# On The Equivalence of Projections In Relative $\alpha$-Entropy and R\'enyi Divergence

• Published 2017

#### Abstract

The aim of this work is to establish that two recently published projection theorems, one dealing with a parametric generalization of relative entropy and another dealing with Rényi divergence, are equivalent under a correspondence on the space of probability measures. Further, we demonstrate that the associated “Pythagorean” theorems are equivalent under… (More)