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On The Equivalence of Projections In Relative alpha-Entropy and Renyi Divergence

Karthik, PN and Sundaresan, Rajesh (2018) On The Equivalence of Projections In Relative alpha-Entropy and Renyi Divergence. In: 2018 Twenty Fourth National Conference on Communications (NCC), FEB 25-28, 2018, Hyderabad, INDIA.

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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 Renyi divergence, are equivalent under a correspondence on the space of probability measures. Further, we demonstrate that the associated ``Pythagorean'' theorems are equivalent under this correspondence. Finally, we apply Eguchi's method of obtaining Riemannian metrics from general divergence functions to show that the geometry arising from the above divergences are equivalent under the aforementioned correspondence.

Item Type: Conference Proceedings
Additional Information: 24th National Conference on Communications (NCC), Hyderabad, INDIA, FEB 25-28, 2018
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Depositing User: Id for Latest eprints
Date Deposited: 19 Mar 2019 09:19
Last Modified: 19 Mar 2019 09:19
URI: http://eprints.iisc.ac.in/id/eprint/61969

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