Beta-divergence as a subclass of Bregman divergence

Romain Hennequin; Bertrand David; Roland Badeau

doi:10.1109/LSP.2010.2096211

Beta-divergence as a subclass of Bregman divergence

Romain Hennequin
, Bertrand David
, Roland Badeau

CNRS LTCI

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

31 Citations (Scopus)

Résumé

In this paper, we present a complete proof that the β-divergence is a particular case of Bregman divergence. This little-known result makes it possible to straightforwardly apply theorems about Bregman divergences to β-divergences. This is of interest for numerous applications since these divergences are widely used, for instance in non-negative matrix factorization (NMF).

langue originale	Anglais
Numéro d'article	5654542
Pages (de - à)	83-86
Nombre de pages	4
journal	IEEE Signal Processing Letters
Volume	18
Numéro de publication	2
Les DOIs	https://doi.org/10.1109/LSP.2010.2096211
état	Publié - 1 janv. 2011
Modification externe	Oui

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10.1109/LSP.2010.2096211

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title = "Beta-divergence as a subclass of Bregman divergence",

abstract = "In this paper, we present a complete proof that the β-divergence is a particular case of Bregman divergence. This little-known result makes it possible to straightforwardly apply theorems about Bregman divergences to β-divergences. This is of interest for numerous applications since these divergences are widely used, for instance in non-negative matrix factorization (NMF).",

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AB - In this paper, we present a complete proof that the β-divergence is a particular case of Bregman divergence. This little-known result makes it possible to straightforwardly apply theorems about Bregman divergences to β-divergences. This is of interest for numerous applications since these divergences are widely used, for instance in non-negative matrix factorization (NMF).

KW - Beta-divergence

KW - Bregman divergence

KW - non-negative matrix factorization

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Beta-divergence as a subclass of Bregman divergence

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