English

Updating Probabilities in Multiply-Connected Belief Networks

Artificial Intelligence 2013-04-10 v1

Abstract

This paper focuses on probability updates in multiply-connected belief networks. Pearl has designed the method of conditioning, which enables us to apply his algorithm for belief updates in singly-connected networks to multiply-connected belief networks by selecting a loop-cutset for the network and instantiating these loop-cutset nodes. We discuss conditions that need to be satisfied by the selected nodes. We present a heuristic algorithm for finding a loop-cutset that satisfies these conditions.

Keywords

Cite

@article{arxiv.1304.2377,
  title  = {Updating Probabilities in Multiply-Connected Belief Networks},
  author = {Jaap Suermondt and Gregory F. Cooper},
  journal= {arXiv preprint arXiv:1304.2377},
  year   = {2013}
}

Comments

Appears in Proceedings of the Fourth Conference on Uncertainty in Artificial Intelligence (UAI1988)

R2 v1 2026-06-21T23:56:04.882Z