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arXiv · 1206.3284

Bounding Search Space Size via (Hyper)tree Decompositions

Lars Otten·Rina Dechter
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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.

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Lars Otten, Rina Dechter. 2012-06-13. Bounding Search Space Size via (Hyper)tree Decompositions. https://arxiv.org/abs/1206.3284

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