{"id":16559,"date":"2024-01-26T23:05:48","date_gmt":"2024-01-26T19:35:48","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/"},"modified":"2024-01-26T23:05:48","modified_gmt":"2024-01-26T19:35:48","slug":"%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/","title":{"rendered":"\u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646: \u0627\u0641\u0632\u0648\u062f\u0646 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0633\u0631\u0641\u0635\u0644\u0647\u0627\u06cc \u0645\u0637\u0644\u0628<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%d9%85%d8%b9%d8%b1%d9%81%db%8c\" >\u0645\u0639\u0631\u0641\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%d9%85%d8%ac%d9%85%d9%88%d8%b9%d9%87_%d8%af%d8%a7%d8%af%d9%87\" >\u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%d8%b4%d8%a8%da%a9%d9%87_%d9%87%d8%a7%db%8c_%d8%b9%d8%b5%d8%a8%db%8c_%d8%a8%d8%a7_%db%8c%da%a9_%d9%84%d8%a7%db%8c%d9%87_%d9%be%d9%86%d9%87%d8%a7%d9%86\" >\u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%d9%81%db%8c%d8%af_%d9%81%d9%88%d8%b1%d9%88%d8%a7%d8%b1%d8%af\" >\u0641\u06cc\u062f \u0641\u0648\u0631\u0648\u0627\u0631\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%d8%a7%d9%86%d8%aa%d8%b4%d8%a7%d8%b1_%d9%be%d8%b4%d8%aa\" >\u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0634\u062a<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%da%a9%d8%af_%d8%b4%d8%a8%da%a9%d9%87_%d9%87%d8%a7%db%8c_%d8%b9%d8%b5%d8%a8%db%8c_%d8%a8%d8%a7_%db%8c%da%a9_%d9%84%d8%a7%db%8c%d9%87_%d9%be%d9%86%d9%87%d8%a7%d9%86\" >\u06a9\u062f \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%db%8c%d8%ac%d8%a7%d8%af-%db%8c%da%a9-%d8%b4%d8%a8%da%a9%d9%87-%d8%b9%d8%b5%d8%a8%db%8c-%d8%a7%d8%b2-%d8%a7%d8%a8%d8%aa%d8%af%d8%a7-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a7\/#%d9%86%d8%aa%db%8c%d8%ac%d9%87\" >\u0646\u062a\u06cc\u062c\u0647<\/a><\/li><\/ul><\/nav><\/div>\n<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 10<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<div><noscript><\/noscript><\/p>\n<p>\u0627\u06cc\u0646 \u062f\u0648\u0645\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0632 \u0633\u0631\u06cc \u0645\u0642\u0627\u0644\u0627\u062a \u0627\u0633\u062a \u0631\u0648\u06cc &#8220;\u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646&#8221;.<\/p>\n<p>\u0627\u06af\u0631 \u0634\u0645\u0627 \u06a9\u0627\u0645\u0644\u0627 \u0645\u0628\u062a\u062f\u06cc \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0647\u0633\u062a\u06cc\u062f\u060c \u0627\u0628\u062a\u062f\u0627 \u0628\u0627\u06cc\u062f \u0642\u0633\u0645\u062a 1 \u0627\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647 \u0631\u0627 \u0628\u062e\u0648\u0627\u0646\u06cc\u062f (\u067e\u06cc\u0648\u0646\u062f \u0628\u0627\u0644\u0627).  \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0628\u0627 \u0645\u0641\u0627\u0647\u06cc\u0645 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0622\u0646 \u0645\u0642\u0627\u0644\u0647 \u0631\u0627\u062d\u062a \u0634\u062f\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f 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\u0644\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0648 \u062e\u0631\u0648\u062c\u06cc\u060c \u062d\u0627\u0648\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0647\u0633\u062a\u0646\u062f.<\/p>\n<p>\u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u0642\u0628\u0644\u06cc\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0646\u062a\u06cc\u062c\u0647 \u0631\u0633\u06cc\u062f\u06cc\u0645 \u06a9\u0647 \u06cc\u06a9 Perceptron \u0642\u0627\u062f\u0631 \u0628\u0647 \u06cc\u0627\u0641\u062a\u0646 \u0645\u0631\u0632 \u062a\u0635\u0645\u06cc\u0645 \u062e\u0637\u06cc \u0627\u0633\u062a.  \u0645\u0627 \u0627\u0632 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u0641\u0631\u062f \u062f\u06cc\u0627\u0628\u062a\u06cc \u0627\u0633\u062a \u06cc\u0627 \u0646\u0647 \u0627\u0632 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0627\u0633\u0628\u0627\u0628 \u0628\u0627\u0632\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f\u06cc\u0645.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u06cc\u06a9 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0642\u0627\u062f\u0631 \u0628\u0647 \u06cc\u0627\u0641\u062a\u0646 \u0645\u0631\u0632\u0647\u0627\u06cc \u062a\u0635\u0645\u06cc\u0645 \u063a\u06cc\u0631\u062e\u0637\u06cc \u0646\u06cc\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647\u060c \u0645\u0627 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0645\u0641\u0627\u0647\u06cc\u0645\u06cc \u06a9\u0647 \u062f\u0631 \u0642\u0633\u0645\u062a 1 \u0627\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u0637\u0627\u0644\u0639\u0647 \u06a9\u0631\u062f\u06cc\u0645\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u0648 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc\u060c \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0648 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0627\u06cc\u062c\u0627\u062f \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f.  \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u06a9\u0647 \u062a\u0648\u0633\u0639\u0647 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u062f \u0642\u0627\u062f\u0631 \u0628\u0647 \u06cc\u0627\u0641\u062a\u0646 \u0645\u0631\u0632\u0647\u0627\u06cc \u063a\u06cc\u0631\u062e\u0637\u06cc \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/p>\n<h2 id=\"dataset\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ac%d9%85%d9%88%d8%b9%d9%87_%d8%af%d8%a7%d8%af%d9%87\"><\/span>\u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u063a\u06cc\u0631\u062e\u0637\u06cc \u0642\u0627\u0628\u0644 \u062a\u0641\u06a9\u06cc\u06a9 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u0645.  \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0645\u0627 \u0628\u0647 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0627\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062e\u0637 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0642\u0627\u0628\u0644 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0646\u0628\u0627\u0634\u062f.<\/p>\n<p>\u062e\u0648\u0634\u0628\u062e\u062a\u0627\u0646\u0647 \u067e\u0627\u06cc\u062a\u0648\u0646 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/scikit-learn.org\/stable\/\">Scikit Learn<\/a> \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0628\u0627 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u062e\u0648\u062f\u06a9\u0627\u0631 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0627\u06cc \u06a9\u0647 \u0642\u0631\u0627\u0631 \u0627\u0633\u062a \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0628\u0647 \u0645\u0646\u0638\u0648\u0631 \u0622\u0645\u0648\u0632\u0634 \u0648 \u0622\u0632\u0645\u0627\u06cc\u0634 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u062e\u0648\u062f \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f.<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn <span class=\"hljs-keyword\">import<\/span> datasets\n\nnp.random.seed(<span class=\"hljs-number\">0<\/span>)\nfeature_set, labels = datasets.make_moons(<span class=\"hljs-number\">100<\/span>, noise=<span class=\"hljs-number\">0.10<\/span>)\nplt.figure(figsize=(<span class=\"hljs-number\">10<\/span>,<span class=\"hljs-number\">7<\/span>))\nplt.scatter(feature_set(:,<span class=\"hljs-number\">0<\/span>), feature_set(:,<span class=\"hljs-number\">1<\/span>), c=labels, cmap=plt.cm.winter)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0645\u0627 import \u0631\u0627 <code>datasets<\/code> \u06a9\u0644\u0627\u0633 \u0627\u0632 <code>sklearn<\/code> \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647  \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u063a\u06cc\u0631 \u062e\u0637\u06cc \u0627\u0632 100 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647\u060c \u0627\u0632 <code>make_moons<\/code> \u0645\u062a\u062f \u0648 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0627\u0648\u0644 100 \u0627\u0631\u0633\u0627\u0644 \u06a9\u0646\u06cc\u062f.  \u0627\u06cc\u0646 \u0645\u062a\u062f \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f \u06a9\u0647 \u0648\u0642\u062a\u06cc \u0631\u0633\u0645 \u0645\u06cc \u0634\u0648\u062f \u0634\u0627\u0645\u0644 \u062f\u0648 \u0646\u06cc\u0645 \u062f\u0627\u06cc\u0631\u0647 \u0645\u062a\u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u060c \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/creating-neural-network-scratch-python-adding-hidden-layers-1.png\" alt=\"\u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0645\u0627\u0647 \u0647\u0627\" title=\"\"><\/p>\n<p>\u0634\u0645\u0627 \u0628\u0647 \u0648\u0636\u0648\u062d \u0645\u06cc \u0628\u06cc\u0646\u06cc\u062f \u06a9\u0647 \u0627\u06cc\u0646 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0631\u0627 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u06cc\u06a9 \u062e\u0637 \u0645\u0633\u062a\u0642\u06cc\u0645 \u062c\u062f\u0627 \u06a9\u0631\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u0632 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0635\u062d\u06cc\u062d \u0627\u06cc\u0646 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u06cc\u0646 \u0645\u0641\u0647\u0648\u0645 \u0631\u0627 \u062a\u0623\u06cc\u06cc\u062f \u06a9\u0646\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u0627\u0632 \u06cc\u06a9 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0633\u0627\u062f\u0647 \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0648 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc (\u0644\u0627\u06cc\u0647\u200c\u0627\u06cc \u06a9\u0647 \u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u06af\u0630\u0634\u062a\u0647 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0648 \u0633\u0639\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u00ab\u0642\u0645\u0631\u00bb \u062e\u0648\u062f \u0631\u0627 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u06a9\u0646\u06cc\u0645.  \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn <span class=\"hljs-keyword\">import<\/span> datasets\n<span class=\"hljs-keyword\">import<\/span> numpy <span class=\"hljs-keyword\">as<\/span> np\n<span class=\"hljs-keyword\">import<\/span> matplotlib.pyplot <span class=\"hljs-keyword\">as<\/span> plt\n\nnp.random.seed(<span class=\"hljs-number\">0<\/span>)\nfeature_set, labels = datasets.make_moons(<span class=\"hljs-number\">100<\/span>, noise=<span class=\"hljs-number\">0.10<\/span>)\nplt.figure(figsize=(<span class=\"hljs-number\">10<\/span>,<span class=\"hljs-number\">7<\/span>))\nplt.scatter(feature_set(:,<span class=\"hljs-number\">0<\/span>), feature_set(:,<span class=\"hljs-number\">1<\/span>), c=labels, cmap=plt.cm.winter)\n\nlabels = labels.reshape(<span class=\"hljs-number\">100<\/span>, <span class=\"hljs-number\">1<\/span>)\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">sigmoid<\/span>(<span class=\"hljs-params\">x<\/span>):<\/span>\n    <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">1<\/span>\/(<span class=\"hljs-number\">1<\/span>+np.exp(-x))\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">sigmoid_der<\/span>(<span class=\"hljs-params\">x<\/span>):<\/span>\n    <span class=\"hljs-keyword\">return<\/span> sigmoid(x) *(<span class=\"hljs-number\">1<\/span>-sigmoid (x))\n\nnp.random.seed(<span class=\"hljs-number\">42<\/span>)\nweights = np.random.rand(<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">1<\/span>) \nlr = <span class=\"hljs-number\">0.5<\/span>\nbias = np.random.rand(<span class=\"hljs-number\">1<\/span>)\n\n<span class=\"hljs-keyword\">for<\/span> epoch <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">200000<\/span>):\n    inputs = feature_set\n\n    \n    XW = np.dot(feature_set,weights) + bias\n\n    \n    z = sigmoid(XW)\n\n    \n    error_out = ((<span class=\"hljs-number\">1<\/span> \/ <span class=\"hljs-number\">2<\/span>) * (np.power((z - labels), <span class=\"hljs-number\">2<\/span>)))\n    <span class=\"hljs-built_in\">print<\/span>(error_out.<span class=\"hljs-built_in\">sum<\/span>())\n\n    error = z - labels\n\n    \n    dcost_dpred = error\n    dpred_dz = sigmoid_der(z) \n\n    z_delta = dcost_dpred * dpred_dz\n\n    inputs = feature_set.T\n    weights -= lr * np.dot(inputs, z_delta)\n\n    <span class=\"hljs-keyword\">for<\/span> num <span class=\"hljs-keyword\">in<\/span> z_delta:\n        bias -= lr * num\n<\/code><\/pre>\n<p>\u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u06cc\u062f \u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0631\u0628\u0639\u0627\u062a \u062e\u0637\u0627\u060c \u0645\u0647\u0645 \u0646\u06cc\u0633\u062a \u06a9\u0647 \u0686\u0647 \u06a9\u0627\u0631\u06cc \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f\u060c \u0628\u06cc\u0634 \u0627\u0632 4.17 \u062f\u0631\u0635\u062f \u0647\u0645\u06af\u0631\u0627 \u0646\u062e\u0648\u0627\u0647\u062f \u0634\u062f.  \u0627\u06cc\u0646 \u0628\u0647 \u0645\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0647\u0645\u0647 \u0646\u0642\u0627\u0637 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u0628\u0647 \u062f\u0631\u0633\u062a\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0645\u0647\u0645 \u0646\u06cc\u0633\u062a \u06a9\u0647 \u0686\u0647 \u06a9\u0627\u0631\u06cc \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u06cc\u0645.<\/p>\n<h2 id=\"neuralnetworkswithonehiddenlayer\"><span class=\"ez-toc-section\" id=\"%d8%b4%d8%a8%da%a9%d9%87_%d9%87%d8%a7%db%8c_%d8%b9%d8%b5%d8%a8%db%8c_%d8%a8%d8%a7_%db%8c%da%a9_%d9%84%d8%a7%db%8c%d9%87_%d9%be%d9%86%d9%87%d8%a7%d9%86\"><\/span>\u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0642\u0633\u0645\u062a \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc\u060c \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0648 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0645\u0639\u0645\u0627\u0631\u06cc \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0645\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f:<\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/creating-neural-network-scratch-python-adding-hidden-layers-2.png\" alt=\"\u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646\" title=\"\"><\/p>\n<p>\u062f\u0631 \u0634\u06a9\u0644 \u0628\u0627\u0644\u0627 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 2 \u0648\u0631\u0648\u062f\u06cc\u060c \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0648 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u062f\u0627\u0631\u06cc\u0645.  \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u062f\u0627\u0631\u0627\u06cc 4 \u06af\u0631\u0647 \u0627\u0633\u062a.  \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc 1 \u062f\u0627\u0631\u062f node \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0645\u0627 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0644 \u06cc\u06a9 \u0645\u0633\u0626\u0644\u0647 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0628\u0627\u06cc\u0646\u0631\u06cc \u0647\u0633\u062a\u06cc\u0645\u060c \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u062a\u0646\u0647\u0627 \u062f\u0648 \u062e\u0631\u0648\u062c\u06cc \u0645\u0645\u06a9\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0648\u062c\u0648\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.  \u0627\u06cc\u0646 \u0645\u0639\u0645\u0627\u0631\u06cc \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0642\u0627\u062f\u0631 \u0628\u0647 \u06cc\u0627\u0641\u062a\u0646 \u0645\u0631\u0632\u0647\u0627\u06cc \u063a\u06cc\u0631 \u062e\u0637\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0645\u0647\u0645 \u0646\u06cc\u0633\u062a \u06a9\u0647 \u0686\u0646\u062f \u06af\u0631\u0647 \u0648 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f\u060c \u0627\u0635\u0644 \u06a9\u0627\u0631 \u06cc\u06a9\u0633\u0627\u0646 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f.  \u0634\u0645\u0627 \u0628\u0627 \u0641\u0627\u0632 \u067e\u06cc\u0634\u200c\u062e\u0648\u0631 \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u0642\u0628\u0644\u06cc \u0628\u0627 \u0648\u0632\u0646\u200c\u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0636\u0631\u0628 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0648 \u0627\u0632 \u062a\u0627\u0628\u0639 \u0641\u0639\u0627\u0644\u200c\u0633\u0627\u0632\u06cc \u0639\u0628\u0648\u0631 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u062a\u0627 \u0645\u0642\u062f\u0627\u0631 \u0646\u0647\u0627\u06cc\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0622\u0646 \u0628\u0647 \u062f\u0633\u062a \u0622\u06cc\u062f. node \u062f\u0631 \u0644\u0627\u06cc\u0647 \u0628\u0639\u062f\u06cc  \u0627\u06cc\u0646 process \u0628\u0631\u0627\u06cc \u062a\u0645\u0627\u0645 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u0634\u0648\u062f \u062a\u0627 \u062e\u0631\u0648\u062c\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u0648\u062f.  \u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631\u060c \u062e\u0631\u0648\u062c\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0634\u062f\u0647 \u0628\u0627 \u062e\u0631\u0648\u062c\u06cc \u0648\u0627\u0642\u0639\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647 \u0634\u062f\u0647 \u0648 \u0647\u0632\u06cc\u0646\u0647 \u062e\u0637\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u0647\u062f\u0641 \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0631\u0633\u0627\u0646\u062f\u0646 \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u0642\u0628\u0644\u06cc \u062f\u06cc\u062f\u06cc\u0645\u060c \u0627\u06af\u0631 \u0647\u06cc\u0686 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646\u06cc \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f\u060c \u0628\u0633\u06cc\u0627\u0631 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u06af\u0631 \u06cc\u06a9 \u06cc\u0627 \u0686\u0646\u062f \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u062f\u0631\u06af\u06cc\u0631 \u0628\u0627\u0634\u062f\u060c process \u06a9\u0645\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631 \u0645\u06cc \u0634\u0648\u062f \u0632\u06cc\u0631\u0627 \u062e\u0637\u0627 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0628\u06cc\u0634 \u0627\u0632 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u0628\u0627\u0632\u06af\u0631\u062f\u0627\u0646\u062f\u0647 \u0634\u0648\u062f \u0632\u06cc\u0631\u0627 \u0648\u0632\u0646 \u0647\u0627 \u062f\u0631 \u0647\u0645\u0647 \u0644\u0627\u06cc\u0647 \u0647\u0627 \u0628\u0647 \u062e\u0631\u0648\u062c\u06cc \u0646\u0647\u0627\u06cc\u06cc \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0631\u0648\u0634 \u0627\u0646\u062c\u0627\u0645 \u0645\u0631\u0627\u062d\u0644 feed-forward \u0648 back-propagation \u0628\u0631\u0627\u06cc \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u062f\u0627\u0631\u0627\u06cc \u06cc\u06a9 \u06cc\u0627 \u0686\u0646\u062f \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0631\u0627 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f.<\/p>\n<h3 id=\"feedforward\"><span class=\"ez-toc-section\" id=\"%d9%81%db%8c%d8%af_%d9%81%d9%88%d8%b1%d9%88%d8%a7%d8%b1%d8%af\"><\/span>\u0641\u06cc\u062f \u0641\u0648\u0631\u0648\u0627\u0631\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0628\u0631\u0627\u06cc \u0647\u0631 \u0631\u06a9\u0648\u0631\u062f\u060c \u062f\u0648 \u0648\u06cc\u0698\u06af\u06cc &#8220;x1&#8221; \u0648 &#8220;x2&#8221; \u062f\u0627\u0631\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0631\u0627\u06cc \u0647\u0631 \u06a9\u062f\u0627\u0645 node \u062f\u0631 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646\u060c \u0628\u0627\u06cc\u062f \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u0628\u0627 \u0648\u0632\u0646 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0636\u0631\u0628 \u06a9\u0646\u06cc\u0645 node \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0622\u0646 \u0645\u0642\u062f\u0627\u0631 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0633\u067e\u0633 \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0631\u0627 \u0627\u0632 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0641\u0639\u0627\u0644\u200c\u0633\u0627\u0632\u06cc \u0639\u0628\u0648\u0631 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645 \u062a\u0627 \u0645\u0642\u062f\u0627\u0631 \u0646\u0647\u0627\u06cc\u06cc \u0631\u0627 \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u0645.<\/p>\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u0646\u0647\u0627\u06cc\u06cc \u0628\u0631\u0627\u06cc \u0627\u0648\u0644\u06cc\u0646 node \u062f\u0631 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u06a9\u0647 \u0628\u0627 &#8220;ah1&#8221; \u0645\u0634\u062e\u0635 \u0645\u06cc \u0634\u0648\u062f\u060c \u0628\u0627\u06cc\u062f \u0645\u062d\u0627\u0633\u0628\u0647 \u0632\u06cc\u0631 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f:<\/p>\n<p>$$<br \/>zh1 = x1w1 + x2w2<br \/>$$<\/p>\n<p>$$<br \/>ah1 = \\frac{\\mathrm{1} }{\\mathrm{1} + e^{-zh1} }<br \/>$$<\/p>\n<p>\u0627\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0628\u0647 \u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0628\u0631\u0627\u06cc \u0628\u0627\u0644\u0627\u062a\u0631\u06cc\u0646 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0627\u0633\u062a node \u062f\u0631 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646  \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u06af\u0631\u0647 \u0647\u0627\u06cc 2\u060c 3 \u0648 4 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u06af\u0631\u0647 \u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u062e\u0631\u0648\u062c\u06cc\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u06af\u0631\u0647 \u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0631\u0627 \u0628\u0627 \u0648\u0632\u0646 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0622\u0646\u0647\u0627 \u0636\u0631\u0628 \u06a9\u0646\u06cc\u062f \u0648 \u0646\u062a\u06cc\u062c\u0647 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u0639\u0628\u0648\u0631 \u062f\u0647\u06cc\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u06cc\u0627\u0636\u06cc \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u0632\u06cc\u0631 \u0628\u06cc\u0627\u0646 \u06a9\u0631\u062f:<\/p>\n<p>$$<br \/>zo = ah1w9 + ah2w10 + ah3w11 + ah4w12<br \/>$$<\/p>\n<p>$$<br \/>a0 = \\frac{\\mathrm{1} }{\\mathrm{1} + e^{-z0} }<br \/>$$<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 &#8220;a0&#8221; \u062e\u0631\u0648\u062c\u06cc \u0646\u0647\u0627\u06cc\u06cc \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0645\u0627 \u0627\u0633\u062a.  \u0628\u0647 \u06cc\u0627\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u062a\u0627\u0628\u0639 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u06a9\u0647 \u0645\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u062a\u0627\u0628\u0639 sigmoid \u0627\u0633\u062a\u060c \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u0642\u0628\u0644\u06cc \u0627\u0646\u062c\u0627\u0645 \u062f\u0627\u062f\u06cc\u0645.<\/p>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f:<\/strong> \u0628\u0647 \u0645\u0646\u0638\u0648\u0631 \u0633\u0627\u062f\u06af\u06cc\u060c \u0645\u0627 \u06cc\u06a9 \u0627\u0635\u0637\u0644\u0627\u062d \u062a\u0639\u0635\u0628 \u0628\u0647 \u0647\u0631 \u0648\u0632\u0646 \u0627\u0636\u0627\u0641\u0647 \u0646\u06a9\u0631\u062f\u06cc\u0645.  \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u06cc\u062f \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u062d\u062a\u06cc \u0628\u062f\u0648\u0646 \u0639\u0628\u0627\u0631\u062a \u0628\u0627\u06cc\u0627\u0633 \u0628\u0647\u062a\u0631 \u0627\u0632 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0639\u0645\u0644 \u062e\u0648\u0627\u0647\u062f \u06a9\u0631\u062f.<\/p>\n<h3 id=\"backpropagation\"><span class=\"ez-toc-section\" id=\"%d8%a7%d9%86%d8%aa%d8%b4%d8%a7%d8%b1_%d9%be%d8%b4%d8%aa\"><\/span>\u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0634\u062a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u06af\u0627\u0645 \u067e\u06cc\u0634\u0631\u0648\u06cc \u0646\u0633\u0628\u062a\u0627\u064b \u0645\u0633\u062a\u0642\u06cc\u0645 \u0627\u0633\u062a.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0647 \u0639\u0642\u0628 \u0645\u0627\u0646\u0646\u062f \u0642\u0633\u0645\u062a 1 \u0627\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647 \u0633\u0627\u062f\u0647 \u0646\u06cc\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631\u060c \u0627\u0628\u062a\u062f\u0627 \u062a\u0627\u0628\u0639 \u0636\u0631\u0631 \u062e\u0648\u062f \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0645\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Mean_squared_error\">\u062e\u0637\u0627\u06cc \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0631\u0628\u0639\u0627\u062a<\/a> \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647.  \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u06cc\u0627\u0636\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f:<\/p>\n<p>$$<br \/>MSE =<br \/>\\frac{\\mathrm{1} }{\\mathrm{n}}<br \/>\\sum\\nlimits_{i=1}^{n}<br \/>(\u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0634\u062f\u0647 &#8211; \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647)^{2}<br \/>$$<\/p>\n<p>\u0627\u06cc\u0646\u062c\u0627 <code>n<\/code> \u062a\u0639\u062f\u0627\u062f \u0645\u0634\u0627\u0647\u062f\u0627\u062a \u0627\u0633\u062a.<\/p>\n<h4 id=\"phase1\">\u0641\u0627\u0632 1<\/h4>\n<p>\u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0627\u0648\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u0645\u062c\u062f\u062f\u060c \u0628\u0627\u06cc\u062f \u0648\u0632\u0646 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u06cc\u0639\u0646\u06cc w9\u060c w10\u060c w11 \u0648 w12 \u0631\u0627 \u0628\u0647 \u0631\u0648\u0632 \u06a9\u0646\u06cc\u0645.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631\u060c \u0641\u0642\u0637 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0645\u0627 \u062f\u0627\u0631\u0627\u06cc \u0628\u062e\u0634 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/creating-neural-network-scratch-python-adding-hidden-layers-3.png\" alt=\"\u0645\u0631\u062d\u0644\u0647 1 \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0647 \u0639\u0642\u0628\" title=\"\"><\/p>\n<p>\u0627\u06cc\u0646 \u0628\u0647 \u0646\u0638\u0631 \u0634\u0628\u06cc\u0647 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u06af\u0630\u0634\u062a\u0647 \u062a\u0648\u0633\u0639\u0647 \u062f\u0627\u062f\u06cc\u0645.  \u0647\u062f\u0641 \u0627\u0632 \u0645\u0631\u062d\u0644\u0647 \u0627\u0648\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0631\u06af\u0634\u062a\u06cc\u060c \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u0648\u0632\u0646 \u0647\u0627\u06cc w9\u060c w10\u060c w11 \u0648 w12 \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062e\u0637\u0627\u06cc \u0646\u0647\u0627\u06cc\u06cc \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0631\u0633\u062f.  \u0627\u06cc\u0646 \u06cc\u06a9 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Optimization_problem\">\u0645\u0634\u06a9\u0644 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc<\/a> \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Maxima_and_minima\">\u062d\u062f\u0627\u0642\u0644 \u0639\u0645\u0644\u06a9\u0631\u062f<\/a> \u0628\u0631\u0627\u06cc \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0645\u0627<\/p>\n<p>\u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0645\u06cc\u0646\u06cc\u0645\u0645 \u06cc\u06a9 \u062a\u0627\u0628\u0639\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 \u0639\u0628\u0627\u0631\u062a \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Optimization_problem\">\u0634\u06cc\u0628 \u0645\u0646\u0627\u0633\u0628<\/a> \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645  \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0646\u0632\u0648\u0644 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u06cc\u0627\u0636\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f:<\/p>\n<p>$$ \u062a\u06a9\u0631\u0627\u0631 \\ \u062a\u0627 \\ \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc: \\begin{Bmatrix} w_j := w_j &#8211; \\alpha \\frac{\\partial }{\\partial w_j} J(w_0,w_1 &#8230;&#8230;. w_n) \\end{Bmatrix} &#8230;&#8230;&#8230;&#8230;. (1) $$\n<\/p>\n<p>\u062c\u0632\u0626\u06cc\u0627\u062a \u062f\u0631 \u0645\u0648\u0631\u062f \u0627\u06cc\u0646\u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u062a\u0627\u0628\u0639 \u0646\u0632\u0648\u0644\u06cc \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0647\u0632\u06cc\u0646\u0647 \u0631\u0627 \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0645\u06cc \u0631\u0633\u0627\u0646\u062f \u0642\u0628\u0644\u0627\u064b \u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u0642\u0628\u0644\u06cc \u0645\u0648\u0631\u062f \u0628\u062d\u062b \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0627\u0633\u062a.  \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0645\u0627 \u0641\u0642\u0637 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0631\u0627 \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645 \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645.