Title of article :
Algebraic geometry of Bayesian networks
Author/Authors :
Luis David Garcia، نويسنده , , Brandilyn Stigler and Michael Stillman، نويسنده , , Shmuel Onn and Bernd Sturmfels، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
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.
Keywords :
Bayesian networks , Independence models , Polynomial ideals , Primarydecomposition , Segre varieties , Algebraic statistics , secant varieties
Journal title :
Journal of Symbolic Computation
Journal title :
Journal of Symbolic Computation
