Sufficient Conditions for Convergence of Loopy Belief Propagation
Abstract
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.
Cite
Text
Mooij and Kappen. "Sufficient Conditions for Convergence of Loopy Belief Propagation." Conference on Uncertainty in Artificial Intelligence, 2005.Markdown
[Mooij and Kappen. "Sufficient Conditions for Convergence of Loopy Belief Propagation." Conference on Uncertainty in Artificial Intelligence, 2005.](https://mlanthology.org/uai/2005/mooij2005uai-sufficient/)BibTeX
@inproceedings{mooij2005uai-sufficient,
title = {{Sufficient Conditions for Convergence of Loopy Belief Propagation}},
author = {Mooij, Joris M. and Kappen, Hilbert J.},
booktitle = {Conference on Uncertainty in Artificial Intelligence},
year = {2005},
pages = {396-403},
url = {https://mlanthology.org/uai/2005/mooij2005uai-sufficient/}
}