{"id":477327,"date":"2023-08-09T09:11:08","date_gmt":"2023-08-09T09:11:08","guid":{"rendered":""},"modified":"2023-11-30T03:40:47","modified_gmt":"2023-11-30T03:40:47","slug":"gaussian-mixture-models","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ar\/wiki\/gaussian-mixture-models\/","title":{"rendered":"\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a"},"content":{"rendered":"<p>\u062a\u0639\u062f \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a (GMMs) \u0623\u062f\u0627\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0642\u0648\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0648\u0647\u064a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0641\u0626\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0648\u062a\u0633\u062a\u062e\u062f\u0645 \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0648\u0627\u0633\u0639 \u0641\u064a \u0645\u0647\u0627\u0645 \u0627\u0644\u062a\u062c\u0645\u064a\u0639 \u0648\u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0648\u0627\u0644\u062a\u0635\u0646\u064a\u0641. \u062a\u0639\u062f \u0646\u0645\u0627\u0630\u062c GMM \u0641\u0639\u0627\u0644\u0629 \u0628\u0634\u0643\u0644 \u062e\u0627\u0635 \u0639\u0646\u062f \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0627\u0644\u062a\u064a \u0644\u0627 \u064a\u0645\u0643\u0646 \u0646\u0645\u0630\u062c\u062a\u0647\u0627 \u0628\u0633\u0647\u0648\u0644\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0645\u0643\u0648\u0646 \u0648\u0627\u062d\u062f \u0645\u062b\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u063a\u0648\u0633\u064a.<\/p>\n<h2>\u062a\u0627\u0631\u064a\u062e \u0623\u0635\u0644 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u0637\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0648\u0623\u0648\u0644 \u0630\u0643\u0631 \u0644\u0647\u0627<\/h2>\n<p>\u064a\u0645\u0643\u0646 \u0625\u0631\u062c\u0627\u0639 \u0645\u0641\u0647\u0648\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0627\u0648\u0633\u064a \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 \u0637\u0648\u0631 \u0643\u0627\u0631\u0644 \u0641\u0631\u064a\u062f\u0631\u064a\u0634 \u063a\u0627\u0648\u0633 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u063a\u0627\u0648\u0633\u064a\u060c \u0627\u0644\u0645\u0639\u0631\u0648\u0641 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0648\u0627\u0636\u062d\u0629 \u0644\u0646\u0645\u0627\u0630\u062c GMM \u0643\u0646\u0645\u0648\u0630\u062c \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0639\u0632\u0649 \u0625\u0644\u0649 \u0622\u0631\u062b\u0631 \u0625\u0631\u062f\u064a\u0644\u064a\u060c \u0627\u0644\u0630\u064a \u0630\u0643\u0631 \u0641\u0643\u0631\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0641\u064a \u0639\u0645\u0644\u0647 \u062d\u0648\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0641\u064a \u0639\u0627\u0645 1941. \u0648\u0641\u064a \u0648\u0642\u062a \u0644\u0627\u062d\u0642\u060c \u0641\u064a \u0639\u0627\u0645 1969\u060c \u0638\u0647\u0631\u062a \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u062a\u0648\u0642\u0639 (EM) \u062a\u0645 \u062a\u0642\u062f\u064a\u0645\u0647 \u0643\u0637\u0631\u064a\u0642\u0629 \u062a\u0643\u0631\u0627\u0631\u064a\u0629 \u0644\u062a\u0631\u0643\u064a\u0628 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0627\u0648\u0633\u064a\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647\u0627 \u0645\u062c\u062f\u064a\u0629 \u062d\u0633\u0627\u0628\u064a\u064b\u0627 \u0644\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629.<\/p>\n<h2>\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0645\u0641\u0635\u0644\u0629 \u0639\u0646 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a<\/h2>\n<p>\u062a\u0639\u062a\u0645\u062f \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u0639\u0644\u0649 \u0627\u0641\u062a\u0631\u0627\u0636 \u0623\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u064a\u062a\u0645 \u0625\u0646\u0634\u0627\u0624\u0647\u0627 \u0645\u0646 \u062e\u0644\u064a\u0637 \u0645\u0646 \u0639\u062f\u0629 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u063a\u0627\u0648\u0633\u064a\u0629\u060c \u064a\u0645\u062b\u0644 \u0643\u0644 \u0645\u0646\u0647\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0645\u064a\u0632\u0629 \u0623\u0648 \u0645\u0643\u0648\u0646\u064b\u0627 \u0645\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629\u060c \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644 GMM \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/oneproxy.pro\/images\/gmm_formula.png\" alt=\"\u0635\u064a\u063a\u0629 \u062c\u064a \u0625\u0645 \u0625\u0645\" title=\"\"><\/p>\n<p>\u0623\u064a\u0646:<\/p>\n<ul>\n<li>N(x | \u03bc\u1d62, \u03a3\u1d62) \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 (PDF) \u0644\u0644\u0645\u0643\u0648\u0646 \u0627\u0644\u063a\u0648\u0633\u064a i \u0645\u0639 \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u03bc\u1d62 \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u03a3\u1d62.<\/li>\n<li>\u064a\u0645\u062b\u0644 \u03c0\u1d62 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062e\u0644\u0637 \u0644\u0644\u0645\u0643\u0648\u0646 i\u060c \u0645\u0645\u0627 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u062a\u0646\u062a\u0645\u064a \u0646\u0642\u0637\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0630\u0644\u0643 \u0627\u0644\u0645\u0643\u0648\u0646.<\/li>\n<li>K \u0647\u0648 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a \u0644\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u062e\u0644\u064a\u0637.<\/li>\n<\/ul>\n<p>\u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0648\u0631\u0627\u0621 GMMs \u0647\u064a \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062b\u0644\u0649 \u0644\u0640 \u03c0\u1d62\u060c \u03bc\u1d62\u060c \u0648\u03a3\u1d62 \u0627\u0644\u062a\u064a \u062a\u0634\u0631\u062d \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0631\u0635\u0648\u062f\u0629 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644. \u0648\u064a\u062a\u0645 \u0630\u0644\u0643 \u0639\u0627\u062f\u0629\u064b \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u062a\u0648\u0642\u0639\u0627\u062a (EM)\u060c \u0627\u0644\u062a\u064a \u062a\u0642\u0648\u0645 \u0628\u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u0644\u0632\u064a\u0627\u062f\u0629 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0639\u0637\u0627\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c.<\/p>\n<h2>\u0627\u0644\u0647\u064a\u0643\u0644 \u0627\u0644\u062f\u0627\u062e\u0644\u064a \u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u0637\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644\u0647\u0627<\/h2>\n<p>\u064a\u062a\u0643\u0648\u0646 \u0627\u0644\u0647\u064a\u0643\u0644 \u0627\u0644\u062f\u0627\u062e\u0644\u064a \u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u0645\u0646:<\/p>\n<ol>\n<li><strong>\u0627\u0644\u062a\u0647\u064a\u0626\u0629<\/strong>: \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629\u060c \u064a\u062a\u0645 \u062a\u0632\u0648\u064a\u062f \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0645\u062c\u0645\u0648\u0639\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0645\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0644\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629\u060c \u0645\u062b\u0644 \u0627\u0644\u0645\u062a\u0648\u0633\u0637\u0627\u062a \u0648\u0627\u0644\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0648\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0644\u0637.<\/li>\n<li><strong>\u062e\u0637\u0648\u0629 \u0627\u0644\u062a\u0648\u0642\u0639<\/strong>: \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062e\u0637\u0648\u0629\u060c \u062a\u0642\u0648\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 EM \u0628\u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a (\u0627\u0644\u0645\u0633\u0624\u0648\u0644\u064a\u0627\u062a) \u0627\u0644\u062e\u0644\u0641\u064a\u0629 \u0644\u0643\u0644 \u0646\u0642\u0637\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0643\u0644 \u0645\u0643\u0648\u0646 \u063a\u0648\u0633\u064a. \u0648\u064a\u062a\u0645 \u0630\u0644\u0643 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632.<\/li>\n<li><strong>\u062e\u0637\u0648\u0629 \u0627\u0644\u062a\u0639\u0638\u064a\u0645<\/strong>: \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0633\u0624\u0648\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629\u060c \u062a\u0642\u0648\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 EM \u0628\u062a\u062d\u062f\u064a\u062b \u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0644\u0632\u064a\u0627\u062f\u0629 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0623\u0642\u0635\u0649 \u062d\u062f.<\/li>\n<li><strong>\u062a\u0643\u0631\u0627\u0631<\/strong>: \u064a\u062a\u0645 \u062a\u0643\u0631\u0627\u0631 \u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u0648\u0642\u0639 \u0648\u0627\u0644\u062a\u0639\u0638\u064a\u0645 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u062d\u062a\u0649 \u064a\u062a\u0642\u0627\u0631\u0628 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0625\u0644\u0649 \u062d\u0644 \u0645\u0633\u062a\u0642\u0631.