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A Hybrid Approach for Learning Markov Equivalence Classes of Bayesian Network

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Knowledge Science, Engineering and Management (KSEM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4798))

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Abstract

Bayesian Networks is a popular tool for representing uncertainty knowledge in artificial intelligence fields. Learning BNs from data is helpful to understand the casual relation between the variable. But Learning BNs is a NP hard problem. This paper presents a novel hybrid algorithm for learning Markov Equivalence Classes, which combining dependency analysis and search-scoring approach together. The algorithm uses the constraint to perform a mapping from skeleton to MEC. Experiments show that the search space was constrained efficiently and the computational performance was improved.

Supported by NSFC Major Research Program 60496321, National Natural Science Foundation of China under Grant Nos. 60373098, 60573073, 60603030, 60503016 the National High-Tech Research and Development Plan of China under Grant No. 20060110Z2037, the Major Program of Science and Technology Development Plan of Jilin Province under Grant No. 20020303, the Science and Technology Development Plan of Jilin Province under Grant No. 20030523, European Commission under Grant No. TH/Asia Link/010 (111084).

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References

  1. Chickering, D.M., Heckerman, D., Meek, C.: Large-sample learning of Bayesian networks is NP-hard. Journal of Machine Learning Research 5, 1287–1330 (2004)

    MathSciNet  Google Scholar 

  2. Cheng, J., Greiner, R., Kelly, J., Bell, D., Liu, W.R.: Learning Bayesian networks from data: An information-theory based approach. Artificial Intelligence 137, 43–90 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  3. Thomas, V., Judea, P.: Equivalence and synthesis of causal models. In: Proceedings of the Sixth Annual Conference on Uncertainty in Artificial Intelligence, pp. 255–270. Elsevier Science Inc., Amsterdam (1991)

    Google Scholar 

  4. Verma, T., Pearl, J.: An algorithm for deciding if a set of observed independencies has a causal explanation. In: Dubois, D., Wellman, M.P., D’Ambrosio, B., Smets, P. (eds.) Uncertainty in Artificial Intelligence Proceedings of the Eighth Conference, pp. 323–330. Morgan Kaufman, San Francisco (1992)

    Google Scholar 

  5. Spirtes, P., Glymour, C., Scheines, R.: Causation, prediction, and search. Springer, Heidelberg (1993)

    MATH  Google Scholar 

  6. Dor, D., Tarsi, M.: A simple algorithm to construct a consistent extension of a partially oriented graph. Cognitive Systems Laboratory, UCLA, Computer Science Department (1992)

    Google Scholar 

  7. Chickering, D.M.: Learning Equivalence Classes of Bayesian-Network Structure. Journal of Machine Learning Research 2, 445–498 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  8. Barbosa, V.C., Szwarcfiter, J.L.: Generating all the acyclic orientations of an undirected graph. Information Processing Letters 72, 71–74 (1999)

    Article  MathSciNet  Google Scholar 

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Zili Zhang Jörg Siekmann

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© 2007 Springer-Verlag Berlin Heidelberg

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Jia, H., Liu, D., Chen, J., Liu, X. (2007). A Hybrid Approach for Learning Markov Equivalence Classes of Bayesian Network. In: Zhang, Z., Siekmann, J. (eds) Knowledge Science, Engineering and Management. KSEM 2007. Lecture Notes in Computer Science(), vol 4798. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76719-0_67

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  • DOI: https://doi.org/10.1007/978-3-540-76719-0_67

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76718-3

  • Online ISBN: 978-3-540-76719-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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