Generalized Statistics Framework for Rate Distortion Theory

Details Generalized Statistics Framework for Rate Distortion Theory Generalized Statistics Framework for Rate Distortion Theory

2006-11-21

arxiv.org/abs/cond-mat/0611567v6

Physics

Condensed Matter

Statistical Mechanics

31 pages, 2 figures. Minor formatting and typographical changes

Scientific paper

Variational principles for the rate distortion (RD) theory in lossy compression are formulated within the ambit of the generalized nonextensive statistics of Tsallis, for values of the nonextensivity parameter satisfying $ 0 < q < 1 $ and $ q > 1 $. Alternating minimization numerical schemes to evaluate the nonextensive RD function, are derived. Numerical simulations demonstrate the efficacy of generalized statistics RD models.

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