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Parameter Learning for Bayesian Networks with Strict Qualitative Influences

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Advances in Intelligent Data Analysis VII (IDA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4723))

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Abstract

We propose a new method for learning the parameters of a Bayesian network with qualitative influences. The proposed method aims to remove unwanted (context-specific) independencies that are created by the order-constrained maximum likelihood (OCML) estimator. This is achieved by averaging the OCML estimator with the fitted probabilities of a first-order logistic regression model. We show experimentally that the new learning algorithm does not perform worse than OCML, and resolves a large part of the independencies.

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References

  1. Altendorf, E.A., Restificar, A.C., Dietterich, T.G.: Learning from sparse data by exploiting monotonicity constraints. In: Bacchus, F., Jaakkola, T. (eds.) Proceedings of the 21st Conference on Uncertainty in Artificial Intelligence (UAI-2005), pp. 18–25. AUAI Press (2005)

    Google Scholar 

  2. Blake, C.L., Merz, C.J.: UCI repository of machine learning databases (1998), http://www.ics.uci.edu/~mlearn/mlrepository.html

  3. Feelders, A., Pardoel, M.: Pruning for monotone classification trees. In: Berthold, M.R., Lenz, H.-J., Bradley, E., Kruse, R., Borgelt, C. (eds.) IDA 2003. LNCS, vol. 2810, pp. 1–12. Springer, Heidelberg (2003)

    Google Scholar 

  4. Feelders, A., van der Gaag, L.: Learning Bayesian network parameters with prior knowledge about context-specific qualitative influences. In: Bacchus, F., Jaakkola, T. (eds.) Proceedings of the 21st Conference on Uncertainty in Artificial Intelligence (UAI-2005), pp. 193–200. AUAI Press (2005)

    Google Scholar 

  5. Koop, G.: Analysis of Economic Data. John Wiley and Sons, Chichester (2000)

    Google Scholar 

  6. Mangasarian, O.L., Nick Street, W., Wolberg, W.H.: Breast cancer diagnosis and prognosis via linear programming. Technical Report MP-TR-1994-10 (1994)

    Google Scholar 

  7. Wellman, M.P.: Fundamental concepts of qualitative probabilistic networks. Artificial Intelligence 44, 257–303 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  8. Wittig, F., Jameson, A.: Exploiting qualitative knowledge in the learning of conditional probabilities of Bayesian networks. In: Boutilier, C., Goldszmidt, M. (eds.) Proceedings of the Sixteenth Conference on Uncertainty in Artificial Intelligence, pp. 644–652. Morgan Kaufmann, San Francisco (2000)

    Google Scholar 

  9. Wright, F.T.: Estimating strictly increasing regression functions. Journal of the American Statistical Association 73(363), 636–639 (1978)

    Article  MATH  Google Scholar 

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Michael R. Berthold John Shawe-Taylor Nada Lavrač

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© 2007 Springer-Verlag Berlin Heidelberg

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Feelders, A., van Straalen, R. (2007). Parameter Learning for Bayesian Networks with Strict Qualitative Influences. In: R. Berthold, M., Shawe-Taylor, J., Lavrač, N. (eds) Advances in Intelligent Data Analysis VII. IDA 2007. Lecture Notes in Computer Science, vol 4723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74825-0_5

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  • DOI: https://doi.org/10.1007/978-3-540-74825-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74824-3

  • Online ISBN: 978-3-540-74825-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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