{"id":477408,"date":"2023-08-09T09:14:25","date_gmt":"2023-08-09T09:14:25","guid":{"rendered":""},"modified":"2023-09-05T11:14:40","modified_gmt":"2023-09-05T11:14:40","slug":"hamiltonian-monte-carlo","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ar\/wiki\/hamiltonian-monte-carlo\/","title":{"rendered":"\u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648"},"content":{"rendered":"<p>\u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 (HMC) \u0647\u064a \u062a\u0642\u0646\u064a\u0629 \u0645\u062a\u0637\u0648\u0631\u0629 \u0644\u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u062a\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621 \u0627\u0644\u0628\u0627\u064a\u0632\u064a \u0648\u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u062d\u0627\u0633\u0648\u0628\u064a\u0629. 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\u0645\u0646 \u062a\u0648\u0632\u064a\u0639 \u063a\u0627\u0648\u0633\u064a \u0648\u0645\u062d\u0627\u0643\u0627\u0629 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646. \u0648\u062a\u0636\u0645\u0646 \u062e\u0637\u0648\u0629 \u0627\u0644\u0642\u0628\u0648\u0644 \u0623\u0646 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0645\u0623\u062e\u0648\u0630\u0629 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641.<\/p>\n<\/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\u0647\u0627\u0645\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648.<\/h2>\n<p>\u062a\u0642\u062f\u0645 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0632\u0627\u064a\u0627 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0637\u0631\u0642 \u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u0642\u0644\u064a\u062f\u064a\u0629:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0644\u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0641\u0639\u0627\u0644:<\/strong> \u0625\u0646 \u0645\u0624\u0633\u0633\u0629 HMC \u0642\u0627\u062f\u0631\u0629 \u0639\u0644\u0649 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0648\u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629 \u0645\u0646 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u062a\u0642\u0646\u064a\u0627\u062a \u0633\u0644\u0633\u0644\u0629 \u0645\u0627\u0631\u0643\u0648\u0641 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 (MCMC) \u0627\u0644\u0623\u062e\u0631\u0649.<\/p>\n<\/li>\n<li>\n<p><strong>\u062d\u062c\u0645 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u062a\u0643\u064a\u0641\u064a\u0629:<\/strong> \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0636\u0628\u0637 \u062d\u062c\u0645 \u062e\u0637\u0648\u0627\u062a\u0647\u0627 \u0628\u0634\u0643\u0644 \u062a\u0643\u064a\u0641\u064a \u0623\u062b\u0646\u0627\u0621 \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0644\u0647\u0627 \u0628\u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0645\u0646\u0627\u0637\u0642 \u0630\u0627\u062a \u0627\u0644\u0627\u0646\u062d\u0646\u0627\u0621\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0628\u0643\u0641\u0627\u0621\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0644\u0627 \u0636\u0628\u0637 \u064a\u062f\u0648\u064a:<\/strong> \u0639\u0644\u0649 \u0639\u0643\u0633 \u0628\u0639\u0636 \u0623\u0633\u0627\u0644\u064a\u0628 MCMC \u0627\u0644\u062a\u064a \u062a\u062a\u0637\u0644\u0628 \u0627\u0644\u0636\u0628\u0637 \u0627\u0644\u064a\u062f\u0648\u064a \u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u060c \u062a\u062a\u0637\u0644\u0628 HMC \u0639\u0627\u062f\u0629\u064b \u0645\u0639\u0644\u0645\u0627\u062a \u0636\u0628\u0637 \u0623\u0642\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0646\u062e\u0641\u0627\u0636 \u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637 \u0627\u0644\u062a\u0644\u0642\u0627\u0626\u064a:<\/strong> \u062a\u0645\u064a\u0644 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0625\u0644\u0649 \u0625\u0646\u062a\u0627\u062c \u0639\u064a\u0646\u0627\u062a \u0630\u0627\u062a \u0627\u0631\u062a\u0628\u0627\u0637 \u0630\u0627\u062a\u064a \u0623\u0642\u0644\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u062a\u0642\u0627\u0631\u0628\u064b\u0627 \u0623\u0633\u0631\u0639 \u0648\u062a\u0642\u062f\u064a\u0631\u064b\u0627 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u062c\u0646\u0628 \u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0634\u064a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a:<\/strong> \u0639\u0644\u0649 \u0639\u0643\u0633 \u0623\u0633\u0627\u0644\u064a\u0628 MCMC \u0627\u0644\u062a\u0642\u0644\u064a\u062f\u064a\u0629\u060c \u062a\u0633\u062a\u062e\u062f\u0645 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u062d\u062a\u0645\u064a\u0629 \u0644\u062a\u0648\u062c\u064a\u0647 \u0627\u0644\u0627\u0633\u062a\u0643\u0634\u0627\u0641\u060c \u0645\u0645\u0627 \u064a\u0642\u0644\u0644 \u0645\u0646 \u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0634\u064a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0648\u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0637 \u0627\u0644\u0628\u0637\u064a\u0621 \u0627\u0644\u0645\u062d\u062a\u0645\u0644.