<\/p>\n<p>\u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0645\u0627 \u0627\u06cc\u0646 \u0627\u0633\u062a:<\/p>\n<p>$$<br \/>MSE = \\frac{\\mathrm{1} }{\\mathrm{n}} \\sum\\nolimits_{i=1}^{n}(\u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0634\u062f\u0647 &#8211; \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647)^{2}<br \/>$$<\/p>\n<p>\u062f\u0631 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0645\u0627\u060c \u062e\u0631\u0648\u062c\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0634\u062f\u0647 \u0628\u0627 &#8220;ao&#8221; \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u0627\u0633\u0627\u0633\u0627 \u0628\u0627\u06cc\u062f \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0631\u0627 \u06a9\u0645\u06cc\u0646\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<p>$$<br \/>\u0647\u0632\u06cc\u0646\u0647 = \\frac{\\mathrm{1} }{\\mathrm{n}} \\sum\\nolimits_{i=1}^{n}(ao &#8211; \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647)^{2}<br \/>$$<\/p>\n<p>\u0627\u0632 \u0645\u0642\u0627\u0644\u0647 \u0642\u0628\u0644\u060c \u0645\u06cc \u062f\u0627\u0646\u06cc\u0645 \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0631\u0633\u0627\u0646\u062f\u0646 \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647\u060c \u0628\u0627\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u0631\u0627 \u0637\u0648\u0631\u06cc \u0628\u0647 \u0631\u0648\u0632 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0647\u0632\u06cc\u0646\u0647 \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0628\u062f.  \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u0628\u0627\u06cc\u062f \u0627\u0632 \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0647\u0631 \u0648\u0632\u0646 \u0645\u0634\u062a\u0642 \u0628\u06af\u06cc\u0631\u06cc\u0645.  \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0631\u062d\u0644\u0647 \u0628\u0627 \u0648\u0632\u0646 \u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0633\u0631\u0648\u06a9\u0627\u0631 \u062f\u0627\u0631\u06cc\u0645\u060c \u0628\u0627\u06cc\u062f \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0631\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 w9\u060c w10\u060c w11 \u0648 w2 \u0645\u062a\u0645\u0627\u06cc\u0632 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u062a\u0645\u0627\u06cc\u0632 \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0648\u0632\u0646 \u0647\u0627 \u062f\u0631 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u06cc\u0627\u0636\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Chain_rule\">\u0642\u0627\u0639\u062f\u0647 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0627\u06cc<\/a> \u0627\u0632 \u062a\u0645\u0627\u06cc\u0632<\/p>\n<p>$$<br \/>\\frac {dcost}{dwo} = \\frac {dcost}{dao} *, \\frac {dao}{dzo} * \\frac {dzo}{dwo} &#8230;&#8230; (1)<br \/>$$<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 &#8220;wo&#8221; \u0628\u0647 \u0648\u0632\u0646 \u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0627\u0634\u0627\u0631\u0647 \u062f\u0627\u0631\u062f.  \u062d\u0631\u0641 &#8220;\u062f&#8221; \u062f\u0631 \u0627\u0628\u062a\u062f\u0627\u06cc \u0647\u0631 \u0639\u0628\u0627\u0631\u062a \u0628\u0647 &#8220;\u0645\u0634\u062a\u0642&#8221; \u0627\u0634\u0627\u0631\u0647 \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0645\u0642\u062f\u0627\u0631 \u0647\u0631 \u0639\u0628\u0627\u0631\u062a \u0631\u0627 \u062f\u0631 \u0622\u0646 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 <em>\u0645\u0639\u0627\u062f\u0644\u0647 1<\/em>.<\/p>\n<p>\u0627\u06cc\u0646\u062c\u0627\u060c<\/p>\n<p>$$<br \/>\\frac {dcost}{dao} = \\frac {2}{n} * (ao &#8211; labels)<br \/>$$<\/p>\n<p>\u0627\u06cc\u0646\u062c\u0627 <code>2<\/code> \u0648 <code>n<\/code> \u062b\u0627\u0628\u062a \u0647\u0633\u062a\u0646\u062f.  \u0627\u06af\u0631 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0646\u0627\u062f\u06cc\u062f\u0647 \u0628\u06af\u06cc\u0631\u06cc\u0645\u060c \u0645\u0639\u0627\u062f\u0644\u0647 \u0632\u06cc\u0631 \u0631\u0627 \u062f\u0627\u0631\u06cc\u0645.<\/p>\n<p>$$<br \/>\\frac {dcost}{dao} = (ao &#8211; labels) &#8230;&#8230;.. (5)<br \/>$$<\/p>\n<p>\u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0628\u0639\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 &#8220;dao&#8221; \u0631\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 &#8220;dzo&#8221; \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645:<\/p>\n<p>$$<br \/>\\frac {dao}{dzo} = sigmoid(zo) * (1-sigmoid(zo)) &#8230;&#8230;.. (6)<br \/>$$<\/p>\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u0645\u0627 \u0628\u0627\u06cc\u062f &#8220;dzo&#8221; \u0631\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 &#8220;dwo&#8221; \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645.  \u0645\u0634\u062a\u0642 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u0644\u0627\u06cc\u0647 \u0645\u062e\u0641\u06cc \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<p>$$<br \/>\\frac {dzo}{dwo} = \u0622\u0647<br \/>$$<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 &#8220;ah&#8221; \u0628\u0647 4 \u0648\u0631\u0648\u062f\u06cc \u0627\u0632 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0627\u0634\u0627\u0631\u0647 \u062f\u0627\u0631\u062f. <em>\u0645\u0639\u0627\u062f\u0644\u0647 1<\/em> \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u0628\u0647 \u0631\u0648\u0632 \u0634\u062f\u0647 \u0628\u0631\u0627\u06cc \u0648\u0632\u0646 \u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.  \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u062c\u062f\u06cc\u062f\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u062a\u0648\u0633\u0637 <em>\u0645\u0639\u0627\u062f\u0644\u0647 1<\/em> \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0628\u0627 \u0646\u0631\u062e \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0636\u0631\u0628 \u06a9\u0631\u062f \u0648 \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u0641\u0639\u0644\u06cc \u06a9\u0645 \u06a9\u0631\u062f.  \u0627\u06cc\u0646 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a \u0648 \u0645\u0627 \u0642\u0628\u0644\u0627\u064b \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0627\u062f\u0647 \u0627\u06cc\u0645.<\/p>\n<h4 id=\"phase2\">\u0641\u0627\u0632 2<\/h4>\n<p>\u062f\u0631 \u0642\u0633\u0645\u062a \u0642\u0628\u0644 \u062f\u06cc\u062f\u06cc\u0645 \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0647\u200c\u0631\u0648\u0632 \u0634\u062f\u0647 \u0628\u0631\u0627\u06cc \u0648\u0632\u0646\u200c\u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u06cc\u0639\u0646\u06cc w9\u060c w10\u060c w11 \u0648 12 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645. \u062f\u0631 \u0627\u06cc\u0646 \u0628\u062e\u0634\u060c \u062e\u0637\u0627\u06cc \u062e\u0648\u062f \u0631\u0627 \u0628\u0647 \u0644\u0627\u06cc\u0647 \u0642\u0628\u0644\u06cc \u0628\u0627\u0632 \u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u06cc\u0645 \u0648 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u062c\u062f\u06cc\u062f \u0631\u0627 \u067e\u06cc\u062f\u0627 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0628\u0631\u0627\u06cc \u0648\u0632\u0646 \u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u06cc\u0639\u0646\u06cc \u0648\u0632\u0646 \u0647\u0627\u06cc w1 \u062a\u0627 w8.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0645\u062c\u0645\u0648\u0639\u0627\u064b \u0648\u0632\u0646 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 &#8220;wh&#8221; \u0646\u0634\u0627\u0646 \u062f\u0647\u06cc\u0645.  \u0645\u0627 \u0627\u0633\u0627\u0633\u0627\u064b \u0628\u0627\u06cc\u062f \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647 \u0631\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 &#8220;wh&#8221; \u0645\u062a\u0645\u0627\u06cc\u0632 \u06a9\u0646\u06cc\u0645.  \u0627\u0632 \u0646\u0638\u0631 \u0631\u06cc\u0627\u0636\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 \u0642\u0627\u0646\u0648\u0646 \u0632\u0646\u062c\u06cc\u0631\u0647 \u062a\u0645\u0627\u06cc\u0632 \u0628\u0631\u0627\u06cc \u0646\u0645\u0627\u06cc\u0634 \u0622\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<p>$$<br \/>\\frac {dcost}{dwh} = \\frac {dcost}{dah} *, \\frac {dah}{dzh} * \\frac {dzh}{dwh} &#8230;&#8230; (2)<br \/>$$<\/p>\n<p>\u0627\u06cc\u0646\u062c\u0627 \u062f\u0648\u0628\u0627\u0631\u0647 \u0634\u06a9\u0633\u062a \u062e\u0648\u0627\u0647\u06cc\u0645 \u062e\u0648\u0631\u062f <em>\u0645\u0639\u0627\u062f\u0644\u0647 2<\/em> \u0628\u0647 \u0634\u0631\u0627\u06cc\u0637 \u0641\u0631\u062f\u06cc<\/p>\n<p>\u0627\u0648\u0644\u06cc\u0646 \u0639\u0628\u0627\u0631\u062a &#8220;dcost&#8221; \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 &#8220;dah&#8221; \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0627\u0646\u0648\u0646 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0627\u06cc \u062a\u0645\u0627\u06cc\u0632 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0645\u062a\u0645\u0627\u06cc\u0632 \u06a9\u0631\u062f:<\/p>\n<p>$$<br \/>\\frac {dcost}{dah} = \\frac {dcost}{dzo} *, \\frac {dzo}{dah} &#8230;&#8230; (3)<br \/>$$<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u062f\u0648\u0628\u0627\u0631\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0634\u06a9\u0646\u06cc\u0645 <em>\u0645\u0639\u0627\u062f\u0644\u0647 3<\/em> \u0628\u0647 \u0634\u0631\u0627\u06cc\u0637 \u0641\u0631\u062f\u06cc  \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0627\u0646\u0648\u0646 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0627\u06cc \u062f\u0648\u0628\u0627\u0631\u0647\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 &#8220;dcost&#8221; \u0631\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 &#8220;dzo&#8221; \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0645\u062a\u0645\u0627\u06cc\u0632 \u06a9\u0646\u06cc\u0645:<\/p>\n<p>$$<br \/>\\frac {dcost}{dzo} = \\frac {dcost}{dao} *\u060c \\frac {dao}{dzo} &#8230;&#8230; (4)<br \/>$$<\/p>\n<p>\u0645\u0627 \u0642\u0628\u0644\u0627\u064b \u0645\u0642\u062f\u0627\u0631 dcost\/dao in \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u0645 <em>\u0645\u0639\u0627\u062f\u0644\u0647 5<\/em> \u0648 dao\/dzo \u062f\u0631 _\u0645\u0639\u0627\u062f\u0644\u0647 6 _.<\/p>\n<p>\u062d\u0627\u0644\u0627 \u0628\u0627\u06cc\u062f dzo\/dah \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 <em>\u0645\u0639\u0627\u062f\u0644\u0647 3<\/em>.  \u0627\u06af\u0631 \u0628\u0647 zo \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u0645 \u0645\u0642\u062f\u0627\u0631 \u0632\u06cc\u0631 \u0631\u0627 \u062f\u0627\u0631\u062f:<\/p>\n<p>$$<br \/>zo = a01w9 + a02w10 + a03w11 + a04w12<br \/>$$<\/p>\n<p>\u0627\u06af\u0631 \u0622\u0646 \u0631\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062a\u0645\u0627\u0645 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627 \u0627\u0632 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u06a9\u0647 \u0628\u0627 &#8220;ao&#8221; \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a\u060c \u0645\u062a\u0645\u0627\u06cc\u0632 \u06a9\u0646\u06cc\u0645\u060c \u062f\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u062a\u0645\u0627\u0645 \u0648\u0632\u0646 \u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u06a9\u0647 \u0628\u0627 &#8220;wo&#8221; \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0646\u062f \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u0646\u062f.  \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u060c<\/p>\n<p>$$<br \/>\\frac {dzo}{dah} = wo &#8230;&#8230; (7)<br \/>$$<\/p>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u0642\u062f\u0627\u0631 dcost\/dah \u0631\u0627 \u0628\u0627 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u06a9\u0631\u062f\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u0632 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 <em>\u0645\u0639\u0627\u062f\u0644\u0627\u062a 7<\/em> \u0648 <em>4<\/em> \u06a9\u0647 \u062f\u0631 <em>\u0645\u0639\u0627\u062f\u0644\u0647 3<\/em>.<\/p>\n<p>\u0628\u0631\u06af\u0634\u062a\u0646 \u0628\u0647 <em>\u0645\u0639\u0627\u062f\u0644\u0647 2<\/em>\u060c \u0645\u0627 \u0647\u0646\u0648\u0632 dah\/dzh \u0648 dzh\/dwh \u0631\u0627 \u067e\u06cc\u062f\u0627 \u0646\u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645.<\/p>\n<p>\u0627\u0648\u0644\u06cc\u0646 \u062a\u0631\u0645 dah\/dzh \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0631\u062f:<\/p>\n<p>$$<br \/>\\frac {dah}{dzh} = sigmoid(zh) * (1-sigmoid(zh)) &#8230;&#8230;.. (8)<br \/>$$<\/p>\n<p>\u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c dzh\/dwh \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0631\u0648\u062f\u06cc \u0627\u0633\u062a:<\/p>\n<p>$$<br \/>\\frac {dzh}{dwh} = \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc &#8230;&#8230;.. (9)<br \/>$$<\/p>\n<p>\u0627\u06af\u0631 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u0632 \u0631\u0627 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u06a9\u0646\u06cc\u0645 <em>\u0645\u0639\u0627\u062f\u0644\u0627\u062a 3<\/em>\u060c <em>8<\/em> \u0648 <em>9<\/em> \u06a9\u0647 \u062f\u0631 <em>\u0645\u0639\u0627\u062f\u0644\u0647 3<\/em>\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0647 \u0631\u0648\u0632 \u0634\u062f\u0647 \u0628\u0631\u0627\u06cc \u0648\u0632\u0646 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0631\u0627 \u062f\u0631\u06cc\u0627\u0641\u062a \u06a9\u0646\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u062c\u062f\u06cc\u062f \u0628\u0631\u0627\u06cc \u0648\u0632\u0646\u200c\u0647\u0627\u06cc \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 &#8220;wh&#8221;\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0631\u06af\u0631\u062f\u0627\u0646\u062f\u0647 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 <em>\u0645\u0639\u0627\u062f\u0644\u0647 2<\/em> \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0628\u0627 \u0646\u0631\u062e \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0636\u0631\u0628 \u06a9\u0631\u062f \u0648 \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0632\u0646 \u0641\u0639\u0644\u06cc \u06a9\u0645 \u06a9\u0631\u062f.  \u0648 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0647\u0645\u06cc\u0646 \u0627\u0633\u062a.<\/p>\n<p>\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0634\u0645\u0627 \u062e\u0633\u062a\u0647 \u06a9\u0646\u0646\u062f\u0647 \u0628\u0647 \u0646\u0638\u0631 \u0628\u0631\u0633\u0646\u062f \u0632\u06cc\u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0632\u06cc\u0627\u062f\u06cc \u062f\u0631 \u062d\u0627\u0644 \u0627\u0646\u062c\u0627\u0645 \u0627\u0633\u062a.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u06af\u0631 \u0627\u0632 \u0646\u0632\u062f\u06cc\u06a9 \u0628\u0647 \u0622\u0646\u0647\u0627 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u062f\u060c \u0641\u0642\u0637 \u062f\u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u062f\u0631 \u06cc\u06a9 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f: \u0645\u0634\u062a\u0642 \u0648 \u0636\u0631\u0628.<\/p>\n<p>\u06cc\u06a9\u06cc \u0627\u0632 \u062f\u0644\u0627\u06cc\u0644 \u06a9\u0646\u062f\u062a\u0631 \u0628\u0648\u062f\u0646 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0646\u0633\u0628\u062a \u0628\u0647 \u0633\u0627\u06cc\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646\u06cc\u060c \u0627\u06cc\u0646 \u0648\u0627\u0642\u0639\u06cc\u062a \u0627\u0633\u062a \u06a9\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0632\u06cc\u0627\u062f\u06cc \u062f\u0631 \u0627\u0646\u062a\u0647\u0627\u06cc \u067e\u0634\u062a\u06cc \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f.  \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0645\u0627 \u0641\u0642\u0637 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0628\u0627 \u0686\u0647\u0627\u0631 \u06af\u0631\u0647\u060c \u062f\u0648 \u0648\u0631\u0648\u062f\u06cc \u0648 \u06cc\u06a9 \u062e\u0631\u0648\u062c\u06cc \u062f\u0627\u0634\u062a\u060c \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u0645\u0627 \u0645\u062c\u0628\u0648\u0631 \u0628\u0648\u062f\u06cc\u0645 \u0639\u0645\u0644\u06cc\u0627\u062a \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0648 \u0636\u0631\u0628 \u0637\u0648\u0644\u0627\u0646\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645 \u062a\u0627 \u0648\u0632\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u062a\u06a9\u0631\u0627\u0631 \u0628\u0647 \u0631\u0648\u0632 \u06a9\u0646\u06cc\u0645.  \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc\u060c \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0635\u062f\u0647\u0627 \u0644\u0627\u06cc\u0647 \u0628\u0627 \u0635\u062f\u0647\u0627 \u0645\u0642\u062f\u0627\u0631 \u0648\u0631\u0648\u062f\u06cc \u0648 \u062e\u0631\u0648\u062c\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0647 \u06a9\u0646\u062f\u06cc \u0627\u062c\u0631\u0627 \u0645\u06cc \u0634\u0648\u0646\u062f.<\/p>\n<h2 id=\"codeforneuralnetworkswithonehiddenlayer\"><span class=\"ez-toc-section\" id=\"%da%a9%d8%af_%d8%b4%d8%a8%da%a9%d9%87_%d9%87%d8%a7%db%8c_%d8%b9%d8%b5%d8%a8%db%8c_%d8%a8%d8%a7_%db%8c%da%a9_%d9%84%d8%a7%db%8c%d9%87_%d9%be%d9%86%d9%87%d8%a7%d9%86\"><\/span>\u06a9\u062f \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0627 \u06cc\u06a9 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u0635\u062d\u0628\u062a \u06a9\u0631\u062f\u06cc\u0645 \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u0645.  \u0634\u0645\u0627 \u0628\u0647 \u0648\u0636\u0648\u062d \u0645\u0637\u0627\u0628\u0642\u062a \u0628\u06cc\u0646 \u0642\u0637\u0639\u0627\u062a \u06a9\u062f \u0648 \u0646\u0638\u0631\u06cc\u0647 \u0627\u06cc \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u0628\u062e\u0634 \u0642\u0628\u0644 \u0645\u0648\u0631\u062f \u0628\u062d\u062b \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u06cc\u0645 \u0645\u0634\u0627\u0647\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u062f \u06a9\u0631\u062f.  \u0645\u0627 \u062f\u0648\u0628\u0627\u0631\u0647 \u0633\u0639\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u063a\u06cc\u0631 \u062e\u0637\u06cc \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u0628\u062e\u0634 Dataset \u0645\u0642\u0627\u0644\u0647 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u06cc\u0645.  \u0628\u0647 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u062f\u0642\u062a \u06a9\u0646\u06cc\u062f.<\/p>\n<pre><code class=\"hljs\"># -*- coding: utf-8 -*-\n\"\"\"\nCreated \u0631\u0648\u06cc Tue Sep 25 13:46:08 2018\n\n@author: usman\n\"\"\"\n\nfrom sklearn import datasets\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nnp.random.seed(0)\nfeature_set, labels = datasets.make_moons(100, noise=0.10)\nplt.figure(figsize=(10,7))\nplt.scatter(feature_set(:,0), feature_set(:,1), c=labels, cmap=plt.cm.winter)\n\nlabels = labels.reshape(100, 1)\n\ndef sigmoid(x):\n    return 1\/(1+np.exp(-x))\n\ndef sigmoid_der(x):\n    return sigmoid(x) *(1-sigmoid (x))\n\nwh = np.random.rand(len(feature_set(0)),4) \nwo = np.random.rand(4, 1)\nlr = 0.5\n\nfor epoch in range(200000):\n    # feedforward\n    zh = np.dot(feature_set, wh)\n    ah = sigmoid(zh)\n\n    zo = np.dot(ah, wo)\n    ao = sigmoid(zo)\n\n    # Phase1 =======================\n\n    error_out = ((1 \/ 2) * (np.power((ao - labels), 2)))\n    print(error_out.sum())\n\n    dcost_dao = ao - labels\n    dao_dzo = sigmoid_der(zo) \n    dzo_dwo = ah\n\n    dcost_wo = np.dot(dzo_dwo.T, dcost_dao * dao_dzo)\n\n    # Phase 2 =======================\n\n    # dcost_w1 = dcost_dah * dah_dzh * dzh_dw1\n    # dcost_dah = dcost_dzo * dzo_dah\n    dcost_dzo = dcost_dao * dao_dzo\n    dzo_dah = wo\n    dcost_dah = np.dot(dcost_dzo , dzo_dah.T)\n    dah_dzh = sigmoid_der(zh) \n    dzh_dwh = feature_set\n    dcost_wh = np.dot(dzh_dwh.T, dah_dzh * dcost_dah)\n\n    # Update Weights ================\n\n    wh -= lr * dcost_wh\n    wo -= lr * dcost_wo\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0628\u0627 \u0648\u0627\u0631\u062f \u06a9\u0631\u062f\u0646 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u0634\u0631\u0648\u0639 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u0633\u067e\u0633 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u062e\u0648\u062f \u0631\u0627 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0633\u067e\u0633 \u062a\u0627\u0628\u0639 \u0633\u06cc\u06af\u0645\u0648\u0626\u06cc\u062f \u0631\u0627 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0634\u062a\u0642 \u0622\u0646 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0633\u067e\u0633 \u0648\u0632\u0646 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0648 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0631\u0627 \u0628\u0627 \u0645\u0642\u0627\u062f\u06cc\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u0642\u062f\u0627\u0631\u062f\u0647\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0645\u06cc\u0632\u0627\u0646 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc 0.5 \u0627\u0633\u062a.  \u0645\u0646 \u0646\u0631\u062e \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0631\u0627 \u0627\u0645\u062a\u062d\u0627\u0646 \u06a9\u0631\u062f\u0645 \u0648 \u0645\u062a\u0648\u062c\u0647 \u0634\u062f\u0645 \u06a9\u0647 0.5 \u0645\u0642\u062f\u0627\u0631 \u062e\u0648\u0628\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0633\u067e\u0633 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0628\u0631\u0627\u06cc 2000 \u062f\u0648\u0631\u0647 \u0627\u062c\u0631\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u062f\u0631 \u062f\u0627\u062e\u0644 \u0647\u0631 \u062f\u0648\u0631\u0647\u060c \u0627\u0628\u062a\u062f\u0627 \u0639\u0645\u0644\u06cc\u0627\u062a \u0641\u06cc\u062f \u0641\u0648\u0631\u0648\u0627\u0631\u062f \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u06cc\u0645.  \u0642\u0637\u0639\u0647 \u06a9\u062f \u0628\u0631\u0627\u06cc \u0639\u0645\u0644\u06cc\u0627\u062a \u0641\u06cc\u062f \u0641\u0648\u0631\u0648\u0627\u0631\u062f \u0628\u0647 \u0634\u0631\u062d \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">zh = np.dot(feature_set, wh)\nah = sigmoid(zh)\n\nzo = np.dot(ah, wo)\nao = sigmoid(zo)\n<\/code><\/pre>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0628\u062e\u0634 \u062a\u0626\u0648\u0631\u06cc \u0628\u062d\u062b \u0634\u062f\u060c \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0631\u06af\u0634\u062a\u06cc \u0634\u0627\u0645\u0644 \u062f\u0648 \u0645\u0631\u062d\u0644\u0647 \u0627\u0633\u062a.  \u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0627\u0648\u0644\u060c \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0628\u0631\u0627\u06cc \u0648\u0632\u0646 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0627\u0648\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u0645\u062c\u062f\u062f \u0627\u062c\u0631\u0627 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<pre><code class=\"hljs\">error_out = ((<span class=\"hljs-number\">1<\/span> \/ <span class=\"hljs-number\">2<\/span>) * (np.power((ao - labels), <span class=\"hljs-number\">2<\/span>)))\n<span class=\"hljs-built_in\">print<\/span>(error_out.