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A New Method of Learning Bayesian Networks Structures from Incomplete Data

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3697))

Abstract

This paper describes a new data mining algorithm to learn Bayesian networks structures from incomplete data based on extended Evolutionary programming (EP) method and the Minimum Description Length (MDL) principle. This problem is characterized by a huge solution space with a highly multimodal landscape. The algorithm presents fitness function based on expectation, which converts incomplete data to complete data utilizing current best structure of evolutionary process. The algorithm adopts a strategy to alleviate the undulate phenomenon. Aiming at preventing and overcoming premature convergence, the algorithm combines the niche technology into the selection mechanism of EP. In addition, our algorithm, like some previous work, does not need to have a complete variable ordering as input. The experimental results illustrate that our algorithm can learn a good structure from incomplete data.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .

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References

  1. Suzuki, J.: A construction of Bayesian networks from databases based on a MDL scheme. In: Proc. of the 9th Confon Uncertainty in Artificial Intelligence, pp. 266–273. Morgan Kaufmann, San Mateo (1993)

    Google Scholar 

  2. Xiang, Y., Wong, S.K.M.: Learning conditional independence relations from a probabilistic model, Department of Computer Science, University of Regina, CA, Tech. Rep: CS-94-03 (1994)

    Google Scholar 

  3. Heckerman, D.: Learning Bayesian network: The combination of knowledge and statistic data. Machine Learning 20(2), 197–243 (1995)

    MATH  Google Scholar 

  4. Cheng, J., Greiner, R., Kelly, J.: Learning Bayesian networks from data: An efficient algorithm based on information theory. Artificial Intelligence 137(1-2), 43–90 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  5. Lam, W., Bacchus, F.: Learning Bayesian belief networks: An algorithm based on the MDL principle. Computational Intelligence, 10(4) (1994)

    Google Scholar 

  6. Larranaga, P., Poza, M., Yurramendi, Y., Murga, R., Kuijpers, C.: Structure Learning of Bayesian Network by Genetic Algorithms: A Performance Analysis of Control Parameters. IEEE Trans. Pattern Analysis and Machine Intelligence

    Google Scholar 

  7. Friedman, N.: The Bayesian Structural EM Algorithm. In: Proceedings of the Fourteenth Conference on Uncertainty in Artificial Intelligence. Morgan Kaufmann Publishers, Madison (1998a)

    Google Scholar 

  8. Mahfound, S.W.: Crowding and Preselection Revisited. Parallel Problem Solving from Nature II, 27–36 (1992)

    Google Scholar 

  9. Lam, W., Bacchus, F.: Learning Bayesian belief networks: an algorithm based on the MDL principle. Computational Intelligence 10(4), 269–293 (1994)

    Article  Google Scholar 

  10. Friedman, N.: Learning Belief Networks in the Presence of Missing Values and Hidden Variables. In: Fourteenth International Conference on Machine Learning (ICML 1997), Vanderbilt University. Morgan Kaufmann Publishers, San Francisco (1998b)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Li, X., He, X., Yuan, S. (2005). A New Method of Learning Bayesian Networks Structures from Incomplete Data. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_41

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  • DOI: https://doi.org/10.1007/11550907_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28755-1

  • Online ISBN: 978-3-540-28756-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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