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arxiv: 1401.2490 · v1 · pith:5X2QFSOSnew · submitted 2014-01-11 · 💻 cs.LG · stat.CO· stat.ML

An Online Expectation-Maximisation Algorithm for Nonnegative Matrix Factorisation Models

classification 💻 cs.LG stat.COstat.ML
keywords onlinealgorithmexpectation-maximisationfactorisationmatrixmodelsnonnegativeproblem
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In this paper we formulate the nonnegative matrix factorisation (NMF) problem as a maximum likelihood estimation problem for hidden Markov models and propose online expectation-maximisation (EM) algorithms to estimate the NMF and the other unknown static parameters. We also propose a sequential Monte Carlo approximation of our online EM algorithm. We show the performance of the proposed method with two numerical examples.

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