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Divergência de Kullback-Leibler×Distância de Hellinger×
ÁreaTomada de decisãoTomada de decisão
FamíliaMCDMMCDM
Ano de origem19511909
Autor originalSolomon Kullback and Richard LeiblerErnst Hellinger
TipoAsymmetric probability distribution dissimilaritySymmetric metric for probability distributions
Fonte seminalKullback, 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 ↗
Outros nomesKL divergence, relative entropy, information divergenceBhattacharyya distance, Hellinger metric
Relacionados22
ResumoKullback-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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ScholarGateComparar métodos: Kullback-Leibler Divergence · Hellinger Distance. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare