English

Best-First AND/OR Search for Most Probable Explanations

Artificial Intelligence 2012-06-26 v1

Abstract

The paper evaluates the power of best-first search over AND/OR search spaces for solving the Most Probable Explanation (MPE) task in Bayesian networks. The main virtue of the AND/OR representation of the search space is its sensitivity to the structure of the problem, which can translate into significant time savings. In recent years depth-first AND/OR Branch-and- Bound algorithms were shown to be very effective when exploring such search spaces, especially when using caching. Since best-first strategies are known to be superior to depth-first when memory is utilized, exploring the best-first control strategy is called for. The main contribution of this paper is in showing that a recent extension of AND/OR search algorithms from depth-first Branch-and-Bound to best-first is indeed very effective for computing the MPE in Bayesian networks. We demonstrate empirically the superiority of the best-first search approach on various probabilistic networks.

Keywords

Cite

@article{arxiv.1206.5268,
  title  = {Best-First AND/OR Search for Most Probable Explanations},
  author = {Radu Marinescu and Rina Dechter},
  journal= {arXiv preprint arXiv:1206.5268},
  year   = {2012}
}

Comments

Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)

R2 v1 2026-06-21T21:24:08.859Z