{"id":475995,"date":"2023-08-09T07:25:33","date_gmt":"2023-08-09T07:25:33","guid":{"rendered":""},"modified":"2023-09-05T11:11:48","modified_gmt":"2023-09-05T11:11:48","slug":"bayesian-programming","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/in\/wiki\/bayesian-programming\/","title":{"rendered":"\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917"},"content":{"rendered":"<h2>\u092a\u0930\u093f\u091a\u092f<\/h2>\n<p>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u090f\u0915 \u0936\u0915\u094d\u0924\u093f\u0936\u093e\u0932\u0940 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0939\u0948 \u091c\u094b \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0935\u093e\u0924\u093e\u0935\u0930\u0923 \u092e\u0947\u0902 \u092e\u0949\u0921\u0932 \u092c\u0928\u093e\u0928\u0947, \u0924\u0930\u094d\u0915 \u0915\u0930\u0928\u0947 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\u0915\u0947 \u0938\u093e\u0925 \u0907\u0938\u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u093e \u092a\u0924\u093e \u0932\u0917\u093e\u0928\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092c\u0947\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0940 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f<\/h2>\n<p>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u0940 \u091c\u0921\u093c\u0947\u0902 18\u0935\u0940\u0902 \u0938\u0926\u0940 \u0915\u0947 \u0917\u0923\u093f\u0924\u091c\u094d\u091e \u0914\u0930 \u092a\u094d\u0930\u0947\u0938\u094d\u092c\u093f\u091f\u0947\u0930\u093f\u092f\u0928 \u092a\u093e\u0926\u0930\u0940 \u0930\u0947\u0935\u0930\u0947\u0902\u0921 \u0925\u0949\u092e\u0938 \u092c\u0947\u092f\u0938 \u0915\u0947 \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u092e\u0947\u0902 \u0928\u093f\u0939\u093f\u0924 \u0939\u0948\u0902\u0964 \u092c\u0947\u092f\u0938 \u0928\u0947 \u092e\u0930\u0923\u094b\u092a\u0930\u093e\u0902\u0924 \u092a\u094d\u0930\u0938\u093f\u0926\u094d\u0927 \u092c\u0947\u092f\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u092a\u094d\u0930\u0915\u093e\u0936\u093f\u0924 \u0915\u093f\u092f\u093e, \u091c\u093f\u0938\u0928\u0947 \u0928\u090f \u0938\u093e\u0915\u094d\u0937\u094d\u092f \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u094b \u0905\u0926\u094d\u092f\u0924\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0917\u0923\u093f\u0924\u0940\u092f \u0922\u093e\u0902\u091a\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u093f\u092f\u093e\u0964 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u093e \u092e\u0942\u0932 \u0935\u093f\u091a\u093e\u0930 \u092a\u093f\u091b\u0932\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u0947\u0916\u0947 \u0917\u090f \u0921\u0947\u091f\u093e \u0915\u0947 \u0938\u093e\u0925 \u092a\u0942\u0930\u094d\u0935 \u092e\u093e\u0928\u094d\u092f\u0924\u093e\u0913\u0902 \u0915\u094b \u0936\u093e\u092e\u093f\u0932 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u092f\u0939 20\u0935\u0940\u0902 \u0938\u0926\u0940 \u0924\u0915 \u0928\u0939\u0940\u0902 \u0925\u093e \u0915\u093f \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u0928\u0947 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940, \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0914\u0930 \u0915\u0943\u0924\u094d\u0930\u093f\u092e \u092c\u0941\u0926\u094d\u0927\u093f\u092e\u0924\u094d\u0924\u093e \u0938\u0939\u093f\u0924 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0935\u0948\u091c\u094d\u091e\u093e\u0928\u093f\u0915 \u0935\u093f\u0937\u092f\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u092e\u0941\u0916\u0924\u093e \u0939\u093e\u0938\u093f\u0932 \u0915\u0930\u0928\u093e \u0936\u0941\u0930\u0942 \u0915\u0930 \u0926\u093f\u092f\u093e\u0964<\/p>\n<h2>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u094b \u0938\u092e\u091d\u0928\u093e<\/h2>\n<p>\u0907\u0938\u0915\u0947 \u092e\u0942\u0932 \u092e\u0947\u0902, \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u092e\u0949\u0921\u0932 \u092c\u0928\u093e\u0928\u0947 \u0914\u0930 \u0928\u090f \u0921\u0947\u091f\u093e \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0907\u0928 \u092e\u0949\u0921\u0932\u094b\u0902 \u0915\u094b \u0905\u092a\u0921\u0947\u091f \u0915\u0930\u0928\u0947 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0964 \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0947 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915 \u0918\u091f\u0915\u094b\u0902 \u092e\u0947\u0902 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902:<\/p>\n<ol>\n<li>\n<p><strong>\u0938\u0902\u092d\u093e\u0935\u094d\u092f \u092e\u0949\u0921\u0932<\/strong>\u092f\u0947 \u092e\u0949\u0921\u0932 \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0915\u0942\u091f\u092c\u0926\u094d\u0927 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0905\u0928\u0941\u092e\u093e\u0928 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e<\/strong>\u092f\u0947 