{"id":16601,"date":"2024-01-27T19:30:13","date_gmt":"2024-01-27T16:00:13","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/"},"modified":"2024-01-27T19:30:13","modified_gmt":"2024-01-27T16:00:13","slug":"%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/","title":{"rendered":"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0633\u0627\u062f\u0647 \u0628\u06cc\u0632 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 Scikit-Learn"},"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%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d9%86%d8%b8%d8%b1%db%8c%d9%87_%d9%be%d8%b4%d8%aa_%d9%82%d8%b6%db%8c%d9%87_%d8%a8%db%8c%d8%b2\" >\u0646\u0638\u0631\u06cc\u0647 \u067e\u0634\u062a \u0642\u0636\u06cc\u0647 \u0628\u06cc\u0632<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84%d8%a7%d8%aa_%da%a9%d9%84%d8%a7%d8%b3\" >\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u06a9\u0644\u0627\u0633<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84%d8%a7%d8%aa_%d9%85%d8%b4%d8%b1%d9%88%d8%b7\" >\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0645\u0634\u0631\u0648\u0637<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87_%d9%87%d8%a7%db%8c_%da%a9%d8%a7%d8%b1%d8%a8%d8%b1%d8%af%db%8c\" >\u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d9%85%d8%b2%d8%a7%db%8c%d8%a7%db%8c\" >\u0645\u0632\u0627\u06cc\u0627\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa_%d9%87%d8%a7\" >\u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627<\/a><\/li><\/ul><\/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%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d9%86%d8%b3%d8%ae%d9%87_%db%8c_%d9%86%d9%85%d8%a7%db%8c%d8%b4%db%8c_%d8%af%d8%b1_scikit-learn\" >\u0646\u0633\u062e\u0647 \u06cc \u0646\u0645\u0627\u06cc\u0634\u06cc \u062f\u0631 Scikit-Learn<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d8%af%d8%b1_%d8%ad%d8%a7%d9%84_%d8%a8%d8%a7%d8%b1%da%af%db%8c%d8%b1%db%8c_%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7\" >\u062f\u0631 \u062d\u0627\u0644 \u0628\u0627\u0631\u06af\u06cc\u0631\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d9%be%db%8c%d8%b4_%d9%be%d8%b1%d8%af%d8%a7%d8%b2%d8%b4\" >\u067e\u06cc\u0634 \u067e\u0631\u062f\u0627\u0632\u0634<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d8%a2%d9%85%d9%88%d8%b2%d8%b4_%d9%85%d8%af%d9%84\" >\u0622\u0645\u0648\u0632\u0634 \u0645\u062f\u0644<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%d8%a7%d8%b1%d8%b2%db%8c%d8%a7%d8%a8%db%8c_%d9%85%d8%af%d9%84\" >\u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u062f\u0644<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%b3%d8%a7%d8%af%d9%87-%d8%a8%db%8c%d8%b2-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86-%d8%a8%d8%a7-scikit-learn\/#%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\"> 7<\/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>\u0647\u0646\u06af\u0627\u0645 \u0645\u0637\u0627\u0644\u0639\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648 \u0622\u0645\u0627\u0631\u060c \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0648\u0644\u06cc\u0646 \u0648 \u0645\u0647\u0645\u062a\u0631\u06cc\u0646 \u0642\u0636\u0627\u06cc\u0627\u06cc\u06cc \u06a9\u0647 \u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u0632\u0627\u0646 \u06cc\u0627\u062f \u0645\u06cc \u06af\u06cc\u0631\u0646\u062f\u060c \u0642\u0636\u06cc\u0647 \u0627\u0633\u062a <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Bayes%27_theorem\">\u0642\u0636\u06cc\u0647 \u0628\u06cc\u0632<\/a>.  \u0627\u06cc\u0646 \u0642\u0636\u06cc\u0647 \u067e\u0627\u06cc\u0647 \u0648 \u0627\u0633\u0627\u0633 \u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0642\u06cc\u0627\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062a\u0645\u0631\u06a9\u0632 \u062f\u0627\u0631\u062f \u0631\u0648\u06cc \u062a\u0639\u06cc\u06cc\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0642\u0648\u0639 \u06cc\u06a9 \u0631\u0648\u06cc\u062f\u0627\u062f \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u0648\u06cc \u0622\u06af\u0627\u0647\u06cc \u0642\u0628\u0644\u06cc \u0627\u0632 \u0634\u0631\u0627\u06cc\u0637\u06cc \u06a9\u0647 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0627 \u0631\u0648\u06cc\u062f\u0627\u062f \u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0634\u062f.<\/p>\n<p>\u0627\u06cc\u0646 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Naive_Bayes_classifier\">\u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 \u0633\u0627\u062f\u0647 \u0644\u0648\u062d \u0628\u06cc\u0632<\/a> \u0642\u062f\u0631\u062a \u0627\u06cc\u0646 \u0642\u0636\u06cc\u0647 \u0631\u0627 \u0628\u0647 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u0645\u06cc \u0622\u0648\u0631\u062f \u0648 \u06cc\u06a9 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0633\u0627\u062f\u0647 \u0648 \u062f\u0631 \u0639\u06cc\u0646 \u062d\u0627\u0644 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0645\u06cc \u0633\u0627\u0632\u062f.  \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0645\u0631\u0648\u0631\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a \u0631\u0648\u06cc \u0627\u06cc\u0646 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u06a9\u0646\u0646\u062f\u0647 \u0686\u06af\u0648\u0646\u0647 \u06a9\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0686\u0647 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0645\u0646\u0627\u0633\u0628\u06cc \u062f\u0627\u0631\u062f\u060c \u0648 \u0686\u06af\u0648\u0646\u0647 \u0627\u0632 \u0622\u0646 \u0641\u0642\u0637 \u062f\u0631 \u0686\u0646\u062f \u062e\u0637 \u0627\u0632 Python \u0648 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 Scikit-Learn \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n<h2 id=\"theorybehindbayestheorem\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%b8%d8%b1%db%8c%d9%87_%d9%be%d8%b4%d8%aa_%d9%82%d8%b6%db%8c%d9%87_%d8%a8%db%8c%d8%b2\"><\/span>\u0646\u0638\u0631\u06cc\u0647 \u067e\u0634\u062a \u0642\u0636\u06cc\u0647 \u0628\u06cc\u0632<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u06af\u0631 \u0634\u0645\u0627 \u062f\u0631 \u0631\u0634\u062a\u0647 \u0647\u0627\u06cc \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u060c \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06cc\u0627 \u0647\u0631 \u0631\u0634\u062a\u0647 \u062f\u06cc\u06af\u0631\u06cc \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0622\u0645\u0627\u0631 \u0627\u0633\u062a \u0645\u0637\u0627\u0644\u0639\u0647 \u06a9\u0631\u062f\u0647 \u0627\u06cc\u062f\u060c \u0628\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0632\u06cc\u0627\u062f \u062f\u0631 \u0645\u0642\u0637\u0639\u06cc \u0628\u0647 \u0641\u0631\u0645\u0648\u0644 \u0632\u06cc\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0631\u062f\u0647 \u0627\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">P(H|E) = (P(E|H) * P(H)) \/ P(E)\n<\/code><\/pre>\n<p>\u062c\u0627\u06cc\u06cc \u06a9\u0647<\/p>\n<ul>\n<li><code>P(H|E)<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0641\u0631\u0636\u06cc\u0647 \u0627\u0633\u062a <code>H<\/code> \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u0631\u0648\u06cc\u062f\u0627\u062f <code>E<\/code>\u060c \u06cc\u06a9 \u0627\u062d\u062a\u0645\u0627\u0644 \u067e\u0633\u06cc\u0646.<\/li>\n<li><code>P(E|H)<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0642\u0648\u0639 \u0627\u0633\u062a <code>E<\/code> \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0641\u0631\u0636\u06cc\u0647 <code>H<\/code> \u062f\u0631\u0633\u062a \u0627\u0633\u062a.<\/li>\n<li><code>P(H)<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0641\u0631\u0636\u06cc\u0647 \u0627\u0633\u062a <code>H<\/code> \u062f\u0631\u0633\u062a \u0628\u0648\u062f\u0646 (\u0635\u0631\u0641 \u0646\u0638\u0631 \u0627\u0632 \u0647\u0631 \u0631\u0648\u06cc\u062f\u0627\u062f \u0645\u0631\u062a\u0628\u0637)\u060c \u06cc\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0642\u0628\u0644\u06cc <code>H<\/code>.<\/li>\n<li><code>P(E)<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0642\u0648\u0639 \u0631\u0648\u06cc\u062f\u0627\u062f (\u0635\u0631\u0641 \u0646\u0638\u0631 \u0627\u0632 \u0641\u0631\u0636\u06cc\u0647) \u0627\u0633\u062a.<\/li>\n<\/ul>\n<p>\u0627\u06cc\u0646 \u0642\u0636\u06cc\u0647 \u0628\u06cc\u0632 \u0627\u0633\u062a.  \u062f\u0631 \u0646\u06af\u0627\u0647 \u0627\u0648\u0644 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0631\u06a9 \u0622\u0646 \u0633\u062e\u062a \u0628\u0627\u0634\u062f\u060c \u0627\u0645\u0627 \u0627\u06af\u0631 \u0622\u0646 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0628\u0633\u06cc\u0627\u0631 \u0634\u0647\u0648\u062f\u06cc \u0627\u0633\u062a:<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u06af\u0648\u06cc\u06cc\u0645 \u06a9\u0647 \u0645\u0627 \u0639\u0644\u0627\u0642\u0647 \u0645\u0646\u062f\u06cc\u0645 \u0628\u062f\u0627\u0646\u06cc\u0645 \u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a \u06cc\u0627 \u062e\u06cc\u0631 <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em> (\u0631\u0648\u06cc\u062f\u0627\u062f) \u0647\u0631\u0632\u0646\u0627\u0645\u0647 (\u0641\u0631\u0636\u06cc\u0647) \u0627\u0633\u062a.  \u0627\u06af\u0631 \u0628\u0647 \u0634\u0631\u062d \u0642\u0636\u06cc\u0647 \u0628\u0631\u06af\u0631\u062f\u06cc\u0645\u060c \u0627\u06cc\u0646 \u0645\u0633\u0626\u0644\u0647 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0641\u0631\u0645\u0648\u0644\u0647 \u06a9\u0631\u062f:<\/p>\n<pre><code class=\"hljs\">P(class=SPAM|contains=\"sex\") = (P(contains=\"sex\"|class=SPAM) * P(class=SPAM)) \/ P(contains=\"sex\")\n<\/code><\/pre>\n<p>\u06a9\u0647 \u062f\u0631 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0633\u0627\u062f\u0647 \u0639\u0628\u0627\u0631\u062a \u0627\u0633\u062a \u0627\u0632: \u0627\u062d\u062a\u0645\u0627\u0644 \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em> \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0628\u0648\u062f\u0646 \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u0646\u0633\u0628\u062a \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc \u0627\u0633\u067e\u0645 \u0627\u0633\u062a \u06a9\u0647 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0647\u0633\u062a\u0646\u062f <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em> \u0636\u0631\u0628 \u062f\u0631 \u0646\u0633\u0628\u062a \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0648 \u062a\u0642\u0633\u06cc\u0645 \u0628\u0631 \u0646\u0633\u0628\u062a \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em>.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0642\u0637\u0639\u0647 \u0642\u0637\u0639\u0647 \u0627\u06cc\u0646 \u0631\u0627 \u062a\u0634\u0631\u06cc\u062d \u06a9\u0646\u06cc\u0645:<\/p>\n<ul>\n<li><code>P(class=SPAM|contains=\"sex\")<\/code>  \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0627\u06cc\u0646 \u0627\u06cc\u0645\u06cc\u0644 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 \u0627\u0633\u062a <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em>.  \u0627\u06cc\u0646 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u0627 \u0639\u0644\u0627\u0642\u0647 \u0645\u0646\u062f \u0628\u0647 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0622\u0646 \u0647\u0633\u062a\u06cc\u0645.<\/li>\n<li><code>P(contains=\"sex\"|class=SPAM)<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em> \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0627\u06cc\u0646 \u0627\u06cc\u0645\u06cc\u0644 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 SPAM \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.  \u0627\u06cc\u0646 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0645\u0627 \u0627\u0633\u062a \u06a9\u0647 \u0646\u0634\u0627\u0646\u200c\u062f\u0647\u0646\u062f\u0647 \u0647\u0645\u0628\u0633\u062a\u06af\u06cc \u0628\u06cc\u0646 \u0627\u06cc\u0645\u06cc\u0644\u06cc \u06a9\u0647 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0686\u0646\u06cc\u0646 \u0627\u06cc\u0645\u06cc\u0644\u06cc \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a. <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em>.<\/li>\n<li><code>P(class=SPAM)<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 (\u0628\u062f\u0648\u0646 \u0622\u06af\u0627\u0647\u06cc \u0642\u0628\u0644\u06cc \u0627\u0632 \u06a9\u0644\u0645\u0627\u062a \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0622\u0646) \u0627\u0633\u062a.  \u0627\u06cc\u0646 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0646\u0633\u0628\u062a \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u06a9\u0644 \u0645\u062c\u0645\u0648\u0639\u0647 \u0622\u0645\u0648\u0632\u0634\u06cc \u0645\u0627 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0647\u0633\u062a\u0646\u062f.  \u0645\u0627 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0636\u0631\u0628 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0632\u06cc\u0631\u0627 \u0639\u0644\u0627\u0642\u0647 \u0645\u0646\u062f\u06cc\u0645 \u06a9\u0647 \u0628\u062f\u0627\u0646\u06cc\u0645 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0686\u0642\u062f\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a.  \u0627\u06af\u0631 \u0627\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u06a9\u0645 \u0628\u0627\u0634\u062f\u060c \u0627\u0647\u0645\u06cc\u062a \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u0637 \u0628\u0627 \u0627\u06cc\u0645\u06cc\u0644\u200c\u0647\u0627\u06cc \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0646\u06cc\u0632 \u06a9\u0645 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/li>\n<li><code>P(contains=\"sex\")<\/code>  \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em>.  \u0627\u06cc\u0646 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0646\u0633\u0628\u062a \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em> \u062f\u0631 \u06a9\u0644 \u0645\u062c\u0645\u0648\u0639\u0647 \u0622\u0645\u0648\u0632\u0634\u06cc \u0645\u0627  \u0645\u0627 \u0628\u0631 \u0627\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0632\u06cc\u0631\u0627 \u06a9\u0644\u0645\u0647 \u0627\u0646\u062d\u0635\u0627\u0631\u06cc \u062a\u0631 \u0627\u0633\u062a <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em> \u0627\u0633\u062a\u060c \u0645\u0647\u0645\u062a\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0627\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0638\u0627\u0647\u0631 \u0645\u06cc \u0634\u0648\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0627\u06af\u0631 \u0627\u06cc\u0646 \u0639\u062f\u062f \u06a9\u0645 \u0628\u0627\u0634\u062f (\u06a9\u0644\u0645\u0647 \u0628\u0647 \u0646\u062f\u0631\u062a \u0638\u0627\u0647\u0631 \u0645\u06cc \u0634\u0648\u062f)\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u0634\u0627\u062e\u0635 \u0639\u0627\u0644\u06cc \u0628\u0627\u0634\u062f \u06a9\u0647 \u062f\u0631 \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u0638\u0627\u0647\u0631 \u0645\u06cc \u0634\u0648\u062f\u060c \u06cc\u06a9 \u0648\u06cc\u0698\u06af\u06cc \u0645\u0646\u0627\u0633\u0628 \u0628\u0631\u0627\u06cc \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0633\u062a.<\/li>\n<\/ul>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u062e\u0644\u0627\u0635\u0647\u060c \u0642\u0636\u06cc\u0647 \u0628\u06cc\u0632 \u0628\u0647 \u0645\u0627 \u0627\u06cc\u0646 \u0627\u0645\u06a9\u0627\u0646 \u0631\u0627 \u0645\u06cc\u200c\u062f\u0647\u062f \u062a\u0627 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc\u06cc \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc\u200c\u0627\u0641\u062a\u0646\u062f \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u06a9\u0646\u06cc\u0645. \u0631\u0648\u06cc \u062f\u0627\u0646\u0634 \u0642\u0628\u0644\u06cc \u0627\u0632 \u0645\u0634\u0627\u0647\u062f\u0627\u062a\u06cc \u06a9\u0647 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0644\u0627\u0644\u062a \u0628\u0631 \u0622\u0646 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.  \u0628\u0631\u0627\u06cc \u0627\u0639\u0645\u0627\u0644 \u0627\u06cc\u0646 \u0642\u0636\u06cc\u0647 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0633\u0626\u0644\u0647 \u0627\u06cc\u060c \u0628\u0627\u06cc\u062f \u062f\u0648 \u0646\u0648\u0639 \u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u0641\u0631\u0645\u0648\u0644 \u0638\u0627\u0647\u0631 \u0645\u06cc \u0634\u0648\u0646\u062f \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n<h3 id=\"classprobabilities\"><span class=\"ez-toc-section\" id=\"%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84%d8%a7%d8%aa_%da%a9%d9%84%d8%a7%d8%b3\"><\/span>\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u06a9\u0644\u0627\u0633<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062f\u0631 \u0642\u0636\u06cc\u0647\u060c <code>P(A)<\/code> \u0646\u0634\u0627\u0646 \u062f\u0647\u0646\u062f\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0647\u0631 \u0631\u0648\u06cc\u062f\u0627\u062f \u0627\u0633\u062a.  \u062f\u0631 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u06a9\u0646\u0646\u062f\u0647 \u0633\u0627\u062f\u0647 \u0628\u06cc\u0632\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u06a9\u0644\u0627\u0633 \u0631\u0627 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0641\u0631\u0627\u0648\u0627\u0646\u06cc \u0647\u0631 \u0646\u0645\u0648\u0646\u0647 \u0627\u0632 \u0631\u0648\u06cc\u062f\u0627\u062f \u062a\u0642\u0633\u06cc\u0645 \u0628\u0631 \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0646\u0645\u0648\u0646\u0647\u200c\u0647\u0627 \u062a\u0641\u0633\u06cc\u0631 \u06a9\u0646\u06cc\u0645.