{"id":4061,"date":"2023-07-13T20:58:15","date_gmt":"2023-07-13T20:58:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-dirsek-yontemi\/"},"modified":"2023-07-13T20:58:15","modified_gmt":"2023-07-13T20:58:15","slug":"pythonda-dirsek-yontemi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-dirsek-yontemi\/","title":{"rendered":"Optimum k\u00fcmeleri bulmak i\u0307\u00e7in python&#39;da dirsek y\u00f6ntemi nas\u0131l kullan\u0131l\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Makine \u00f6\u011freniminde en yayg\u0131n k\u00fcmeleme algoritmalar\u0131ndan biri <strong>k-ortalama k\u00fcmeleme<\/strong> olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">K-ortalama k\u00fcmelemesi, bir veri k\u00fcmesindeki her g\u00f6zlemi <em>K<\/em> k\u00fcmesinden birine yerle\u015ftirdi\u011fimiz bir tekniktir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nihai ama\u00e7, her k\u00fcme i\u00e7indeki g\u00f6zlemlerin birbirine olduk\u00e7a benzer oldu\u011fu, farkl\u0131 k\u00fcmelerdeki g\u00f6zlemlerin ise birbirinden olduk\u00e7a farkl\u0131 oldu\u011fu <em>K<\/em> k\u00fcmeye sahip olmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">K-ortalamal\u0131 k\u00fcmeleme yaparken ilk ad\u0131m, g\u00f6zlemleri yerle\u015ftirmek istedi\u011fimiz k\u00fcmelerin say\u0131s\u0131 olan <em>K<\/em> i\u00e7in bir de\u011fer se\u00e7mektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>K<\/em> i\u00e7in bir de\u011fer se\u00e7menin en yayg\u0131n yollar\u0131ndan biri, x ekseninde k\u00fcme say\u0131s\u0131 ve y ekseninde karelerin toplam\u0131ndan olu\u015fan bir grafik olu\u015fturmay\u0131 ve ard\u0131ndan K de\u011ferini belirlemeyi i\u00e7eren <strong>dirsek y\u00f6ntemi<\/strong> olarak bilinir. olay \u00f6rg\u00fcs\u00fcnde bir &#8220;diz&#8221; veya d\u00f6n\u00fc\u015f\u00fcn g\u00f6r\u00fcnd\u00fc\u011f\u00fc yer.<\/span><\/p>\n<p> <span style=\"color: #000000;\">X ekseninde &#8220;dizin&#8221; olu\u015ftu\u011fu nokta bize k-ortalamal\u0131 k\u00fcmeleme algoritmas\u0131nda kullan\u0131lacak en uygun k\u00fcme say\u0131s\u0131n\u0131 s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek Python&#8217;da dirsek y\u00f6nteminin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Gerekli mod\u00fclleri i\u00e7e aktar\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle k-means k\u00fcmelemesini ger\u00e7ekle\u015ftirmek i\u00e7in ihtiya\u00e7 duyaca\u011f\u0131m\u0131z t\u00fcm mod\u00fclleri 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> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\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;\">cluster<\/span> <span style=\"color: #008000;\">import<\/span> KMeans\n<span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">preprocessing<\/span> <span style=\"color: #008000;\">import<\/span> StandardScaler<\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: DataFrame&#8217;i olu\u015fturun<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Daha sonra 20 farkl\u0131 basketbol oyuncusu i\u00e7in \u00fc\u00e7 de\u011fi\u015fken i\u00e7eren bir DataFrame olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">points<\/span> ': [18, np.nan, 19, 14, 14, 11, 20, 28, 30, 31,\n                              35, 33, 29, 25, 25, 27, 29, 30, 19, 23],\n                   ' <span style=\"color: #ff0000;\">assists<\/span> ': [3, 3, 4, 5, 4, 7, 8, 7, 6, 9, 12, 14,\n                               np.nan, 9, 4, 3, 4, 12, 15, 11],\n                   ' <span style=\"color: #ff0000;\">rebounds<\/span> ': [15, 14, 14, 10, 8, 14, 13, 9, 5, 4,\n                                11, 6, 5, 5, 3, 8, 12, 7, 6, 5]})\n\n<span style=\"color: #008080;\">#drop rows with NA values in any columns\n<span style=\"color: #000000;\">df = df. <span style=\"color: #3366ff;\">dropna<\/span> ()<\/span>\n\n#create scaled DataFrame where each variable has mean of 0 and standard dev of 1\n<span style=\"color: #000000;\">scaled_df = StandardScaler(). <span style=\"color: #3366ff;\">fit_transform<\/span> (df)\n<\/span><\/span><\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Optimum K\u00fcme Say\u0131s\u0131n\u0131 Bulmak i\u00e7in Dirsek Y\u00f6ntemini Kullan\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Diyelim ki bu \u00fc\u00e7 \u00f6l\u00e7\u00fcme dayal\u0131 olarak benzer akt\u00f6rleri bir arada gruplamak i\u00e7in k-means k\u00fcmelemesini kullanmak istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python&#8217;da k-means k\u00fcmelemesini ger\u00e7ekle\u015ftirmek i\u00e7in <strong>sklearn<\/strong> mod\u00fcl\u00fcnden <a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.cluster.KMeans.html\" target=\"_blank\" rel=\"noopener\">KMeans<\/a> fonksiyonunu kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu i\u015flevin en \u00f6nemli arg\u00fcman\u0131, g\u00f6zlemlerin ka\u00e7 k\u00fcmeye yerle\u015ftirilece\u011fini belirten <strong>n_clusters&#8217;t\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Optimum k\u00fcme say\u0131s\u0131n\u0131 belirlemek i\u00e7in, k\u00fcme say\u0131s\u0131n\u0131 ve modelin SSE&#8217;sini (hatalar\u0131n karelerinin toplam\u0131) g\u00f6steren bir grafik olu\u015fturaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra karelerin toplam\u0131n\u0131n &#8220;b\u00fck\u00fclmeye&#8221; veya sabitlenmeye ba\u015flad\u0131\u011f\u0131 bir &#8220;diz&#8221; arayaca\u011f\u0131z. Bu nokta optimum k\u00fcme say\u0131s\u0131n\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, x ekseninde k\u00fcme say\u0131s\u0131n\u0131 ve y ekseninde SSE&#8217;yi g\u00f6r\u00fcnt\u00fcleyen bu t\u00fcr grafi\u011fin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#initialize kmeans parameters\n<\/span>kmeans_kwargs = {\n\" <span style=\"color: #ff0000;\">init<\/span> \": \" <span style=\"color: #ff0000;\">random<\/span> \",\n\" <span style=\"color: #ff0000;\">n_init<\/span> \": 10,\n\" <span style=\"color: #ff0000;\">random_state<\/span> \": 1,\n}\n\n<span style=\"color: #008080;\">#create list to hold SSE values for each k\n<\/span>sse = []\n<span style=\"color: #008000;\">for<\/span> k <span style=\"color: #008000;\">in<\/span> range(1, 11):\n    kmeans = KMeans(n_clusters=k, <span style=\"color: #800080;\">**<\/span> kmeans_kwargs)\n    kmeans. <span style=\"color: #3366ff;\">fit<\/span> (scaled_df)\n    sse. <span style=\"color: #3366ff;\">append<\/span> (kmeans.inertia_)\n\n<span style=\"color: #008080;\">#visualize results\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (range(1, 11), sse)\nplt. <span style=\"color: #3366ff;\">xticks<\/span> (range(1, 11))\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (\" <span style=\"color: #ff0000;\">Number of Clusters<\/span> \")\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (\u201c <span style=\"color: #ff0000;\">SSE<\/span> \u201d)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29557 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kmmoyenne1.jpg\" alt=\"\" width=\"531\" height=\"408\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu grafikte k = <strong>3 k\u00fcmede<\/strong> b\u00fck\u00fclme veya &#8220;diz&#8221; oldu\u011fu g\u00f6r\u00fclmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bir sonraki ad\u0131mda k-ortalama k\u00fcmeleme modelimizi yerle\u015ftirirken 3 k\u00fcme kullanaca\u011f\u0131z.