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Beta-divergence as a subclass of Bregman divergence

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).
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https://hal.inria.fr/hal-00945202
Contributor : Roland Badeau <>
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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⟩

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