{"id":475960,"date":"2023-08-09T07:24:43","date_gmt":"2023-08-09T07:24:43","guid":{"rendered":""},"modified":"2023-09-05T11:11:42","modified_gmt":"2023-09-05T11:11:42","slug":"backpropagation","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ir\/wiki\/backpropagation\/","title":{"rendered":"\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631"},"content":{"rendered":"<p>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0633\u0627\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0645\u0635\u0646\u0648\u0639\u06cc (ANN) \u0628\u0631\u0627\u06cc \u0627\u0647\u062f\u0627\u0641 \u0622\u0645\u0648\u0632\u0634 \u0648 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0646\u0642\u0634 \u062d\u06cc\u0627\u062a\u06cc \u062f\u0631 \u062a\u0648\u0627\u0646\u0645\u0646\u062f\u0633\u0627\u0632\u06cc ANN \u0647\u0627 \u0628\u0631\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0627\u0632 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0648 \u0628\u0647\u0628\u0648\u062f \u0639\u0645\u0644\u06a9\u0631\u062f \u062e\u0648\u062f \u062f\u0631 \u0637\u0648\u0644 \u0632\u0645\u0627\u0646 \u0627\u06cc\u0641\u0627 \u0645\u06cc \u06a9\u0646\u062f. \u0645\u0641\u0647\u0648\u0645 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0647 \u0631\u0648\u0632\u0647\u0627\u06cc \u0627\u0648\u0644\u06cc\u0647 \u062a\u062d\u0642\u06cc\u0642\u0627\u062a \u0647\u0648\u0634 \u0645\u0635\u0646\u0648\u0639\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f \u0648 \u0627\u0632 \u0622\u0646 \u0632\u0645\u0627\u0646 \u0628\u0647 \u0633\u0646\u06af \u0628\u0646\u0627\u06cc \u062a\u06a9\u0646\u06cc\u06a9 \u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646\u06cc \u0645\u062f\u0631\u0646 \u0648 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0639\u0645\u06cc\u0642 \u062a\u0628\u062f\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<h2>\u062a\u0627\u0631\u06cc\u062e \u067e\u06cc\u062f\u0627\u06cc\u0634 \u067e\u0633 \u0627\u0632 \u0627\u0646\u062a\u0634\u0627\u0631 \u0648 \u0627\u0648\u0644\u06cc\u0646 \u0630\u06a9\u0631 \u0622\u0646<\/h2>\n<p>\u0645\u0646\u0634\u0623 \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u067e\u0634\u062a\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u062f\u0647\u0647 1960 \u0631\u062f\u06cc\u0627\u0628\u06cc \u06a9\u0631\u062f\u060c \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0645\u062d\u0642\u0642\u0627\u0646 \u0634\u0631\u0648\u0639 \u0628\u0647 \u06a9\u0634\u0641 \u0631\u0627\u0647\u200c\u0647\u0627\u06cc\u06cc \u0628\u0631\u0627\u06cc \u0622\u0645\u0648\u0632\u0634 \u062e\u0648\u062f\u06a9\u0627\u0631 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0645\u0635\u0646\u0648\u0639\u06cc \u06a9\u0631\u062f\u0646\u062f. \u062f\u0631 \u0633\u0627\u0644 1961\u060c \u0627\u0648\u0644\u06cc\u0646 \u062a\u0644\u0627\u0634 \u0628\u0631\u0627\u06cc \u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0641\u0631\u0622\u06cc\u0646\u062f\u06cc \u0645\u0634\u0627\u0628\u0647 \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u0627\u0646\u062f\u0627\u0632 \u062a\u0648\u0633\u0637 \u0627\u0633\u062a\u0648\u0627\u0631\u062a \u062f\u0631\u06cc\u0641\u0648\u0633 \u062f\u0631 \u062f\u06a9\u062a\u0631\u0627\u06cc \u062e\u0648\u062f \u0627\u0646\u062c\u0627\u0645 \u0634\u062f. \u067e\u0627\u06cc\u0627\u0646 \u0646\u0627\u0645\u0647. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u062a\u0627 \u062f\u0647\u0647 1970 \u0628\u0648\u062f \u06a9\u0647 \u0627\u0635\u0637\u0644\u0627\u062d &quot;\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631&quot; 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\u0645\u0639\u0631\u0641\u06cc \u06a9\u0631\u062f\u0646\u062f\u060c \u062a\u0648\u062c\u0647 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u0631\u0627 \u0628\u0647 \u062e\u0648\u062f \u062c\u0644\u0628 \u06a9\u0631\u062f\u060c \u06a9\u0647 \u0628\u0627\u0639\u062b \u062a\u062c\u062f\u06cc\u062f \u0639\u0644\u0627\u0642\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0634\u062f.