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092a\u0942\u0930\u094d\u0935 \u091c\u094d\u091e\u093e\u0928 \u0915\u094b \u0928\u090f \u0938\u093e\u0915\u094d\u0937\u094d\u092f \u0915\u0947 \u0938\u093e\u0925 \u091c\u094b\u0921\u093c\u0915\u0930 \u092a\u0936\u094d\u091a\u0935\u0930\u094d\u0924\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u094b \u0938\u0915\u094d\u0937\u092e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u093e<\/strong>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e\u0935\u093e\u0926\u0940 \u0924\u0930\u094d\u0915 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u0922\u093e\u0902\u091a\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u0928\u0947\u091f\u0935\u0930\u094d\u0915<\/strong>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u092e\u0947\u0902 \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u0915\u094b \u092e\u0949\u0921\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u090f\u0915 \u0932\u094b\u0915\u092a\u094d\u0930\u093f\u092f \u0917\u094d\u0930\u093e\u092b\u093f\u0915\u0932 \u0928\u093f\u0930\u0942\u092a\u0923\u0964<\/p>\n<\/li>\n<\/ol>\n<h2>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0940 \u0906\u0902\u0924\u0930\u093f\u0915 \u0938\u0902\u0930\u091a\u0928\u093e<\/h2>\n<p>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u093e \u0906\u0927\u093e\u0930 \u092c\u0947\u092f\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948, \u091c\u093f\u0938\u0947 \u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u0924\u0948\u092f\u093e\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<p><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u090f<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><mi>\u092c\u0940<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mfrac><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u092c\u0940<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><mi>\u090f<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u22c5<\/mo><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u090f<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u092c\u0940<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\u092a\u0940(\u090f|\u092c\u0940) = frac{\u092a\u0940(\u092c\u0940|\u090f) cdot \u092a\u0940(\u090f)}{\u092a\u0940(\u092c\u0940)}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">\u090f<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.05017em;\">\u092c\u0940<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.53em; vertical-align: -0.52em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.01em;\"><span style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.05017em;\">\u092c\u0940<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><span style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span style=\"top: -3.485em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.05017em;\">\u092c\u0940<\/span><span class=\"mord mtight\">\u2223<\/span><span class=\"mord mathnormal mtight\">\u090f<\/span><span class=\"mclose mtight\">)<\/span><span class=\"mbin mtight\">\u22c5<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">\u090f<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.52em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u0915\u0939\u093e\u0901:<\/p>\n<ul>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u090f<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><mi>\u092c\u0940<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\u092a\u0940(\u090f|\u092c\u0940)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">\u090f<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.05017em;\">\u092c\u0940<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u0918\u091f\u0928\u093e A \u0915\u0940 \u092a\u0936\u094d\u091a \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0938\u093e\u0915\u094d\u0937\u094d\u092f B \u0926\u093f\u090f \u091c\u093e\u0928\u0947 \u092a\u0930 \u0939\u0948\u0964<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u092c\u0940<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><mi>\u090f<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\u092a\u0940(\u092c\u0940|\u090f)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.05017em;\">\u092c\u0940<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">\u090f<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u0918\u091f\u0928\u093e A \u0915\u094b \u0926\u0947\u0916\u0924\u0947 \u0939\u0941\u090f \u0938\u093e\u0915\u094d\u0937\u094d\u092f B \u0915\u0947 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u090f<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\u092a\u0940(\u090f)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">\u090f<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u0918\u091f\u0928\u093e A \u0915\u0940 \u092a\u0942\u0930\u094d\u0935 