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쿨백-라이블러 발산×Hellinger 거리×
분야의사결정의사결정
계열MCDMMCDM
기원 연도19511909
창시자Solomon Kullback and Richard LeiblerErnst Hellinger
유형Asymmetric probability distribution dissimilaritySymmetric metric for probability distributions
원전Kullback, S., & Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22(1), 79-86. DOI ↗Hellinger, E. (1909). Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen. Journal für die Reine und Angewandte Mathematik, 136, 210-271. DOI ↗
별칭KL divergence, relative entropy, information divergenceBhattacharyya distance, Hellinger metric
관련22
요약Kullback-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.Hellinger distance is a symmetric, bounded metric that measures the difference between two probability distributions. Rooted in the work of Ernst Hellinger (1909) and later formalized in statistical divergence by Anil Bhattacharyya (1946), this distance ranges from 0 (identical distributions) to 1. It is a true metric satisfying all mathematical distance properties and is particularly well-suited for comparing probability distributions in a symmetric, numerically stable manner.
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ScholarGate방법 비교: Kullback-Leibler Divergence · Hellinger Distance. 2026-06-18에 다음에서 검색함: https://scholargate.app/ko/compare