Title | Algebraic geometry of Bayesian networks |
Author(s) | Luis David Garcia-Puente, Michael Stillman, Bernd Sturmfels |
Type | Article in Journal |
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 statistics, Bayesian networks, Independence models, Polynomial ideals, Primary decomposition, Secant varieties, Segre varieties |
ISSN | 0747-7171 |
URL |
http://www.sciencedirect.com/science/article/pii/S0747717105000076 |
Language | English |
Journal | Journal of Symbolic Computation |
Volume | 39 |
Number | 3–4 |
Pages | 331 - 355 |
Year | 2005 |
Note | Special issue on the occasion of MEGA 2003 MEGA 2003 |
Edition | 0 |
Translation |
No |
Refereed |
No |