$f$-Divergence Inequalities via Functional Domination
Abstract
This paper considers derivation of -divergence inequalities via the approach of functional domination. Bounds on an -divergence based on one or several other -divergences are introduced, dealing with pairs of probability measures defined on arbitrary alphabets. In addition, a variety of bounds are shown to hold under boundedness assumptions on the relative information. The journal paper, which includes more approaches for the derivation of f-divergence inequalities and proofs, is available on the arXiv at https://arxiv.org/abs/1508.00335, and it has been published in the IEEE Trans. on Information Theory, vol. 62, no. 11, pp. 5973-6006, November 2016.
Cite
@article{arxiv.1610.09110,
title = {$f$-Divergence Inequalities via Functional Domination},
author = {Igal Sason and Sergio Verdú},
journal= {arXiv preprint arXiv:1610.09110},
year = {2016}
}
Comments
A conference paper, 5 pages. To be presented in the 2016 ICSEE International Conference on the Science of Electrical Engineering, Nov. 16--18, Eilat, Israel. See https://arxiv.org/abs/1508.00335 for the full paper version, published as a journal paper in the IEEE Trans. on Information Theory, vol. 62, no. 11, pp. 5973-6006, November 2016