<\/li>\n<\/ol>\n<p>\u062a\u0639\u0645\u0644 GMMs \u0645\u0646 \u062e\u0644\u0627\u0644 \u0625\u064a\u062c\u0627\u062f \u0623\u0641\u0636\u0644 \u062e\u0644\u064a\u0637 \u0645\u0646 Gaussians \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0645\u062b\u0644 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a. \u062a\u0639\u062a\u0645\u062f \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0639\u0644\u0649 \u062a\u0648\u0642\u0639 \u0623\u0646 \u0643\u0644 \u0646\u0642\u0637\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u062a\u0623\u062a\u064a \u0645\u0646 \u0623\u062d\u062f \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629\u060c \u0648\u062a\u062d\u062f\u062f \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0644\u0637 \u0623\u0647\u0645\u064a\u0629 \u0643\u0644 \u0645\u0643\u0648\u0646 \u0641\u064a \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a.<\/p>\n<h2>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0633\u0645\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a<\/h2>\n<p>\u062a\u0645\u062a\u0644\u0643 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0627\u0648\u0633\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062c\u0639\u0644\u0647\u0627 \u062e\u064a\u0627\u0631\u064b\u0627 \u0634\u0627\u0626\u0639\u064b\u0627 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629:<\/p>\n<ol>\n<li><strong>\u0627\u0644\u0645\u0631\u0648\u0646\u0629<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0646\u0645\u0627\u0630\u062c GMM \u0623\u0646 \u062a\u0642\u0648\u0645 \u0628\u0646\u0645\u0630\u062c\u0629 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u0648\u0636\u0627\u0639 \u0645\u062a\u0639\u062f\u062f\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0628\u062a\u0645\u062b\u064a\u0644 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629 \u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0639\u0627\u0644\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a.<\/li>\n<li><strong>\u0627\u0644\u062a\u062c\u0645\u0639\u0627\u062a \u0627\u0644\u0646\u0627\u0639\u0645\u0629<\/strong>: \u0639\u0644\u0649 \u0639\u0643\u0633 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0635\u0644\u0628\u0629 \u0627\u0644\u062a\u064a \u062a\u0642\u0648\u0645 \u0628\u062a\u0639\u064a\u064a\u0646 \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u062a\u0648\u0641\u0631 GMMs \u062a\u062c\u0645\u064a\u0639\u064b\u0627 \u0646\u0627\u0639\u0645\u064b\u0627\u060c \u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0646\u062a\u0645\u064a \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629 \u0628\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629.<\/li>\n<li><strong>\u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a<\/strong>: \u062a\u0642\u062f\u0645 GMMs \u0625\u0637\u0627\u0631\u064b\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u064b\u0627 \u064a\u0648\u0641\u0631 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0623\u0641\u0636\u0644 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062e\u0627\u0637\u0631.<\/li>\n<li><strong>\u0627\u0644\u0645\u062a\u0627\u0646\u0629<\/strong>: GMMs \u0642\u0648\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0632\u0639\u062c\u0629 \u0648\u064a\u0645\u0643\u0646\u0647\u0627 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0641\u0642\u0648\u062f\u0629 \u0628\u0641\u0639\u0627\u0644\u064a\u0629.<\/li>\n<li><strong>\u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0648\u0633\u0639<\/strong>: \u0627\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u0648\u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u062c\u0639\u0644 \u0646\u0645\u0627\u0630\u062c GMM \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0637\u0648\u064a\u0631 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0643\u0628\u064a\u0631\u0629.<\/li>\n<\/ol>\n<h2>\u0623\u0646\u0648\u0627\u0639 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a<\/h2>\n<p>\u064a\u0645\u0643\u0646 \u062a\u0635\u0646\u064a\u0641 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u062e\u0635\u0627\u0626\u0635 \u0645\u062e\u062a\u0644\u0641\u0629. \u0628\u0639\u0636 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u062a\u0634\u0645\u0644:<\/p>\n<ol>\n<li><strong>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0642\u0637\u0631\u064a GMM<\/strong>: \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u060c \u064a\u062d\u062a\u0648\u064a \u0643\u0644 \u0645\u0643\u0648\u0646 \u063a\u0627\u0648\u0633\u064a \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0627\u0644\u0642\u0637\u0631\u064a\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0645\u0641\u062a\u0631\u0636 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u063a\u064a\u0631 \u0645\u062a\u0631\u0627\u0628\u0637\u0629.