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Optimal <em>K<\/em> ile K-Means K\u00fcmelemesini Ger\u00e7ekle\u015ftirin<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, <em>k<\/em> \/3 i\u00e7in en uygun de\u011feri kullanarak veri k\u00fcmesinde k-ortalamal\u0131 k\u00fcmelemenin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#instantiate the k-means class, using optimal number of clusters\n<\/span>kmeans = KMeans(init=\" <span style=\"color: #ff0000;\">random<\/span> \", n_clusters= <span style=\"color: #008000;\">3<\/span> , n_init= <span style=\"color: #008000;\">10<\/span> , random_state= <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#fit k-means algorithm to data\n<\/span>kmeans. <span style=\"color: #3366ff;\">fit<\/span> (scaled_df)\n\n<span style=\"color: #008080;\">#view cluster assignments for each observation\n<\/span>kmeans. <span style=\"color: #3366ff;\">labels_\n\n<\/span>array([1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0]) \n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ortaya \u00e7\u0131kan tablo, DataFrame&#8217;deki her g\u00f6zlem i\u00e7in k\u00fcme atamalar\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sonu\u00e7lar\u0131n yorumlanmas\u0131n\u0131 kolayla\u015ft\u0131rmak i\u00e7in DataFrame&#8217;e her oyuncunun k\u00fcme atamas\u0131n\u0131 g\u00f6steren bir s\u00fctun ekleyebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#append cluster assingments to original DataFrame\n<\/span>df[' <span style=\"color: #ff0000;\">cluster<\/span> '] = kmeans. <span style=\"color: #3366ff;\">labels_<\/span>\n\n<span style=\"color: #008080;\">#view updated DataFrame\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n<\/span><\/span>points assists rebounds cluster\n0 18.0 3.0 15 1\n2 19.0 4.0 14 1\n3 14.0 5.0 10 1\n4 14.0 4.0 8 1\n5 11.0 7.0 14 1\n6 20.0 8.0 13 1\n7 28.0 7.0 9 2\n8 30.0 6.0 5 2\n9 31.0 9.0 4 0\n10 35.0 12.0 11 0\n11 33.0 14.0 6 0\n13 25.0 9.0 5 0\n14 25.0 4.0 3 2\n15 27.0 3.0 8 2\n16 29.0 4.0 12 2\n17 30.0 12.0 7 0\n18 19.0 15.0 6 0\n19 23.0 11.0 5 0\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>K\u00fcme<\/strong> s\u00fctunu, her oyuncunun atand\u0131\u011f\u0131 k\u00fcme numaras\u0131n\u0131 (0, 1 veya 2) i\u00e7erir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayn\u0131 k\u00fcmeye ait oyuncular <strong>say\u0131<\/strong> , <strong>asist<\/strong> ve <strong>ribaund<\/strong> s\u00fctunlar\u0131nda yakla\u015f\u0131k olarak benzer de\u011ferlere sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : <strong>Sklearn&#8217;in<\/strong> <strong>KMeans<\/strong> i\u015flevine ili\u015fkin t\u00fcm belgeleri <a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.cluster.KMeans.html\" target=\"_blank\" rel=\"noopener\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Python&#8217;da di\u011fer genel g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Lojistik Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-k-katlama-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da K-Fold \u00e7apraz do\u011frulama nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Makine \u00f6\u011freniminde en yayg\u0131n k\u00fcmeleme algoritmalar\u0131ndan biri k-ortalama k\u00fcmeleme olarak bilinir. K-ortalama k\u00fcmelemesi, bir veri k\u00fcmesindeki her g\u00f6zlemi K k\u00fcmesinden birine yerle\u015ftirdi\u011fimiz bir tekniktir. Nihai ama\u00e7, her k\u00fcme i\u00e7indeki g\u00f6zlemlerin birbirine olduk\u00e7a benzer oldu\u011fu, farkl\u0131 k\u00fcmelerdeki g\u00f6zlemlerin ise birbirinden olduk\u00e7a farkl\u0131 oldu\u011fu K k\u00fcmeye sahip olmakt\u0131r. K-ortalamal\u0131 k\u00fcmeleme yaparken ilk ad\u0131m, g\u00f6zlemleri yerle\u015ftirmek istedi\u011fimiz k\u00fcmelerin [&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-4061","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>Optimum K\u00fcmeleri Bulmak \u0130\u00e7in Python&#039;da Dirsek Y\u00f6ntemi Nas\u0131l Kullan\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir k\u00fcmeleme algoritmas\u0131nda kullan\u0131lacak en uygun k\u00fcme say\u0131s\u0131n\u0131 bulmak i\u00e7in Python&#039;da Dirsek y\u00f6nteminin nas\u0131l kullan\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-dirsek-yontemi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Optimum K\u00fcmeleri Bulmak \u0130\u00e7in Python&#039;da Dirsek Y\u00f6ntemi Nas\u0131l Kullan\u0131l\u0131r - 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