Given a Bayesian network (BN) relative to a set I of discrete random variables, we are interested in computing the probability distribution PS, where the target S is a subset of I. The general idea is to express PS in the form of a product of factors whereby each factor is easily computed and can be interpreted in terms of conditional probabilities. In this paper, a condition statingwhen PS can be written as a product of conditional probability distributions is called a non-pathology condition. This paper also considers an interpretation of the factors involved in computing marginal probabilities in BNs and a representation of the probability target as a Bayesian network of level two. Establishing such a factorization and interpretations is indeed interesting and relevant in the case of large BNs.
CITATION STYLE
Smail, L., & Azouz, Z. (2017). Factorization of computations in Bayesian networks: Interpretation of factors. In Springer Proceedings in Mathematics and Statistics (Vol. 190, pp. 207–226). Springer New York LLC. https://doi.org/10.1007/978-3-319-46310-0_13
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