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Algorithm for Graphical Bayesian Modeling Based on Multiple Regressions

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Book cover MICAI 2007: Advances in Artificial Intelligence (MICAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4827))

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Abstract

One of the main factors for the knowledge discovery success is related to the comprehensibility of the patterns discovered by applying data mining techniques. Amongst which we can point out the Bayesian networks as one of the most prominent when considering the easiness of knowledge interpretation achieved. Bayesian networks, however, present limitations and disadvantages regarding their use and applicability. This paper presents an extension for the improvement of Bayesian networks, incorporating models of multiple regression for structure learning.

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References

  1. Huang, H., Song, H., Tian, F., Lu, Y., e Wang, Q.: A comparatively research in incremental learning of Bayesian networks. Intelligent Control and Automation. Fifth World Congress on 5, 4260–4264 (2004)

    Article  Google Scholar 

  2. Morales, M.M., Dominguez, R.G., Ramirez, N.C., Hernandez, A.G., e Andrade, J.L.J.: A method based on genetic algorithms and fuzzy logic to induce Bayesian networks, Computer Science, 2004. In: ENC 2004. Proceedings of the Fifth Mexican International Conference, pp. 176–180 (2004)

    Google Scholar 

  3. Larrañaga, P.: Structure Learning of Bayesian Networks by Genetic Algorithms: A Performance Analysis of Control Parameters. IEEE Journal on Pattern Analysis and Machine Intelligence 18(9), 912–926 (1996)

    Article  Google Scholar 

  4. Rissanen, J.: Modeling by shortest data description. Automatica 14, 465–471 (1978)

    Article  MATH  Google Scholar 

  5. Akaike, H.: A new look at the statistical model identification. IEEE Transactions on Automatic Control 19(6), 716–723 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  6. Morales, M.M., Ramírez, N.C., Andrade, J.L.J., e Domínguez, R.G.: Bayes-N: an algorithm for learning Bayesian networks from data using local measures of information gain applied to classification problems. In: Monroy, R., Arroyo-Figueroa, G., Sucar, L.E., Sossa, H. (eds.) MICAI 2004. LNCS (LNAI), vol. 2972, Springer, Heidelberg (2004)

    Google Scholar 

  7. Ramírez, N.C.: Building Bayesian networks from data: a constraint based approach, PhD Thesis, University of Sheffield (2001)

    Google Scholar 

  8. Spirtes, P.R., Shcheines, R., e Clark, G.: TETRAD II: Tools for Discovery. Lawrence Erlbaum Associates, Hillsdale, NJ., USA (1994)

    Google Scholar 

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

    MATH  Google Scholar 

  10. Shetty, S., Song, M.: Structure learning of Bayesian networks using a semantic genetic algorithm-based approach. In: ITRE 2005. 3rd International Conference on Information Technology: Research and Education, pp. 454–458 (2005)

    Google Scholar 

  11. Li, G., Tong, F., Dai, H.: Evolutionary structure learning algorithm for Bayesian network and Penalized Mutual Information metric, Data Mining. In: ICDM 2001. Proceedings IEEE International Conference, pp. 615–616 (2001)

    Google Scholar 

  12. Li, X.-L., Yuan, S.-M., He, X.-D.: Learning Bayesian networks structures based on extending evolutionary programming, In: Machine Learning and Cybernetics. Proceedings of 2004 International Conference, vol. 3, pp. 1594–1598 (2004)

    Google Scholar 

  13. Gamez, J.A., de Campos, L.M., Moral, S.: Partial abductive inference in Bayesian belief networks - an evolutionary computation approach by using problem-specific genetic operators. Evolutionary Computation, IEEE Transactions 6(2), 105–131 (2002)

    Article  Google Scholar 

  14. Handa, H., Katai, O.: Estimation of Bayesian network algorithm with GA searching for better network structure. In: Neural Networks and Signal Processing. Proceedings of the 2003 International Conference, vol. 1, pp. 436–439 (2003)

    Google Scholar 

  15. Peng, H., Ding, C.: Structure search and stability enhancement of Bayesian networks, Data Mining. In: ICDM 2003. Third IEEE International Conference, pp. 621–624. IEEE Computer Society Press, Los Alamitos (2003)

    Google Scholar 

  16. 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 

  17. Cheng, J., Bell, D., e Liu, W.: Learning Bayesian Networks from Data: An Efficient Approach Based on Information Theory. Artificial Intelligence. 137(1-2), 43–90 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  18. Robinson, R.W.: Counting unlabeled acyclic digraphs. In: Proceedings of the Fifth Australian Conference on Combinatorial Mathematics, pp. 28–43 (1976)

    Google Scholar 

  19. Herskovits, E.: Computer-Based Probabilistic Networks Construction, Ph.D. Thesis, Medical Information Sciences, University of Pittsburgh (1991)

    Google Scholar 

  20. Hair, J.F.J., Anderson, R.E., Tatham, R.L., e Black, W.C.: Multivariate data analysis. Prentice-Hall, Englewood Cliffs (1998)

    Google Scholar 

  21. Rice, J.A.: Mathematical Statistics and Data Analysis, 2nd edn. Duxbury Press, Boston, MA (1995)

    MATH  Google Scholar 

  22. Santana, A.C.: Quantitative Methods in Econometry, UFRA (2003)

    Google Scholar 

  23. Lauritzen, S.L., e Spiegelhalter, D.J.: Local computations with probabilities on graphical structures and their application to expert systems. Royal Statistics Society B50(2), 157–194 (1988)

    Google Scholar 

  24. Yang, S., e Chang, K.: Comparison of Score Metrics for Bayesian Network Learning. IEEE Transactions on Systems, Man, and Cybernetics Part A32, 419–428 (2002)

    Article  Google Scholar 

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Alexander Gelbukh Ángel Fernando Kuri Morales

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© 2007 Springer-Verlag Berlin Heidelberg

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de Santana, Á.L., Francês, C.R.L., Costa, J.C.W. (2007). Algorithm for Graphical Bayesian Modeling Based on Multiple Regressions. In: Gelbukh, A., Kuri Morales, Á.F. (eds) MICAI 2007: Advances in Artificial Intelligence. MICAI 2007. Lecture Notes in Computer Science(), vol 4827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76631-5_47

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  • DOI: https://doi.org/10.1007/978-3-540-76631-5_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76630-8

  • Online ISBN: 978-3-540-76631-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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