Title :
Beta-Divergence as a Subclass of Bregman Divergence
Author :
Hennequin, Romain ; David, Bertrand ; Badeau, Roland
Author_Institution :
LTCI, Telecom ParisTech, Paris, France
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).
Keywords :
matrix decomposition; Bregman divergence; beta-divergence; non-negative matrix factorization; Approximation methods; Cost function; Electronic mail; Materials; Signal processing; Spectroscopy; USA Councils; Beta-divergence; Bregman divergence; non-negative matrix factorization;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2010.2096211
