Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks

We present an efficient procedure for factorising probabilistic potentials represented as probability trees. This new procedure is able to detect some regularities that cannot be captured by existing methods. In cases where an exact decomposition is not achievable, we propose a heuristic way to c...

Full description

Bibliographic Details
Main Authors: Cano, Andrés, Gómez Olmedo, Manuel, Pérez-Ariza, Cora B., Salmerón Cerdán, Antonio
Format: info:eu-repo/semantics/article
Language:English
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10835/4885
https://doi.org/10.1142/S0218488512500110
_version_ 1789406387299680256
author Cano, Andrés
Gómez Olmedo, Manuel
Pérez-Ariza, Cora B.
Salmerón Cerdán, Antonio
author_facet Cano, Andrés
Gómez Olmedo, Manuel
Pérez-Ariza, Cora B.
Salmerón Cerdán, Antonio
author_sort Cano, Andrés
collection DSpace
description We present an efficient procedure for factorising probabilistic potentials represented as probability trees. This new procedure is able to detect some regularities that cannot be captured by existing methods. In cases where an exact decomposition is not achievable, we propose a heuristic way to carry out approximate factorisations guided by a parameter called factorisation degree, which is fast to compute. We show how this parameter can be used to control the tradeoff between complexity and accuracy in approximate inference algorithms for Bayesian networks.
format info:eu-repo/semantics/article
id oai:repositorio.ual.es:10835-4885
institution Universidad de Cuenca
language English
publishDate 2017
record_format dspace
spelling oai:repositorio.ual.es:10835-48852023-04-12T19:37:05Z Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks Cano, Andrés Gómez Olmedo, Manuel Pérez-Ariza, Cora B. Salmerón Cerdán, Antonio Bayesian netwoorks Probability trees Factorisation Probabilistic inference We present an efficient procedure for factorising probabilistic potentials represented as probability trees. This new procedure is able to detect some regularities that cannot be captured by existing methods. In cases where an exact decomposition is not achievable, we propose a heuristic way to carry out approximate factorisations guided by a parameter called factorisation degree, which is fast to compute. We show how this parameter can be used to control the tradeoff between complexity and accuracy in approximate inference algorithms for Bayesian networks. 2017-07-05T08:37:24Z 2017-07-05T08:37:24Z 2012 info:eu-repo/semantics/article http://hdl.handle.net/10835/4885 https://doi.org/10.1142/S0218488512500110 en http://www.worldscientific.com/doi/pdf/10.1142/S0218488512500110 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Preprint of an article submitted for consideration in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems © 2012 [copyright World Scientific Publishing Company] http://www.worldscientific.com/worldscinet/ijufks
spellingShingle Bayesian netwoorks
Probability trees
Factorisation
Probabilistic inference
Cano, Andrés
Gómez Olmedo, Manuel
Pérez-Ariza, Cora B.
Salmerón Cerdán, Antonio
Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks
title Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks
title_full Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks
title_fullStr Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks
title_full_unstemmed Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks
title_short Fast factorisation of probabilistic potentials and its application to approximate inference in Bayesian networks
title_sort fast factorisation of probabilistic potentials and its application to approximate inference in bayesian networks
topic Bayesian netwoorks
Probability trees
Factorisation
Probabilistic inference
url http://hdl.handle.net/10835/4885
https://doi.org/10.1142/S0218488512500110
work_keys_str_mv AT canoandres fastfactorisationofprobabilisticpotentialsanditsapplicationtoapproximateinferenceinbayesiannetworks
AT gomezolmedomanuel fastfactorisationofprobabilisticpotentialsanditsapplicationtoapproximateinferenceinbayesiannetworks
AT perezarizacorab fastfactorisationofprobabilisticpotentialsanditsapplicationtoapproximateinferenceinbayesiannetworks
AT salmeroncerdanantonio fastfactorisationofprobabilisticpotentialsanditsapplicationtoapproximateinferenceinbayesiannetworks