Algebraic Model Counting
Logic in Computer Science
2012-11-20 v1
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.
Cite
@article{arxiv.1211.4475,
title = {Algebraic Model Counting},
author = {Angelika Kimmig and Guy Van den Broeck and Luc De Raedt},
journal= {arXiv preprint arXiv:1211.4475},
year = {2012}
}