{"id":476450,"date":"2023-08-09T07:29:55","date_gmt":"2023-08-09T07:29:55","guid":{"rendered":""},"modified":"2023-09-05T11:12:45","modified_gmt":"2023-09-05T11:12:45","slug":"cosine-similarity","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ar\/wiki\/cosine-similarity\/","title":{"rendered":"\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645"},"content":{"rendered":"<p>\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 \u0645\u0641\u0647\u0648\u0645 \u0623\u0633\u0627\u0633\u064a \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 (NLP) \u064a\u0642\u064a\u0633 \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0628\u064a\u0646 \u0645\u062a\u062c\u0647\u064a\u0646 \u063a\u064a\u0631 \u0635\u0641\u0631\u064a\u064a\u0646 \u0641\u064a \u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u062f\u0627\u062e\u0644\u064a\u0629. \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0648\u0627\u0633\u0639 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0627\u0633\u062a\u0631\u062c\u0627\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0648\u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0646\u0635\u0648\u0635 \u0648\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u0648\u0635\u064a\u0629 \u0648\u0627\u0644\u0645\u0632\u064a\u062f. \u0633\u0648\u0641 \u062a\u062a\u0639\u0645\u0642 \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0641\u064a \u0627\u0644\u062a\u0627\u0631\u064a\u062e \u0648\u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u062f\u0627\u062e\u0644\u064a\u0629 \u0648\u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0648\u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a \u0648\u0627\u0644\u0645\u0646\u0638\u0648\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0644\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645.<\/p>\n<h2>\u062a\u0627\u0631\u064a\u062e \u0623\u0635\u0644 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0623\u0648\u0644 \u0630\u0643\u0631 \u0644\u0647<\/h2>\n<p>\u064a\u0645\u0643\u0646 \u0625\u0631\u062c\u0627\u0639 \u0645\u0641\u0647\u0648\u0645 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0625\u0644\u0649 \u0623\u0648\u0627\u0626\u0644 \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u062a\u0627\u0633\u0639 \u0639\u0634\u0631 \u0639\u0646\u062f\u0645\u0627 \u0642\u062f\u0645\u0647 \u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0633\u0648\u064a\u0633\u0631\u064a \u0623\u062f\u0631\u064a\u0627\u0646 \u0645\u0627\u0631\u064a \u0644\u064a\u062c\u064a\u0646\u062f\u0631 \u0643\u062c\u0632\u0621 \u0645\u0646 \u0639\u0645\u0644\u0647 \u0639\u0644\u0649 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a\u0629. \u0644\u0627\u062d\u0642\u064b\u0627\u060c \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646\u060c \u0648\u062c\u062f \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0637\u0631\u064a\u0642\u0647 \u0625\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0633\u062a\u0631\u062c\u0627\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0648\u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u0644\u063a\u0648\u064a\u0629 \u0627\u0644\u0639\u0635\u0628\u064a\u0629 \u0643\u0645\u0642\u064a\u0627\u0633 \u0645\u0641\u064a\u062f \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a \u0648\u062a\u0634\u0627\u0628\u0647 \u0627\u0644\u0646\u0635.<\/p>\n<h2>\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0645\u0641\u0635\u0644\u0629 \u0639\u0646 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u062a\u0648\u0633\u064a\u0639 \u0627\u0644\u0645\u0648\u0636\u0648\u0639 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u062a\u0634\u0627\u0628\u0647<\/h2>\n<p>\u064a\u062d\u0633\u0628 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0645\u062a\u062c\u0647\u064a\u0646\u060c \u064a\u0645\u062b\u0644\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a \u0623\u0648 \u0627\u0644\u0646\u0635\u0648\u0635 \u0627\u0644\u062a\u064a \u062a\u062a\u0645 \u0645\u0642\u0627\u0631\u0646\u062a\u0647\u0627\u060c \u0641\u064a \u0645\u0633\u0627\u062d\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f. \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0628\u064a\u0646 \u0645\u062a\u062c\u0647\u064a\u0646\u060c A \u0648B\u060c \u0647\u064a:<\/p>\n<pre><div class=\"bg-black rounded-md mb-4\"><div class=\"flex items-center relative text-gray-200 bg-gray-800 px-4 py-2 text-xs font-sans justify-between rounded-t-md\"><span>\u0627\u0644\u0645\u063a\u0644\u0642<\/span><button class=\"flex ml-auto gap-2\"><svg stroke=\"currentColor\" fill=\"none\" stroke-width=\"2\" viewbox=\"0 0 24 24\" stroke-linecap=\"round\" stroke-linejoin=\"round\" class=\"h-4 w-4\" height=\"1em\" width=\"1em\" ><path d=\"M16 4h2a2 2 0 0 1 2 2v14a2 2 0 0 1-2 2H6a2 2 0 0 1-2-2V6a2 2 0 0 1 2-2h2\"><\/path><rect x=\"8\" y=\"2\" width=\"8\" height=\"4\" rx=\"1\" ry=\"1\"><\/rect><\/svg>\u0631\u0645\u0632 \u0627\u0644\u0646\u0633\u062e<\/button><\/div><div class=\"p-4 overflow-y-auto\"><code class=\"!whitespace-pre hljs language-css\" data-no-translation=\"\">Cosine Similarity(<span class=\"hljs-selector-tag\">A<\/span>, <span class=\"hljs-selector-tag\">B<\/span>) = (<span class=\"hljs-selector-tag\">A<\/span> \u00b7 <span class=\"hljs-selector-tag\">B<\/span>) \/ (||<span class=\"hljs-selector-tag\">A<\/span>|| * ||<span class=\"hljs-selector-tag\">B<\/span>||)\n<\/code><\/div><\/div><\/pre>\n<p>\u0623\u064a\u0646 <code data-no-translation=\"\">(A \u00b7 B)<\/code> \u064a\u0645\u062b\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0646\u0642\u0637\u064a \u0644\u0644\u0645\u062a\u062c\u0647\u064a\u0646 A \u0648 B\u060c \u0648 <code data-no-translation=\"\">||A||<\/code> \u0648 <code data-no-translation=\"\">||B||<\/code> \u0647\u064a \u0645\u0642\u0627\u062f\u064a\u0631 (\u0623\u0648 \u0645\u0639\u0627\u064a\u064a\u0631) \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a A \u0648 B\u060c \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a.<\/p>\n<p>\u064a\u062a\u0631\u0627\u0648\u062d \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0645\u0646 -1 \u0625\u0644\u0649 1\u060c \u062d\u064a\u062b \u064a\u0634\u064a\u0631 -1 \u0625\u0644\u0649 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641 \u0627\u0644\u0643\u0627\u0645\u0644\u060c \u0648\u064a\u0634\u064a\u0631 1 \u0625\u0644\u0649 \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0627\u0644\u0645\u0637\u0644\u0642\u060c \u0648\u064a\u0634\u064a\u0631 0 \u0625\u0644\u0649 \u0627\u0644\u062a\u0639\u0627\u0645\u062f (\u0644\u0627 \u064a\u0648\u062c\u062f \u062a\u0634\u0627\u0628\u0647).<\/p>\n<h2>\u0627\u0644\u0647\u064a\u0643\u0644 \u0627\u0644\u062f\u0627\u062e\u0644\u064a \u0644\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u0643\u064a\u0641 \u064a\u0639\u0645\u0644 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/h2>\n<p>\u064a\u0639\u0645\u0644 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0646\u0635\u064a\u0629 \u0625\u0644\u0649 \u062a\u0645\u062b\u064a\u0644\u0627\u062a \u0631\u0642\u0645\u064a\u0629 (\u0646\u0627\u0642\u0644\u0627\u062a) \u0641\u064a \u0645\u0633\u0627\u062d\u0629 \u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f. \u064a\u062a\u0648\u0627\u0641\u0642 \u0643\u0644 \u0628\u064f\u0639\u062f \u0645\u0639 \u0645\u0635\u0637\u0644\u062d \u0641\u0631\u064a\u062f \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u064a\u062a\u0645 \u0628\u0639\u062f \u0630\u0644\u0643 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0628\u064a\u0646 \u0648\u062b\u064a\u0642\u062a\u064a\u0646 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0645\u0627.<\/p>\n<p>\u062a\u062a\u0636\u0645\u0646 \u0639\u0645\u0644\u064a\u0629 \u062d\u0633\u0627\u0628 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li>\u0627\u0644\u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0645\u0633\u0628\u0642\u0629 \u0644\u0644\u0646\u0635: \u0642\u0645 \u0628\u0625\u0632\u0627\u0644\u0629 \u0643\u0644\u0645\u0627\u062a \u0627\u0644\u062a\u0648\u0642\u0641 \u0648\u0627\u0644\u0623\u062d\u0631\u0641 \u0627\u0644\u062e\u0627\u0635\u0629 \u0648\u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0642\u0637\u0639 \u0623\u0648 \u0627\u0644\u062a\u062c\u0633\u064a\u062f \u0644\u062a\u0648\u062d\u064a\u062f \u0627\u0644\u0646\u0635.