<\/li>\n<li><strong>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 GMM<\/strong>: \u0647\u0646\u0627\u060c \u062a\u0634\u062a\u0631\u0643 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0641\u064a \u0646\u0641\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a.<\/li>\n<li><strong>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0643\u0627\u0645\u0644 GMM<\/strong>: \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639\u060c \u064a\u0643\u0648\u0646 \u0644\u0643\u0644 \u0645\u0643\u0648\u0646 \u063a\u0627\u0648\u0633\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0628\u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0627\u0644\u062a\u0639\u0633\u0641\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a.<\/li>\n<li><strong>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0643\u0631\u0648\u064a GMM<\/strong>: \u064a\u0641\u062a\u0631\u0636 \u0647\u0630\u0627 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0644\u0647\u0627 \u0646\u0641\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0627\u0644\u0643\u0631\u0648\u064a.<\/li>\n<li><strong>\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u0637\u0629 \u0627\u0644\u0628\u0627\u064a\u0632\u064a\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629<\/strong>: \u062a\u062a\u0636\u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0645\u0639\u0631\u0641\u0629 \u0645\u0633\u0628\u0642\u0629 \u062d\u0648\u0644 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0642\u0646\u064a\u0627\u062a \u0628\u0627\u064a\u0632\u064a\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647\u0627 \u0623\u0643\u062b\u0631 \u0642\u0648\u0629 \u0641\u064a \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u062a\u062c\u0627\u0648\u0632 \u0648\u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646.<\/li>\n<\/ol>\n<p>\u062f\u0639\u0648\u0646\u0627 \u0646\u0644\u062e\u0635 \u0623\u0646\u0648\u0627\u0639 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u0641\u064a \u062c\u062f\u0648\u0644:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u064a\u0643\u062a\u0628<\/th>\n<th>\u0635\u0641\u0627\u062a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0642\u0637\u0631\u064a GMM<\/td>\n<td>\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u063a\u064a\u0631 \u0645\u062a\u0631\u0627\u0628\u0637\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 GMM<\/td>\n<td>\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0627\u0644\u0645\u0634\u062a\u0631\u0643<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0643\u0627\u0645\u0644 GMM<\/td>\n<td>\u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0627\u0644\u062a\u0639\u0633\u0641\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0643\u0631\u0648\u064a GMM<\/td>\n<td>\u0646\u0641\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0627\u0644\u0643\u0631\u0648\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u062e\u0644\u064a\u0637 \u0628\u0627\u064a\u0632\u064a \u063a\u0627\u0648\u0633\u064a<\/td>\n<td>\u064a\u062a\u0636\u0645\u0646 \u062a\u0642\u0646\u064a\u0627\u062a \u0628\u0627\u064a\u0632\u064a<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0637\u0631\u0642 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u0637\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0648\u0645\u0634\u0643\u0644\u0627\u062a\u0647\u0627 \u0648\u062d\u0644\u0648\u0644\u0647\u0627 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645<\/h2>\n<p>\u062a\u062c\u062f \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629:<\/p>\n<ol>\n<li><strong>\u062a\u062c\u0645\u0639<\/strong>: \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0646\u0645\u0627\u0630\u062c GMM \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0648\u0627\u0633\u0639 \u0644\u062a\u062c\u0645\u064a\u0639 \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0627\u062a\u060c \u062e\u0627\u0635\u0629 \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0641\u064a\u0647\u0627 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u062a\u062f\u0627\u062e\u0644\u0629.