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Algebraic Geometry of Bayesian Networks

Luis David Garcia·Michael Stillman·Bernd Sturmfels
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Abstract

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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Luis David Garcia, Michael Stillman, Bernd Sturmfels. 2003-01-22. Algebraic Geometry of Bayesian Networks. https://arxiv.org/abs/math/0301255

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