Generalized Statistics Framework for Rate Distortion Theory
<|reference_start|>Generalized Statistics Framework for Rate Distortion Theory: 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.<|reference_end|>
@article{venkatesan2006generalized,
    title={Generalized Statistics Framework for Rate Distortion Theory},
    author={R. C. Venkatesan and A. Plastino},
    journal={arXiv preprint arXiv:cond-mat/0611567},
    year={2006},
    archivePrefix={arXiv},
    eprint={cond-mat/0611567},
    primaryClass={cond-mat.stat-mech cs.IT math.IT}
}