20 citations · 58 across the 20 of their papers we have counts for
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On Relations Between Tight Bounds for Symmetric -Divergences and Binary Divergences
Tomohiro Nishiyama
Minimizing divergence measures under a constraint is an important problem. We derive a sufficient condition that binary divergence measures provide lower bounds for symmetric diver…
Tight Lower Bounds for -Divergences Under Moment Constraints and Relations Between Different
Tomohiro Nishiyama
The -divergences include the well-known Kullback-Leibler divergence, Hellinger distance and -divergence. In this paper, we derive differential and integral relations betwee…
A Tight Lower Bound for the Hellinger Distance with Given Means and Variances
Tomohiro Nishiyama
The binary divergences that are divergences between probability measures defined on the same 2-point set have an interesting property. For the chi-squared divergence and the relati…
On Relations Between the Relative entropy and -Divergence, Generalizations and Applications
Tomohiro Nishiyama, Igal Sason
The relative entropy and chi-squared divergence are fundamental divergence measures in information theory and statistics. This paper is focused on a study of integral relations bet…
Convex Optimization on Functionals of Probability Densities
Tomohiro Nishiyama
In information theory, some optimization problems result in convex optimization problems on strictly convex functionals of probability densities. In this note, we study these probl…
Minimization Problems on Strictly Convex Divergences
Tomohiro Nishiyama
The divergence minimization problem plays an important role in various fields. In this note, we focus on differentiable and strictly convex divergences. For some minimization probl…