Algebraic Geometry of Bayesian Networks
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Probability
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.
Cite
@article{arxiv.math/0301255,
title = {Algebraic Geometry of Bayesian Networks},
author = {Luis David Garcia and Michael Stillman and Bernd Sturmfels},
journal= {arXiv preprint arXiv:math/0301255},
year = {2007}
}
Comments
30 pages