Belief Propagation for Min-Cost Network Flow: Convergence & Correctness

We formulate a Belief Propagation (BP) algorithm in the context of the capacitated minimum-cost network flow problem (MCF). Unlike most of the instances of BP studied in the past, the messages of BP in the context of this problem are piecewise-linear functions. We prove that BP converges to the opti...

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Bibliographic Details
Main Authors: Gamarnik, David, Shah, Devavrat, Wei, Yehua
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2012
Online Access:http://hdl.handle.net/1721.1/73521
https://orcid.org/0000-0001-8898-8778
https://orcid.org/0000-0003-0737-3259