Generalized Pinsker Inequality for Bregman Divergences of Negative Tsallis Entropies

Guglielmo Beretta, Tommaso Cesari, Roberto Colomboni

The Pinsker inequality lower bounds the Kullback--Leibler divergence $D_{\text{KL}}$ in terms of total variation and provides a canonical way to convert $D_{\text{KL}}$ control…