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0623\u0646\u0648\u0627\u0639 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648<\/h2>\n<p>\u0647\u0646\u0627\u0643 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0648\u0627\u0644\u0627\u0645\u062a\u062f\u0627\u062f\u0627\u062a \u0644\u0623\u0633\u0644\u0648\u0628 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0642\u062a\u0631\u0627\u062d\u0647\u0627 \u0644\u0645\u0648\u0627\u062c\u0647\u0629 \u062a\u062d\u062f\u064a\u0627\u062a \u0645\u062d\u062f\u062f\u0629 \u0623\u0648 \u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0644\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a \u0645\u0639\u064a\u0646\u0629. \u062a\u062a\u0636\u0645\u0646 \u0628\u0639\u0636 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u0645\u0646 HMC \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<table>\n<thead>\n<tr>\n<th><strong>\u0646\u0648\u0639 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629<\/strong><\/th>\n<th><strong>\u0648\u0635\u0641<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u062c\u0647\u0627\u0632 \u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0628\u062f\u0648\u0646 \u062f\u0648\u0631\u0627\u0646 (NUTS)<\/strong><\/td>\n<td>NUTS \u0647\u0648 \u0627\u0645\u062a\u062f\u0627\u062f \u0644\u0640 HMC \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 \u0639\u062f\u062f \u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0642\u0641\u0632 \u0623\u062b\u0646\u0627\u0621 \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629. \u0641\u0647\u0648 \u064a\u0648\u0642\u0641 \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u062d\u0648\u0644 \u0627\u0644\u0645\u0633\u0627\u0631 \u0625\u0644\u0649 \u0634\u0643\u0644 \u062d\u0631\u0641 U\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0631\u064a\u0645\u0627\u0646\u064a\u0627\u0646 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629<\/strong><\/td>\n<td>\u064a\u0642\u0648\u0645 Riemannian HMC \u0628\u062a\u0643\u064a\u064a\u0641 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 HMC \u0645\u0639 \u0627\u0644\u0645\u062a\u0634\u0639\u0628\u0627\u062a\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u0641\u0639\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0641\u064a \u0627\u0644\u0645\u0633\u0627\u062d\u0627\u062a \u0627\u0644\u0645\u0646\u062d\u0646\u064a\u0629. \u0648\u0647\u0630\u0627 \u0645\u0641\u064a\u062f \u0628\u0634\u0643\u0644 \u062e\u0627\u0635 \u0641\u064a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0627\u064a\u0632\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0642\u064a\u0648\u062f \u0623\u0648 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0645\u062a\u0634\u0639\u0628\u0627\u062a.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u062a\u062f\u0631\u062c \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629<\/strong><\/td>\n<td>\u064a\u062a\u0636\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u062a\u062f\u0631\u062c\u0627\u062a \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647 \u0645\u0646\u0627\u0633\u0628\u064b\u0627 \u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u0629 \u0648\u0627\u0633\u0639\u0629 \u0627\u0644\u0646\u0637\u0627\u0642\u060c \u0645\u062b\u0644 \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u0648\u0627\u062c\u0647\u0647\u0627 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0627\u0644\u0645\u0639\u0645\u0645\u0629<\/strong><\/td>\n<td>\u062a\u0648\u0633\u0639 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0627\u0644\u0645\u0639\u0645\u0645\u0629 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0644\u062a\u0634\u0645\u0644 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0647\u0627\u0645\u0644\u062a\u0648\u0646\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0648\u0633\u0639 \u0625\u0645\u0643\u0627\u0646\u064a\u0629 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0623\u0648\u0633\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0637\u0631\u0642 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0648\u0627\u0644\u0645\u0634\u0627\u0643\u0644 \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 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0628\u0627\u064a\u0632\u064a:<\/strong> \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 HMC \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0648\u0627\u0633\u0639 \u0644\u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u0629 \u0648\u0645\u0647\u0627\u0645 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0646\u0645\u0648\u0630\u062c. \u0625\u0646 \u0643\u0641\u0627\u0621\u062a\u0647\u0627 \u0641\u064a \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u062e\u0644\u0641\u064a\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u062a\u062c\u0639\u0644\u0647\u0627 \u062e\u064a\u0627\u0631\u064b\u0627 \u062c\u0630\u0627\u0628\u064b\u0627 \u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0627\u0644\u064a:<\/strong> \u0641\u064a \u0633\u064a\u0627\u0642 \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0639\u0645\u064a\u0642 \u0628\u0627\u064a\u0632\u064a \u0648\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u060c \u062a\u0648\u0641\u0631 \u0645\u0624\u0633\u0633\u0629 HMC \u0648\u0633\u064a\u0644\u0629 \u0644\u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u062e\u0644\u0641\u064a\u0629 \u0644\u0623\u0648\u0632\u0627\u0646 \u0627\u0644\u0634\u0628\u0643\u0629 \u0627\u0644\u0639\u0635\u0628\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u062a\u0642\u062f\u064a\u0631 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0641\u064a \u0627\u0644\u062a\u0646\u0628\u0624\u0627\u062a \u0648\u0645\u0639\u0627\u064a\u0631\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u062d\u0633\u064a\u0646:<\/strong> \u064a\u0645\u0643\u0646 \u062a\u0643\u064a\u064a\u0641 HMC \u0644\u0645\u0647\u0627\u0645 \u0627\u0644\u062a\u062d\u0633\u064a\u0646\u060c \u062d\u064a\u062b \u064a\u0645\u0643\u0646\u0647\u0627 \u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062e\u0644\u0641\u064a \u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0648\u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0645\u0634\u0647\u062f \u0627\u0644\u062a\u062d\u0633\u064a\u0646 \u0628\u0641\u0639\u0627\u0644\u064a\u0629.<\/p>\n<\/li>\n<\/ol>\n<p>\u062a\u0634\u0645\u0644 \u0627\u0644\u062a\u062d\u062f\u064a\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ol>\n<li>\n<p><strong>\u0636\u0628\u0637 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a:<\/strong> \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 HMC \u062a\u062a\u0637\u0644\u0628 \u0645\u0639\u0644\u0645\u0627\u062a \u0636\u0628\u0637 \u0623\u0642\u0644 \u0645\u0646 \u0628\u0639\u0636 \u0623\u0633\u0627\u0644\u064a\u0628 MCMC \u0627\u0644\u0623\u062e\u0631\u0649\u060c \u0625\u0644\u0627 \u0623\u0646 \u062a\u062d\u062f\u064a\u062f \u062d\u062c\u0645 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0648\u0639\u062f\u062f \u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0642\u0641\u0632\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0638\u0644 \u0623\u0645\u0631\u064b\u0627 \u0628\u0627\u0644\u063a \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0644\u0644\u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0641\u0639\u0627\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0643\u062b\u0641\u0629 \u062d\u0633\u0627\u0628\u064a\u0627:<\/strong> \u062a\u062a\u0636\u0645\u0646 \u0645\u062d\u0627\u0643\u0627\u0629 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646 \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0643\u0644\u0641\u0629 \u062d\u0633\u0627\u0628\u064a\u064b\u0627\u060c \u062e\u0627\u0635\u0629 \u0641\u064a \u0627\u0644\u0645\u0633\u0627\u062d\u0627\u062a \u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0623\u0648 \u0645\u0639 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0643\u0628\u064a\u0631\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0644\u0639\u0646\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f:<\/strong> \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u0627\u0644 \u0645\u0639 \u0623\u064a \u062a\u0642\u0646\u064a\u0629 \u0644\u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a\u060c \u0641\u0625\u0646 \u0644\u0639\u0646\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u062a\u0637\u0631\u062d \u062a\u062d\u062f\u064a\u0627\u062a \u0639\u0646\u062f\u0645\u0627 \u062a\u0635\u0628\u062d \u0623\u0628\u0639\u0627\u062f \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641 \u0645\u0631\u062a\u0641\u0639\u0629 \u0628\u0634\u0643\u0644 \u0645\u0641\u0631\u0637.