<\/p>\n<h2>\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062f\u0642\u06cc\u0642 \u062f\u0631 \u0645\u0648\u0631\u062f \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631: \u06af\u0633\u062a\u0631\u0634 \u0645\u0648\u0636\u0648\u0639<\/h2>\n<p>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0646\u0638\u0627\u0631\u062a \u0634\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u062f\u0631\u062c\u0647 \u0627\u0648\u0644 \u0628\u0631\u0627\u06cc \u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0686\u0646\u062f \u0644\u0627\u06cc\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0634\u0627\u0645\u0644 \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u06a9\u0631\u0627\u0631\u06cc \u062a\u063a\u0630\u06cc\u0647 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0628\u0647 \u062c\u0644\u0648 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0634\u0628\u06a9\u0647\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u062e\u0637\u0627 \u06cc\u0627 \u062a\u0644\u0641\u0627\u062a \u0628\u06cc\u0646 \u062e\u0631\u0648\u062c\u06cc \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc\u200c\u0634\u062f\u0647 \u0648 \u062e\u0631\u0648\u062c\u06cc \u0648\u0627\u0642\u0639\u06cc\u060c \u0648 \u0633\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u06cc\u0646 \u062e\u0637\u0627 \u0628\u0647 \u0639\u0642\u0628 \u062f\u0631 \u0644\u0627\u06cc\u0647\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc \u0628\u0647\u200c\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc \u0648\u0632\u0646\u200c\u0647\u0627\u06cc \u0634\u0628\u06a9\u0647 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u06a9\u0631\u0627\u0631\u06cc \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc \u06cc\u0627\u0628\u062f \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u0628\u0647 \u062d\u0627\u0644\u062a\u06cc \u0628\u0631\u0633\u062f \u06a9\u0647 \u062e\u0637\u0627 \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0631\u0633\u062f \u0648 \u0634\u0628\u06a9\u0647 \u0628\u062a\u0648\u0627\u0646\u062f \u062e\u0631\u0648\u062c\u06cc \u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u062c\u062f\u06cc\u062f \u0628\u0647 \u062f\u0642\u062a \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u06a9\u0646\u062f.<\/p>\n<h2>\u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0631\u0648\u0646\u06cc \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631: \u0646\u062d\u0648\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631<\/h2>\n<p>\u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0631\u0648\u0646\u06cc \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0686\u0646\u062f \u0645\u0631\u062d\u0644\u0647 \u06a9\u0644\u06cc\u062f\u06cc \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0631\u062f:<\/p>\n<ol>\n<li>\n<p>Forward Pass: \u062f\u0631 \u0637\u0648\u0644 \u06af\u0630\u0631 \u0628\u0647 \u062c\u0644\u0648\u060c \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc\u060c \u0644\u0627\u06cc\u0647 \u0628\u0647 \u0644\u0627\u06cc\u0647 \u062a\u063a\u0630\u06cc\u0647 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u06cc \u0627\u0632 \u0627\u062a\u0635\u0627\u0644\u0627\u062a \u0648\u0632\u0646\u06cc \u0648 \u062a\u0648\u0627\u0628\u0639 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u062f\u0631 \u0647\u0631 \u0644\u0627\u06cc\u0647 \u0627\u0639\u0645\u0627\u0644 \u0645\u06cc \u0634\u0648\u062f. \u062e\u0631\u0648\u062c\u06cc \u0634\u0628\u06a9\u0647 \u0628\u0627 \u062d\u0642\u06cc\u0642\u062a \u0632\u0645\u06cc\u0646 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0645\u06cc \u0634\u0648\u062f \u062a\u0627 \u062e\u0637\u0627\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p>Backward Pass: \u062f\u0631 \u06af\u0630\u0631 \u0628\u0647 \u0639\u0642\u0628\u060c \u062e\u0637\u0627 \u0627\u0632 \u0644\u0627\u06cc\u0647 \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0644\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0628\u0647 \u0639\u0642\u0628 \u0645\u0646\u062a\u0634\u0631 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0627\u0645\u0631 \u0628\u0627 \u0627\u0639\u0645\u0627\u0644 \u0642\u0627\u0639\u062f\u0647 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0627\u06cc \u062d\u0633\u0627\u0628 \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u0648 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0647\u0627\u06cc \u062e\u0637\u0627 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0647\u0631 \u0648\u0632\u0646 \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u06cc\u062f.<\/p>\n<\/li>\n<li>\n<p>\u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u0648\u0632\u0646: \u067e\u0633 \u0627\u0632 \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0646 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0647\u0627\u060c \u0648\u0632\u0646 \u0647\u0627\u06cc \u0634\u0628\u06a9\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc\u060c \u0645\u0627\u0646\u0646\u062f \u0646\u0632\u0648\u0644 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u062a\u0635\u0627\u062f\u0641\u06cc (SGD) \u06cc\u0627 \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0646\u0648\u0627\u0639 \u0622\u0646 \u0628\u0647 \u0631\u0648\u0632 \u0645\u06cc \u0634\u0648\u0646\u062f. \u0647\u062f\u0641 \u0627\u06cc\u0646 \u0628\u0647\u200c\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc\u200c\u0647\u0627 \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0631\u0633\u0627\u0646\u062f\u0646 \u062e\u0637\u0627\u060c \u062a\u0646\u0638\u06cc\u0645 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0634\u0628\u06a9\u0647 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0628\u0647\u062a\u0631 \u0627\u0633\u062a.<\/p>\n<\/li>\n<li>\n<p>\u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u06a9\u0631\u0627\u0631\u06cc: \u06af\u0630\u0631\u0647\u0627\u06cc \u0631\u0648 \u0628\u0647 \u062c\u0644\u0648 \u0648 \u0639\u0642\u0628 \u0628\u0647 \u0637\u0648\u0631 \u0645\u06a9\u0631\u0631 \u0628\u0631\u0627\u06cc \u062a\u0639\u062f\u0627\u062f \u0645\u0639\u06cc\u0646\u06cc \u0627\u0632 \u062f\u0648\u0631\u0647 \u0647\u0627 \u06cc\u0627 \u062a\u0627 \u0632\u0645\u0627\u0646 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u0634\u0648\u0646\u062f \u06a9\u0647 \u0645\u0646\u062c\u0631 \u0628\u0647 \u0628\u0647\u0628\u0648\u062f \u062a\u062f\u0631\u06cc\u062c\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u0634\u0628\u06a9\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2>\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631<\/h2>\n<p>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0628\u0631\u0627\u06cc \u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ul>\n<li>\n<p><strong>\u062a\u0637\u0628\u06cc\u0642 \u067e\u0630\u06cc\u0631\u06cc<\/strong>: \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633 \u0632\u0645\u06cc\u0646\u0647 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u0637\u06cc\u0641 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u0627\u0632 \u0645\u0639\u0645\u0627\u0631\u06cc \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc\u060c \u0627\u0632 \u062c\u0645\u0644\u0647 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u067e\u06cc\u0634\u062e\u0648\u0631\u060c \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0627\u0632\u06af\u0634\u062a\u06cc (RNN) \u0648 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u06a9\u0627\u0646\u0648\u0644\u0648\u0634\u0646\u0627\u0644 (CNN) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0628\u0647\u0631\u0647 \u0648\u0631\u06cc<\/strong>: \u0639\u0644\u06cc\u0631\u063a\u0645 \u0627\u06cc\u0646\u06a9\u0647 \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0641\u0634\u0631\u062f\u0647 \u0627\u0633\u062a\u060c \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u0627\u0646\u062f\u0627\u0632 \u062f\u0631 \u0637\u0648\u0644 \u0633\u0627\u0644\u200c\u0647\u0627 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u0628\u0647 \u0622\u0646 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0627\u0631\u0622\u0645\u062f \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0628\u0632\u0631\u06af \u0648 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0631\u0627 \u0645\u062f\u06cc\u0631\u06cc\u062a \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0642\u06cc\u0627\u0633 \u067e\u0630\u06cc\u0631\u06cc<\/strong>: \u0645\u0627\u0647\u06cc\u062a \u0645\u0648\u0627\u0632\u06cc Backpropagation \u0622\u0646 \u0631\u0627 \u0645\u0642\u06cc\u0627\u0633 \u067e\u0630\u06cc\u0631 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0622\u0646 \u0631\u0627 \u0642\u0627\u062f\u0631 \u0645\u06cc \u0633\u0627\u0632\u062f \u0627\u0632 \u0633\u062e\u062a \u0627\u0641\u0632\u0627\u0631 \u0645\u062f\u0631\u0646 \u0648 \u0645\u0646\u0627\u0628\u0639 