Journal
JOURNAL OF SYMBOLIC COMPUTATION
Volume 39, Issue 3-4, Pages 331-355Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsc.2004.11.007
Keywords
algebraic statistics; Bayesian networks; independence models; polynomial ideals; primary decomposition; secant varieties; segre varieties
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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. (c) 2005 Elsevier Ltd. All rights reserved.
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