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Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2018

Generalized divergences from generalized entropies

Résumé

Several quantifiers of information, also known as entropies, have been introduced in different contexts and from different motivations. For almost each one of these entropies, a measure of the loss (or gain) of information has been introduced. In this work we introduce generalized weighted divergences associated with an arbitrary entropy. The resulting measures are closely related to Bregman divergences. We study the main formal properties of the resulting divergences, we extend them to weighted probability distributions and we apply some of them to the analysis of simulated and real time series.
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Dates et versions

hal-01987470 , version 1 (21-01-2019)

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Leonardo Riveaud, Diego Mateos, Steeve Zozor, Pedro Lamberti. Generalized divergences from generalized entropies. Physica A: Statistical Mechanics and its Applications, 2018, 510, pp.68-76. ⟨10.1016/j.physa.2018.06.111⟩. ⟨hal-01987470⟩
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