An extension on learning Bayesian belief networks based on MDL principle

Bayesian belief network (BBN) is a framework for representation/inference of some knowledge with uncertainty. Since the process of constructing a BBN manually by experts is time-consuming in general, some method supporting the task is needed. We proposed an algorithm for acquiring some BBN automatically from finite examples based on minimum description length (MDL) principle. This paper addresses an improvement which relaxes a constraint that the original scheme held on the representation. In BBNs, attributes and stochastic dependencies between them are expressed as nodes and directed links connecting them, respectively, where each attribute may be a predicate, a numerical data, etc., and each dependence is numerically expressed as the conditional probability of one attribute given other attributes if their dependence exists. Therefore, in general, BBNs are represented in terms of the network structure and the conditional probabilities