Uniformly reweighted belief propagation for distributed Bayesian hypothesis testing
Paper in proceedings, 2011

Belief propagation (BP) is a technique for distributed inference in wireless networks and is often used even when the underlying graphical model contains cycles. In this paper, we propose a uniformly reweighted BP scheme that reduces the impact of cycles by weighting messages by a constant “edge appearance probability” ρ ≤ 1. We apply this algorithm to distributed binary hypothesis testing problems (e.g., distributed detection) in wireless networks with Markov random field models. We demonstrate that in the considered setting the proposed method outperforms standard BP, while maintaining similar complexity. We then show that the optimal ρ can be approximated as a simple function of the average node degree, and can hence be computed in a distributed fashion through a consensus algorithm.


Federico Penna

Polytechnic University of Turin

Henk Wymeersch

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Vladimir Savic

Technical University of Madrid

Proc. IEEE International Workshop on Statistical Signal Processing (SSP)

733 - 736 5967807

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Information and Communication Technology

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