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/}
}