<\/li>\n<li><strong>\u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u0643\u062b\u0627\u0641\u0629<\/strong>: \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 GMMs \u0644\u062a\u0642\u062f\u064a\u0631 \u062f\u0627\u0644\u0629 \u0643\u062b\u0627\u0641\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0639\u062a\u0628\u0631 \u0630\u0627\u062a \u0642\u064a\u0645\u0629 \u0641\u064a \u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0634\u0627\u0630\u0629 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062e\u0627\u0631\u062c\u064a.<\/li>\n<li><strong>\u062a\u0642\u0637\u064a\u0639 \u0627\u0644\u0635\u0648\u0631\u0629<\/strong>: \u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 GMMs \u0641\u064a \u0631\u0624\u064a\u0629 \u0627\u0644\u0643\u0645\u0628\u064a\u0648\u062a\u0631 \u0644\u062a\u062c\u0632\u0626\u0629 \u0627\u0644\u0623\u0634\u064a\u0627\u0621 \u0648\u0627\u0644\u0645\u0646\u0627\u0637\u0642 \u0641\u064a \u0627\u0644\u0635\u0648\u0631.<\/li>\n<li><strong>\u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0627\u0644\u0643\u0644\u0627\u0645<\/strong>: \u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 GMMs \u0641\u064a \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0627\u0644\u0643\u0644\u0627\u0645 \u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0635\u0648\u062a\u064a\u0627\u062a \u0648\u0627\u0644\u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0635\u0648\u062a\u064a\u0629.<\/li>\n<li><strong>\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u0648\u0635\u064a\u0629<\/strong>: \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c GMM \u0641\u064a \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u0648\u0635\u064a\u0629 \u0644\u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0623\u0648 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u062a\u0641\u0636\u064a\u0644\u0627\u062a\u0647\u0645.<\/li>\n<\/ol>\n<p>\u062a\u0634\u0645\u0644 \u0627\u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0640 GMMs \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ol>\n<li><strong>\u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/strong>: \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0623\u0645\u062b\u0644 \u0644\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 (K) \u0623\u0645\u0631\u064b\u0627 \u0635\u0639\u0628\u064b\u0627. \u0642\u062f \u064a\u0624\u062f\u064a \u062d\u062c\u0645 K \u0627\u0644\u0635\u063a\u064a\u0631 \u062c\u062f\u064b\u0627 \u0625\u0644\u0649 \u0646\u0642\u0635 \u0627\u0644\u062a\u062c\u0647\u064a\u0632\u060c \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u062d\u062c\u0645 K \u0627\u0644\u0643\u0628\u064a\u0631 \u062c\u062f\u064b\u0627 \u0642\u062f \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0627\u0644\u0625\u0641\u0631\u0627\u0637 \u0641\u064a \u0627\u0644\u062a\u062c\u0647\u064a\u0632.<\/li>\n<li><strong>\u0627\u0644\u062a\u0641\u0631\u062f<\/strong>: \u0639\u0646\u062f \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0635\u0628\u062d \u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0644\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u063a\u0648\u0633\u064a\u0629 \u0645\u0641\u0631\u062f\u0629. \u064a\u064f\u0639\u0631\u0641 \u0647\u0630\u0627 \u0628\u0645\u0634\u0643\u0644\u0629 &quot;\u0627\u0644\u062a\u063a\u0627\u064a\u0631 \u0627\u0644\u0645\u0641\u0631\u062f&quot;.<\/li>\n<li><strong>\u0627\u0644\u062a\u0642\u0627\u0631\u0628<\/strong>: \u0642\u062f \u0644\u0627 \u062a\u062a\u0642\u0627\u0631\u0628 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 EM \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u0639 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0645\u062b\u0644 \u0627\u0644\u0639\u0627\u0644\u0645\u064a\u060c \u0648\u0642\u062f \u062a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0639\u0645\u0644\u064a\u0627\u062a \u062a\u0647\u064a\u0626\u0629 \u0623\u0648 \u062a\u0642\u0646\u064a\u0627\u062a \u062a\u0646\u0638\u064a\u0645 \u0645\u062a\u0639\u062f\u062f\u0629 \u0644\u0644\u062a\u062e\u0641\u064a\u0641 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629.<\/li>\n<\/ol>\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<p>\u062f\u0639\u0648\u0646\u0627 \u0646\u0642\u0627\u0631\u0646 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0627\u0648\u0633\u064a \u0628\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0623\u062e\u0631\u0649 \u0645\u0634\u0627\u0628\u0647\u0629:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0634\u0631\u0637<\/th>\n<th>\u0635\u0641\u0627\u062a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>K-\u064a\u0639\u0646\u064a \u0627\u0644\u062a\u062c\u0645\u064a\u0639<\/td>\n<td>\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0627\u0644\u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0635\u0644\u0628\u0629 \u0627\u0644\u062a\u064a \u062a\u0642\u0648\u0645 \u0628\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a K \u0645\u062a\u0645\u064a\u0632\u0629. \u064a\u0642\u0648\u0645 \u0628\u062a\u0639\u064a\u064a\u0646 \u0643\u0644 \u0646\u0642\u0637\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0648\u0627\u062d\u062f\u0629. \u0644\u0627 \u064a\u0645\u0643\u0646\u0647 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629.