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This research proposes a genetic algorithm to fuse multiple Bayesian Networks into a single consensus model while strictly limiting treewidth to ensure computational tractability. By reconciling diverse input structures, the method offers a practical solution for aggregating information from heterogeneous sources without sacrificing inference efficiency. The approach advances evolutionary computing techniques specifically tailored for scalable probabilistic graphical models in machine learning workflows.
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Structural Fusion of Bayesian Networks with Limited Treewidth Using Genetic Algorithms

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arXiv:2609.10276v1 Announce Type: cross Abstract: This paper introduces an evolutionary computation approach for consensus in structural Bayesian Network (BN) fusion under the constraint of limited treewidth. The consensus BN aims to reconcile multiple input BNs into a single one that retains key structural features present in the original networks. Treewidth, a graph-based parameter associated with computationally tractable inference, is utilized to restrict the complexity of the resulting network. A genetic algorithm is proposed to look for a BN that codifies as much information about the unrestricted fusion as possible while ensuring the treewidth restriction. Experimental evaluation demonstrates the genetic algorithm's ability to obtain consensus BNs with limited treewidth, providing a valuable tool for aggregating information from diverse sources while returning a computationally actionable model.

Abstract:This paper introduces an evolutionary computation approach for consensus in structural Bayesian Network (BN) fusion under the constraint of limited treewidth. The consensus BN aims to reconcile multiple input BNs into a single one that retains key structural features present in the original networks. Treewidth, a graph-based parameter associated with computationally tractable inference, is utilized to restrict the complexity of the resulting network. A genetic algorithm is proposed to look for a BN that codifies as much information about the unrestricted fusion as possible while ensuring the treewidth restriction. Experimental evaluation demonstrates the genetic algorithm's ability to obtain consensus BNs with limited treewidth, providing a valuable tool for aggregating information from diverse sources while returning a computationally actionable model.

8 pages. Presented at the 2024 IEEE Congress on Evolutionary Computation (CEC 2024)

Neural and Evolutionary Computing (cs.NE); Machine Learning (cs.LG)

arXiv:2609.10276 [cs.NE]

(or arXiv:2609.10276v1 [cs.NE] for this version)

https://doi.org/10.48550/arXiv.2609.10276 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

2024 IEEE Congress on Evolutionary Computation (CEC), pp. 1-8, 2024

https://doi.org/10.1109/CEC60901.2024.10611976 Focus to learn more DOI(s) linking to related resources

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