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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
Blake, C.L., Merz, C.J.: UCI repository of machine learning databases (1998), http://www.ics.uci.edu/~mlearn/mlrepository.html
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)
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)
Koop, G.: Analysis of Economic Data. John Wiley and Sons, Chichester (2000)
Mangasarian, O.L., Nick Street, W., Wolberg, W.H.: Breast cancer diagnosis and prognosis via linear programming. Technical Report MP-TR-1994-10 (1994)
Wellman, M.P.: Fundamental concepts of qualitative probabilistic networks. Artificial Intelligence 44, 257–303 (1990)
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)
Wright, F.T.: Estimating strictly increasing regression functions. Journal of the American Statistical Association 73(363), 636–639 (1978)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)