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Particle methods for maximum likelihood estimation in latent variable models
Authors:Adam M. Johansen  Arnaud Doucet  Manuel Davy
Affiliation:(1) Department of Mathematics, University Walk, University of Bristol, Bristol, BS8 1TW, UK;(2) Department of Statistics & Department of Computer Science, University of British Columbia, Vancouver, Canada;(3) LAGIS UMR 8146, BP 48, Cité scientifique, 59651 Villeneuve d’Ascq Cedex, France
Abstract:Standard methods for maximum likelihood parameter estimation in latent variable models rely on the Expectation-Maximization algorithm and its Monte Carlo variants. Our approach is different and motivated by similar considerations to simulated annealing; that is we build a sequence of artificial distributions whose support concentrates itself on the set of maximum likelihood estimates. We sample from these distributions using a sequential Monte Carlo approach. We demonstrate state-of-the-art performance for several applications of the proposed approach.
Keywords:Latent variable models  Markov chain Monte Carlo  Maximum likelihood  Sequential Monte Carlo  Simulated annealing
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