Work

Algebraic Model Counting

Year: 2012

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1211.4475

Authors: Kimmig, Angelika, Broeck, Guy Van den, De Raedt, Luc

Institutions: KU Leuven, University of California, Los Angeles

Language: English

Topic: Bayesian Modeling and Causal Inference

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Fonds Wetenschappelijk Onderzoek, Vlaamse regering

OpenAlex ID: W2953322147

Cites: 16

Cited by: 5

Related to: 20