Algebraic Geometry of Bayesian Networks

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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.
30 pages

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Algebraic Geometry, Commutative Algebra, Probability, 14Q15 (Primary), 68W30, 13P10, 60-02, 60-04 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66328

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301255
 http://arxiv.org/abs/math/0301255

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arXiv