<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0647\u0631\u0645\u064a\u0629<\/td>\n<td>\u064a\u0628\u0646\u064a \u0628\u0646\u064a\u0629 \u0634\u0628\u064a\u0647\u0629 \u0628\u0627\u0644\u0634\u062c\u0631\u0629 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0628\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u0641\u064a \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a. \u0648\u0644\u0627 \u064a\u062a\u0637\u0644\u0628 \u062a\u062d\u062f\u064a\u062f \u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u0633\u0628\u0642\u064b\u0627.<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 (PCA)<\/td>\n<td>\u062a\u0642\u0646\u064a\u0629 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062f \u0627\u0644\u0645\u062d\u0627\u0648\u0631 \u0627\u0644\u0645\u062a\u0639\u0627\u0645\u062f\u0629 \u0630\u0627\u062a \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0623\u0642\u0635\u0649 \u0641\u064a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0648\u0644\u0627 \u064a\u0623\u062e\u0630 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0645\u064a\u064a\u0632\u064a \u0627\u0644\u062e\u0637\u064a (LDA)<\/td>\n<td>\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0635\u0646\u064a\u0641 \u062e\u0627\u0636\u0639\u0629 \u0644\u0644\u0625\u0634\u0631\u0627\u0641 \u062a\u0633\u0639\u0649 \u0625\u0644\u0649 \u062a\u062d\u0642\u064a\u0642 \u0623\u0642\u0635\u0649 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u0641\u0635\u0644 \u0628\u064a\u0646 \u0627\u0644\u0641\u0626\u0627\u062a. \u0641\u0647\u0648 \u064a\u0641\u062a\u0631\u0636 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u063a\u0627\u0648\u0633\u064a\u0629 \u0644\u0644\u0641\u0626\u0627\u062a \u0648\u0644\u0643\u0646\u0647 \u0644\u0627 \u064a\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0637\u0629 \u0643\u0645\u0627 \u062a\u0641\u0639\u0644 \u0646\u0645\u0627\u0630\u062c GMM.<\/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\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a<\/h2>\n<p>\u062a\u0637\u0648\u0631\u062a \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u0628\u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0645\u0639 \u0627\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a \u0648\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629. \u062a\u062a\u0636\u0645\u0646 \u0628\u0639\u0636 \u0648\u062c\u0647\u0627\u062a \u0627\u0644\u0646\u0638\u0631 \u0648\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ol>\n<li><strong>\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a \u0627\u0644\u0639\u0645\u064a\u0642<\/strong>: \u0627\u0644\u062c\u0645\u0639 \u0628\u064a\u0646 GMMs \u0648\u0628\u0646\u064a\u0627\u062a \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0639\u0645\u064a\u0642 \u0644\u0625\u0646\u0634\u0627\u0621 \u0646\u0645\u0627\u0630\u062c \u0623\u0643\u062b\u0631 \u062a\u0639\u0628\u064a\u0631\u0627\u064b \u0648\u0642\u0648\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u062a\u062f\u0641\u0642 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong>: \u062a\u0643\u064a\u064a\u0641 GMMs \u0644\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u062f\u0641\u0642\u0629 \u0628\u0643\u0641\u0627\u0621\u0629\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647\u0627 \u0645\u0646\u0627\u0633\u0628\u0629 \u0644\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u062d\u0642\u064a\u0642\u064a.<\/li>\n<li><strong>\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u062a\u0639\u0644\u0645<\/strong>: \u062f\u0645\u062c GMMs \u0645\u0639 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0645\u0639\u0632\u0632 \u0644\u062a\u0645\u0643\u064a\u0646 \u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0623\u0641\u0636\u0644 \u0641\u064a \u0627\u0644\u0628\u064a\u0626\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u0624\u0643\u062f\u0629.<\/li>\n<li><strong>\u0627\u0644\u062a\u0643\u064a\u0641 \u0627\u0644\u0645\u062c\u0627\u0644<\/strong>: \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c GMM \u0644\u0646\u0645\u0630\u062c\u0629 \u062a\u062d\u0648\u0644\u0627\u062a \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u062a\u0643\u064a\u064a\u0641 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0645\u0639 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062c\u062f\u064a\u062f\u0629 \u0648\u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0626\u064a\u0629.