#### Title

Factorization of computations in Bayesian networks: Interpretation of factors

#### Document Type

Conference Proceeding

#### Source of Publication

Springer Proceedings in Mathematics and Statistics

#### Publication Date

1-1-2017

#### Abstract

© Springer International Publishing Switzerland 2017. 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.

#### DOI Link

#### ISBN

9783319463094

#### ISSN

#### Publisher

Springer New York LLC

#### Volume

190

#### First Page

207

#### Last Page

226

#### Disciplines

Mathematics

#### Keywords

Bayesian networks, Bayesian networks of level two, Inference, Pathological bayesian networks

#### Scopus ID

#### Recommended Citation

Smail, Linda and Azouz, Zineb, "Factorization of computations in Bayesian networks: Interpretation of factors" (2017). *All Works*. 1638.

https://zuscholars.zu.ac.ae/works/1638

#### Indexed in Scopus

yes

#### Open Access

no