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An Improved Bayesian Network Learning Algorithm Based on Dependency Analysis

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Computational Intelligence and Security (CIS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3801))

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Abstract

Generally speaking, dependency analysis based Bayesian network learning algorithms are of higher efficiency. J. Cheng’s algorithm is a representative of this kinds of algorithms, while its efficiency could be improved further. This paper presents an efficient Bayesian network learning algorithm, which is an improvement to J. Cheng’s algorithm that uses Mutual Information (MI) and Conditional Mutual Information (CMI) as Conditional Independence (CI) tests. Through redefining the equations for calculating MI and CMI, our algorithm could decrease a large number of basic operations such as logarithms, divisions etc. and reduce the times of access to datasets to the minimum. Moreover, to efficiently calculate CMI, an efficient method for finding an approximate minimum cut-set is proposed in our algorithm. Experimental results show that under the same accuracy, our algorithm is much more efficient than J. Cheng’s algorithm.

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References

  1. Acid, S., Campos, L.M.: An algorithm for finding minimum d-Separating sets in belief networks. In: Proceedings of the twelfth Conference of Uncertainty in Artificial Intelligence (1996)

    Google Scholar 

  2. Buntine, W.: A guide to the literature on learning probabilistic networks from data. IEEE Transactions on Knowledge and Data Engineering 8, 195–210 (1996)

    Article  Google Scholar 

  3. Cheng, J., Bell, D.A., Liu, W.: Learning belief networks from data: An information theory based approach. In: Proceeding of the sixth ACM International Conference on Information and Knowledge Management (1997)

    Google Scholar 

  4. Cheng, J., Greiner, R., Kelly, J., Bell, D.A., Liu, W.: Learning Bayesian Networks from Data: an Information-Theory Based Approach. The Artificial Intelligence Journal 137, 43–90 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  5. Dash, D., Druzdzel, M.J.: Robust Independence Testing for Constraint-Based Learning of Causal Structure. In: UAI 2003, pp. 167–174 (2003)

    Google Scholar 

  6. Friedman, N.: The Bayesian structural EM algorithm. In: Fourteenth Conf. on Uncertainty in Artificial Intelligence (1998)

    Google Scholar 

  7. Heckerman, D., Geiger, D., Chickering, D.: Learning Bayesian networks: The combination of knowledge and statistical data. Machine Learning 20, 197–243 (1995)

    MATH  Google Scholar 

  8. Lam, W., Bacchus, F.: Learning Bayesian belief networks: An approach based on the MDL principle. Computational Intelligence 10, 269–293 (1994)

    Article  Google Scholar 

  9. Madsen, A.L., Jensen, F.V.: Lazy propagation: a junction tree inference algorithm based on lazy evaluation. Artificial Intelligence 113, 203–245 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  10. Pearl, J.: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, Inc., San Mateo (1988)

    Google Scholar 

  11. Tian, F., Lu, Y., Shi, C.: Learning bayesian networks with hidden variables using the combination of em and evolutionary algorithm. In: Proceedings of the 5th Pacific-Asia Conference on Knowledge Discovery and Data Mining, pp. 568–574. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  12. Tian, F., Lu, Y., Shi, C.: Learning bayesian networks from incomplete data based on EMI method. In: Preceedings of ICDM 2003, Melbourne, Florida, USA, pp. 323–330 (2003)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Tian, F., Tian, S., Yu, J., Huang, H. (2005). An Improved Bayesian Network Learning Algorithm Based on Dependency Analysis. In: Hao, Y., et al. Computational Intelligence and Security. CIS 2005. Lecture Notes in Computer Science(), vol 3801. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11596448_5

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  • DOI: https://doi.org/10.1007/11596448_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30818-8

  • Online ISBN: 978-3-540-31599-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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