On f-Divergences: Integral Representations, Local Behavior, and Inequalities

This paper is focused on f-divergences, consisting of three main contributions. The first one introduces integral representations of a general f-divergence by means of the relative information spectrum. The second part provides a new approach for the derivation of f-divergence inequalities, and it e...

Descripción completa

Detalles Bibliográficos
Autor principal: Sason, Igal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512902/
https://www.ncbi.nlm.nih.gov/pubmed/33265473
http://dx.doi.org/10.3390/e20050383
_version_ 1783586264387158016
author Sason, Igal
author_facet Sason, Igal
author_sort Sason, Igal
collection PubMed
description This paper is focused on f-divergences, consisting of three main contributions. The first one introduces integral representations of a general f-divergence by means of the relative information spectrum. The second part provides a new approach for the derivation of f-divergence inequalities, and it exemplifies their utility in the setup of Bayesian binary hypothesis testing. The last part of this paper further studies the local behavior of f-divergences.
format Online
Article
Text
id pubmed-7512902
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-75129022020-11-09 On f-Divergences: Integral Representations, Local Behavior, and Inequalities Sason, Igal Entropy (Basel) Article This paper is focused on f-divergences, consisting of three main contributions. The first one introduces integral representations of a general f-divergence by means of the relative information spectrum. The second part provides a new approach for the derivation of f-divergence inequalities, and it exemplifies their utility in the setup of Bayesian binary hypothesis testing. The last part of this paper further studies the local behavior of f-divergences. MDPI 2018-05-19 /pmc/articles/PMC7512902/ /pubmed/33265473 http://dx.doi.org/10.3390/e20050383 Text en © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sason, Igal
On f-Divergences: Integral Representations, Local Behavior, and Inequalities
title On f-Divergences: Integral Representations, Local Behavior, and Inequalities
title_full On f-Divergences: Integral Representations, Local Behavior, and Inequalities
title_fullStr On f-Divergences: Integral Representations, Local Behavior, and Inequalities
title_full_unstemmed On f-Divergences: Integral Representations, Local Behavior, and Inequalities
title_short On f-Divergences: Integral Representations, Local Behavior, and Inequalities
title_sort on f-divergences: integral representations, local behavior, and inequalities
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512902/
https://www.ncbi.nlm.nih.gov/pubmed/33265473
http://dx.doi.org/10.3390/e20050383
work_keys_str_mv AT sasonigal onfdivergencesintegralrepresentationslocalbehaviorandinequalities

Ejemplares similares