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arXiv · 1211.4475

Algebraic Model Counting

Angelika Kimmig·Guy Van den Broeck·Luc De Raedt
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Abstract

Weighted model counting (WMC) is a well-known inference task on knowledge bases, used for probabilistic inference in graphical models. We introduce algebraic model counting (AMC), a generalization of WMC to a semiring structure. We show that AMC generalizes many well-known tasks in a variety of domains such as probabilistic inference, soft constraints and network and database analysis. Furthermore, we investigate AMC from a knowledge compilation perspective and show that all AMC tasks can be evaluated using sd-DNNF circuits. We identify further characteristics of AMC instances that allow for the use of even more succinct circuits.

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Angelika Kimmig, Guy Van den Broeck, Luc De Raedt. 2012-11-19. Algebraic Model Counting. https://arxiv.org/abs/1211.4475

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