A Component-wise EM Algorithm for Mixtures

Details A Component-wise EM Algorithm for Mixtures A Component-wise EM Algorithm for Mixtures

2012-01-27

arxiv.org/abs/1201.5913v1

Journal of Computational and Graphical Statistics. (2001), 10 no.4 pp. 697--712

Statistics

Computation

Scientific paper

In some situations, EM algorithm shows slow convergence problems. One possible reason is that standard procedures update the parameters simultaneously. In this paper we focus on finite mixture estimation. In this framework, we propose a component-wise EM, which updates the parameters sequentially. We give an interpretation of this procedure as a proximal point algorithm and use it to prove the convergence. Illustrative numerical experiments show how our algorithm compares to EM and a version of the SAGE algorithm.

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