Generalized Statistics Framework for Rate Distortion Theory

Abstract

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.

31 pages, 2 figures. Minor formatting and typographical changes

References in corpus (5)

• The information bottleneck method
• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Equivalence of the four versions of Tsallis statistics
• Information Theory based on Non-additive Information Content
• Generalized symmetric mutual information applied for the channel capacity