{"id":2546,"date":"2023-07-21T19:35:49","date_gmt":"2023-07-21T19:35:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/piton-sigmoid-islevi\/"},"modified":"2023-07-21T19:35:49","modified_gmt":"2023-07-21T19:35:49","slug":"piton-sigmoid-islevi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/piton-sigmoid-islevi\/","title":{"rendered":"Python&#39;da sigmoid fonksiyonu nas\u0131l hesaplan\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Sigmoid_function\" target=\"_blank\" rel=\"noopener\">Sigmoid fonksiyonu,<\/a> \u00e7izildi\u011finde &#8220;S&#8221; \u015feklinde bir e\u011fri sergileyen matematiksel bir fonksiyondur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sigmoid fonksiyonunun en yayg\u0131n \u00f6rne\u011fi, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan lojistik sigmoid fonksiyonudur:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F(x) = 1 \/ (1 + e <sup>-x<\/sup> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Python&#8217;da bir sigmoid fonksiyonunu hesaplaman\u0131n en kolay yolu, a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullanan <strong>SciPy<\/strong> k\u00fct\u00fcphanesindeki <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.special.expit.html\" target=\"_blank\" rel=\"noopener\">expit()<\/a> fonksiyonunu kullanmakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">special<\/span> <span style=\"color: #008000;\">import<\/span> expit\n\n<span style=\"color: #008080;\">#calculate sigmoid function for x = 2.5\n<\/span>expire(2.5)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: bir de\u011fer i\u00e7in sigmoid fonksiyonunu hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, x = 2,5 de\u011feri i\u00e7in sigmoid fonksiyonunun nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">special<\/span> <span style=\"color: #008000;\">import<\/span> expit\n\n<span style=\"color: #008080;\">#calculate sigmoid function for x = 2.5\n<\/span>expire(2.5)\n\n0.9241418199787566\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">x = 2,5 i\u00e7in sigmoid fonksiyonunun de\u011feri <strong>0,924&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">De\u011feri manuel olarak hesaplayarak bunu do\u011frulayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F(x) = 1 \/ (1 + e <sup>-x<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">F(x) = 1 \/ (1 + e <sup>-2,5<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">F(x) = 1 \/ (1 + 0,082)<\/span><\/li>\n<li> <span style=\"color: #000000;\">F(x) = <strong>0,924<\/strong><\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: \u00c7oklu De\u011ferler \u0130\u00e7in Sigmoid Fonksiyonunun Hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, birden fazla x de\u011feri i\u00e7in sigmoid fonksiyonunun ayn\u0131 anda nas\u0131l hesaplanaca\u011f\u0131n\u0131 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: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">special<\/span> <span style=\"color: #008000;\">import<\/span> expit\n<\/span>\n#define list of values\n<span style=\"color: #000000;\">values = [-2, -1, 0, 1, 2]\n\n<span style=\"color: #008080;\">#calculate sigmoid function for each value in list\n<\/span>expire(values)\n\narray([0.11920292, 0.26894142, 0.5, 0.73105858, 0.88079708])\n<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir De\u011fer Aral\u0131\u011f\u0131 \u0130\u00e7in Sigmoid Fonksiyonunun Grafi\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, <a href=\"https:\/\/matplotlib.org\/\" target=\"_blank\" rel=\"noopener\">matplotlib<\/a> kullanarak bir x de\u011fer aral\u0131\u011f\u0131 i\u00e7in bir sigmoid fonksiyonunun de\u011ferlerinin nas\u0131l \u00e7izilece\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: #008000;\">import <span style=\"color: #000000;\">matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">special<\/span> <span style=\"color: #008000;\">import<\/span> expit\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#define range of x-values\n<\/span>x = np. <span style=\"color: #3366ff;\">linspace<\/span> (-10, 10, 100)\n\n<span style=\"color: #008080;\">#calculate sigmoid function for each x-value\n<\/span>y = expire(x)\n  \n<span style=\"color: #008080;\">#createplot\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (x, y)\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #ff0000;\">x<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #ff0000;\">F(x)<\/span> ')\n\n<span style=\"color: #008080;\">#displayplot\n<\/span>plt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/span><\/span><\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-22606\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sigmoide_python.jpg\" alt=\"Python'da sigmoid i\u015flevi\" width=\"495\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafi\u011fin bir sigmoid fonksiyonun &#8220;S&#8221; \u015feklindeki e\u011fri karakteristi\u011fini g\u00f6sterdi\u011fine dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Python&#8217;da di\u011fer yayg\u0131n i\u015flemlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <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-lojistik-regresyonun-grafigini-cizme\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da lojistik regresyon e\u011frisi nas\u0131l \u00e7izilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sigmoid fonksiyonu, \u00e7izildi\u011finde &#8220;S&#8221; \u015feklinde bir e\u011fri sergileyen matematiksel bir fonksiyondur. Sigmoid fonksiyonunun en yayg\u0131n \u00f6rne\u011fi, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan lojistik sigmoid fonksiyonudur: F(x) = 1 \/ (1 + e -x ) Python&#8217;da bir sigmoid fonksiyonunu hesaplaman\u0131n en kolay yolu, a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullanan SciPy k\u00fct\u00fcphanesindeki expit() fonksiyonunu kullanmakt\u0131r: from scipy. special import expit #calculate sigmoid [&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-2546","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 Sigmoid Fonksiyonu Nas\u0131l Hesaplan\u0131r (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da bir sigmoid fonksiyonunun nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \u00f6rnekle 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\/piton-sigmoid-islevi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Sigmoid Fonksiyonu Nas\u0131l Hesaplan\u0131r (\u00d6rneklerle) - 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