Abstract : In this paper, we present a complete proof that the beta-divergence is a particular case of Bregman divergence. This little-known result makes it possible to straightforwardly apply theorems about Bregman divergences to beta-divergences. This is of interest for numerous applications since these divergences are widely used, for instance in non-negative matrix factorization (NMF).
Type de document :
Article dans une revue
IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2011, 18 (2), pp.83--86
https://hal.inria.fr/hal-00945202
Contributeur : Roland Badeau
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Soumis le : mardi 25 mars 2014 - 09:28:36
Dernière modification le : jeudi 11 janvier 2018 - 06:23:39
Document(s) archivé(s) le : mercredi 25 juin 2014 - 10:42:27
Romain Hennequin, Bertrand David, Roland Badeau. Beta-divergence as a subclass of Bregman divergence. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2011, 18 (2), pp.83--86. 〈hal-00945202〉
