Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences

Details Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences

2007-01-10

arxiv.org/abs/cond-mat/0701218v3

Physics

Condensed Matter

Statistical Mechanics

5 pages + 2 figures. Typos corrected

Scientific paper

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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