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Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences

R. C. Venkatesan
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Abstract

A variational principle for the rate distortion (RD) theory with Bregman divergences is formulated within the ambit of the generalized (nonextensive) statistics of Tsallis. The Tsallis-Bregman RD lower bound is established. Alternate minimization schemes for the generalized Bregman RD (GBRD) theory are derived. A computational strategy to implement the GBRD model is presented. The efficacy of the GBRD model is exemplified with the aid of numerical simulations.

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BibTeXRIS

R. C. Venkatesan. 2007-01-15. Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences. https://arxiv.org/abs/cond-mat/0701218

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