Logarithmic Voronoi cells for Gaussian models

DOI10.1016/j.jsc.2023.102256arXiv2203.01487MaRDI QIDQ6184178

Yulia Alexandr, Serkan Hoşten

Publication date: 5 January 2024

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

Full work available at URL: https://arxiv.org/abs/2203.01487

zbMATH Keywords

maximum likelihood estimationalgebraic statisticsspectrahedramaximum likelihood degreeGaussian models

Mathematics Subject Classification ID

Multivariate analysis (62Hxx) Special varieties (14Mxx) Statistics on algebraic and topological structures (62Rxx)

Cites Work

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• Voronoi cells of varieties
• Lectures on algebraic statistics
• Algebraic geometry of Gaussian Bayesian networks
• Logarithmic Voronoi cells
• Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry
• Estimating linear covariance models with numerical nonlinear algebra
• Algebraic Statistics
• The Bottleneck Degree of Algebraic Varieties
• Likelihood Geometry of Correlation Models
• Maximum Likelihood Estimation for Linear Gaussian Covariance Models
• Maximum Likelihood Degree, Complete Quadrics, and $\mathbb{C}^*$-Action
• The Euclidean distance degree of an algebraic variety
• Families of faces and the normal cycle of a convex semi-algebraic set

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