Upper and lower bounds for the Bregman divergence

In this paper we study upper and lower bounds on the Bregman divergence [Formula: see text] for some convex functional [Formula: see text] on a normed space [Formula: see text] , with subgradient [Formula: see text] . We give a considerably simpler new proof of the inequalities by Xu and Roach for t...

Descripción completa

Detalles Bibliográficos
Autor principal: Sprung, Benjamin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2019
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6325099/
https://www.ncbi.nlm.nih.gov/pubmed/30839886
http://dx.doi.org/10.1186/s13660-018-1953-y
Descripción
Sumario:In this paper we study upper and lower bounds on the Bregman divergence [Formula: see text] for some convex functional [Formula: see text] on a normed space [Formula: see text] , with subgradient [Formula: see text] . We give a considerably simpler new proof of the inequalities by Xu and Roach for the special case [Formula: see text] , [Formula: see text] . The results can be transferred to more general functions as well.

Ejemplares similares