Algebraic geometry of Bayesian networks
type: Item
instance of: scholarly article
title: Algebraic geometry of Bayesian networks
zbMATH Open document ID: 1126.68102
author: Luis David Garcia
author: Bernd Sturmfels
author: Mike Stillman
published in: Journal of Symbolic Computation
publication date: 2007-10-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0301255
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 14N05
zbMATH DE Number: 5202019
zbMATH Keywords: algebraic statistics
zbMATH Keywords: Bayesian networks
zbMATH Keywords: independence models
zbMATH Keywords: polynomial ideals
zbMATH Keywords: decomposition
zbMATH Keywords: secant varieties
zbMATH Keywords: Segre varieties
describes a project that uses: SINGULAR
describes a project that uses: Macaulay2
MaRDI profile type: Publication
OpenAlex ID: W2037181643
Wikidata QID: Q102125396
arXiv ID: math/0301255
cites work: Q3537588
cites work: The homogeneous ideal of higher secant varieties
cites work: Ranks of tensors, secant varieties of Segre varieties and fat points
cites work: Q4247789
cites work: Binomial ideals
cites work: Stratified exponential families: Graphical models and model selection
cites work: On the toric algebra of graphical models
cites work: Exploratory latent structure analysis using both identifiable and unidentifiable models
cites work: Q4002797
cites work: Q4382293
cites work: Conditional Independences among Four Random Variables III: Final Conclusion
cites work: Q4527384
cites work: Geometry, moments and conditional independence trees with hidden variables.
cites work: Localization and primary decomposition of polynomial ideals
cites work: Rank and optimal computation of generic tensors
cites work: Q4861423
cites work: Q4781203
DOI: 10.1016/J.JSC.2004.11.007
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description: scientific article