We derive novel sufficient conditions for convergence of Loopy Belief Propagation (also known as the Sum-Product algorithm) to a unique fixed point. Our results improve upon previously known conditions. For binary variables with (anti-)ferromagnetic interactions, our conditions seem to be sharp.
CITATION STYLE
Mooij, J. M., & Kappen, H. J. (2005). Sufficient conditions for convergence of Loopy Belief Propagation. In Proceedings of the 21st Conference on Uncertainty in Artificial Intelligence, UAI 2005 (pp. 396–403). AUAI Press.
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