<\/li>\n<li><strong>\u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0641\u0633\u064a\u0631 \u0648\u0627\u0644\u062a\u0641\u0633\u064a\u0631<\/strong>: \u062a\u0637\u0648\u064a\u0631 \u062a\u0642\u0646\u064a\u0627\u062a \u0644\u062a\u0641\u0633\u064a\u0631 \u0648\u0634\u0631\u062d \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0629 \u0625\u0644\u0649 GMM \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0638\u0631\u0629 \u062b\u0627\u0642\u0628\u0629 \u0644\u0639\u0645\u0644\u064a\u0629 \u0635\u0646\u0639 \u0627\u0644\u0642\u0631\u0627\u0631.<\/li>\n<\/ol>\n<h2>\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0623\u0648 \u0631\u0628\u0637\u0647\u0627 \u0628\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a<\/h2>\n<p>\u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0633\u062a\u0641\u064a\u062f \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0645\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c Gaussian Mixture \u0628\u0639\u062f\u0629 \u0637\u0631\u0642:<\/p>\n<ol>\n<li><strong>\u0625\u0643\u062a\u0634\u0627\u0641 \u0639\u064a\u0628 \u062e\u0644\u0642\u064a<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0645\u0648\u0641\u0631\u064a \u0627\u0644\u0648\u0643\u064a\u0644 \u0645\u062b\u0644 OneProxy \u0627\u0633\u062a\u062e\u062f\u0627\u0645 GMMs \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0623\u0646\u0645\u0627\u0637 \u0627\u0644\u0634\u0627\u0630\u0629 \u0641\u064a \u062d\u0631\u0643\u0629 \u0645\u0631\u0648\u0631 \u0627\u0644\u0634\u0628\u0643\u0629\u060c \u0648\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062a\u0647\u062f\u064a\u062f\u0627\u062a \u0627\u0644\u0623\u0645\u0646\u064a\u0629 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0623\u0648 \u0627\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0633\u064a\u0621.<\/li>\n<li><strong>\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062d\u0645\u0644<\/strong>: \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0633\u0627\u0639\u062f GMMs \u0641\u064a \u0645\u0648\u0627\u0632\u0646\u0629 \u0627\u0644\u062a\u062d\u0645\u064a\u0644 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0637\u0644\u0628\u0627\u062a \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0645\u0639\u0644\u0645\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u062a\u062e\u0635\u064a\u0635 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629.<\/li>\n<li><strong>\u062a\u062c\u0632\u0626\u0629 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0645\u0648\u0641\u0631\u064a \u0627\u0644\u062e\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0623\u0646\u0645\u0627\u0637 \u0627\u0644\u062a\u0635\u0641\u062d \u0648\u0627\u0644\u062a\u0641\u0636\u064a\u0644\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0645 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 GMMs\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u062e\u062f\u0645\u0627\u062a \u0645\u062e\u0635\u0635\u0629 \u0623\u0641\u0636\u0644.<\/li>\n<li><strong>\u0627\u0644\u062a\u0648\u062c\u064a\u0647 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0640 GMMs \u0627\u0644\u0645\u0633\u0627\u0639\u062f\u0629 \u0641\u064a \u062a\u0648\u062c\u064a\u0647 \u0627\u0644\u0637\u0644\u0628\u0627\u062a \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u064b\u0627 \u0625\u0644\u0649 \u062e\u0648\u0627\u062f\u0645 \u0628\u0631\u0648\u0643\u0633\u064a \u0645\u062e\u062a\u0644\u0641\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0648\u0627\u0644\u062a\u062d\u0645\u064a\u0644 \u0627\u0644\u0645\u0642\u062f\u0631.<\/li>\n<li><strong>\u062a\u062d\u0644\u064a\u0644 \u062d\u0631\u0643\u0629 \u0627\u0644\u0645\u0631\u0648\u0631<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0645\u0648\u0641\u0631\u064a \u0627\u0644\u0648\u0643\u064a\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 GMMs \u0644\u062a\u062d\u0644\u064a\u0644 \u062d\u0631\u0643\u0629 \u0627\u0644\u0645\u0631\u0648\u0631\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0644\u0647\u0645 \u0628\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u062a\u062d\u062a\u064a\u0629 \u0644\u0644\u062e\u0627\u062f\u0645 \u0648\u062a\u062d\u0633\u064a\u0646 \u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u062f\u0645\u0629 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645.