<\/li>\n<li>\u062d\u0633\u0627\u0628 \u062a\u0643\u0631\u0627\u0631 \u0627\u0644\u0645\u0635\u0637\u0644\u062d (TF): \u062d\u0633\u0627\u0628 \u062a\u0643\u0631\u0627\u0631 \u0643\u0644 \u0645\u0635\u0637\u0644\u062d \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0646\u062f.<\/li>\n<li>\u062d\u0633\u0627\u0628 \u062a\u0643\u0631\u0627\u0631 \u0627\u0644\u0645\u0633\u062a\u0646\u062f \u0627\u0644\u0639\u0643\u0633\u064a (IDF): \u0642\u0645 \u0628\u0642\u064a\u0627\u0633 \u0623\u0647\u0645\u064a\u0629 \u0643\u0644 \u0645\u0635\u0637\u0644\u062d \u0639\u0628\u0631 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a \u0644\u0625\u0639\u0637\u0627\u0621 \u0648\u0632\u0646 \u0623\u0643\u0628\u0631 \u0644\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0646\u0627\u062f\u0631\u0629.<\/li>\n<li>\u062d\u0633\u0627\u0628 TF-IDF: \u0627\u062c\u0645\u0639 \u0628\u064a\u0646 TF \u0648IDF \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0642\u0645\u064a \u0627\u0644\u0646\u0647\u0627\u0626\u064a \u0644\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a.<\/li>\n<li>\u062d\u0633\u0627\u0628 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645: \u062d\u0633\u0627\u0628 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062a\u062c\u0647\u0627\u062a TF-IDF \u0644\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a.<\/li>\n<\/ol>\n<h2>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0633\u0645\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/h2>\n<p>\u064a\u0648\u0641\u0631 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062c\u0639\u0644\u0647 \u062e\u064a\u0627\u0631\u064b\u0627 \u0634\u0627\u0626\u0639\u064b\u0627 \u0644\u0645\u0647\u0627\u0645 \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0646\u0635:<\/p>\n<ol>\n<li><strong>\u0645\u0642\u064a\u0627\u0633 \u062b\u0627\u0628\u062a<\/strong>: \u0644\u0627 \u064a\u062a\u0623\u062b\u0631 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0628\u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647 \u0642\u0648\u064a\u064b\u0627 \u0623\u0645\u0627\u0645 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u0627\u062a \u0641\u064a \u0623\u0637\u0648\u0627\u0644 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\u0627\u0644\u062b\u0646\u0627\u0626\u064a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a<\/td>\n<td>\u0642\u0648\u0629 \u0627\u0644\u0639\u0645\u0644-\u062c\u064a\u0634 \u0627\u0644\u062f\u0641\u0627\u0639 \u0627\u0644\u0625\u0633\u0631\u0627\u0626\u064a\u0644\u064a<\/td>\n<td>\u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062a\u0641\u0633\u064a\u0631<\/td>\n<td>\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 (-1 \u0625\u0644\u0649 1)<\/td>\n<td>\u062b\u0646\u0627\u0626\u064a (0 \u0623\u0648 1)<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u0646\u0627\u0633\u0628 \u0644<\/td>\n<td>\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0629 \u0625\u0644\u0649 \u0627\u0644\u0646\u0635<\/td>\n<td>\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a 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\u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0646\u062d\u0648\u064a\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0623\u0648 \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0643\u0644\u0645\u0627\u062a.<\/li>\n<\/ul>\n<p>\u0644\u0644\u062a\u063a\u0644\u0628 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0642\u0646\u064a\u0627\u062a \u0645\u062b\u0644 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0623\u0628\u0639\u0627\u062f (\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0641\u0631\u062f\u0629) \u0648\u062a\u0636\u0645\u064a\u0646 \u0627\u0644\u0643\u0644\u0645\u0627\u062a (\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c Word2Vec) \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0623\u062f\u0627\u0621.