Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences
<|reference_start|>Generalized Statistics Framework for Rate Distortion Theory with Bregman Divergences: 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.<|reference_end|>
@article{venkatesan2007generalized,
    title={Generalized Statistics Framework for Rate Distortion Theory with Bregman
  Divergences},
    author={R. C. Venkatesan},
    journal={arXiv preprint arXiv:cond-mat/0701218},
    year={2007},
    archivePrefix={arXiv},
    eprint={cond-mat/0701218},
    primaryClass={cond-mat.stat-mech cs.IT math.IT}
}