<\/p>\n<\/li>\n<\/ol>\n<p>\u062a\u062a\u0636\u0645\u0646 \u062d\u0644\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u062f\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646 \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u062a\u0643\u064a\u0641\u064a\u0629\u060c \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u0645\u0647\u064a\u062f\u064a\u0629\u060c \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0645\u062a\u062e\u0635\u0635\u0629 \u0645\u062b\u0644 NUTS \u0644\u0623\u062a\u0645\u062a\u0629 \u0636\u0628\u0637 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a.<\/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 \u0641\u064a \u0634\u0643\u0644 \u062c\u062f\u0627\u0648\u0644 \u0648\u0642\u0648\u0627\u0626\u0645.<\/h2>\n<table>\n<thead>\n<tr>\n<th><strong>\u0635\u0641\u0629 \u0645\u0645\u064a\u0632\u0629<\/strong><\/th>\n<th><strong>\u0645\u0642\u0627\u0631\u0646\u0629 \u0645\u0639 \u0645\u062a\u0631\u0648\u0628\u0648\u0644\u064a\u0633 \u0647\u0627\u0633\u062a\u064a\u0646\u063a\u0632<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u0627\u0633\u062a\u0643\u0634\u0627\u0641<\/strong><\/td>\n<td>\u062a\u064f\u0638\u0647\u0631 \u0645\u0624\u0633\u0633\u0629 HMC \u0643\u0641\u0627\u0621\u0629 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0623\u0639\u0644\u0649\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0628\u062a\u0642\u0627\u0631\u0628 \u0623\u0633\u0631\u0639 \u0648\u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u0623\u0643\u062b\u0631 \u062f\u0642\u0629 \u0645\u0642\u0627\u0631\u0646\u0629\u064b \u0628\u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0634\u064a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0641\u064a Metropolis-Hastings.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0636\u0628\u0637 \u0627\u0644\u062a\u0639\u0642\u064a\u062f<\/strong><\/td>\n<td>\u062a\u062a\u0637\u0644\u0628 HMC \u0628\u0634\u0643\u0644 \u0639\u0627\u0645 \u0645\u0639\u0644\u0645\u0627\u062a \u0636\u0628\u0637 \u0623\u0642\u0644 \u0645\u0646 Metropolis-Hastings\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0623\u0633\u0647\u0644 \u0641\u064a \u0627\u0644\u0645\u0645\u0627\u0631\u0633\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0645\u0633\u0627\u062d\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629<\/strong><\/td>\n<td>\u062a\u0633\u062a\u0637\u064a\u0639 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0645\u0633\u0627\u062d\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0628\u0634\u0643\u0644 \u0641\u0639\u0627\u0644\u060c \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u0645\u062a\u0631\u0648\u0628\u0648\u0644\u064a\u0633-\u0647\u0627\u0633\u062a\u064a\u0646\u063a\u0632 \u0642\u062f \u062a\u0648\u0627\u062c\u0647 \u0635\u0639\u0648\u0628\u0627\u062a \u0641\u064a \u0645\u062b\u0644 \u0647\u0630\u0647 \u0627\u0644\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637 \u0627\u0644\u062a\u0644\u0642\u0627\u0626\u064a<\/strong><\/td>\n<td>\u062a\u0646\u062a\u062c \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0639\u064a\u0646\u0627\u062a \u0630\u0627\u062a \u0627\u0631\u062a\u0628\u0627\u0637 \u0630\u0627\u062a\u064a \u0623\u0642\u0644\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u062a\u0643\u0631\u0627\u0631 \u0623\u0642\u0644 \u0641\u064a \u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0639\u064a\u0646\u0627\u062a.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0648\u0633\u0639<\/strong><\/td>\n<td>\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f\u060c \u062a\u0645\u064a\u0644 \u0645\u0624\u0633\u0633\u0629 HMC \u0625\u0644\u0649 \u0627\u0644\u062a\u0641\u0648\u0642 \u0641\u064a \u0627\u0644\u0623\u062f\u0627\u0621 \u0639\u0644\u0649 Metropolis-Hastings \u0646\u0638\u0631\u064b\u0627 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0633\u062a\u0643\u0634\u0627\u0641\u0647\u0627 \u0648\u062a\u0642\u0644\u064a\u0644 \u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0634\u064a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a.