{"id":3782,"date":"2023-07-15T14:06:42","date_gmt":"2023-07-15T14:06:42","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%a7%d8%ae%d8%aa%d9%84%d8%a7%d9%81-%d9%81%d9%8a-kl-%d9%81%d9%8a-r\/"},"modified":"2023-07-15T14:06:42","modified_gmt":"2023-07-15T14:06:42","slug":"%d8%a7%d9%84%d8%a7%d8%ae%d8%aa%d9%84%d8%a7%d9%81-%d9%81%d9%8a-kl-%d9%81%d9%8a-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%a7%d8%ae%d8%aa%d9%84%d8%a7%d9%81-%d9%81%d9%8a-kl-%d9%81%d9%8a-r\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u0639\u062f kl \u0641\u064a r (\u0645\u0639 \u0645\u062b\u0627\u0644)"},"content":{"rendered":"

<\/p>\n

\n

\u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621\u060c \u064a\u0639\u062f \u062a\u0628\u0627\u0639\u062f \u0643\u0648\u0644\u0628\u0627\u0643-\u0644\u064a\u0628\u0644\u0631 (KL)<\/strong> \u0645\u0642\u064a\u0627\u0633\u064b\u0627 \u0644\u0644\u0645\u0633\u0627\u0641\u0629 \u064a\u062d\u062f\u062f \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u062a\u0648\u0632\u064a\u0639\u064a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u064a\u0646.<\/span><\/p>\n

\u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u062a\u0648\u0632\u064a\u0639\u0627\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0627\u0646\u060c P \u0648 Q\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0643\u062a\u0628 \u0639\u0645\u0648\u0645\u064b\u0627 \u062a\u0628\u0627\u0639\u062f KL \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0645\u0632 KL(P || Q)\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u0639\u0646\u064a “\u0627\u062e\u062a\u0644\u0627\u0641 P \u0639\u0646 Q”.<\/span><\/p>\n

\u0648\u0646\u062d\u0633\u0628\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n

KL(P || Q) = \u03a3P(x) ln<\/em> (P(x) \/ Q(x))<\/span><\/p>\n

\u0625\u0630\u0627 \u0643\u0627\u0646 \u062a\u0628\u0627\u0639\u062f KL \u0628\u064a\u0646 \u062a\u0648\u0632\u064a\u0639\u064a\u0646 \u0635\u0641\u0631\u0627\u064b\u060c \u0641\u0647\u0630\u0627 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0645\u062a\u0637\u0627\u0628\u0642\u0629.<\/span><\/p>\n

\u0625\u0646 \u0623\u0628\u0633\u0637 \u0637\u0631\u064a\u0642\u0629 \u0644\u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u0639\u062f KL \u0628\u064a\u0646 \u062a\u0648\u0632\u064a\u0639\u064a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u064a\u0646 \u0641\u064a R \u0647\u0648 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062f\u0627\u0644\u0629 KL()<\/strong> \u0645\u0646 \u0627\u0644\u062d\u0632\u0645\u0629 philentropy<\/strong> .<\/span><\/p>\n

\u064a\u0648\u0636\u062d \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0639\u0645\u0644\u064a\u064b\u0627.<\/span><\/p>\n

\u0645\u062b\u0627\u0644: \u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u0639\u062f KL \u0641\u064a R<\/strong><\/span><\/h2>\n

\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u062a\u064a\u0646 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646 \u0641\u064a R:<\/span><\/p>\n

