Inproceedings,

A dynamic approach to MPE and weighted MAX-SAT

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IJCAI'07: Proceedings of the 20th international joint conference on Artifical intelligence, page 173--179. San Francisco, CA, USA, Morgan Kaufmann Publishers Inc., (2007)

Abstract

The problem of Most Probable Explanation (MPE) arises in the scenario of probabilistic inference: finding an assignment to all variables that has the maximum likelihood given some evidence. We consider the more general CNF-based MPE problem, where each literal in a CNF-formula is associated with a weight. We describe reductions between MPE and weighted MAX-SAT, and show that both can be solved by a variant of weighted model counting. The MPE-SAT algorithm is quite competitive with the state-of-the-art MAX-SAT, WCSP, and MPE solvers on a variety of problems.

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