The geometry of gaussoids

DOI10.1007/s10208-018-9396-xzbMath1453.13076arXiv1710.07175OpenAlexW2765832835MaRDI QIDQ2317379

Tobias Boege, Bernd Sturmfels, Thomas Kahle, Alessio D'Alì

Publication date: 9 August 2019

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07175

zbMATH Keywords

Gaussianminorsymmetric matrixmatroidLagrangian Grassmanniangaussoid

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Probability distributions: general theory (60E05) Combinatorial aspects of tropical varieties (14T15) Determinants, permanents, traces, other special matrix functions (15A15) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items

Gaussoids are two-antecedental approximations of Gaussian conditional independence structures, The geometry of Gaussian double Markovian distributions, Selfadhesivity in Gaussian conditional independence structures, On the almost-principal minors of a symmetric matrix, The quasi principal rank characteristic sequence, Detecting tropical defects of polynomial equations, Construction methods for gaussoids, Conditional independence in max-linear Bayesian networks

Uses Software

• Macaulay2
• SageMath
• SCIP
• sharpSAT

Cites Work

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