Equations defining probability tree models

DOI10.1016/j.jsc.2019.04.001zbMath1451.13086arXiv1802.04511OpenAlexW2786193720MaRDI QIDQ2284967

Christiane Görgen, Eliana Duarte

Publication date: 15 January 2020

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04511

zbMATH Keywords

algebraic geometrygraphical modelsalgebraic statisticsstaged trees

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Probabilistic graphical models (62H22) Algebraic statistics (62R01)

Related Items (8)

Staged tree models with toric structure ⋮ Testing the fit of relational models ⋮ The curved exponential family of a staged tree ⋮ A new characterization of discrete decomposable graphical models ⋮ Algebraic structures in statistical methodology. Abstracts from the workshop held December 4--10, 2022 ⋮ Toric and Non-toric Bayesian Networks ⋮ Nonlinear algebra and applications ⋮ Discrete statistical models with rational maximum likelihood estimator

Uses Software

• Macaulay2
• GraphicalModels

Cites Work

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• Phylogenetic ideals and varieties for the general Markov model
• On the toric algebra of graphical models
• Dynamic staged trees for discrete multivariate time series: forecasting, model selection and causal analysis
• Algebraic Statistics
• Statistical Methods for Eliciting Probability Distributions

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