Algebraic Geometry of Bayesian Networks

Details Algebraic Geometry of Bayesian Networks Algebraic Geometry of Bayesian Networks

2003-01-22

arxiv.org/abs/math/0301255v1

Mathematics

Algebraic Geometry

30 pages

Scientific paper

We study the algebraic varieties defined by the conditional independence
statements of Bayesian Networks. A complete algebraic classification is given
for Bayesian Networks on at most five random variables. Hidden variables are
related to the geometry of higher secant varieties.

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