2016/10/18 by Giso H. Dal, Dal, Giso H., Peter Lucas +2
Computer Science · Decision Sciences · #Advanced Database Systems and Queries #Artificial Intelligence (cs.AI) #Bayesian Modeling and Causal Inference #Data Quality and Management #FOS: Computer and information sciences #Logic in Computer Science (cs.LO) #Logic, Reasoning, and Knowledge #Machine Learning and Algorithms #cs.AI #cs.LO
paper · pdf · doi:10.48550/arxiv.1610.05551
30 pages
arxiv created 2016/10/18 · openalex publication_date 2016/10/18 · arxiv updated 2016/10/19 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
Recent work on weighted model counting has been very successfully applied to the problem of probabilistic inference in Bayesian networks. The probability distribution is encoded into a Boolean normal form and compiled to a target language, in order to represent local structure expressed among conditional probabilities more efficiently. We show that further improvements are possible, by exploiting the knowledge that is lost during the encoding phase and incorporating it into a compiler inspired by Satisfiability Modulo Theories. Constraints among variables are used as a background theory, which allows us to optimize the Shannon decomposition. We propose a new language, called Weighted Positive Binary Decision Diagrams, that reduces the cost of probabilistic inference by using this decomposition variant to induce an arithmetic circuit of reduced size.