<\/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\u0647\u0627\u0645\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648.<\/h2>\n<p>\u0644\u0642\u062f \u0623\u062b\u0628\u062a\u062a \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0628\u0627\u0644\u0641\u0639\u0644 \u0623\u0646\u0647\u0627 \u062a\u0642\u0646\u064a\u0629 \u0642\u064a\u0645\u0629 \u0644\u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0628\u0627\u064a\u0632\u064a\u0629\u060c \u0648\u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u062d\u0627\u0633\u0648\u0628\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u062a\u0633\u062a\u0645\u0631 \u0627\u0644\u0623\u0628\u062d\u0627\u062b \u0648\u0627\u0644\u062a\u0642\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062c\u0627\u0644 \u0641\u064a \u062a\u062d\u0633\u064a\u0646 \u0648\u062a\u0648\u0633\u064a\u0639 \u0642\u062f\u0631\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629.<\/p>\n<p>\u062a\u0634\u0645\u0644 \u0628\u0639\u0636 \u0645\u062c\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0637\u0648\u064a\u0631 \u0627\u0644\u0648\u0627\u0639\u062f\u0629 \u0644\u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0644\u062a\u0648\u0627\u0632\u064a \u0648\u0648\u062d\u062f\u0627\u062a \u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0631\u0633\u0648\u0645\u0627\u062a:<\/strong> \u064a\u0645\u0643\u0646 \u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0645\u0648\u0627\u0632\u0627\u0629 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u062d\u062f\u0627\u062a \u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0631\u0633\u0648\u0645\u0627\u062a (GPUs) \u062a\u0633\u0631\u064a\u0639 \u062d\u0633\u0627\u0628 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644 HMC \u0623\u0643\u062b\u0631 \u062c\u062f\u0648\u0649 \u0644\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0648\u0627\u0633\u0639\u0629 \u0627\u0644\u0646\u0637\u0627\u0642.<\/p>\n<\/li>\n<li>\n<p><strong>\u0637\u0631\u0642 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0627\u0644\u062a\u0643\u064a\u0641\u064a\u0629:<\/strong> \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0624\u062f\u064a \u0627\u0644\u062a\u062d\u0633\u064a\u0646\u0627\u062a \u0641\u064a \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a HMC \u0627\u0644\u062a\u0643\u064a\u0641\u064a\u0629 \u0625\u0644\u0649 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0627\u0644\u0636\u0628\u0637 \u0627\u0644\u064a\u062f\u0648\u064a \u0648\u0627\u0644\u062a\u0643\u064a\u0641 \u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u0641\u0639\u0627\u0644\u064a\u0629 \u0645\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0639\u0645\u064a\u0642 \u0628\u0627\u064a\u0632\u064a:<\/strong> \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0624\u062f\u064a \u062f\u0645\u062c \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629 \u0641\u064a \u0623\u0637\u0631 \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0639\u0645\u064a\u0642 \u0628\u0627\u064a\u0632\u064a \u0625\u0644\u0649 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0623\u0643\u062b\u0631 \u0642\u0648\u0629 \u0644\u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0648\u062a\u0646\u0628\u0624\u0627\u062a \u0623\u0641\u0636\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0633\u0631\u064a\u0639 \u0627\u0644\u0623\u062c\u0647\u0632\u0629:<\/strong> \u0625\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u062c\u0647\u0632\u0629 \u0627\u0644\u0645\u062a\u062e\u0635\u0635\u0629\u060c \u0645\u062b\u0644 \u0648\u062d\u062f\u0627\u062a \u0627\u0644\u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0645\u0648\u062a\u0631\u064a\u0629 (TPUs) \u0623\u0648 \u0645\u0633\u0631\u0639\u0627\u062a HMC \u0627\u0644\u0645\u062e\u0635\u0635\u0629\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0639\u0632\u0632 \u0623\u062f\u0627\u0621 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0629 \u0625\u0644\u0649 HMC.<\/p>\n<\/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\u0640 Hamiltonian Monte Carlo.