<span class=\"hljs-built_in\">sum<\/span>())\n\ndcost_dao = ao - labels\ndao_dzo = sigmoid_der(zo) \ndzo_dwo = ah\n\ndcost_wo = np.dot(dzo_dwo.T, dcost_dao * dao_dzo)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u062f\u0648\u0645\u060c \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0628\u0631\u0627\u06cc \u0648\u0632\u0646 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u062f\u0648\u0645 \u0627\u0646\u062a\u0634\u0627\u0631 \u0645\u062c\u062f\u062f \u0627\u062c\u0631\u0627 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<pre><code class=\"hljs\">dcost_dzo = dcost_dao * dao_dzo\ndzo_dah = wo\ndcost_dah = np.dot(dcost_dzo , dzo_dah.T)\ndah_dzh = sigmoid_der(zh) \ndzh_dwh = feature_set\ndcost_wh = np.dot( dzh_dwh.T, dah_dzh * dcost_dah)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u0648\u0632\u0646 \u0647\u0627 \u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0628\u0647 \u0631\u0648\u0632 \u0645\u06cc \u0634\u0648\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">wh -= lr * dcost_wh\nwo -= lr * dcost_wo\n<\/code><\/pre>\n<p>\u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0627\u062c\u0631\u0627 \u0645\u06cc \u0634\u0648\u062f\u060c \u062d\u062f\u0627\u0642\u0644 \u0645\u0642\u062f\u0627\u0631 \u062e\u0637\u0627\u06cc \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0631\u0628\u0639 1.50 \u0631\u0627 \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u06cc\u062f \u06a9\u0647 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0631\u0628\u0639 \u062e\u0637\u0627\u06cc \u0642\u0628\u0644\u06cc \u0645\u0627 4.17 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0631\u0633\u067e\u062a\u0631\u0648\u0646 \u0628\u0647 \u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0628\u0648\u062f.  \u0627\u06cc\u0646 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u062f\u0631 \u0645\u0648\u0631\u062f \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u063a\u06cc\u0631\u062e\u0637\u06cc \u0642\u0627\u0628\u0644 \u062c\u062f\u0627\u0633\u0627\u0632\u06cc \u0628\u0647\u062a\u0631 \u0639\u0645\u0644 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<h2 id=\"conclusion\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%aa%db%8c%d8%ac%d9%87\"><\/span>\u0646\u062a\u06cc\u062c\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u062f\u06cc\u062f\u06cc\u0645 \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u0627 1 \u0644\u0627\u06cc\u0647 \u067e\u0646\u0647\u0627\u0646\u060c \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645.  \u0645\u0627 \u062f\u06cc\u062f\u06cc\u0645 \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0645\u0627 \u0627\u0632 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0628\u062f\u0648\u0646 \u0644\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0628\u0631\u0627\u06cc \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u0628\u0627\u06cc\u0646\u0631\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u063a\u06cc\u0631\u062e\u0637\u06cc \u0628\u0647\u062a\u0631 \u0639\u0645\u0644 \u06a9\u0631\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0644\u0627\u0632\u0645 \u0628\u0627\u0634\u062f \u062f\u0627\u062f\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u0628\u06cc\u0634 \u0627\u0632 \u062f\u0648 \u062f\u0633\u062a\u0647 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u06cc\u0645.  \u062f\u0631 \u0645\u0642\u0627\u0644\u0647 \u0628\u0639\u062f\u06cc \u0645\u0627 \u0631\u0648\u0634 \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0627\u06cc \u0645\u0634\u06a9\u0644\u0627\u062a \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0686\u0646\u062f \u06a9\u0644\u0627\u0633\u0647 \u0631\u0627 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f.<\/p>\n<\/div>\n<p><script>\n                        !function(f,b,e,v,n,t,s)\n                        {if(f.fbq)return;n=f.fbq=function(){n.callMethod?\n                        n.callMethod.apply(n,arguments):n.queue.push(arguments)};\n                        if(!f._fbq)f._fbq=n;n.push=n;n.loaded=!0;n.version='2.0';\n                        n.queue=();t=b.createElement(e);t.async=!0;\n                        t.src=v;s=b.getElementsByTagName(e)(0);\n                        s.parentNode.insertBefore(t,s)}(window, document,'script',\n                        'https:\/\/connect.facebook.net\/en_US\/fbevents.js');\n                        fbq('init', '525232124909042');\n                        fbq('track', 'PageView');\n                    <\/script>    (\u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627 \u0628\u0647 \u062a\u0631\u062c\u0645\u0647)# python<br \/>\n<br \/><br \/>\n<br \/>\u0645\u0646\u062a\u0634\u0631 \u0634\u062f\u0647 \u062f\u0631 1403-01-26 23:05:04<br \/>\n<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;16559&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628&quot;,&quot;legend&quot;:&quot;0\\\/5 (0 \u0631\u0627\u06cc)&quot;,&quot;size&quot;:&quot;30&quot;,&quot;title&quot;:&quot;\u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646: \u0627\u0641\u0632\u0648\u062f\u0646 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} ({count} \u0631\u0627\u06cc)&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 24px;\">\n            <span class=\"kksr-muted\">\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628<\/span>\n    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p><span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 10<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span>\u0627\u06cc\u0646 \u062f\u0648\u0645\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0632 \u0633\u0631\u06cc \u0645\u0642\u0627\u0644\u0627\u062a \u0627\u0633\u062a \u0631\u0648\u06cc &#8220;\u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646&#8221;. \u0627\u06af\u0631 \u0634\u0645\u0627 \u06a9\u0627\u0645\u0644\u0627 \u0645\u0628\u062a\u062f\u06cc \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0647\u0633\u062a\u06cc\u062f\u060c \u0627\u0628\u062a\u062f\u0627 \u0628\u0627\u06cc\u062f \u0642\u0633\u0645\u062a 1 \u0627\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647 \u0631\u0627 \u0628\u062e\u0648\u0627\u0646\u06cc\u062f (\u067e\u06cc\u0648\u0646\u062f \u0628\u0627\u0644\u0627). \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0628\u0627 \u0645\u0641\u0627\u0647\u06cc\u0645 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0622\u0646 \u0645\u0642\u0627\u0644\u0647 \u0631\u0627\u062d\u062a \u0634\u062f\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0631\u06af\u0631\u062f\u06cc\u062f \u0648 \u0628\u0627 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u062f\u0627\u0645\u0647 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":16560,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1743,620],"tags":[],"class_list":["post-16559","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python","category-programming"],"acf":[],"_links":{"self":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/16559","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/comments?post=16559"}],"version-history":[{"count":0,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/16559\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media\/16560"}],"wp:attachment":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media?parent=16559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/categories?post=16559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/tags?post=16559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}