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A Decomposition Algorithm for Learning Bayesian Networks Based on Scoring Function

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  • Mingmin Zhu
  • Sanyang Liu

Abstract

Learning Bayesian network (BN) structure from data is a typical NP‐hard problem. But almost existing algorithms have the very high complexity when the number of variables is large. In order to solve this problem(s), we present an algorithm that integrates with a decomposition‐based approach and a scoring‐function‐based approach for learning BN structures. Firstly, the proposed algorithm decomposes the moral graph of BN into its maximal prime subgraphs. Then it orientates the local edges in each subgraph by the K2‐scoring greedy searching. The last step is combining directed subgraphs to obtain final BN structure. The theoretical and experimental results show that our algorithm can efficiently and accurately identify complex network structures from small data set.

Suggested Citation

  • Mingmin Zhu & Sanyang Liu, 2012. "A Decomposition Algorithm for Learning Bayesian Networks Based on Scoring Function," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:974063
    DOI: 10.1155/2012/974063
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    References listed on IDEAS

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    1. Geng, Zhi & Wang, Chi & Zhao, Qiang, 2005. "Decomposition of search for v-structures in DAGs," Journal of Multivariate Analysis, Elsevier, vol. 96(2), pages 282-294, October.
    2. Aquaro, V. & Bardoscia, M. & Bellotti, R. & Consiglio, A. & De Carlo, F. & Ferri, G., 2010. "A Bayesian Networks approach to Operational Risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1721-1728.
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