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

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

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).

Original language	English
Article number	5654542
Pages (from-to)	83-86
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	18
Issue number	2
DOIs	https://doi.org/10.1109/LSP.2010.2096211
Publication status	Published - 1 Jan 2011
Externally published	Yes

Keywords

Beta-divergence
Bregman divergence
non-negative matrix factorization

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10.1109/LSP.2010.2096211

Cite this

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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

Abstract

Keywords

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