Learning bayesian networks structure with continuous variables

Authors:
Shuang-Cheng Wang;Xiao-Lin Li;Hai-Yan Tang
Affiliations:
Department of Information Science, Shanghai Lixin University of Commerce, Shanghai, China;National Laboratory for Novel Software Technology, Nanjing University, Nanjing, China;China Lixin Risk Management Research Institute, Shanghai Lixin University of Commerce, Shanghai, China
Venue:
ADMA'06 Proceedings of the Second international conference on Advanced Data Mining and Applications
Year:
2006

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Abstract

In this paper, a new method for learning Bayesian networks structure with continuous variables is proposed. The continuous variables are discretized based on hybrid data clustering. The discrete values of a continuous variable are obtained by using father node structure and Gibbs sampling. Optimal dimension of discretized continuous variable is found by MDL principle to the Markov blanket. Dependent relationship is refined by optimization regulation to Bayesian network structure in iteration learning.