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Zbl 1187.90086
Mart{\'\i}nez-Rodr{\'\i}guez, Ana M.; May, Jerrold H.; Vargas, Luis G.
An optimization-based approach for the design of Bayesian networks. (English)
[J] Math. Comput. Modelling 48, No. 7-8, 1265-1278 (2008). ISSN 0895-7177

Summary: Bayesian networks model conditional dependencies among the domain variables, and provide a way to deduce their interrelationships as well as a method for the classification of new instances. One of the most challenging problems in using Bayesian networks, in the absence of a domain expert who can dictate the model, is inducing the structure of the network from a large, multivariate data set. We propose a new methodology for the design of the structure of a Bayesian network based on concepts of graph theory and nonlinear integer optimization techniques.

MSC 2000:: *90B15 Flows in networks with stochastic elements
62H05 Multivariate structure theory
62K05 Optimal statistical designs

Keywords: Bayesian networks; optimal design

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