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cs.IT2020★ 6 cited
Conditions for the existence of a generalization of Rényi divergence
Rui F. Vigelis, Luiza H. F. de Andrade, Charles C. Cavalcante
We give necessary and sufficient conditions for the existence of a generalization of Rényi divergence, which is defined in terms of a deformed exponential function. If the underlyi…
cs.IT2018
Properties of a Generalized Divergence Related to Tsallis Relative Entropy
Rui F. Vigelis, Luiza H. F. de Andrade, Charles C. Cavalcante
In this paper, we investigate the partition inequality, joint convexity, and Pinsker's inequality, for a divergence that generalizes the Tsallis Relative Entropy and Kullback-Leibl…