English

Graphical models in Macaulay2

Commutative Algebra 2013-01-09 v3 Computation

Abstract

The Macaulay2 package GraphicalModels contains algorithms for the algebraic study of graphical models associated to undirected, directed and mixed graphs, and associated collections of conditional independence statements. Among the algorithms implemented are procedures for computing the vanishing ideal of graphical models, for generating conditional independence ideals of families of independence statements associated to graphs, and for checking for identifiable parameters in Gaussian mixed graph models. These procedures can be used to study fundamental problems about graphical models.

Keywords

Cite

@article{arxiv.1208.6550,
  title  = {Graphical models in Macaulay2},
  author = {Luis David García-Puente and Sonja Petrović and Seth Sullivant},
  journal= {arXiv preprint arXiv:1208.6550},
  year   = {2013}
}

Comments

Several changes to address referee comments and suggestions. We will eventually include this package in the standard distribution of Macaulay2. But until then, the associated Macaulay2 file can be found at http://www.shsu.edu/~ldg005/papers.html

R2 v1 2026-06-21T21:58:07.131Z