2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66328We 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 pagesAlgebraic GeometryCommutative AlgebraProbability14Q15 (Primary), 68W30, 13P10, 60-02, 60-04 (Secondary)Algebraic Geometry of Bayesian Networkstext