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An Oracle Inequality for Quasi-Bayesian Non-Negative Matrix Factorization

6 January 2016
Pierre Alquier
Benjamin Guedj
ArXiv (abs)PDFHTML
Abstract

The aim of this paper is to provide some theoretical understanding of quasi-Bayesian aggregation methods non-negative 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.

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