Algebraic Geometry of Bayesian Networks Export

@misc{citeulike:213272, 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.}, archivePrefix = {arXiv}, author = {Garcia, Luis D. and Stillman, Michael and Sturmfels, Bernd}, citeulike-article-id = {213272}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0301255}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0301255}, day = {22}, eprint = {math/0301255}, keywords = {geometry}, month = {January}, posted-at = {2005-05-27 22:09:22}, priority = {2}, title = {Algebraic Geometry of Bayesian Networks}, url = {http://arxiv.org/abs/math/0301255}, year = {2003} }

TY - ELEC ID - citeulike:213272 L3 - citeulike-article-id:213272 N2 - 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. TI - Algebraic Geometry of Bayesian Networks KW - geometry AU - Garcia, Luis AU - Stillman, Michael AU - Sturmfels, Bernd PY - 2003/01/22/ UR - http://arxiv.org/abs/math/0301255 ER -