Algebraic Geometry of Bayesian Networks

Preprint

22 January 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0301255

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

ALGEBRAIC CLASSIFICATION
ALGEBRAIC VARIETIES
ALGEBRAIC GEOMETRY
COMPLETE ALGEBRAIC
BAYESIAN NETWORKS
HIDDEN VARIABLES
SECANT VARIETIES
CLASSIFICATION
GEOMETRY

All Related Versions

Version 1, 2003-01-22, ArXiv

This publication has 0 references indexed in Scilit: