Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees

In this paper we introduce a new dynamic importance sampling propagation algorithm for Bayesian networks. Importance sampling is based on using an auxiliary sampling distribution from which a set of con gurations of the variables in the network is drawn, and the performance of the algorithm depends...

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Main Authors: Moral, Serafín, Salmerón Cerdán, Antonio
Format: info:eu-repo/semantics/article
Language:English
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10835/4893
https://doi.org/10.1016/j.ijar.2004.05.005
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author Moral, Serafín
Salmerón Cerdán, Antonio
author_facet Moral, Serafín
Salmerón Cerdán, Antonio
author_sort Moral, Serafín
collection DSpace
description In this paper we introduce a new dynamic importance sampling propagation algorithm for Bayesian networks. Importance sampling is based on using an auxiliary sampling distribution from which a set of con gurations of the variables in the network is drawn, and the performance of the algorithm depends on the variance of the weights associated with the simulated con gurations. The basic idea of dynamic importance sampling is to use the simulation of a con guration to modify the sampling distribution in order to improve its quality and so reducing the variance of the future weights. The paper shows that this can be achieved with a low computational effort. The experiments carried out show that the nal results can be very good even in the case that the initial sampling distribution is far away from the optimum.
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spelling oai:repositorio.ual.es:10835-48932023-04-12T19:39:37Z Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees Moral, Serafín Salmerón Cerdán, Antonio Bayesian networks Probability propagation Approximate algorithms Importance sampling Probability trees In this paper we introduce a new dynamic importance sampling propagation algorithm for Bayesian networks. Importance sampling is based on using an auxiliary sampling distribution from which a set of con gurations of the variables in the network is drawn, and the performance of the algorithm depends on the variance of the weights associated with the simulated con gurations. The basic idea of dynamic importance sampling is to use the simulation of a con guration to modify the sampling distribution in order to improve its quality and so reducing the variance of the future weights. The paper shows that this can be achieved with a low computational effort. The experiments carried out show that the nal results can be very good even in the case that the initial sampling distribution is far away from the optimum. 2017-07-07T07:17:11Z 2017-07-07T07:17:11Z 2005 info:eu-repo/semantics/article http://hdl.handle.net/10835/4893 https://doi.org/10.1016/j.ijar.2004.05.005 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess
spellingShingle Bayesian networks
Probability propagation
Approximate algorithms
Importance sampling
Probability trees
Moral, Serafín
Salmerón Cerdán, Antonio
Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees
title Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees
title_full Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees
title_fullStr Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees
title_full_unstemmed Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees
title_short Dynamic Importance Sampling in Bayesian Networks Based on Probability Trees
title_sort dynamic importance sampling in bayesian networks based on probability trees
topic Bayesian networks
Probability propagation
Approximate algorithms
Importance sampling
Probability trees
url http://hdl.handle.net/10835/4893
https://doi.org/10.1016/j.ijar.2004.05.005
work_keys_str_mv AT moralserafin dynamicimportancesamplinginbayesiannetworksbasedonprobabilitytrees
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