  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.