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u062f\u0631 \u0645\u062b\u0627\u0644 \u0642\u0628\u0644\u06cc \u062a\u0634\u062e\u06cc\u0635 \u0647\u0631\u0632\u0646\u0627\u0645\u0647\u060c <code>P(class=SPAM)<\/code> \u0646\u0634\u0627\u0646 \u062f\u0647\u0646\u062f\u0647 \u062a\u0639\u062f\u0627\u062f \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0634\u062f\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u062a\u0642\u0633\u06cc\u0645 \u0628\u0631 \u0645\u062c\u0645\u0648\u0639 \u0647\u0645\u0647 \u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a (\u0627\u06cc\u0646 <code>spam + not spam<\/code>)<\/p>\n<pre><code class=\"hljs\">P(class=SPAM) = count(class=SPAM) \/ (count(class=notSPAM) + count(class=SPAM))\n<\/code><\/pre>\n<h3 id=\"conditionalprobabilities\"><span class=\"ez-toc-section\" id=\"%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84%d8%a7%d8%aa_%d9%85%d8%b4%d8%b1%d9%88%d8%b7\"><\/span>\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0645\u0634\u0631\u0648\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062f\u0631 \u0642\u0636\u06cc\u0647\u060c <code>P(A|B)<\/code> \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0645\u0634\u0631\u0648\u0637 \u06cc\u06a9 \u0631\u0648\u06cc\u062f\u0627\u062f \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f <code>A<\/code> \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u06cc\u06a9 \u0631\u0648\u06cc\u062f\u0627\u062f \u062f\u06cc\u06af\u0631 <code>B<\/code>.  \u062f\u0631 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 \u0633\u0627\u062f\u0647 \u0628\u06cc\u0632\u060c \u0627\u06cc\u0646\u0647\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u062e\u0644\u0641\u06cc \u0631\u0627 \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f <code>A<\/code> \u0632\u0645\u0627\u0646\u06cc \u0631\u062e \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 <code>B<\/code> \u062f\u0631\u0633\u062a \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0647\u0631\u0632\u0646\u0627\u0645\u0647\u060c <code>P(class=SPAM|contains=\"sex\")<\/code> \u062a\u0639\u062f\u0627\u062f \u0645\u0648\u0627\u0631\u062f\u06cc \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u06cc\u06a9 \u0627\u06cc\u0645\u06cc\u0644 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f \u0648 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0627\u0633\u062a <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em>\u060c \u062a\u0642\u0633\u06cc\u0645 \u0628\u0631 \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0627\u06cc\u0645\u06cc\u0644 \u0647\u0627\u06cc\u06cc \u06a9\u0647 \u062d\u0627\u0648\u06cc \u06a9\u0644\u0645\u0647 \u0647\u0633\u062a\u0646\u062f <em>\u0627\u0631\u062a\u0628\u0627\u0637 \u062c\u0646\u0633\u06cc<\/em>:<\/p>\n<pre><code class=\"hljs\">P(class=SPAM|contains=\"sex\") = count(class=SPAM &amp; contains=sex) \/ count(contains=sex)\n<\/code><\/pre>\n<h2 id=\"applications\"><span class=\"ez-toc-section\" id=\"%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87_%d9%87%d8%a7%db%8c_%da%a9%d8%a7%d8%b1%d8%a8%d8%b1%d8%af%db%8c\"><\/span>\u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u06a9\u0627\u0631\u0628\u0631\u062f \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 Naive Bayes \u062f\u0631 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u0648\u0641\u0642\u06cc\u062a \u0622\u0645\u06cc\u0632 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.  \u06cc\u06a9 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u0633\u0646\u062f \u0627\u0633\u062a: \u062a\u0639\u06cc\u06cc\u0646 \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u0633\u0646\u062f \u0645\u0639\u06cc\u0646 \u0628\u0627 \u062f\u0633\u062a\u0647\u200c\u0647\u0627\u06cc \u062e\u0627\u0635\u06cc \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0631\u062f \u06cc\u0627 \u062e\u06cc\u0631.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u06cc\u0646 \u062a\u06a9\u0646\u06cc\u06a9 \u062f\u0627\u0631\u0627\u06cc \u0645\u0632\u0627\u06cc\u0627 \u0648 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc\u06cc \u0627\u0633\u062a.<\/p>\n<h3 id=\"advantages\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%b2%d8%a7%db%8c%d8%a7%db%8c\"><\/span>\u0645\u0632\u0627\u06cc\u0627\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>Naive Bayes \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0633\u0627\u062f\u0647 \u0648 \u0622\u0633\u0627\u0646 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0627\u0633\u062a.  \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644\u060c \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u062f\u0627\u062f\u0647 \u0645\u062d\u062f\u0648\u062f \u0627\u0633\u062a\u060c \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0627\u0632 \u0645\u062f\u0644 \u0647\u0627\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631 \u0628\u0647\u062a\u0631 \u0639\u0645\u0644 \u06a9\u0646\u062f.<\/li>\n<li>Naive Bayes \u0628\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0639\u062f\u062f\u06cc \u0648 \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0628\u0647 \u062e\u0648\u0628\u06cc \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f.  \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0631\u06af\u0631\u0633\u06cc\u0648\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 Gaussian Naive Bayes \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/li>\n<\/ul>\n<h3 id=\"limitations\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa_%d9%87%d8%a7\"><\/span>\u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\n<p>\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0633\u0627\u062e\u062a \u0642\u0636\u06cc\u0647\u060c \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062a\u0631\u06a9\u06cc\u0628 \u062e\u0627\u0635\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0631\u0627 \u062f\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u062e\u0648\u062f \u0627\u0632 \u062f\u0633\u062a \u0628\u062f\u0647\u06cc\u062f\u060c \u0628\u0647 \u062e\u0648\u0628\u06cc \u06a9\u0627\u0631 \u0646\u0645\u06cc \u06a9\u0646\u062f.  \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0627\u06af\u0631 \u0647\u06cc\u0686 \u0628\u0631\u0686\u0633\u0628 \u06a9\u0644\u0627\u0633 \u0648 \u0645\u0642\u062f\u0627\u0631 \u0645\u0634\u062e\u0635\u0647 \u062e\u0627\u0635\u06cc \u0631\u0627 \u0628\u0627 \u0647\u0645 \u0646\u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 class=&#8221;spam&#8221;\u060c \u062d\u0627\u0648\u06cc &#8220;$$$&#8221;) \u062a\u062e\u0645\u06cc\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0641\u0631\u06a9\u0627\u0646\u0633 \u0635\u0641\u0631 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.  \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0641\u0631\u0636 \u0627\u0633\u062a\u0642\u0644\u0627\u0644 \u0634\u0631\u0637\u06cc Naive-Bayes\u060c \u0648\u0642\u062a\u06cc \u0647\u0645\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0636\u0631\u0628 \u0634\u0648\u0646\u062f\u060c \u0635\u0641\u0631 \u062e\u0648\u0627\u0647\u06cc\u062f \u0634\u062f.<\/p>\n<\/li>\n<li>\n<p>\u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0647\u0627 \u0633\u0627\u062f\u0647 \u0628\u0627\u0634\u0646\u062f\u060c Naive Bayes \u0628\u0647 \u062e\u0648\u0628\u06cc \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0628\u0631\u0627\u06cc \u0645\u0634\u06a9\u0644\u0627\u062a \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u06a9\u0644\u0645\u0627\u062a \u06a9\u0644\u06cc\u062f\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u06cc\u0698\u06af\u06cc (\u0645\u062b\u0644\u0627\u064b \u062a\u0634\u062e\u06cc\u0635 \u0647\u0631\u0632\u0646\u0627\u0645\u0647) \u062e\u0648\u0628 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f\u060c \u0627\u0645\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u0646 \u06a9\u0644\u0645\u0627\u062a \u0645\u0647\u0645 \u0627\u0633\u062a (\u0645\u062b\u0644\u0627\u064b \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u062d\u0633\u0627\u0633\u0627\u062a) \u06a9\u0627\u0631 \u0646\u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<\/ul>\n<h2 id=\"demoinscikitlearn\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%b3%d8%ae%d9%87_%db%8c_%d9%86%d9%85%d8%a7%db%8c%d8%b4%db%8c_%d8%af%d8%b1_scikit-learn\"><\/span>\u0646\u0633\u062e\u0647 \u06cc \u0646\u0645\u0627\u06cc\u0634\u06cc \u062f\u0631 Scikit-Learn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0632\u0645\u0627\u0646 \u062f\u0645\u0648 \u0627\u0633\u062a!  \u0645\u0627 \u0627\u0632 Python 3 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 Scikit-Learn \u0628\u0631\u0627\u06cc \u0633\u0627\u062e\u062a \u06cc\u06a9 \u0622\u0634\u06a9\u0627\u0631\u0633\u0627\u0632 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0633\u0627\u062f\u0647 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u0645\u200c\u0647\u0627\u06cc SMS \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f (\u0628\u0631\u0627\u06cc \u0634\u0645\u0627 \u06a9\u0647 \u062c\u0648\u0627\u0646 \u0647\u0633\u062a\u06cc\u062f\u060c \u0627\u06cc\u0646 \u0647\u0645\u0627\u0646 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0642\u0631\u0648\u0646 \u0648\u0633\u0637\u06cc \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u0645\u200c\u0631\u0633\u0627\u0646\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0631\u062f\u06cc\u0645).  \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u0627\u0632 \u0627\u06cc\u0646\u062c\u0627 \u067e\u06cc\u062f\u0627 \u0648 \u062f\u0627\u0646\u0644\u0648\u062f \u06a9\u0646\u06cc\u062f <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/archive.ics.uci.edu\/ml\/datasets\/sms+spam+collection\">\u0627\u06cc\u0646 \u0644\u06cc\u0646\u06a9<\/a>.<\/p>\n<p>\u0645\u0627 \u0628\u0647 \u0633\u0647 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u0645\u0627 \u0631\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0633\u0627\u062f\u0647 \u062a\u0631 \u0645\u06cc \u06a9\u0646\u062f: <code>scikit-learn<\/code>\u060c <code>pandas<\/code> \u0648 <code>nltk<\/code>.  \u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>pip<\/code> \u06cc\u0627 <code>conda<\/code> \u0628\u0631\u0627\u06cc \u0646\u0635\u0628 \u0627\u06cc\u0646\u0647\u0627<\/p>\n<h3 id=\"loadingthedata\"><span class=\"ez-toc-section\" id=\"%d8%af%d8%b1_%d8%ad%d8%a7%d9%84_%d8%a8%d8%a7%d8%b1%da%af%db%8c%d8%b1%db%8c_%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7\"><\/span>\u062f\u0631 \u062d\u0627\u0644 \u0628\u0627\u0631\u06af\u06cc\u0631\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0645\u062c\u0645\u0648\u0639\u0647 \u067e\u06cc\u0627\u0645\u200c\u0647\u0627\u06cc \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0646\u0633\u062e\u0647 1 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u067e\u06cc\u0627\u0645\u200c\u0647\u0627\u06cc \u0628\u0631\u0686\u0633\u0628\u200c\u06af\u0630\u0627\u0631\u06cc \u0634\u062f\u0647 \u067e\u06cc\u0627\u0645\u06a9\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u062a\u062d\u0642\u06cc\u0642 \u062f\u0631 \u0645\u0648\u0631\u062f \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u067e\u06cc\u0627\u0645\u06a9\u06cc \u062c\u0645\u0639\u200c\u0622\u0648\u0631\u06cc \u0634\u062f\u0647\u200c\u0627\u0646\u062f.  \u0627\u06cc\u0646 \u0634\u0627\u0645\u0644 \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u067e\u06cc\u0627\u0645 \u06a9\u0648\u062a\u0627\u0647 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0627\u0632 5574 \u067e\u06cc\u0627\u0645 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631 \u0627\u0633\u0627\u0633 ham (\u0645\u0634\u0631\u0648\u0639) \u06cc\u0627 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0628\u0631\u0686\u0633\u0628 \u06af\u0630\u0627\u0631\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a.  \u062a\u0648\u0632\u06cc\u0639 \u062f\u0631 \u0645\u062c\u0645\u0648\u0639 4827 \u067e\u06cc\u0627\u0645\u06a9 \u0642\u0627\u0646\u0648\u0646\u06cc (86.6 \u062f\u0631\u0635\u062f) \u0648 \u062f\u0631 \u0645\u062c\u0645\u0648\u0639 747 (13.4 \u062f\u0631\u0635\u062f) \u067e\u06cc\u0627\u0645 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06af\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u0628\u0627\u0632 \u06a9\u0646\u06cc\u0645\u060c \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645 \u06a9\u0647 \u0641\u0631\u0645\u062a \u062f\u0627\u0631\u062f <code>(label) (tab) (message)<\/code>\u060c \u06a9\u0647 \u0686\u06cc\u0632\u06cc \u0634\u0628\u06cc\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">ham\tGo until jurong point, crazy.. Available only in bugis n great world la e buffet... Cine there got amore wat...\n\nham\tOk lar... Joking wif u oni...\n\nspam\tFree entry in 2 a wkly comp to win FA Cup final tkts 21st May 2005. Text FA to 87121 to receive entry question(std txt rate)T&amp;C's apply 08452810075over18's\n\nham\tU dun say so early hor... U c already then say...\n<\/code><\/pre>\n<p>\u0628\u0631\u0627\u06cc \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 Dataframe Pandas \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <code>read_table<\/code> \u0631\u0648\u0634.  \u0627\u06cc\u0646 \u0628\u0647 \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06cc\u06a9 \u062c\u062f\u0627\u06a9\u0646\u0646\u062f\u0647 (\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0648\u0631\u062f\u060c \u06cc\u06a9 \u0628\u0631\u06af\u0647) \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u0645 \u0648 \u0646\u0627\u0645 \u0633\u062a\u0648\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0631 \u0627\u06cc\u0646 \u0627\u0633\u0627\u0633 \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0647\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> pandas <span class=\"hljs-keyword\">as<\/span> pd\n\ndf = pd.read_table(<span class=\"hljs-string\">'SMSSpamCollection'<\/span>,\n                   sep=<span class=\"hljs-string\">'\\t'<\/span>, \n                   header=<span class=\"hljs-literal\">None<\/span>,\n                   names=(<span class=\"hljs-string\">'label'<\/span>, <span class=\"hljs-string\">'message'<\/span>))\n<\/code><\/pre>\n<h3 id=\"preprocessing\"><span class=\"ez-toc-section\" id=\"%d9%be%db%8c%d8%b4_%d9%be%d8%b1%d8%af%d8%a7%d8%b2%d8%b4\"><\/span>\u067e\u06cc\u0634 \u067e\u0631\u062f\u0627\u0632\u0634<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u062e\u0648\u062f \u0631\u0627 \u0622\u0645\u0627\u062f\u0647 \u06a9\u0631\u062f\u06cc\u0645\u060c \u0646\u0648\u0628\u062a \u0628\u0647 \u0627\u0646\u062c\u0627\u0645 \u0628\u0631\u062e\u06cc \u067e\u06cc\u0634 \u067e\u0631\u062f\u0627\u0632\u0634 \u0647\u0627 \u0645\u06cc \u0631\u0633\u062f.  \u062a\u0645\u0631\u06a9\u0632 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u0631\u0648\u06cc \u062d\u0630\u0641 \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0628\u06cc \u0641\u0627\u06cc\u062f\u0647 \u0628\u0631\u0627\u06cc \u0648\u0638\u06cc\u0641\u0647 \u0645\u0627.  \u0627\u0628\u062a\u062f\u0627 \u0628\u0627\u06cc\u062f \u0628\u0631\u0686\u0633\u0628 \u0647\u0627 \u0631\u0627 \u0627\u0632 \u0631\u0634\u062a\u0647 \u0647\u0627 \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0627\u06cc\u0646\u0631\u06cc \u0628\u0631\u0627\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 \u062e\u0648\u062f \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">df(<span class=\"hljs-string\">'label'<\/span>) = df.label.<span class=\"hljs-built_in\">map<\/span>({<span class=\"hljs-string\">'ham'<\/span>: <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-string\">'spam'<\/span>: <span class=\"hljs-number\">1<\/span>})\n<\/code><\/pre>\n<p>\u062f\u0648\u0645\u060c \u062a\u0645\u0627\u0645 \u06a9\u0627\u0631\u0627\u06a9\u062a\u0631\u0647\u0627\u06cc \u067e\u06cc\u0627\u0645 \u0631\u0627 \u0628\u0647 \u062d\u0631\u0648\u0641 \u06a9\u0648\u0686\u06a9 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">df(<span class=\"hljs-string\">'message'<\/span>) = df.message.<span class=\"hljs-built_in\">map<\/span>(<span class=\"hljs-keyword\">lambda<\/span> x: x.lower())\n<\/code><\/pre>\n<p>\u0633\u0648\u0645\u060c \u0647\u0631 \u06af\u0648\u0646\u0647 \u0639\u0644\u0627\u0645\u062a \u06af\u0630\u0627\u0631\u06cc \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">df(<span class=\"hljs-string\">'message'<\/span>) = df.message.<span class=\"hljs-built_in\">str<\/span>.replace(<span class=\"hljs-string\">'(^\\w\\s)'<\/span>, <span class=\"hljs-string\">''<\/span>)\n<\/code><\/pre>\n<p>\u0686\u0647\u0627\u0631\u0645\u060c \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u06cc\u0627\u0645\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647 \u06a9\u0644\u0645\u0627\u062a \u0648\u0627\u062d\u062f \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0646\u06cc\u062f <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.nltk.org\/\">nltk<\/a>.  \u0627\u0648\u0644\u060c \u0645\u0627 \u0628\u0627\u06cc\u062f import \u0648 \u062a\u0648\u06a9\u0646\u0627\u06cc\u0632\u0631 \u0631\u0627 \u0627\u0632 console:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> nltk\nnltk.download()\n<\/code><\/pre>\n<p>\u06cc\u06a9 \u067e\u0646\u062c\u0631\u0647 \u0646\u0635\u0628 \u0638\u0627\u0647\u0631 \u0645\u06cc \u0634\u0648\u062f.  \u0628\u0647 \u062a\u0628 &#8220;Models&#8221; \u0631\u0641\u062a\u0647 \u0648 \u0627\u0632 \u0633\u062a\u0648\u0646 &#8220;Identifier&#8221; &#8220;punkt&#8221; \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f.  \u0633\u067e\u0633 \u0631\u0648\u06cc &#8220;\u062f\u0627\u0646\u0644\u0648\u062f&#8221; \u06a9\u0644\u06cc\u06a9 \u06a9\u0646\u06cc\u062f \u0648 \u0641\u0627\u06cc\u0644 \u0647\u0627\u06cc \u0644\u0627\u0632\u0645 \u0631\u0627 \u0646\u0635\u0628 \u0645\u06cc \u06a9\u0646\u062f.  \u0633\u067e\u0633 \u0628\u0627\u06cc\u062f \u06a9\u0627\u0631 \u06a9\u0646\u062f!  \u0627\u06a9\u0646\u0648\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062a\u0648\u06a9\u0646 \u0633\u0627\u0632\u06cc \u0631\u0627 \u0627\u0639\u0645\u0627\u0644 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">df(<span class=\"hljs-string\">'message'<\/span>) = df(<span class=\"hljs-string\">'message'<\/span>).apply(nltk.word_tokenize)\n<\/code><\/pre>\n<p>\u067e\u0646\u062c\u0645\u060c \u062a\u0639\u062f\u0627\u062f\u06cc \u0631\u0627 \u0627\u062c\u0631\u0627 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/pythonprogramming.net\/stemming-nltk-tutorial\/\">\u0631\u06cc\u0634\u0647 \u06a9\u0644\u0645\u0647<\/a>.  \u0627\u06cc\u062f\u0647 stemming \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0645\u062a\u0646 \u062e\u0648\u062f \u0631\u0627 \u0639\u0627\u062f\u06cc \u06a9\u0646\u06cc\u0645 \u0632\u06cc\u0631\u0627 \u0647\u0645\u0647 \u0627\u0646\u0648\u0627\u0639 \u06a9\u0644\u0645\u0627\u062a \u0628\u062f\u0648\u0646 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u0632\u0645\u0627\u0646 \u062f\u0627\u0631\u0627\u06cc \u06cc\u06a9 \u0645\u0639\u0646\u06cc \u0647\u0633\u062a\u0646\u062f.  \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u062d\u0628\u0648\u0628 \u062a\u0631\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0628\u0646\u06cc\u0627\u062f\u06cc\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0633\u062a <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/snowball.tartarus.org\/algorithms\/porter\/stemmer.html\">\u067e\u0648\u0631\u062a\u0631 \u0627\u0633\u062a\u0645\u0631<\/a>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> nltk.stem <span class=\"hljs-keyword\">import<\/span> PorterStemmer\n\nstemmer = PorterStemmer()\n \ndf(<span class=\"hljs-string\">'message'<\/span>) = df(<span class=\"hljs-string\">'message'<\/span>).apply(<span class=\"hljs-keyword\">lambda<\/span> x: (stemmer.stem(y) <span class=\"hljs-keyword\">for<\/span> y <span class=\"hljs-keyword\">in<\/span> x))\n<\/code><\/pre>\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0631\u062e\u062f\u0627\u062f\u0647\u0627 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645\u060c \u06a9\u0647 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0628\u0647 \u0645\u062f\u0644 \u062e\u0648\u062f \u0648\u0627\u0631\u062f \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn.feature_extraction.text <span class=\"hljs-keyword\">import<\/span> CountVectorizer\n\n\ndf(<span class=\"hljs-string\">'message'<\/span>) = df(<span class=\"hljs-string\">'message'<\/span>).apply(<span class=\"hljs-keyword\">lambda<\/span> x: <span class=\"hljs-string\">' '<\/span>.join(x))\n\ncount_vect = CountVectorizer()\ncounts = count_vect.fit_transform(df(<span class=\"hljs-string\">'message'<\/span>))\n<\/code><\/pre>\n<p>\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0622\u0646 \u0631\u0627 \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u062a\u0639\u062f\u0627\u062f \u06a9\u0644\u0645\u0627\u062a \u0633\u0627\u062f\u0647 \u062f\u0631 \u0647\u0631 \u067e\u06cc\u0627\u0645 \u0628\u06af\u0630\u0627\u0631\u06cc\u0645\u060c \u0627\u0645\u0627 \u0628\u0647\u062a\u0631 \u0627\u0633\u062a \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/www.tfidf.com\/\">\u0641\u0631\u06a9\u0627\u0646\u0633 \u0627\u0635\u0637\u0644\u0627\u062d \u0641\u0631\u06a9\u0627\u0646\u0633 \u0633\u0646\u062f \u0645\u0639\u06a9\u0648\u0633<\/a>\u060c \u0628\u06cc\u0634\u062a\u0631 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a <code>tf-idf<\/code>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn.feature_extraction.text <span class=\"hljs-keyword\">import<\/span> TfidfTransformer\n\ntransformer = TfidfTransformer().fit(counts)\n\ncounts = transformer.transform(counts)\n<\/code><\/pre>\n<h3 id=\"trainingthemodel\"><span class=\"ez-toc-section\" id=\"%d8%a2%d9%85%d9%88%d8%b2%d8%b4_%d9%85%d8%af%d9%84\"><\/span>\u0622\u0645\u0648\u0632\u0634 \u0645\u062f\u0644<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u06a9\u0647 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0648\u06cc\u0698\u06af\u06cc \u0631\u0627 \u0627\u0632 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u062e\u0648\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0627\u062f\u0647\u200c\u0627\u06cc\u0645\u060c \u0632\u0645\u0627\u0646 \u0633\u0627\u062e\u062a \u0645\u062f\u0644 \u062e\u0648\u062f \u0641\u0631\u0627 \u0631\u0633\u06cc\u062f\u0647 \u0627\u0633\u062a.  \u0645\u0627 \u0628\u0627 \u062a\u0642\u0633\u06cc\u0645 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u062e\u0648\u062f \u0628\u0647 \u0645\u062c\u0645\u0648\u0639\u0647 \u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0648 \u0622\u0632\u0645\u0627\u06cc\u0634\u06cc \u0634\u0631\u0648\u0639 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn.model_selection <span class=\"hljs-keyword\">import<\/span> train_test_split\n\nX_train, X_test, y_train, y_test = train_test_split(counts, df(<span class=\"hljs-string\">'label'<\/span>), test_size=<span class=\"hljs-number\">0.1<\/span>, random_state=<span class=\"hljs-number\">69<\/span>)\n<\/code><\/pre>\n<p>\u0633\u067e\u0633\u060c \u062a\u0646\u0647\u0627 \u06a9\u0627\u0631\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 Naive Bayes \u0631\u0627 \u0645\u0642\u062f\u0627\u0631\u062f\u0647\u06cc \u0627\u0648\u0644\u06cc\u0647 \u06a9\u0631\u062f\u0647 \u0648 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0631\u0627 \u0645\u062a\u0646\u0627\u0633\u0628 \u06a9\u0646\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0645\u0633\u0627\u0626\u0644 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u0645\u062a\u0646\u060c \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u06a9\u0646\u0646\u062f\u0647 \u0686\u0646\u062f\u062c\u0645\u0644\u0647\u200c\u0627\u06cc \u0633\u0627\u062f\u0647 \u0628\u06cc\u0632 \u0645\u0646\u0627\u0633\u0628 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn.naive_bayes <span class=\"hljs-keyword\">import<\/span> MultinomialNB\n\nmodel = MultinomialNB().fit(X_train, y_train)\n<\/code><\/pre>\n<h3 id=\"evaluatingthemodel\"><span class=\"ez-toc-section\" id=\"%d8%a7%d8%b1%d8%b2%db%8c%d8%a7%d8%a8%db%8c_%d9%85%d8%af%d9%84\"><\/span>\u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u062f\u0644<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 \u062e\u0648\u062f \u0631\u0627 \u062c\u0645\u0639 \u0622\u0648\u0631\u06cc \u06a9\u0631\u062f\u06cc\u0645\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0639\u0645\u0644\u06a9\u0631\u062f \u0622\u0646 \u0631\u0627 \u062f\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u0622\u0632\u0645\u0627\u06cc\u0634\u06cc \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> numpy <span class=\"hljs-keyword\">as<\/span> np\n\npredicted = model.predict(X_test)\n\n<span class=\"hljs-built_in\">print<\/span>(np.mean(predicted == y_test))\n<\/code><\/pre>\n<p>\u062a\u0628\u0631\u06cc\u06a9 \u0645\u06cc \u06af\u0648\u06cc\u0645!  \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 \u0633\u0627\u062f\u0647 \u0633\u0627\u062f\u0647 \u0645\u0627 \u0628\u0627 \u0627\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647 \u0622\u0632\u0645\u0627\u06cc\u0634\u06cc 98.2\u066a \u062f\u0642\u062a \u062f\u0627\u0631\u062f!  \u0627\u0645\u0627 \u062a\u0646\u0647\u0627 \u0628\u0627 \u0627\u0631\u0627\u0626\u0647 \u062f\u0642\u062a \u06a9\u0627\u0641\u06cc \u0646\u06cc\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u0628\u0631\u0686\u0633\u0628 \u0647\u0627 \u0646\u0627\u0645\u062a\u0639\u0627\u062f\u0644 \u0627\u0633\u062a (86.6\u066a \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 13.4\u066a \u0647\u0631\u0632\u0646\u0627\u0645\u0647).  \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0627\u06cc\u0646 \u0627\u062a\u0641\u0627\u0642 \u0628\u06cc\u0641\u062a\u062f \u06a9\u0647 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u06a9\u0646\u0646\u062f\u0647 \u0645\u0627 \u062f\u0631 \u0639\u06cc\u0646 \u0646\u0627\u062f\u06cc\u062f\u0647 \u06af\u0631\u0641\u062a\u0646 \u06a9\u0644\u0627\u0633 \u0647\u0631\u0632\u0646\u0627\u0645\u0647\u060c \u06a9\u0644\u0627\u0633 \u0642\u0627\u0646\u0648\u0646\u06cc \u0631\u0627 \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0645\u0646\u0627\u0633\u0628 \u06a9\u0646\u062f.  \u0628\u0631\u0627\u06cc \u062d\u0644 \u0627\u06cc\u0646 \u0639\u062f\u0645 \u0642\u0637\u0639\u06cc\u062a\u060c \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0646\u06af\u0627\u0647\u06cc \u0628\u0647 \u0622\u0646 \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u0645 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.dataschool.io\/simple-guide-to-confusion-matrix-terminology\/\">\u0645\u0627\u062a\u0631\u06cc\u0633 \u0633\u0631\u062f\u0631\u06af\u0645\u06cc<\/a>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> sklearn.metrics <span class=\"hljs-keyword\">import<\/span> confusion_matrix\n\n<span class=\"hljs-built_in\">print<\/span>(confusion_matrix(y_test, predicted))\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 <code>confusion_matrix<\/code> \u0631\u0648\u0634 \u062e\u0648\u0627\u0647\u062f \u0634\u062f print \u0686\u06cc\u0632\u06cc \u0634\u0628\u06cc\u0647 \u0628\u0647 \u0627\u06cc\u0646:<\/p>\n<pre><code class=\"hljs\">((478   4)\n(   6  70))\n<\/code><\/pre>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645\u060c \u0645\u0642\u062f\u0627\u0631 \u062e\u0637\u0627\u0647\u0627 \u0628\u06cc\u0646 \u0645\u0634\u0631\u0648\u0639 \u0648 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0645\u062a\u0639\u0627\u062f\u0644 \u0627\u0633\u062a\u060c \u0628\u0647 \u0637\u0648\u0631\u06cc \u06a9\u0647 4 \u067e\u06cc\u0627\u0645 \u0642\u0627\u0646\u0648\u0646\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0648 6 \u067e\u06cc\u0627\u0645 \u0647\u0631\u0632\u0646\u0627\u0645\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u0634\u0631\u0648\u0639 \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u0645\u06cc \u0634\u0648\u0646\u062f.  \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc\u060c \u0627\u06cc\u0646\u0647\u0627 \u0646\u062a\u0627\u06cc\u062c \u0628\u0633\u06cc\u0627\u0631 \u062e\u0648\u0628\u06cc \u0628\u0631\u0627\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0646\u0646\u062f\u0647 \u0633\u0627\u062f\u0647 \u0645\u0627 \u0647\u0633\u062a\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 \u0634\u0627\u0647\u062f \u06cc\u06a9 \u06a9\u0631\u0634-\u06a9\u0648\u0631\u0633 \u0628\u0648\u062f\u0647 \u0627\u06cc\u0645 \u0631\u0648\u06cc \u0647\u0645 \u062a\u0626\u0648\u0631\u06cc \u0648 \u0647\u0645 \u0639\u0645\u0644 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u06a9\u0646\u0646\u062f\u0647 \u0633\u0627\u062f\u0647\u200c\u0644\u0648\u062d \u0628\u06cc\u0632.  \u0645\u0627 \u06cc\u06a9 \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u06a9\u0646\u0646\u062f\u0647 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