{"id":2545,"date":"2023-07-21T19:35:49","date_gmt":"2023-07-21T19:35:49","guid":{"rendered":"https:\/\/statorials.org\/my\/python-sigmoid-%e1%80%9c%e1%80%af%e1%80%95%e1%80%ba%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba\/"},"modified":"2023-07-21T19:35:49","modified_gmt":"2023-07-21T19:35:49","slug":"python-sigmoid-%e1%80%9c%e1%80%af%e1%80%95%e1%80%ba%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-sigmoid-%e1%80%9c%e1%80%af%e1%80%95%e1%80%ba%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a sigmoid function \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a)"},"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 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a<\/a> \u101e\u100a\u103a \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b &#8220; S&#8221;  \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u1037\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u104f \u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038 \u1025\u1015\u1019\u102c\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a logistic sigmoid function \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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 \u101b\u103e\u102d sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u101c\u103d\u101a\u103a\u1000\u1030\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103c\u1031\u1001\u1036 syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u1037\u103a <strong>SciPy<\/strong> \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.special.expit.html\" target=\"_blank\" rel=\"noopener\">expit()<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038 x = 2.5 \u1021\u1010\u103d\u1000\u103a sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/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 \u1021\u1010\u103d\u1000\u103a sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.924<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/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>\u1025\u1015\u1019\u102c 2- \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1021\u1010\u103d\u1000\u103a Sigmoid Function \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a x \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1021\u1010\u103d\u1000\u103a sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a\u1010\u100a\u103a\u1038\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/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>\u1025\u1015\u1019\u102c 3- \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1021\u1010\u103d\u1000\u103a Sigmoid Function \u1000\u102d\u102f \u1005\u102e\u1005\u1009\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a <a href=\"https:\/\/matplotlib.org\/\" target=\"_blank\" rel=\"noopener\">matplotlib<\/a> \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 x \u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1021\u1010\u103d\u1000\u103a sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a \u104b<\/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 \u101b\u103e\u102d sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\" width=\"495\" height=\"377\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u101e\u100a\u103a sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u104f \u201cS\u201d \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1018\u102f\u1036\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/logistic-regression-python\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a Logistic Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-\u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f-\u1000\u103c\u1036\u1005\u100a\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a logistic regression curve \u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1006\u103d\u1032\u1019\u101c\u1032\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a \u101e\u100a\u103a \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b &#8220; S&#8221; \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u1037\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u104f \u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038 \u1025\u1015\u1019\u102c\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a logistic sigmoid function \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b F(x) = 1 \/ (1 + e -x ) Python \u101b\u103e\u102d sigmoid \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u101c\u103d\u101a\u103a\u1000\u1030\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103c\u1031\u1001\u1036 syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u1037\u103a SciPy \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e expit() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b from scipy. special import expit #calculate sigmoid function for x = 2.5 expire(2.5) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO 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