An oracle inequality for quasi-Bayesian nonnegative matrix factorization


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Abstract

The aim of this paper is to provide some theoretical understanding of quasi-Bayesian aggregation methods of nonnegative matrix factorization. We derive an oracle inequality for an aggregated estimator. This result holds for a very general class of prior distributions and shows how the prior affects the rate of convergence.

About the authors

P. Alquier

CREST, ENSAE

Author for correspondence.
Email: pierre.alquier@ensae.fr
France, Paris

B. Guedj

Modal Project-Team

Email: pierre.alquier@ensae.fr
France, Paris

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