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0634\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u063a\u06cc\u0631 \u062e\u0637\u06cc \u0628\u0648\u062f\u0646<\/strong>: \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc Backpropagation \u0628\u0631\u0627\u06cc \u0645\u062f\u06cc\u0631\u06cc\u062a \u062a\u0648\u0627\u0628\u0639 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u063a\u06cc\u0631\u062e\u0637\u06cc \u0628\u0647 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0631\u0648\u0627\u0628\u0637 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0631\u0627 \u062f\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0645\u062f\u0644 \u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<\/ul>\n<h2>\u0627\u0646\u0648\u0627\u0639 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u062a\u0627\u06cc\u067e \u06a9\u0646\u06cc\u062f<\/th>\n<th>\u0634\u0631\u062d<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f<\/td>\n<td>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0635\u0644\u06cc \u06a9\u0647 \u0648\u0632\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u06a9\u0627\u0645\u0644 \u062e\u0637\u0627 \u0646\u0633\u0628\u062a \u0628\u0647 \u0647\u0631 \u0648\u0632\u0646 \u0628\u0647 \u0631\u0648\u0632 \u0645\u06cc \u06a9\u0646\u062f. \u0628\u0631\u0627\u06cc \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06af\u0631\u0627\u0646 \u0628\u0627\u0634\u062f.<\/td>\n<\/tr>\n<tr>\n<td>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc<\/td>\n<td>\u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u06a9\u0647 \u0648\u0632\u0646\u200c\u0647\u0627 \u0631\u0627 \u0628\u0639\u062f \u0627\u0632 \u0647\u0631 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0628\u0647\u200c\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0646\u06cc\u0627\u0632\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u062f\u0647\u062f \u0627\u0645\u0627 \u062a\u0635\u0627\u062f\u0641\u06cc\u200c\u062a\u0631 \u0628\u0648\u062f\u0646 \u0631\u0627 \u062f\u0631 \u0628\u0647\u200c\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc\u200c\u0647\u0627\u06cc \u0648\u0632\u0646 \u0645\u0639\u0631\u0641\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u06cc\u0646\u06cc \u0628\u0686 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631<\/td>\n<td>\u0633\u0627\u0632\u0634 \u0628\u06cc\u0646 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u0648 \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u0648\u0632\u0646 \u0647\u0627 \u062f\u0631 \u062f\u0633\u062a\u0647 \u0627\u06cc \u0627\u0632 \u0646\u0642\u0627\u0637 \u062f\u0627\u062f\u0647. \u062a\u0639\u0627\u062f\u0644\u06cc \u0628\u06cc\u0646 \u06a9\u0627\u0631\u0627\u06cc\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0648 \u062b\u0628\u0627\u062a \u062f\u0631 \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u0648\u0632\u0646 \u0628\u0631\u0642\u0631\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f.<\/td>\n<\/tr>\n<tr>\n<td>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u062f\u0633\u062a\u0647 \u0627\u06cc<\/td>\n<td>\u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u06a9\u0647 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u06a9\u0644 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u0642\u0628\u0644 \u0627\u0632 \u0628\u0647\u200c\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc \u0648\u0632\u0646\u200c\u0647\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0639\u0645\u062f\u062a\u0627\u064b \u062f\u0631 \u0645\u062d\u06cc\u0637\u200c\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0645\u0648\u0627\u0632\u06cc \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u0624\u062b\u0631 \u0627\u0632 GPU \u06cc\u0627 TPU \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0631\u0627\u0647 \u0647\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631\u060c \u0645\u0634\u06a9\u0644\u0627\u062a \u0648 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0622\u0646\u0647\u0627<\/h2>\n<p><strong>\u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631<\/strong><\/p>\n<ul>\n<li>\u062a\u0634\u062e\u06cc\u0635 \u062a\u0635\u0648\u06cc\u0631: \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0648\u0638\u0627\u06cc\u0641 \u062a\u0634\u062e\u06cc\u0635 \u062a\u0635\u0648\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f\u060c \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u06a9\u0627\u0646\u0648\u0644\u0648\u0634\u0646 (CNN) \u0628\u0631\u0627\u06cc \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0627\u0634\u06cc\u0627\u0621 \u0648 \u0627\u0644\u06af\u0648\u0647\u0627\u06cc \u062f\u0631\u0648\u0646 \u062a\u0635\u0627\u0648\u06cc\u0631 \u0622\u0645\u0648\u0632\u0634 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f.