<\/h2>\n<p>\u062a\u0639\u0645\u0644 \u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644 \u0643\u0648\u0633\u064a\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0648\u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a. \u064a\u0645\u0643\u0646 \u0631\u0628\u0637\u0647\u0645 \u0628\u0640 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0628\u0637\u0631\u064a\u0642\u062a\u064a\u0646 \u0631\u0626\u064a\u0633\u064a\u062a\u064a\u0646:<\/p>\n<ol>\n<li>\n<p><strong>\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u062e\u0635\u0648\u0635\u064a\u0629 \u0648\u0627\u0644\u0623\u0645\u0646:<\/strong> \u0645\u062b\u0644\u0645\u0627 \u064a\u0645\u0643\u0646 \u0644\u0640 Hamiltonian Monte Carlo \u062a\u062d\u0633\u064a\u0646 \u062e\u0635\u0648\u0635\u064a\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0623\u0645\u0646\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0628\u0643\u0641\u0627\u0621\u0629 \u0648\u062a\u0642\u062f\u064a\u0631 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646\u060c \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u0642\u062f\u064a\u0645 \u0637\u0628\u0642\u0629 \u0625\u0636\u0627\u0641\u064a\u0629 \u0645\u0646 \u062d\u0645\u0627\u064a\u0629 \u0627\u0644\u062e\u0635\u0648\u0635\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0625\u062e\u0641\u0627\u0621 \u0639\u0646\u0627\u0648\u064a\u0646 IP \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0648\u062a\u0634\u0641\u064a\u0631 \u0639\u0645\u0644\u064a\u0627\u062a \u0646\u0642\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0648\u0627\u0632\u0646\u0629 \u0627\u0644\u062a\u062d\u0645\u064a\u0644 \u0648\u0627\u0644\u062a\u062d\u0633\u064a\u0646:<\/strong> \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 \u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0644\u0628\u0627\u062a \u0628\u064a\u0646 \u062e\u0648\u0627\u062f\u0645 \u062e\u0644\u0641\u064a\u0629 \u0645\u062a\u0639\u062f\u062f\u0629\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0648\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0646\u0638\u0627\u0645. \u064a\u0634\u062a\u0631\u0643 \u062c\u0627\u0646\u0628 \u0645\u0648\u0627\u0632\u0646\u0629 \u0627\u0644\u062a\u062d\u0645\u064a\u0644 \u0647\u0630\u0627 \u0641\u064a \u0623\u0648\u062c\u0647 \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0645\u0639 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 HMC \u0628\u0643\u0641\u0627\u0621\u0629 \u0644\u0644\u0645\u0633\u0627\u062d\u0627\u062a \u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0648\u062a\u062c\u0646\u0628 \u0627\u0644\u062a\u0639\u062b\u0631 \u0641\u064a \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0645\u062d\u0644\u064a \u0623\u062b\u0646\u0627\u0621 \u0645\u0647\u0627\u0645 \u0627\u0644\u062a\u062d\u0633\u064a\u0646.<\/p>\n<\/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 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648\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:\/\/en.wikipedia.org\/wiki\/Hybrid_Monte_Carlo\" target=\"_new\" rel=\"noopener nofollow\">\u0627\u0644\u0647\u062c\u064a\u0646 \u0645\u0648\u0646\u062a\u064a \u0643\u0627\u0631\u0644\u0648<\/a> \u2013 \u0635\u0641\u062d\u0629 \u0648\u064a\u0643\u064a\u0628\u064a\u062f\u064a\u0627 \u0639\u0644\u0649 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0627\u0644\u0647\u062c\u064a\u0646\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Hamiltonian_Monte_Carlo\" target=\"_new\" rel=\"noopener nofollow\">\u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648<\/a> \u2013 \u0635\u0641\u062d\u0629 \u0648\u064a\u0643\u064a\u0628\u064a\u062f\u064a\u0627 \u0645\u062e\u0635\u0635\u0629 \u062e\u0635\u064a\u0635\u064b\u0627 \u0644\u0647\u0627\u0645\u0644\u062a\u0648\u0646\u064a\u0627\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648.<\/li>\n<li><a href=\"https:\/\/mc-stan.org\/docs\/2_28\/stan-users-guide\/hmc-algorithm.html\" target=\"_new\" rel=\"noopener nofollow\">\u062f\u0644\u064a\u0644 \u0645\u0633\u062a\u062e\u062f\u0645 \u0633\u062a\u0627\u0646<\/a> \u2013 \u062f\u0644\u064a\u0644 \u0634\u0627\u0645\u0644 \u0644\u062a\u0646\u0641\u064a\u0630 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0641\u064a \u0633\u062a\u0627\u0646.<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1111.4246\" target=\"_new\" rel=\"noopener nofollow\">\u0627\u0644\u0645\u0643\u0633\u0631\u0627\u062a: \u062c\u0647\u0627\u0632 \u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0628\u062f\u0648\u0646 \u062f\u0648\u0631\u0627\u0646<\/a> - \u0627\u0644\u0648\u0631\u0642\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0642\u062f\u0645 \u0627\u0645\u062a\u062f\u0627\u062f No-U-Turn Sampler \u0627\u0644\u062e\u0627\u0635 \u0628\u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629.