Strongly Convex Divergences

We consider a sub-class of the f-divergences satisfying a stronger convexity property, which we refer to as strongly convex, or [Formula: see text]-convex divergences. We derive new and old relationships, based on convexity arguments, between popular f-divergences.

Detalles Bibliográficos
Autor principal: Melbourne, James
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712413/
https://www.ncbi.nlm.nih.gov/pubmed/33287092
http://dx.doi.org/10.3390/e22111327
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author Melbourne, James
author_facet Melbourne, James
author_sort Melbourne, James
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description We consider a sub-class of the f-divergences satisfying a stronger convexity property, which we refer to as strongly convex, or [Formula: see text]-convex divergences. We derive new and old relationships, based on convexity arguments, between popular f-divergences.
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spelling pubmed-77124132021-02-24 Strongly Convex Divergences Melbourne, James Entropy (Basel) Article We consider a sub-class of the f-divergences satisfying a stronger convexity property, which we refer to as strongly convex, or [Formula: see text]-convex divergences. We derive new and old relationships, based on convexity arguments, between popular f-divergences. MDPI 2020-11-21 /pmc/articles/PMC7712413/ /pubmed/33287092 http://dx.doi.org/10.3390/e22111327 Text en © 2020 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
Melbourne, James
Strongly Convex Divergences
title Strongly Convex Divergences
title_full Strongly Convex Divergences
title_fullStr Strongly Convex Divergences
title_full_unstemmed Strongly Convex Divergences
title_short Strongly Convex Divergences
title_sort strongly convex divergences
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712413/
https://www.ncbi.nlm.nih.gov/pubmed/33287092
http://dx.doi.org/10.3390/e22111327
work_keys_str_mv AT melbournejames stronglyconvexdivergences

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