<\/li>\n<li>\u067e\u0631\u062f\u0627\u0632\u0634 \u0632\u0628\u0627\u0646 \u0637\u0628\u06cc\u0639\u06cc: \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0645\u06a9\u0631\u0631 (RNN) \u0628\u0631\u0627\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0632\u0628\u0627\u0646\u060c \u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc \u0648 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u062d\u0633\u0627\u0633\u0627\u062a \u0627\u0639\u0645\u0627\u0644 \u0634\u0648\u062f.<\/li>\n<li>\u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u0627\u0644\u06cc: \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0642\u06cc\u0645\u062a \u0633\u0647\u0627\u0645\u060c \u0631\u0648\u0646\u062f \u0628\u0627\u0632\u0627\u0631 \u0648 \u0633\u0627\u06cc\u0631 \u0634\u0627\u062e\u0635 \u0647\u0627\u06cc \u0645\u0627\u0644\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0633\u0631\u06cc \u0632\u0645\u0627\u0646\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f.<\/li>\n<\/ul>\n<p><strong>\u0686\u0627\u0644\u0634 \u0647\u0627 \u0648 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627<\/strong><\/p>\n<ul>\n<li><strong>\u0645\u0634\u06a9\u0644 \u0646\u0627\u067e\u062f\u06cc\u062f \u0634\u062f\u0646 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646<\/strong>: \u062f\u0631 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0639\u0645\u06cc\u0642\u060c \u06af\u0631\u0627\u062f\u06cc\u0627\u0646\u200c\u0647\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u062f\u0631 \u0637\u0648\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u067e\u0634\u062a\u06cc \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0648\u0686\u06a9 \u0634\u0648\u0646\u062f\u060c \u06a9\u0647 \u0645\u0646\u062c\u0631 \u0628\u0647 \u0647\u0645\u200c\u06af\u0631\u0627\u06cc\u06cc \u06a9\u0646\u062f \u06cc\u0627 \u062d\u062a\u06cc \u062a\u0648\u0642\u0641 \u0641\u0631\u0622\u06cc\u0646\u062f \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0634\u0648\u062f. \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0634\u0627\u0645\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u0645\u0627\u0646\u0646\u062f ReLU \u0648 \u062a\u06a9\u0646\u06cc\u06a9 \u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u0646\u0631\u0645\u0627\u0644 \u0633\u0627\u0632\u06cc \u062f\u0633\u062a\u0647 \u0627\u06cc \u0627\u0633\u062a.<\/li>\n<li><strong>\u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0628\u0631\u0627\u0632\u0634<\/strong>: \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0631\u06af\u0634\u062a\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0645\u0646\u062c\u0631 \u0628\u0647 \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0628\u0631\u0627\u0632\u0634 \u0634\u0648\u062f\u060c \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0634\u0628\u06a9\u0647 \u062f\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u062e\u0648\u0628\u06cc \u062f\u0627\u0631\u062f \u0627\u0645\u0627 \u062f\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u062f\u06cc\u062f\u0647 \u0646\u0634\u062f\u0647 \u0636\u0639\u06cc\u0641 \u0639\u0645\u0644 \u0645\u06cc \u06a9\u0646\u062f. \u062a\u06a9\u0646\u06cc\u06a9\u200c\u0647\u0627\u06cc \u0645\u0646\u0638\u0645\u200c\u0633\u0627\u0632\u06cc \u0645\u0627\u0646\u0646\u062f \u0645\u0646\u0638\u0645\u200c\u0633\u0627\u0632\u06cc L1 \u0648 L2 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u0628\u0647 \u06a9\u0627\u0647\u0634 \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0628\u0631\u0627\u0632\u0634 \u06a9\u0645\u06a9 \u06a9\u0646\u0646\u062f.