Algebraic Geometry of Bayesian Networks
classification
🧮 math.AG
math.ACmath.PR
keywords
algebraicbayesiannetworksgeometryvariablesvarietiesclassificationcomplete
read the original 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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