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Iterative constrained maximum likelihood estimation via expectation propagation
Conference proceeding

Iterative constrained maximum likelihood estimation via expectation propagation

John Mac Laren Walsh and Phillip A. Regalia
2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings, v 5, pp V713-V716
2006

Abstract

Acoustics
Expectation propagation defines a family of algorithms for approximate Bayesian statistical inference which generalize belief propagation on factor graphs with loops. As is the case for belief propagation in loopy factor graphs, it is not well understood why the stationary points of expectation propagation can yield good estimates. In this paper, given a reciprocity condition which holds in most cases, we provide a constrained maximum likelihood estimation problem whose critical points yield the stationary points of expectation propagation. Expectation propagation may then be interpreted as a nonlinear block Gauss Seidel method seeking a critical point of this optimization problem

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