<\/li>\n<li><strong>\u0634\u062f\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc<\/strong>: \u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0639\u0645\u06cc\u0642 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0641\u0634\u0631\u062f\u0647 \u0628\u0627\u0634\u062f\u060c \u0628\u0647 \u062e\u0635\u0648\u0635 \u0628\u0627 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0632\u0631\u06af. \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 GPU \u06cc\u0627 TPU \u0628\u0631\u0627\u06cc \u0634\u062a\u0627\u0628 \u0648 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0645\u0639\u0645\u0627\u0631\u06cc \u0634\u0628\u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u0631\u0627 \u06a9\u0627\u0647\u0634 \u062f\u0647\u062f.<\/li>\n<\/ul>\n<h2>\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0648 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0628\u0627 \u0627\u0635\u0637\u0644\u0627\u062d\u0627\u062a \u0645\u0634\u0627\u0628\u0647<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0645\u0634\u062e\u0635\u0647<\/th>\n<th>\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631<\/th>\n<th>\u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0646\u0632\u0648\u0644<\/th>\n<th>\u0646\u0632\u0648\u0644 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u062a\u0635\u0627\u062f\u0641\u06cc<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u062a\u0627\u06cc\u067e \u06a9\u0646\u06cc\u062f<\/td>\n<td>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645<\/td>\n<td>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc<\/td>\n<td>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0647\u062f\u0641<\/td>\n<td>\u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc<\/td>\n<td>\u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f<\/td>\n<td>\u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u06a9\u0627\u0646\u0633 \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc<\/td>\n<td>\u0628\u0639\u062f \u0627\u0632 \u0647\u0631 \u062f\u0633\u062a\u0647<\/td>\n<td>\u0628\u0639\u062f \u0627\u0632 \u0647\u0631 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647<\/td>\n<td>\u0628\u0639\u062f \u0627\u0632 \u0647\u0631 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647<\/td>\n<\/tr>\n<tr>\n<td>\u06a9\u0627\u0631\u0627\u06cc\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc<\/td>\n<td>\u062f\u0631 \u062d\u062f \u0645\u062a\u0648\u0633\u0637<\/td>\n<td>\u0628\u0627\u0644\u0627<\/td>\n<td>\u0645\u062a\u0648\u0633\u0637 \u062a\u0627 \u0632\u06cc\u0627\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0633\u062a\u062d\u06a9\u0627\u0645 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0646\u0648\u06cc\u0632<\/td>\n<td>\u062f\u0631 \u062d\u062f \u0645\u062a\u0648\u0633\u0637<\/td>\n<td>\u06a9\u0645<\/td>\n<td>\u0645\u062a\u0648\u0633\u0637 \u062a\u0627 \u06a9\u0645<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0686\u0634\u0645 \u0627\u0646\u062f\u0627\u0632\u0647\u0627 \u0648 \u0641\u0646\u0627\u0648\u0631\u06cc \u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0645\u0631\u062a\u0628\u0637 \u0628\u0627 \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633 \u0632\u0645\u06cc\u0646\u0647<\/h2>\n<p>\u0622\u06cc\u0646\u062f\u0647 \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u0632\u0645\u06cc\u0646\u0647 \u0628\u0627 \u067e\u06cc\u0634\u0631\u0641\u062a\u200c\u0647\u0627\u06cc \u0633\u062e\u062a\u200c\u0627\u0641\u0632\u0627\u0631\u06cc \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0645\u0631\u062a\u0628\u0637 \u0627\u0633\u062a. \u0628\u0627 \u0627\u0641\u0632\u0627\u06cc\u0634 \u0642\u062f\u0631\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc\u060c \u0622\u0645\u0648\u0632\u0634 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0628\u0632\u0631\u06af\u062a\u0631 \u0648 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631 \u0627\u0645\u06a9\u0627\u0646 \u067e\u0630\u06cc\u0631\u062a\u0631 \u0645\u06cc \u0634\u0648\u062f. \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u0645\u062d\u0642\u0642\u0627\u0646 \u0628\u0647 \u0637\u0648\u0631 \u0641\u0639\u0627\u0644 \u062f\u0631 \u062d\u0627\u0644 \u0628\u0631\u0631\u0633\u06cc \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646\u200c\u0647\u0627\u06cc\u06cc \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u0627\u0646\u062f\u0627\u0632 \u0633\u0646\u062a\u06cc \u0647\u0633\u062a\u0646\u062f\u060c \u0645\u0627\u0646\u0646\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u062a\u06a9\u0627\u0645\u0644\u06cc \u0648 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0628\u0627 \u0627\u0644\u0647\u0627\u0645 \u0627\u0632 \u0628\u06cc\u0648\u0644\u0648\u0698\u06cc\u06a9.