Relationships between certain f -divergences

James C Melbourne, Mokshay Madiman, Murti V. Salapaka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

We investigate the concavity deficit of the entropy functional. Some properties of the skew-divergence are developed and a 'skew' \chi^{2} divergence is introduced. Various relationships between these f - divergences and others are established, including a reverse Pinsker type inequality for the skew divergence, which in turn yields a sharpening on the upper bound for the entropic concavity deficit.

Original languageEnglish (US)
Title of host publication2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1068-1073
Number of pages6
ISBN (Electronic)9781728131511
DOIs
StatePublished - Sep 2019
Event57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019 - Monticello, United States
Duration: Sep 24 2019Sep 27 2019

Publication series

Name2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019

Conference

Conference57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
Country/TerritoryUnited States
CityMonticello
Period9/24/199/27/19

Fingerprint

Dive into the research topics of 'Relationships between certain f -divergences'. Together they form a unique fingerprint.

Cite this