@inproceedings{9360ae4fd12c4b10b6f25dcc9cbdf240,
title = "On projections of the R{\'e}nyi divergence on generalized convex sets",
abstract = "Motivated by a recent result by van Erven and Harremo{\"e}s, we study a forward projection problem for the R{\'e}nyi divergence on a particular α-convex set, termed α-linear family. The solution to this problem yields a parametric family of probability measures which turns out to be an extension of the exponential family, and it is termed α-exponential family. An orthogonality relationship between the α-exponential and α-linear families is first established and is then used to transform the reverse projection on an α-exponential family into a forward projection on an α-linear family. The full paper version of this work is available on the arXiv at http://arxiv.org/abs/1512.02515.",
keywords = "R{\'e}nyi divergence, exponential and linear families, forward and reverse projections, relative entropy, variational distance, α-convex set",
author = "Kumar, {M. Ashok} and Igal Sason",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Symposium on Information Theory, ISIT 2016 ; Conference date: 10-07-2016 Through 15-07-2016",
year = "2016",
month = aug,
day = "10",
doi = "10.1109/ISIT.2016.7541474",
language = "الإنجليزيّة",
series = "IEEE International Symposium on Information Theory - Proceedings",
pages = "1123--1127",
booktitle = "Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory",
}