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The Max-Relevance and Min-Redundancy Greedy Bayesian Network Learning Algorithm

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Bio-inspired Modeling of Cognitive Tasks (IWINAC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4527))

Abstract

Existing algorithms for learning Bayesian network require a lot of computation on high dimensional itemsets which affects reliability, robustness and accuracy of these algorithms and takes up a large amount of time. To address the above problem, we propose a new Bayesian network learning algorithm MRMRG, Max Relevance-Min Redundancy Greedy. MRMRG algorithm is a variant of K2 which is a well-known BN learning algorithm. We also analyze the time complexity of MRMRG. The experimental results show that MRMRG algorithm has much better efficiency. It is also shown that MRMRG algorithm has better accuracy than most of existing learning algorithms for limited sample datasets.

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References

  1. Heckerman, D.: Bayesian Networks for Data Mining. Microsoft Press, Redmond (1997)

    Google Scholar 

  2. Spirtes, P., Glymour, C., Scheines, R.: Causation, Prediction and Search. MIT Press, Cambridge (2000)

    Google Scholar 

  3. Cheng, J., Greiner, R., Kelly, J., Bell, D., Liu, W.: Learning Belief Networks form Data: An Information Theory Based Approach. Artificial Intelligence 137(1-2), 43–90 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Cooper, G., Herskovits, E.: A Bayesian Method for the Induction of Probabilistic Networks from Data. Machine Learning 9(4), 309–347 (1992)

    MATH  Google Scholar 

  5. Heckerman, D., Geiger, D., Chickering, D.M.: Learning Bayesian Networks: the Combination of Knowledge and Statistical Data. Machine Learning 20(3), 197–243 (1995)

    MATH  Google Scholar 

  6. Suzuki, J.: Learning Bayesian Belief Networks Based on the MDL Principle: An Efficient Algorithm Using the Branch and Bound Technique. In: Proceedings of the Thirteenth International Conference on Machine Learning ICML’1996, pp. 462–470. Morgan Kaufmann, San Francisco (1996)

    Google Scholar 

  7. Pearl, J.: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Francisco (1998)

    Google Scholar 

  8. Lam, W., Bacchus, F.: Learning Bayesian Belief Networks An approach based on the MDL Principle. Computational Intelligence 10(4), 269–293 (1994)

    Article  Google Scholar 

  9. Peng, H.C., Long, F., Ding, C.: Feature Selection Based on Mutual Information: Criteria of Max-Dependency, Max-Relevance,and Min-Redundancy. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(8), 1226–1238 (2005)

    Article  Google Scholar 

  10. Moore, D.S.: Goodness-of-Fit Techniques. Marcel Dekker, New York (1986)

    MATH  Google Scholar 

  11. Kass, R.E., Raftery, A.E.: Bayes factors. Journal of the American Statistical Association 90(430), 773–796 (1995)

    Article  MATH  Google Scholar 

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José Mira José R. Álvarez

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© 2007 Springer Berlin Heidelberg

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Liu, F., Zhu, Q. (2007). The Max-Relevance and Min-Redundancy Greedy Bayesian Network Learning Algorithm. In: Mira, J., Álvarez, J.R. (eds) Bio-inspired Modeling of Cognitive Tasks. IWINAC 2007. Lecture Notes in Computer Science, vol 4527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73053-8_35

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  • DOI: https://doi.org/10.1007/978-3-540-73053-8_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73052-1

  • Online ISBN: 978-3-540-73053-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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