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>\u092a\u0940<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u092c\u0940<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\u092a\u0940(\u092c\u0940)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">\u092a\u0940<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.05017em;\">\u092c\u0940<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u0938\u093e\u0915\u094d\u0937\u094d\u092f \u092c\u0940 \u0915\u0940 \u0938\u0940\u092e\u093e\u0902\u0924 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0907\u0928 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u092e\u0949\u0921\u0932 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948, \u091c\u0948\u0938\u0947 \u0915\u093f \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0928\u0947\u091f\u0935\u0930\u094d\u0915, \u092e\u093e\u0930\u094d\u0915\u094b\u0935 \u092e\u0949\u0921\u0932 \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u0917\u094d\u0930\u093e\u092b\u093f\u0915\u0932 \u092e\u0949\u0921\u0932\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947 \u0914\u0930 \u0928\u090f \u0921\u0947\u091f\u093e \u0915\u0947 \u0906\u0928\u0947 \u092a\u0930 \u092e\u0949\u0921\u0932 \u0915\u094b \u0905\u092a\u0921\u0947\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0942\u0930\u094d\u0935 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902, \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u0914\u0930 \u0938\u093e\u0915\u094d\u0937\u094d\u092f \u0915\u094b \u0928\u093f\u0930\u094d\u0926\u093f\u0937\u094d\u091f \u0915\u0930\u0928\u093e \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0964<\/p>\n<h2>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902<\/h2>\n<p>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0908 \u092a\u094d\u0930\u092e\u0941\u0916 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948 \u091c\u094b \u0907\u0938\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092c\u0939\u0941\u092e\u0941\u0916\u0940 \u0914\u0930 \u092e\u0942\u0932\u094d\u092f\u0935\u093e\u0928 \u0909\u092a\u0915\u0930\u0923 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948\u0902:<\/p>\n<ol>\n<li>\n<p><strong>\u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0938\u0947 \u0928\u093f\u092a\u091f\u0928\u093e<\/strong>\u092f\u0939 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u094b \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u0915\u0930 \u0938\u094d\u092a\u0937\u094d\u091f \u0930\u0942\u092a \u0938\u0947 \u0938\u0902\u092d\u093e\u0932 \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0921\u093e\u091f\u093e \u0938\u0902\u0932\u092f\u0928<\/strong>\u092f\u0939 \u092a\u0942\u0930\u094d\u0935 \u091c\u094d\u091e\u093e\u0928 \u0915\u094b \u0905\u0935\u0932\u094b\u0915\u093f\u0924 \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0928\u093f\u0930\u094d\u092c\u093e\u0927 \u090f\u0915\u0940\u0915\u0930\u0923 \u0915\u0940 \u0938\u0941\u0935\u093f\u0927\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u092e\u091c\u092c\u0942\u0924 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u093e<\/strong>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u091c\u091f\u093f\u0932 \u0914\u0930 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0935\u093e\u0924\u093e\u0935\u0930\u0923 \u092e\u0947\u0902 \u092d\u0940 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0924\u0930\u094d\u0915\u0938\u0902\u0917\u0924 \u0906\u0927\u093e\u0930 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0935\u0943\u0926\u094d\u0927\u093f\u0936\u0940\u0932 \u0936\u093f\u0915\u094d\u0937\u093e<\/strong>\u091c\u0948\u0938\u0947-\u091c\u0948\u0938\u0947 \u0928\u092f\u093e \u0921\u0947\u091f\u093e \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b\u0924\u093e \u091c\u093e\u090f\u0917\u093e, \u092e\u0949\u0921\u0932 \u0915\u094b \u0932\u0917\u093e\u0924\u093e\u0930 \u0905\u0926\u094d\u092f\u0924\u0928 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<\/ol>\n<h2>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930<\/h2>\n<p>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u092e\u0947\u0902 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0924\u0915\u0928\u0940\u0915\u0947\u0902 \u0914\u0930 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0939\u0948\u0964 \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0947 \u0915\u0941\u091b \u092a\u094d\u0930\u092e\u0941\u0916 \u092a\u094d\u0930\u0915\u093e\u0930\u094b\u0902 \u092e\u0947\u0902 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u092a\u094d\u0930\u0915\u093e\u0930<\/th>\n<th>\u0935\u093f\u0935\u0930\u0923<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u0928\u0947\u091f\u0935\u0930\u094d\u0915<\/td>\n<td>\u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e\u0913\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093f\u0924 \u0905\u091a\u0915\u094d\u0930\u0940\u092f \u0917\u094d\u0930\u093e\u092b\u0964<\/td>\n<\/tr>\n<tr>\n<td>\u092e\u093e\u0930\u094d\u0915\u094b\u0935 \u092e\u0949\u0921\u0932<\/td>\n<td>\u092e\u093e\u0930\u094d\u0915\u094b\u0935 \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u092e\u0949\u0921\u0932, \u091c\u0939\u093e\u0902 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u093e\u0901 \u0915\u0947\u0935\u0932 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0938\u094d\u0925\u093f\u0924\u093f \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902, \u0907\u0924\u093f\u0939\u093e\u0938 \u092a\u0930 \u0928\u0939\u0940\u0902\u0964<\/td>\n<\/tr>\n<tr>\n<td>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0938\u0941\u0926\u0943\u0922\u0940\u0915\u0930\u0923 \u0938\u0940\u0916\u0928\u093e<\/td>\n<td>\u0907\u0937\u094d\u091f\u0924\u092e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u0941\u0926\u0943\u0922\u0940\u0915\u0930\u0923 \u0938\u0940\u0916\u0928\u0947 \u0915\u0947 \u0938\u093e\u0925 \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u093e 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\u092a\u0939\u091a\u093e\u0928 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0917\u0924\u093f\u0936\u0940\u0932 \u092d\u093e\u0930 \u0938\u0902\u0924\u0941\u0932\u0928<\/strong>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u092d\u093f\u0928\u094d\u0928-\u092d\u093f\u0928\u094d\u0928 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0938\u0930\u094d\u0935\u0930 \u091a\u092f\u0928 \u0915\u094b \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u091f\u094d\u0930\u0948\u092b\u093c\u093f\u0915 \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928<\/strong>\u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u092e\u0949\u0921\u0932 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u0947 \u091f\u094d\u0930\u0948\u092b\u093f\u0915 \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u0940 \u092d\u0935\u093f\u0937\u094d\u092f\u0935\u093e\u0923\u0940 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0938\u0947 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0915\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928 \u092c\u0947\u0939\u0924\u0930 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<\/ul>\n<h2>\u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0932\u093f\u0902\u0915\u094d\u0938<\/h2>\n<p>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0938\u093e\u0927\u0928\u094b\u0902 \u0915\u093e \u092a\u0924\u093e \u0932\u0917\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ol>\n<li>\n<p><a href=\"https:\/\/github.com\/CamDavidsonPilon\/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers\" target=\"_new\" rel=\"noopener nofollow\">\u0939\u0948\u0915\u0930\u094d\u0938 \u0915\u0947 \u0932\u093f\u090f \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0935\u093f\u0927\u093f\u092f\u093e\u0901<\/a> - \u092a\u093e\u092f\u0925\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u093e \u090f\u0915 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u092a\u0930\u093f\u091a\u092f\u0964<\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/www.cs.cmu.edu\/~epxing\/Class\/10708-19\/notes.html\" target=\"_new\" rel=\"noopener nofollow\">\u0938\u0902\u092d\u093e\u0935\u094d\u092f \u0917\u094d\u0930\u093e\u092b\u093f\u0915\u0932 \u092e\u0949\u0921\u0932<\/a> \u2013 \u0915\u093e\u0930\u094d\u0928\u0947\u0917\u0940 \u092e\u0947\u0932\u0928 \u0935\u093f\u0936\u094d\u0935\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0938\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u0917\u094d\u0930\u093e\u092b\u093f\u0915\u0932 \u092e\u0949\u0921\u0932 \u092a\u0930 \u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e \u0928\u094b\u091f\u094d\u0938\u0964<\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/mc-stan.org\/\" target=\"_new\" rel=\"noopener nofollow\">\u0938\u094d\u091f\u0947\u0928 \u2013 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917<\/a> - \u090f\u0915 \u0932\u094b\u0915\u092a\u094d\u0930\u093f\u092f \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0922\u093e\u0902\u091a\u093e\u0964<\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/online.stat.psu.edu\/stat504\/node\/3\/\" target=\"_new\" rel=\"noopener nofollow\">\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u0915\u093e \u092a\u0930\u093f\u091a\u092f<\/a> - \u092c\u093e\u092f\u0947\u0938\u093f\u092f\u0928 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u0915\u093e \u090f\u0915 \u0935\u094d\u092f\u093e\u092a\u0915 \u092a\u0930\u093f\u091a\u092f\u0964<\/p>\n<\/li>\n<\/ol>\n<h2>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/h2>\n<p>\u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u094b \u092e\u0949\u0921\u0932 \u0915\u0930\u0928\u0947 \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u0924\u0930\u094d\u0915 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0936\u0915\u094d\u0924\u093f\u0936\u093e\u0932\u0940 \u0914\u0930 \u0932\u091a\u0940\u0932\u093e \u0922\u093e\u0902\u091a\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0943\u0924\u094d\u0930\u093f\u092e \u092c\u0941\u0926\u094d\u0927\u093f\u092e\u0924\u094d\u0924\u093e \u0938\u0947 \u0932\u0947\u0915\u0930 \u0930\u094b\u092c\u094b\u091f\u093f\u0915\u094d\u0938 \u0914\u0930 \u0909\u0938\u0938\u0947 \u092d\u0940 \u0906\u0917\u0947 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u0935\u094d\u092f\u093e\u092a\u0915 \u0939\u0948\u0964 \u091c\u0948\u0938\u0947-\u091c\u0948\u0938\u0947 \u0924\u0915\u0928\u0940\u0915 \u0935\u093f\u0915\u0938\u093f\u0924 \u0939\u094b\u0924\u0940 \u091c\u093e \u0930\u0939\u0940 \u0939\u0948, \u092c\u0947\u092f\u0938\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0938\u0902\u092d\u093e\u0935\u094d\u092f \u092e\u0949\u0921\u0932\u093f\u0902\u0917 \u0914\u0930 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u0935\u093e\u0932\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u0915\u0947 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u094b \u0906\u0915\u093e\u0930 \u0926\u0947\u0928\u0947 \u092e\u0947\u0902 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092d\u0942\u092e\u093f\u0915\u093e \u0928\u093f\u092d\u093e\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964<\/p>","protected":false},"featured_media":467704,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-475995","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Bayesian Programming: Unveiling the Power of Probabilistic Inference<\/mark>","faq_items":[{"question":"What is Bayesian programming?","answer":"<p><strong>Answer<\/strong>: Bayesian programming is a powerful approach that leverages probability theory and Bayesian inference to model uncertain systems, make decisions, and update knowledge based on new data. It finds applications in various fields such as artificial intelligence, machine learning, robotics, and data analysis.<\/p>"},{"question":"What is the history behind Bayesian programming?","answer":"<p><strong>Answer<\/strong>: The concept of Bayesian programming traces its roots back to Reverend Thomas Bayes, an 18th-century mathematician who introduced Bayes' theorem. However, Bayesian methods gained prominence in the 20th century across disciplines like statistics, computer science, and artificial intelligence.<\/p>"},{"question":"How does Bayesian programming work?","answer":"<p><strong>Answer<\/strong>: At its core, Bayesian programming involves creating probabilistic models, using prior probabilities and likelihood functions to perform inference, and updating these models as new data becomes available.<\/p>"},{"question":"What are the key features of Bayesian programming?","answer":"<p><strong>Answer<\/strong>: Bayesian programming offers uncertainty handling, data fusion, robust decision-making, and incremental learning. It enables reasoning in complex and uncertain environments with a solid foundation of probability.<\/p>"},{"question":"What are the types of Bayesian programming?","answer":"<p><strong>Answer<\/strong>: Bayesian programming includes various techniques such as Bayesian networks, Markov models, and Bayesian reinforcement learning, each suited to different problem domains.<\/p>"},{"question":"What are the applications of Bayesian programming?","answer":"<p><strong>Answer<\/strong>: Bayesian programming finds applications in machine learning, robotics, medical diagnosis, and other domains where uncertainty needs to be explicitly addressed.<\/p>"},{"question":"What are the challenges of using Bayesian programming?","answer":"<p><strong>Answer<\/strong>: Computational complexity and data availability are some of the challenges in Bayesian programming, especially for large models and domains with limited data.<\/p>"},{"question":"What are the future technologies related to Bayesian programming?","answer":"<p><strong>Answer<\/strong>: Future technologies include probabilistic programming languages, Bayesian optimization, and deep Bayesian learning, which will enhance the application of Bayesian methods.<\/p>"},{"question":"How is Bayesian programming related to proxy servers?","answer":"<p><strong>Answer<\/strong>: While not immediately apparent, Bayesian methods can be employed in proxy server settings for anomaly detection, dynamic load balancing, and network traffic prediction, optimizing performance and security.<\/p>"},{"question":"Where can I find more information about Bayesian programming?","answer":"<p><strong>Answer<\/strong>: For further exploration, you can check out resources like \"Bayesian Methods for Hackers,\" \"Probabilistic Graphical Models\" course notes, Stan - Probabilistic Programming, and Introduction to Bayesian Statistics.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/475995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/475995\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media\/467704"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media?parent=475995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}