Title
Iterative Constrained Maximum Likelihood Estimation Via Expectation Propagation
Abstract
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.
Year
DOI
Venue
2006
10.1109/ICASSP.2006.1661375
2006 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-13
Keywords
Field
DocType
bayesian methods,factor graph,factor graphs,maximum likelihood estimate,bayesian statistics,gaussian processes,optimization problem,belief propagation,computational complexity,maximum likelihood estimation,iterative methods,critical point,gauss seidel
Factor graph,Mathematical optimization,Pattern recognition,Iterative method,Stationary point,Artificial intelligence,Statistical inference,Expectation propagation,Optimization problem,Gauss–Seidel method,Mathematics,Belief propagation
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
3
2
Name
Order
Citations
PageRank
John MacLaren Walsh110717.90
Phillip A. Regalia2377106.45