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arXiv · 1805.06282

Max-Product for Maximum Weight Matching - Revisited

Mario Holldack
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Abstract

We focus on belief propagation for the assignment problem, also known as the maximum weight bipartite matching problem. We provide a constructive proof that the well-known upper bound on the number of iterations (Bayati, Shah, Sharma 2008) is tight up to a factor of four. Furthermore, we investigate the behavior of belief propagation when convergence is not required. We show that the number of iterations required for a sharp approximation consumes a large portion of the convergence time. Finally, we propose an "approximate belief propagation" algorithm for the assignment problem.

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Mario Holldack. 2018-05-16. Max-Product for Maximum Weight Matching - Revisited. https://arxiv.org/abs/1805.06282

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