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Estimation of Conditional Probabilities in Probabilistic Programming Languages
Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium.
Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium.
Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium.
Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium.ORCID iD: 0000-0002-6860-6303
2013 (English)In: Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 12th European Conference, ECSQARU 2013, Utrecht, The Netherlands, July 8-10, 2013. Proceedings / [ed] van der Gaag, Linda C., Springer, 2013, Vol. 7958, p. 436-448Conference paper, Published paper (Refereed)
Abstract [en]

Probabilistic logic programming languages are powerful formalisms that can model complex problems where it is necessary to represent both structure and uncertainty. Using exact inference methods to compute conditional probabilities in these languages is often intractable so approximate inference techniques are necessary. This paper proposes a Markov Chain Monte Carlo algorithm for estimating conditional probabilities based on sampling from an AND/OR tree for ProbLog, a general-purpose probabilistic logic programming language. We propose a parameterizable proposal distribution that generates the next sample in the Markov chain by probabilistically traversing the AND/OR tree from its root, which holds the evidence, to the leaves. An empirical evaluation on several different applications illustrates the advantages of our algorithm.

Place, publisher, year, edition, pages
Springer, 2013. Vol. 7958, p. 436-448
Series
Lecture Notes in Computer Science, ISSN 0302-9743, E-ISSN 1611-3349 ; 7958
Keywords [en]
Markov Chain Monte Carlo, Solution Tree, Markov Chain Monte Carlo Algorithm, Empty Clause, Markov Chain Monte Carlo Approach
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:oru:diva-94452DOI: 10.1007/978-3-642-39091-3_37Scopus ID: 2-s2.0-84880740981ISBN: 9783642390906 (print)ISBN: 9783642390913 (electronic)OAI: oai:DiVA.org:oru-94452DiVA, id: diva2:1595523
Conference
12th European Conference (ECSQARU 2013), Utrecht, The Netherlands, July 8-10, 2013
Available from: 2021-09-20 Created: 2021-09-20 Last updated: 2021-09-20Bibliographically approved

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De Raedt, Luc

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CiteExportLink to record
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  • apa
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