A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering

A good method of combining Bayesian networks (BNs) should be a generic one that ensures a combined BN meets three important criteria of avoiding cycles, preserving conditional independencies, and preserving the characteristics of individual BN parameters. All combination methods assumed that there i...

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Main Authors: Vahid Rezaei Tabar, Fatemeh Elahi
Format: Article
Language:English
Published: Taylor & Francis Group 2018-04-01
Series:Applied Artificial Intelligence
Online Access:http://dx.doi.org/10.1080/08839514.2018.1451134
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author Vahid Rezaei Tabar
Fatemeh Elahi
author_facet Vahid Rezaei Tabar
Fatemeh Elahi
author_sort Vahid Rezaei Tabar
collection DOAJ
description A good method of combining Bayesian networks (BNs) should be a generic one that ensures a combined BN meets three important criteria of avoiding cycles, preserving conditional independencies, and preserving the characteristics of individual BN parameters. All combination methods assumed that there is an ancestral ordering shared by individual BNs. If this assumption is violated, then avoiding cycles may be inefficient. In this paper, without considering an ancestral ordering, we introduce a novel method for aggregation of BNs. For this purpose, we first combine the BNs using the modification of the method introduced by Feng et al. We then use the simulated annealing algorithm for getting an acyclic graph in which the minimum arcs have been removed. Using this method, most of the conditional independencies are preserved. We compare the results of the proposed method with the two classical BNs combination methods; union and intersection, and hence to demonstrate the distinctive advantages of the proposed BNs combination method.
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spelling doaj.art-c23cc9ade2e241bbab52b262808bea6b2023-09-15T09:33:56ZengTaylor & Francis GroupApplied Artificial Intelligence0883-95141087-65452018-04-0132221422710.1080/08839514.2018.14511341451134A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral OrderingVahid Rezaei Tabar0Fatemeh Elahi1Allameh Tabataba’i UniversityKharazmi UniversityA good method of combining Bayesian networks (BNs) should be a generic one that ensures a combined BN meets three important criteria of avoiding cycles, preserving conditional independencies, and preserving the characteristics of individual BN parameters. All combination methods assumed that there is an ancestral ordering shared by individual BNs. If this assumption is violated, then avoiding cycles may be inefficient. In this paper, without considering an ancestral ordering, we introduce a novel method for aggregation of BNs. For this purpose, we first combine the BNs using the modification of the method introduced by Feng et al. We then use the simulated annealing algorithm for getting an acyclic graph in which the minimum arcs have been removed. Using this method, most of the conditional independencies are preserved. We compare the results of the proposed method with the two classical BNs combination methods; union and intersection, and hence to demonstrate the distinctive advantages of the proposed BNs combination method.http://dx.doi.org/10.1080/08839514.2018.1451134
spellingShingle Vahid Rezaei Tabar
Fatemeh Elahi
A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering
Applied Artificial Intelligence
title A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering
title_full A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering
title_fullStr A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering
title_full_unstemmed A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering
title_short A Novel Method for Aggregation of Bayesian Networks without Considering an Ancestral Ordering
title_sort novel method for aggregation of bayesian networks without considering an ancestral ordering
url http://dx.doi.org/10.1080/08839514.2018.1451134
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