SMT-based Weighted Model Integration with Structure Awareness

Autor: Spallitta, Giuseppe, Masina, Gabriele, Morettin, Paolo, Passerini, Andrea, Sebastiani, Roberto
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: Weighted Model Integration (WMI) is a popular formalism aimed at unifying approaches for probabilistic inference in hybrid domains, involving logical and algebraic constraints. Despite a considerable amount of recent work, allowing WMI algorithms to scale with the complexity of the hybrid problem is still a challenge. In this paper we highlight some substantial limitations of existing state-of-the-art solutions, and develop an algorithm that combines SMT-based enumeration, an efficient technique in formal verification, with an effective encoding of the problem structure. This allows our algorithm to avoid generating redundant models, resulting in substantial computational savings. An extensive experimental evaluation on both synthetic and real-world datasets confirms the advantage of the proposed solution over existing alternatives.
Comment: Accepted for the 38th Conference on Uncertainty in Artificial Intelligence (UAI 2022)
Databáze: arXiv