 #define two probability distributions\nP <- c(.05, .1, .2, .05, .15, .25, .08, .12)\nQ <- c(.3, .1, .2, .1, .1, .02, .08, .1)\n<\/span><\/span><\/strong><\/pre>\n
 \u0645\u0644\u062d\u0648\u0638\u0629<\/strong> : \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u062c\u0645\u0648\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0643\u0644 \u062a\u0648\u0632\u064a\u0639 \u0647\u0648 \u0648\u0627\u062d\u062f.<\/span><\/p>\n
 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u0639\u062f KL \u0628\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u062a\u064a\u0646:<\/span><\/p>\n
 library<\/span> (philentropy)\n\n#rbind distributions into one matrix\n<\/span>x <- rbind(P,Q)\n\n#calculate KL divergence\n<\/span>KL(x, unit=' log<\/span> ')\n\nMetric: 'kullback-leibler' using unit: 'log'; comparing: 2 vectors.\nkullback-leibler \n       0.5898852 \n<\/span><\/span><\/strong><\/pre>\n
 \u064a\u0628\u0644\u063a \u0627\u0646\u062d\u0631\u0627\u0641 KL \u0644\u062a\u0648\u0632\u064a\u0639 P \u0639\u0646 \u062a\u0648\u0632\u064a\u0639 Q \u062d\u0648\u0627\u0644\u064a 0.589<\/strong> .<\/span><\/p>\n
 \u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u0648\u062d\u062f\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062d\u0633\u0627\u0628 \u062a\u064f\u0639\u0631\u0641 \u0628\u0627\u0633\u0645 nats<\/a> \u060c \u0648\u0647\u064a \u0627\u062e\u062a\u0635\u0627\u0631 \u0644\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0644\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a<\/em> .<\/span><\/p>\n
 \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0642\u0648\u0644 \u0623\u0646 \u062a\u0628\u0627\u0639\u062f KL \u0647\u0648 0.589 \u0646\u0627\u062a\u0633<\/strong> .<\/span><\/p>\n
 \u0644\u0627\u062d\u0638 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646 \u062a\u0628\u0627\u0639\u062f KL \u0644\u064a\u0633 \u0645\u0642\u064a\u0627\u0633\u064b\u0627 \u0645\u062a\u0645\u0627\u062b\u0644\u064b\u0627. \u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0646\u0627 \u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 \u0627\u0646\u062d\u0631\u0627\u0641 KL \u0644\u062a\u0648\u0632\u064a\u0639 Q \u0639\u0646 \u062a\u0648\u0632\u064a\u0639 P\u060c \u0641\u0645\u0646 \u0627\u0644\u0645\u062d\u062a\u0645\u0644 \u0623\u0646 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0645\u062e\u062a\u0644\u0641\u0629:<\/span><\/p>\n
 library<\/span> (philentropy)\n\n#rbind distributions into one matrix\n<\/span>x <- rbind(Q,P)\n\n#calculate KL divergence\n<\/span>KL(x, unit=' log<\/span> ')\n\nMetric: 'kullback-leibler' using unit: 'log'; comparing: 2 vectors.\nkullback-leibler \n       0.4975493 \n<\/span><\/span><\/strong><\/pre>\n
 \u064a\u0628\u0644\u063a \u0627\u0646\u062d\u0631\u0627\u0641 KL \u0644\u062a\u0648\u0632\u064a\u0639 Q \u0639\u0646 \u062a\u0648\u0632\u064a\u0639 P \u062d\u0648\u0627\u0644\u064a 0.497 \u0646\u0627\u062a\u0633<\/strong> .<\/span><\/p>\n
 \u0644\u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u0639\u062f KL \u0645\u0646 \u062d\u064a\u062b \u0627\u0644\u0628\u062a\u0627\u062a\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 log2 \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u0648\u062d\u062f\u0629<\/strong> :<\/span><\/p>\n
 library<\/span> (philentropy)\n\n#rbind distributions into one matrix\n<\/span>x <- rbind(P,Q)\n\n#calculate KL divergence (in bits)\n<\/span>KL(x, unit=' log2<\/span> ')\n\nMetric: 'kullback-leibler' using unit: 'log2'; comparing: 2 vectors.\nkullback-leibler \n       0.7178119\n<\/span><\/span><\/strong><\/pre>\n
 \u064a\u0628\u0644\u063a \u0627\u0646\u062d\u0631\u0627\u0641 KL \u0644\u062a\u0648\u0632\u064a\u0639 P \u0639\u0646 \u062a\u0648\u0632\u064a\u0639 Q \u062d\u0648\u0627\u0644\u064a 0.7178 \u0628\u062a<\/strong> .<\/span><\/p>\n
 \u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h2>\n
 \u062a\u0634\u0631\u062d \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0645\u0647\u0627\u0645 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0641\u064a R:<\/span><\/p>\n
 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0641\u064a R<\/a>
 \u0643\u064a\u0641\u064a\u0629 \u0631\u0633\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0641\u064a R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621\u060c \u064a\u0639\u062f \u062a\u0628\u0627\u0639\u062f \u0643\u0648\u0644\u0628\u0627\u0643-\u0644\u064a\u0628\u0644\u0631 (KL) \u0645\u0642\u064a\u0627\u0633\u064b\u0627 \u0644\u0644\u0645\u0633\u0627\u0641\u0629 \u064a\u062d\u062f\u062f \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u062a\u0648\u0632\u064a\u0639\u064a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u064a\u0646. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u062a\u0648\u0632\u064a\u0639\u0627\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0627\u0646\u060c P \u0648 Q\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0643\u062a\u0628 \u0639\u0645\u0648\u0645\u064b\u0627 \u062a\u0628\u0627\u0639\u062f KL \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0645\u0632 KL(P || Q)\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u0639\u0646\u064a “\u0627\u062e\u062a\u0644\u0627\u0641 P \u0639\u0646 Q”. \u0648\u0646\u062d\u0633\u0628\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: KL(P || Q) = \u03a3P(x) ln (P(x) \/ Q(x)) \u0625\u0630\u0627 \u0643\u0627\u0646 \u062a\u0628\u0627\u0639\u062f KL \u0628\u064a\u0646 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"\n\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u0639\u062f KL \u0641\u064a R (\u0645\u0639 \u0645\u062b\u0627\u0644) - 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