English

AND/OR Importance Sampling

Artificial Intelligence 2012-06-18 v1

Abstract

The paper introduces AND/OR importance sampling for probabilistic graphical models. In contrast to importance sampling, AND/OR importance sampling caches samples in the AND/OR space and then extracts a new sample mean from the stored samples. We prove that AND/OR importance sampling may have lower variance than importance sampling; thereby providing a theoretical justification for preferring it over importance sampling. Our empirical evaluation demonstrates that AND/OR importance sampling is far more accurate than importance sampling in many cases.

Cite

@article{arxiv.1206.3232,
  title  = {AND/OR Importance Sampling},
  author = {Vibhav Gogate and Rina Dechter},
  journal= {arXiv preprint arXiv:1206.3232},
  year   = {2012}
}

Comments

Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)

R2 v1 2026-06-21T21:19:31.207Z