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A Review of Bayesian Networks and Structure Learning

Timo J.T. KoskiJohn Noble — 2012

Mathematica Applicanda

This article reviews the topic of Bayesian networks. A Bayesian network  is a factorisation of a probability distribution along a directed acyclic graph. The relation between graphical d-separation and independence is described. A short article by Arthur Cayley (1853) [7] is discussed, which laid ideas later used in Bayesian networks: factorisation, the noisy `or' gate, applications of algebraic geometry to Bayesian networks. The ideas behind Pearl's intervention calculus when the DAG represents...

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