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A Dynamic Approach for MPE and Weighted MAX-SAT

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Proceedings of the Twentieth International Joint Conference on Artificial Intelligence. Pages 173-178.

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.

Tian Sang, Paul Beame, and Henry A. Kautz. 2007. A Dynamic Approach for MPE and Weighted MAX-SAT. In Proceedings of the Twentieth International Joint Conference on Artificial Intelligence, IJCAI-07. IJCAI, 173–178. https://ijcai.org/proceedings/2007/26
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