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واگرایی جنسن-شنون×واگرایی کولبک-لایبلر×
حوزهتصمیم‌گیریتصمیم‌گیری
خانوادهMCDMMCDM
سال پیدایش19911951
پدیدآورJ. LinSolomon Kullback and Richard Leibler
نوعSymmetric probability distribution dissimilarityAsymmetric probability distribution dissimilarity
منبع بنیادینLin, J. (1991). Divergence measures based on the Shannon entropy. IEEE Transactions on Information Theory, 37(1), 145-151. DOI ↗Kullback, S., & Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22(1), 79-86. DOI ↗
نام‌های دیگرJS divergence, symmetric KL divergence, JS distanceKL divergence, relative entropy, information divergence
مرتبط22
خلاصهJensen-Shannon divergence is a symmetric information-theoretic measure of the difference between two probability distributions. Developed by Jian Lin in 1991 as a refinement to the asymmetric Kullback-Leibler divergence, it overcomes KL's directional limitation by averaging the divergences in both directions. The result is a true metric (satisfying triangle inequality) that ranges from 0 (identical distributions) to 1, making it suitable for symmetric comparison tasks.Kullback-Leibler divergence, also called relative entropy or information divergence, measures the asymmetric difference between two probability distributions. Introduced by Solomon Kullback and Richard Leibler in 1951, this information-theoretic measure quantifies how one probability distribution diverges from a reference distribution, ranging from 0 (identical distributions) to infinity. It is foundational in information theory, machine learning, and decision-making with probabilistic frameworks.
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ScholarGateمقایسهٔ روش‌ها: Jensen-Shannon Divergence · Kullback-Leibler Divergence. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare