in gereken paketleri i\u00e7e aktaraca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n<span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">preprocessing<\/span> <span style=\"color: #008000;\">import<\/span> scale \n<span style=\"color: #008000;\">from<\/span> sklearn <span style=\"color: #008000;\">import<\/span> model_selection\n<span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">model_selection<\/span> <span style=\"color: #008000;\">import<\/span> RepeatedKFold\n<span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">model_selection<\/span> <span style=\"color: #008000;\">import<\/span> train_test_split\n<span style=\"color: #008000;\">from <span style=\"color: #000000;\">sklearn. <span style=\"color: #3366ff;\">cross_decomposition<\/span> <span style=\"color: #008000;\">import<\/span> PLSRegression<\/span>\n<span style=\"color: #008000;\">from<\/span> <span style=\"color: #000000;\">sklearn<\/span> . <span style=\"color: #3366ff;\">metrics<\/span> <span style=\"color: #008000;\">import<\/span> <span style=\"color: #000000;\">mean_squared_error\n<\/span><\/span><\/strong><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>2. Ad\u0131m: Verileri y\u00fckleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in <strong>mtcars<\/strong> ad\u0131 verilen ve 33 farkl\u0131 araba hakk\u0131nda bilgi i\u00e7eren bir veri k\u00fcmesi kullanaca\u011f\u0131z. Yan\u0131t de\u011fi\u015fkeni olarak <strong>hp&#8217;yi<\/strong> ve yorday\u0131c\u0131lar olarak a\u015fa\u011f\u0131daki de\u011fi\u015fkenleri kullanaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">mpg<\/span><\/li>\n<li> <span style=\"color: #000000;\">g\u00f6r\u00fcnt\u00fclemek<\/span><\/li>\n<li> <span style=\"color: #000000;\">bok<\/span><\/li>\n<li> <span style=\"color: #000000;\">a\u011f\u0131rl\u0131k<\/span><\/li>\n<li> <span style=\"color: #000000;\">qsec<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod bu veri k\u00fcmesinin nas\u0131l y\u00fcklenip g\u00f6r\u00fcnt\u00fclenece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define URL where data is located\n<\/span>url = \"https:\/\/raw.githubusercontent.com\/Statorials\/Python-Guides\/main\/mtcars.csv\"\n\n<span style=\"color: #008080;\">#read in data\n<\/span>data_full = pd. <span style=\"color: #3366ff;\">read_csv<\/span> (url)\n\n<span style=\"color: #008080;\">#select subset of data\n<\/span>data = data_full[[\"mpg\", \"disp\", \"drat\", \"wt\", \"qsec\", \"hp\"]]\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>data[0:6]\n\n\n        mpg disp drat wt qsec hp\n0 21.0 160.0 3.90 2.620 16.46 110\n1 21.0 160.0 3.90 2.875 17.02 110\n2 22.8 108.0 3.85 2.320 18.61 93\n3 21.4 258.0 3.08 3.215 19.44 110\n4 18.7 360.0 3.15 3.440 17.02 175\n5 18.1 225.0 2.76 3.460 20.22 105<\/strong><\/span><\/pre>\n<h3> <strong>Ad\u0131m 3: K\u0131smi en k\u00fc\u00e7\u00fck kareler modelini yerle\u015ftirin<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, PLS modelinin bu verilere nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>cv = RepeatedKFold()<\/strong> fonksiyonunun Python&#8217;a model performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-katl\u0131 \u00e7apraz do\u011frulama<\/a> kullanmas\u0131n\u0131 s\u00f6yledi\u011fini<\/span> <span style=\"color: #000000;\">unutmay\u0131n<\/span> . <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in k = 10 kat se\u00e7iyoruz, bu 3 kez tekrarlan\u0131yor.<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define predictor and response variables\n<\/span>X = data[[\"mpg\", \"disp\", \"drat\", \"wt\", \"qsec\"]]\ny = data[[\"hp\"]]\n\n<span style=\"color: #008080;\">#define cross-validation method\n<span style=\"color: #000000;\">cv = RepeatedKFold(n_splits= <span style=\"color: #008000;\">10<\/span> , n_repeats= <span style=\"color: #008000;\">3<\/span> , random_state= <span style=\"color: #008000;\">1<\/span> )\n\nmse = []\nn = <span style=\"color: #3366ff;\">len<\/span> (X)<\/span>\n\n# Calculate MSE with only the intercept\n<span style=\"color: #000000;\">score = -1*model_selection. <span style=\"color: #3366ff;\">cross_val_score<\/span> (PLSRegression(n_components=1),<\/span>\n<span style=\"color: #000000;\">n.p. <span style=\"color: #3366ff;\">ones<\/span> ((n,1)), y, cv=cv, scoring=' <span style=\"color: #008000;\">neg_mean_squared_error<\/span> '). <span style=\"color: #3366ff;\">mean<\/span> ()    \nmse. <span style=\"color: #3366ff;\">append<\/span> (score)<\/span>\n\n# Calculate MSE using cross-validation, adding one component at a time\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">for<\/span> i <span style=\"color: #008000;\">in<\/span> np. <span style=\"color: #3366ff;\">arange<\/span> (1, 6):\n    pls = PLSRegression(n_components=i)\n    score = -1*model_selection. <span style=\"color: #3366ff;\">cross_val_score<\/span> (pls, scale(X), y, cv=cv,\n               scoring=' <span style=\"color: #008000;\">neg_mean_squared_error<\/span> '). <span style=\"color: #3366ff;\">mean<\/span> ()\n    mse. <span style=\"color: #3366ff;\">append<\/span> (score)<\/span>\n\n#plot test MSE vs. number of components\n<span style=\"color: #000000;\">plt. <span style=\"color: #3366ff;\">plot<\/span> (mse)\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #008000;\">Number of PLS Components<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #008000;\">MSE<\/span> ')\nplt. <span style=\"color: #3366ff;\">title<\/span> (' <span style=\"color: #008000;\">hp<\/span> ')<\/span>\n<\/span><\/strong><\/span><\/pre>\n<h3><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11985 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/svppython1.png\" alt=\"Python \u00c7apraz Do\u011frulama Grafi\u011finde K\u0131smi En K\u00fc\u00e7\u00fck Kareler\" width=\"405\" height=\"284\" srcset=\"\" sizes=\"auto, \"><\/h3>\n<p> <span style=\"color: #000000;\">Grafik, x ekseni boyunca PLS bile\u015fenlerinin say\u0131s\u0131n\u0131 ve y ekseni boyunca MSE (ortalama kare hatas\u0131) testini g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Grafikten, testin MSE&#8217;sinin iki PLS bile\u015feni ekledi\u011fimizde azald\u0131\u011f\u0131n\u0131, ancak ikiden fazla PLS bile\u015feni ekledik\u00e7e artmaya ba\u015flad\u0131\u011f\u0131n\u0131 g\u00f6rebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle optimal model yaln\u0131zca ilk iki PLS bile\u015fenini i\u00e7erir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Tahminlerde bulunmak i\u00e7in son modeli kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Yeni g\u00f6zlemler hakk\u0131nda tahminlerde bulunmak i\u00e7in son PLS modelini iki PLS bile\u015feniyle kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, orijinal veri setinin bir e\u011fitim ve test setine nas\u0131l b\u00f6l\u00fcnece\u011fini ve test seti \u00fczerinde tahminler yapmak i\u00e7in PLS modelinin iki PLS bile\u015feniyle nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#split the dataset into training (70%) and testing (30%) sets\n<\/span><span style=\"color: #3366ff;\">X_train<\/span> <span style=\"color: #008000;\">,<\/span> <span style=\"color: #008000;\">_<\/span><span style=\"color: #008080;\">\n\n#calculate RMSE\n<span style=\"color: #000000;\">pls = PLSRegression(n_components=2)\npls. <span style=\"color: #3366ff;\">fit<\/span> (scale(X_train), y_train)<\/span>\n\n<span style=\"color: #000000;\">n.p. <span style=\"color: #3366ff;\">sqrt<\/span> (mean_squared_error(y_test, pls. <span style=\"color: #3366ff;\">predict<\/span> (scale(X_test))))\n<\/span>\n<span style=\"color: #000000;\">29.9094\n<\/span><\/span><\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Testin RMSE&#8217;sinin <strong>29,9094<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz. Bu, test seti g\u00f6zlemleri i\u00e7in tahmin edilen <em>hp<\/em> de\u011feri ile g\u00f6zlenen <em>hp<\/em> de\u011feri aras\u0131ndaki ortalama sapmad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte kullan\u0131lan Python kodunun tamam\u0131n\u0131 <a href=\"https:\/\/github.com\/Statorials\/Python-Guides\/blob\/main\/partial_least_squares.py\" target=\"_blank\" rel=\"noopener noreferrer\">burada<\/a> bulabilirsiniz.<\/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 ger\u00e7ekle\u015fti\u011finde, 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-1211","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>Python&#039;da K\u0131smi En K\u00fc\u00e7\u00fck Kareler (ad\u0131m ad\u0131m) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere Python&#039;da k\u0131smi en k\u00fc\u00e7\u00fck karelerin nas\u0131l yap\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\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\/pythonda-en-az-kismi-kenarlar\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da K\u0131smi En K\u00fc\u00e7\u00fck Kareler (ad\u0131m ad\u0131m) - 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