Algebraic geometry of Bayesian networks

• Autores: Bernd Sturmfels, Luis David Garcia, Michael Stillman
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 39, Nº 3, 2005, págs. 331-355
• Idioma: inglés
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• Resumen

  • 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.