English

Bounding Search Space Size via (Hyper)tree Decompositions

Artificial Intelligence 2012-06-18 v1

Abstract

This paper develops a measure for bounding the performance of AND/OR search algorithms for solving a variety of queries over graphical models. We show how drawing a connection to the recent notion of hypertree decompositions allows to exploit determinism in the problem specification and produce tighter bounds. We demonstrate on a variety of practical problem instances that we are often able to improve upon existing bounds by several orders of magnitude.

Keywords

Cite

@article{arxiv.1206.3284,
  title  = {Bounding Search Space Size via (Hyper)tree Decompositions},
  author = {Lars Otten and Rina Dechter},
  journal= {arXiv preprint arXiv:1206.3284},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T21:19:39.419Z