<\/li>\n<li><a href=\"https:\/\/camdavidsonpilon.github.io\/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers\/\" target=\"_new\" rel=\"noopener nofollow\">\u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u0629 \u0644\u0644\u0647\u0627\u0643\u0631\u0632<\/a> \u2013 \u0643\u062a\u0627\u0628 \u0639\u0628\u0631 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u0644\u0637\u0631\u0642 \u0627\u0644\u0628\u0627\u064a\u0632\u064a\u0629\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0645\u0624\u0633\u0633\u0629 \u062d\u0645\u062f \u0627\u0644\u0637\u0628\u064a\u0629.<\/li>\n<\/ol>","protected":false},"featured_media":468513,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477408","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Hamiltonian Monte Carlo: A Powerful Sampling Technique for Efficient Proxy Server Operations<\/mark>","faq_items":[{"question":"What is Hamiltonian Monte Carlo (HMC)?","answer":"<p>Hamiltonian Monte Carlo (HMC) is an advanced sampling technique used in Bayesian statistics and computational physics. It efficiently explores complex probability distributions by simulating Hamiltonian dynamics, offering faster convergence and more accurate results compared to traditional methods.<\/p>"},{"question":"How does Hamiltonian Monte Carlo work?","answer":"<p>HMC introduces auxiliary momentum variables to the standard Metropolis-Hastings algorithm. These continuous variables interact with the position variables representing the parameters of interest, creating a hybrid system. The algorithm uses Hamiltonian dynamics to simulate the behavior of this hybrid system, and a Metropolis acceptance step ensures the resulting samples are drawn from the target distribution.<\/p>"},{"question":"What are the advantages of Hamiltonian Monte Carlo over other methods?","answer":"<p>HMC boasts several key advantages, including efficient exploration of high-dimensional spaces, adaptive step size for varying curvature, reduced autocorrelation in samples, and fewer tuning parameters compared to some other MCMC methods.<\/p>"},{"question":"What are the different types of Hamiltonian Monte Carlo?","answer":"<p>There are several variations of HMC, each designed to address specific challenges or tailor the method for different scenarios. Some notable types include the No-U-Turn Sampler (NUTS) for adaptive trajectory length, Riemannian HMC for manifolds, Stochastic Gradient HMC for large-scale problems, and Generalized HMC for non-Hamiltonian dynamics.<\/p>"},{"question":"In which fields is Hamiltonian Monte Carlo used?","answer":"<p>HMC finds applications in various domains, such as Bayesian inference for parameter estimation and model selection, machine learning for uncertainty estimation and calibration, and optimization tasks to explore optimization landscapes effectively.<\/p>"},{"question":"What are the challenges associated with using Hamiltonian Monte Carlo?","answer":"<p>While HMC requires fewer tuning parameters, setting the appropriate step size and number of leapfrog steps is crucial for efficient exploration. Additionally, simulating Hamiltonian dynamics can be computationally intensive, especially in high-dimensional spaces or with large datasets.<\/p>"},{"question":"How can Hamiltonian Monte Carlo be used with proxy servers?","answer":"<p>Proxy servers, acting as intermediaries between users and the internet, can benefit from HMC's efficient exploration just as data analysis and optimization tasks do. Proxy servers enhance privacy and security by masking IP addresses and encrypting data, while HMC explores probability distributions effectively and avoids getting stuck in local minima during optimization tasks.<\/p>"},{"question":"Where can I find more information about Hamiltonian Monte Carlo?","answer":"<p>For more information about Hamiltonian Monte Carlo, you can explore the Wikipedia page on \"Hamiltonian Monte Carlo,\" the Stan User's Guide for practical implementation, and the No-U-Turn Sampler (NUTS) paper for the NUTS extension. Additionally, the book \"Probabilistic Programming &amp; Bayesian Methods for Hackers\" provides practical examples of Bayesian methods, including HMC.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/477408","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\/477408\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media\/468513"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media?parent=477408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}