Generalized cut polytopes for binary hierarchical models

DOI10.2140/astat.2023.14.17arXiv2008.00043OpenAlexW4389109584MaRDI QIDQ6192401

Jane Ivy Coons, Aida Maraj, Joseph Cummings, Benjamin Hollering

Publication date: 12 February 2024

Published in: Algebraic Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00043

zbMATH Keywords

hierarchical modelmarginal polytopegeneralized cut polytopehalf-space description

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Gale and other diagrams (52B35) Algebraic statistics (62R01) Statistics on algebraic and topological structures (62Rxx)

Cites Work

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• Markov bases of binary graph models
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• Approximating faces of marginal polytopes in discrete hierarchical models
• Normal binary graph models
• Unimodular hierarchical models and their Graver bases
• On the Hilbert Function of Determinantal Rings and Their Canonical Module
• Lectures on Polytopes
• Algebraic Statistics
• On the cut polytope
• Normal Binary Hierarchical Models
• Geometry of cuts and metrics

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