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Ordering Variables for Weighted Model Integration
Dept. of Computer Science, KU Leuven, Leuven, Belgium; Leuven.AI - KU Leuven Institute for AI, Leuven, Belgium.
Dept. of Computer Science, KU Leuven, Leuven, Belgium.
Dept. of Computer Science, KU Leuven, Leuven, Belgium; Leuven.AI - KU Leuven Institute for AI, Leuven, Belgium.
Dept. of Computer Science, KU Leuven, Leuven, Belgium; Leuven.AI - KU Leuven Institute for AI, Leuven, Belgium.
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2020 (English)In: Proceedings of the Thirty-Sixth Conference on Uncertainty in Artificial Intelligence (UAI), AUAI Press , 2020, Vol. 124, p. 879-888Conference paper, Published paper (Refereed)
Abstract [en]

State-of-the-art probabilistic inference algorithms, such as variable elimination and search-based approaches, rely heavily on the order in which variables are marginalized. Finding the optimal ordering is an NPcomplete problem. This computational hardness has led to heuristics to find adequate variable orderings. However, these heuristics have mostly been targeting discrete random variables. We show how variable ordering heuristics from the discrete domain can be ported to the discrete-continuous domain. We equip the state-of-the-art F-XSDD(BR) solver for discrete-continuous problems with such heuristics. Additionally, we propose a novel heuristic called bottom-up min-fill (BU-MiF), yielding a solver capable of determining good variable orderings without having to rely on the user to provide such an ordering. We empirically demonstrate its performance on a set of benchmark problems.

Place, publisher, year, edition, pages
AUAI Press , 2020. Vol. 124, p. 879-888
Series
Proceedings of Machine Learning Research, ISSN 2640-3498 ; 124
National Category
Computer and Information Sciences Computational Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-89036ISI: 000723388600089Scopus ID: 2-s2.0-85101661158OAI: oai:DiVA.org:oru-89036DiVA, id: diva2:1523654
Conference
Thirty-Sixth Conference on Uncertainty in Artificial Intelligence (UAI 2020), (virtual online), August 3-6, 2020
Funder
Wallenberg AI, Autonomous Systems and Software Program (WASP)EU, European Research Council, 694980
Note

Funding agencies:

Special Research Fund of the KU Leuven

Flemish Government (AI Research Program)

Available from: 2021-01-28 Created: 2021-01-28 Last updated: 2022-01-07Bibliographically approved

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De Raedt, Luc

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Citation style
  • apa
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