<\/li>\n<\/ol>\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 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0644\u064a\u0637 \u0627\u0644\u063a\u0648\u0633\u064a\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li><a href=\"https:\/\/scikit-learn.org\/stable\/modules\/mixture.html\" target=\"_new\" rel=\"noopener nofollow\">\u062a\u0648\u062b\u064a\u0642 Scikit-Learn<\/a><\/li>\n<li><a href=\"https:\/\/www.springer.com\/gp\/book\/9780387310732\" target=\"_new\" rel=\"noopener nofollow\">\u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0627\u0644\u0623\u0646\u0645\u0627\u0637 \u0648\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a \u0628\u0648\u0627\u0633\u0637\u0629 \u0643\u0631\u064a\u0633\u062a\u0648\u0641\u0631 \u0628\u064a\u0634\u0648\u0628<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Expectation%E2%80%93maximization_algorithm\" target=\"_new\" rel=\"noopener nofollow\">\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u062a\u0648\u0642\u0639\u0627\u062a<\/a><\/li>\n<\/ol>","protected":false},"featured_media":497625,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477327","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Gaussian Mixture Models: An In-depth Analysis<\/mark>","faq_items":[{"question":"What are Gaussian Mixture Models (GMMs)?","answer":"Gaussian Mixture Models (GMMs) are powerful statistical models used in machine learning and data analysis. They represent data as a mixture of several Gaussian distributions, allowing them to handle complex data distributions that cannot be easily modeled by single-component distributions."},{"question":"Who introduced the concept of Gaussian Mixture Models?","answer":"While the idea of Gaussian distributions dates back to Carl Friedrich Gauss, the explicit formulation of GMMs as a probabilistic model can be attributed to Arthur Erdelyi, who mentioned the notion of a mixed normal distribution in 1941. Later, the Expectation-Maximization (EM) algorithm was introduced in 1969 as an iterative method for fitting GMMs."},{"question":"How do Gaussian Mixture Models work?","answer":"GMMs work by iteratively estimating the parameters of the Gaussian components to best explain the observed data. The Expectation-Maximization (EM) algorithm is used to calculate the probabilities of data points belonging to each component, and then update the component parameters until convergence."},{"question":"What are the key features of Gaussian Mixture Models?","answer":"GMMs are known for their flexibility in modeling complex data, soft clustering, probabilistic framework, robustness to noisy data, and scalability to large datasets."},{"question":"What types of Gaussian Mixture Models exist?","answer":"Different types of GMMs include Diagonal Covariance GMM, Tied Covariance GMM, Full Covariance GMM, Spherical Covariance GMM, and Bayesian Gaussian Mixture Models."},{"question":"How can Gaussian Mixture Models be used?","answer":"GMMs find applications in clustering, density estimation, image segmentation, speech recognition, recommendation systems, and more."},{"question":"What are some problems related to using Gaussian Mixture Models?","answer":"Some challenges include determining the optimal number of components (K), dealing with singular covariance matrices, and ensuring convergence to a global optimum."},{"question":"How might the future of Gaussian Mixture Models look?","answer":"Future perspectives include deep Gaussian Mixture Models, adaptation to streaming data, integration with reinforcement learning, and improved interpretability."},{"question":"How can proxy servers benefit from Gaussian Mixture Models?","answer":"Proxy servers can use GMMs for anomaly detection, load balancing, user segmentation, dynamic routing, and traffic analysis to enhance service quality."},{"question":"Where can I find more information about Gaussian Mixture Models?","answer":"You can explore resources like the Scikit-learn documentation, the book \"Pattern Recognition and Machine Learning\" by Christopher Bishop, and the Wikipedia page on the Expectation-Maximization algorithm. Additionally, you can learn more at OneProxy about the applications of GMMs and their use with proxy servers."}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/477327","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\/477327\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media\/497625"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media?parent=477327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}