Algebraic Geometry of Bayesian Networks (2005)
by
Luis David Garcia
,
Michael Stillman
,
Bernd Sturmfels
| Venue: | Journal of Symbolic Computation |
| Citations: | 44 - 4 self |
BibTeX
@ARTICLE{Garcia05algebraicgeometry,
author = {Luis David Garcia and Michael Stillman and Bernd Sturmfels},
title = {Algebraic Geometry of Bayesian Networks},
journal = {Journal of Symbolic Computation},
year = {2005},
pages = {331--355}
}
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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. 1