<\/p>\n<h2>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0648\u0645\u0642\u0627\u0631\u0646\u0627\u062a \u0623\u062e\u0631\u0649 \u0645\u0639 \u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0645\u0645\u0627\u062b\u0644\u0629<\/h2>\n<table>\n<thead>\n<tr>\n<th><\/th>\n<th>\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/th>\n<th>\u062a\u0634\u0627\u0628\u0647 \u062c\u0627\u0643\u0627\u0631\u062f<\/th>\n<th>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0625\u0642\u0644\u064a\u062f\u064a\u0629<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0646\u0648\u0639 \u0627\u0644\u0642\u064a\u0627\u0633<\/td>\n<td>\u062a\u0634\u0627\u0628\u0647<\/td>\n<td>\u062a\u0634\u0627\u0628\u0647<\/td>\n<td>\u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641<\/td>\n<\/tr>\n<tr>\n<td>\u064a\u062a\u0631\u0627\u0648\u062d<\/td>\n<td>-1 \u0625\u0644\u0649 1<\/td>\n<td>0 \u0625\u0644\u0649 1<\/td>\n<td>\u0645\u0646 0 \u0625\u0644\u0649 \u221e<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062a\u0637\u0628\u064a\u0642<\/td>\n<td>\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0646\u0635<\/td>\n<td>\u0636\u0628\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629<\/td>\n<td>\u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0639\u062f\u062f\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0623\u0628\u0639\u0627\u062f<\/td>\n<td>\u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f<\/td>\n<td>\u0645\u0646\u062e\u0641\u0636\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f<\/td>\n<td>\u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u062d\u0633\u0627\u0628<\/td>\n<td>\u0641\u0639\u0627\u0644<\/td>\n<td>\u0641\u0639\u0627\u0644<\/td>\n<td>\u0645\u0643\u062b\u0641\u0629 \u062d\u0633\u0627\u0628\u064a\u0627<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0648\u062c\u0647\u0627\u062a \u0646\u0638\u0631 \u0648\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/h2>\n<p>\u0645\u0639 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0627\u0644\u062a\u0642\u062f\u0645 \u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u060c \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u064a\u0638\u0644 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0623\u062f\u0627\u0629 \u0642\u064a\u0645\u0629 \u0641\u064a \u0645\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a. \u0648\u0645\u0639 \u0638\u0647\u0648\u0631 \u0623\u062c\u0647\u0632\u0629 \u0648\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a 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\u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a\u060c \u0648\u062a\u062d\u0633\u064a\u0646 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0628\u062d\u062b \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0628\u064a\u0646 \u0627\u0633\u062a\u0639\u0644\u0627\u0645\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645 \u0648\u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a \u0627\u0644\u0645\u0641\u0647\u0631\u0633\u0629.<\/p>\n<h2>\u0631\u0648\u0627\u0628\u0637 \u0630\u0627\u062a \u0639\u0644\u0627\u0642\u0629<\/h2>\n<p>\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0631\u062c\u0648\u0639 \u0625\u0644\u0649 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Cosine_similarity\" target=\"_new\" rel=\"noopener nofollow\">\u0648\u064a\u0643\u064a\u0628\u064a\u062f\u064a\u0627 \u2013 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/a><\/li>\n<li><a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.metrics.pairwise.cosine_similarity.html\" target=\"_new\" rel=\"noopener nofollow\">Scikit-Learn \u2013 \u062a\u0634\u0627\u0628\u0647 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/a><\/li>\n<li><a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.feature_extraction.text.TfidfVectorizer.html\" target=\"_new\" rel=\"noopener nofollow\">TfidfVectorizer \u2013 \u0648\u062b\u0627\u0626\u0642 Sklearn<\/a><\/li>\n<li><a href=\"https:\/\/nlp.stanford.edu\/IR-book\/\" target=\"_new\" rel=\"noopener nofollow\">\u0645\u0642\u062f\u0645\u0629 \u0641\u064a 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\u0625\u0646 \u0628\u0633\u0627\u0637\u062a\u0647 \u0648\u0643\u0641\u0627\u0621\u062a\u0647 \u0648\u0642\u0627\u0628\u0644\u064a\u062a\u0647 \u0644\u0644\u062a\u0641\u0633\u064a\u0631 \u062a\u062c\u0639\u0644\u0647 \u062e\u064a\u0627\u0631\u064b\u0627 \u0634\u0627\u0626\u0639\u064b\u0627 \u0644\u0645\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u0647\u0627\u0645 \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0629 \u0625\u0644\u0649 \u0627\u0644\u0646\u0635\u0648\u0635\u060c \u0648\u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u062a\u0624\u062f\u064a \u0627\u0644\u062a\u0637\u0648\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0641\u064a \u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0627 \u0625\u0644\u0649 \u0632\u064a\u0627\u062f\u0629 \u062a\u0639\u0632\u064a\u0632 \u0642\u062f\u0631\u0627\u062a\u0647 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644. \u0645\u0639 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0627\u0644\u0634\u0631\u0643\u0627\u062a \u0648\u0627\u0644\u0628\u0627\u062d\u062b\u064a\u0646 \u0641\u064a \u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646 \u0625\u0645\u0643\u0627\u0646\u0627\u062a \u062a\u0634\u0627\u0628\u0647 Cosine\u060c \u0633\u062a\u0644\u0639\u0628 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0645\u062b\u0644 OneProxy \u062f\u0648\u0631\u064b\u0627 \u062d\u064a\u0648\u064a\u064b\u0627 \u0641\u064a \u062f\u0639\u0645 \u0647\u0630\u0647 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0645\u0639 \u0636\u0645\u0627\u0646 \u0627\u0644\u0648\u0635\u0648\u0644 \u0627\u0644\u0622\u0645\u0646 \u0648\u0627\u0644\u0645\u062c\u0647\u0648\u0644 \u0625\u0644\u0649 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a.<\/p>","protected":false},"featured_media":468030,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-476450","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Cosine Similarity: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What is Cosine similarity?","answer":"<p>Cosine similarity is a mathematical concept used to measure the similarity between two vectors in a multi-dimensional space. It is commonly applied in text analysis, recommendation systems, and information retrieval tasks.<\/p>"},{"question":"How does Cosine similarity work?","answer":"<p>Cosine similarity calculates the cosine of the angle between two vectors, representing the documents being compared. It ranges from -1 to 1, where -1 indicates complete dissimilarity, 1 indicates absolute similarity, and 0 indicates orthogonality (no similarity).<\/p>"},{"question":"What are the key features of Cosine similarity?","answer":"<p>Cosine similarity offers scale invariance, efficiency, interpretability, and the ability to measure textual semantic similarity.<\/p>"},{"question":"What types of Cosine similarity exist?","answer":"<p>There are two primary types: Classic Cosine Similarity, which uses TF-IDF representation, and Binary Cosine Similarity, which utilizes binary vectors.<\/p>"},{"question":"How can Cosine similarity be used?","answer":"<p>Cosine similarity finds applications in various fields, including information retrieval, document clustering, collaborative filtering, and plagiarism detection.<\/p>"},{"question":"What challenges does Cosine similarity face?","answer":"<p>Cosine similarity may encounter issues with sparsity and language dependence in certain scenarios. Techniques like dimensionality reduction and word embeddings can address these challenges.<\/p>"},{"question":"How does Cosine similarity compare to other similarity measures?","answer":"<p>Cosine similarity is distinct from Jaccard similarity and Euclidean distance in terms of range, applicability, dimensionality, and computation.<\/p>"},{"question":"What are the future perspectives of Cosine similarity?","answer":"<p>As technology advances, Cosine similarity is expected to remain a valuable tool with enhanced efficiency and accuracy in similarity calculations.<\/p>"},{"question":"How are proxy servers associated with Cosine similarity?","answer":"<p>While proxy servers like OneProxy don't directly utilize Cosine similarity, they can support applications that involve text comparison and content-based filtering, such as recommendation systems and information retrieval tasks. They also ensure secure internet access during these operations.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/476450","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/476450\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media\/468030"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media?parent=476450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}