<\/p>\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u0645\u0639\u0645\u0627\u0631\u06cc\u200c\u0647\u0627\u06cc \u062c\u062f\u06cc\u062f \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc\u060c \u0645\u0627\u0646\u0646\u062f \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631\u0647\u0627 \u0648 \u0645\u06a9\u0627\u0646\u06cc\u0633\u0645\u200c\u0647\u0627\u06cc \u062a\u0648\u062c\u0647\u060c \u0628\u0631\u0627\u06cc \u06a9\u0627\u0631\u0647\u0627\u06cc \u067e\u0631\u062f\u0627\u0632\u0634 \u0632\u0628\u0627\u0646 \u0637\u0628\u06cc\u0639\u06cc \u0645\u062d\u0628\u0648\u0628\u06cc\u062a \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0647\u200c\u0627\u0646\u062f \u0648 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0631 \u062a\u06a9\u0627\u0645\u0644 \u062a\u06a9\u0646\u06cc\u06a9\u200c\u0647\u0627\u06cc \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0633\u200c\u0627\u0641\u06a9\u0646 \u062a\u0623\u062b\u06cc\u0631 \u0628\u06af\u0630\u0627\u0631\u0646\u062f. \u062a\u0631\u06a9\u06cc\u0628 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0627 \u0627\u06cc\u0646 \u0645\u0639\u0645\u0627\u0631\u06cc \u0647\u0627\u06cc \u062c\u062f\u06cc\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u064b \u0646\u062a\u0627\u06cc\u062c \u0686\u0634\u0645\u06af\u06cc\u0631\u062a\u0631\u06cc \u0631\u0627 \u062f\u0631 \u062d\u0648\u0632\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a.<\/p>\n<h2>\u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u06cc\u0627 \u0628\u0627 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u0645\u0631\u062a\u0628\u0637 \u0634\u062f<\/h2>\n<p>\u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0646\u0642\u0634 \u0645\u0647\u0645\u06cc \u062f\u0631 \u067e\u0634\u062a\u06cc\u0628\u0627\u0646\u06cc \u0627\u0632 \u0648\u0638\u0627\u06cc\u0641 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631\u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0622\u0645\u0648\u0632\u0634 \u0647\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0642\u06cc\u0627\u0633 \u0628\u0632\u0631\u06af \u0627\u06cc\u0641\u0627 \u06a9\u0646\u0646\u062f. \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0639\u0645\u06cc\u0642 \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0632\u06cc\u0627\u062f\u06cc \u062f\u0627\u062f\u0647 \u0648 \u0642\u062f\u0631\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u0646\u062f\u060c \u0645\u062d\u0642\u0642\u0627\u0646 \u0627\u063a\u0644\u0628 \u0627\u0632 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0627\u06a9\u0633\u06cc \u0628\u0631\u0627\u06cc \u062a\u0633\u0647\u06cc\u0644 \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u060c \u0645\u0646\u0627\u0628\u0639 \u062d\u0627\u0641\u0638\u0647 \u067e\u0646\u0647\u0627\u0646 \u0648 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u062a\u0631\u0627\u0641\u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0627\u06a9\u0633\u06cc\u060c \u0645\u062d\u0642\u0642\u0627\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u062f\u0633\u062a\u0631\u0633\u06cc \u0628\u0647 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0631\u0627 \u0627\u0641\u0632\u0627\u06cc\u0634 \u062f\u0627\u062f\u0647 \u0648 \u062a\u0623\u062e\u06cc\u0631 \u0631\u0627 \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0631\u0633\u0627\u0646\u0646\u062f \u0648 \u0627\u0645\u06a9\u0627\u0646 \u0622\u0645\u0648\u0632\u0634 \u0648 \u0622\u0632\u0645\u0627\u06cc\u0634 \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631 \u0628\u0627 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u06a9\u0646\u0646\u062f.