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Critical Remarks on the Maximal Prime Decomposition of Bayesian Networks

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2639))

Abstract

We present a critical analysis of the maximal prime decomposition of Bayesian networks (BNs). Our analysis suggests that it may be more useful to transform a BN into a hierarchical Markov network.

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References

  1. Olesen, K.G. and Madsen, A.L.: Maximal prime subgraph decomposition of Bayesian networks. IEEE Transactions on Systems, Man, and Cybernetics, B, 32(1):21–31, 2002.

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  2. Wong, S.K.M., Butz, C.J. and Wu, D.: On the implication problem for probabilistic conditional independency. IEEE Transactions on Systems, Man, and Cybernetics, A, 30(6): 785–805, 2000.

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  3. Wong, S.K.M., Butz, C.J. and Wu, D.: On undirected representations of Bayesian networks. ACM SIGIR Workshop on Mathematical/Formal Models in Information Retrieval, 52–59, 2001.

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© 2003 Springer-Verlag Berlin Heidelberg

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Butz, C.J., Hu, Q., Yang, X.D. (2003). Critical Remarks on the Maximal Prime Decomposition of Bayesian Networks. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2003. Lecture Notes in Computer Science(), vol 2639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39205-X_115

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  • DOI: https://doi.org/10.1007/3-540-39205-X_115

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-14040-5

  • Online ISBN: 978-3-540-39205-7

  • eBook Packages: Springer Book Archive

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