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
Pages
25
From page
331
To page
355
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
Serial Year
2005
Journal title
Journal of Symbolic Computation
Record number
805836
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