<\/p>\n<h2>\u0644\u06cc\u0646\u06a9 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647<\/h2>\n<ul>\n<li><a href=\"https:\/\/www.analyticsvidhya.com\/blog\/2021\/05\/understanding-backpropagation-in-neural-networks\/\" target=\"_new\" rel=\"noopener nofollow\">\u062f\u0631\u06a9 \u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631 \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc<\/a><\/li>\n<li><a href=\"https:\/\/towardsdatascience.com\/backpropagation-improving-neural-networks-23b1b3ea4d28\" target=\"_new\" rel=\"noopener nofollow\">\u067e\u0633 \u0627\u0646\u062a\u0634\u0627\u0631: \u0628\u0647\u0628\u0648\u062f \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc<\/a><\/li>\n<li><a href=\"https:\/\/machinelearningmastery.com\/gentle-introduction-backpropagation-time\/\" target=\"_new\" rel=\"noopener nofollow\">\u0645\u0642\u062f\u0645\u0647 \u0627\u06cc \u0645\u0644\u0627\u06cc\u0645 \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u0634\u0627\u0631 \u067e\u0634\u062a \u0633\u0631<\/a><\/li>\n<li><a href=\"http:\/\/neuralnetworksanddeeplearning.com\/chap2.html\" target=\"_new\" rel=\"noopener nofollow\">\u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0648 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0639\u0645\u06cc\u0642<\/a><\/li>\n<\/ul>","protected":false},"featured_media":475755,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-475960","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Backpropagation: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What is Backpropagation?","answer":"<p>Backpropagation is a fundamental algorithm used in artificial neural networks (ANNs) for training and optimization. It enables ANNs to learn from data and improve their performance over time.<\/p>"},{"question":"How did Backpropagation originate?","answer":"<p>The concept of backpropagation dates back to the 1960s, with early attempts made by Stuart Dreyfus in his Ph.D. thesis. The term \"backpropagation\" was first used by Paul Werbos in the 1970s. It gained significant attention in the 1980s when Rumelhart, Hinton, and Williams introduced a more efficient version of the algorithm.<\/p>"},{"question":"How does Backpropagation work?","answer":"<p>Backpropagation involves a forward pass, where input data is fed through the network, followed by a backward pass, where the error is propagated backward from the output to the input layer. This iterative process updates the network's weights until the error is minimized.<\/p>"},{"question":"What are the key features of Backpropagation?","answer":"<p>Backpropagation is versatile, efficient, scalable, and capable of handling non-linear activation functions. These features make it a powerful algorithm for training neural networks.<\/p>"},{"question":"What types of Backpropagation exist?","answer":"<p>There are several types of backpropagation, including Standard Backpropagation, Stochastic Backpropagation, Mini-batch Backpropagation, and Batch Backpropagation. Each has its advantages and trade-offs.<\/p>"},{"question":"How can Backpropagation be used?","answer":"<p>Backpropagation finds application in various domains, such as image recognition, natural language processing, and financial forecasting.<\/p>"},{"question":"What challenges are associated with Backpropagation, and how can they be solved?","answer":"<p>Backpropagation faces challenges like the vanishing gradient problem and overfitting. Solutions include using activation functions like ReLU, regularization techniques, and optimizing the network architecture.<\/p>"},{"question":"How does Backpropagation compare to Gradient Descent and Stochastic Gradient Descent?","answer":"<p>Backpropagation is an algorithm used in neural network training, while Gradient Descent and Stochastic Gradient Descent are optimization algorithms for function optimization. They differ in update frequency and computational efficiency.<\/p>"},{"question":"What does the future hold for Backpropagation?","answer":"<p>The future of backpropagation lies in advancements in hardware and algorithms, as well as exploring alternatives and combining it with novel neural network architectures.<\/p>"},{"question":"How are Proxy Servers associated with Backpropagation?","answer":"<p>Proxy servers support backpropagation tasks, particularly in large-scale distributed training, by enhancing data access and minimizing latency, leading to more efficient training with neural networks.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/475960","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/475960\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media\/475755"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media?parent=475960"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}