New strategies for finding multiplicative decompositions of probability trees

Probability trees are a powerful data structure for representing probabilistic potentials. However, their complexity can become intractable if they represent a probability distribution over a large set of variables. In this paper, we study the problem of decomposing a probability tree as a product o...

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Bibliographic Details
Main Authors: Martínez, Irene, Moral, Serafín, Rodríguez, Carmelo, Salmerón Cerdán, Antonio
Format: info:eu-repo/semantics/article
Language:English
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10835/4897
https://doi.org/10.1016/j.amc.2013.10.023
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Summary:Probability trees are a powerful data structure for representing probabilistic potentials. However, their complexity can become intractable if they represent a probability distribution over a large set of variables. In this paper, we study the problem of decomposing a probability tree as a product of smaller trees, with the aim of being able to handle bigger probabilistic potentials. We propose exact and approximate approaches and evaluate their behaviour through an extensive set of experiments.