Gaussian conditional independence relations have no finite complete characterization

DOI10.1016/j.jpaa.2008.11.026zbMath1162.13014arXiv0704.2847OpenAlexW2009563364MaRDI QIDQ1017668

Seth Sullivant

Publication date: 12 May 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2847

Mathematics Subject Classification ID

Multivariate analysis (62H99) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (8)

Gaussoids are two-antecedental approximations of Gaussian conditional independence structures ⋮ The geometry of Gaussian double Markovian distributions ⋮ Nonlinear algebra and applications ⋮ Generalized Permutohedra from Probabilistic Graphical Models ⋮ On patterns of conditional independences and covariance signs among binary variables ⋮ Matrix Schubert varieties and Gaussian conditional independence models ⋮ The geometry of gaussoids ⋮ Construction methods for gaussoids

Uses Software

• Macaulay2

Cites Work

• Primary decomposition of lattice basis ideals
• Binomial ideals
• Conditionals, Information, and Inference
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