Maximum Likelihood Degree, Complete Quadrics, and $\mathbb{C}^*$-Action

DOI10.1137/20M1335960zbMath1461.62228arXiv2004.07735OpenAlexW3131349225MaRDI QIDQ5856512

Leonid Monin, Jarosław A. Wiśniewski, Mateusz Michałek

Publication date: 26 March 2021

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07735

zbMATH Keywords

intersection theorymaximum likelihood degreeLagrangian Grassmanniancomplete quadricslinear concentration model

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Gaussian processes (60G15) Homogeneous spaces and generalizations (14M17) Grassmannians, Schubert varieties, flag manifolds (14M15) Computational aspects of higher-dimensional varieties (14Q15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Rational and birational maps (14E05) Algebraic statistics (62R01)

Related Items

The Maximum Likelihood Degree of Sparse Polynomial Systems, Gaussian Likelihood Geometry of Projective Varieties, Geometric realizations of birational transformations via \({{\mathbb{C}}}^*\)-actions, Rational homogeneous spaces as geometric realizations of birational transformations, Inversion maps and torus actions on rational homogeneous varieties, Logarithmic Voronoi cells for Gaussian models, Multidegrees, prime ideals, and non-standard gradings, Beyond linear algebra, Tangent Quadrics in Real 3-Space, Unnamed Item, Unnamed Item, Small modifications of Mori dream spaces arising from \(\mathbb{C}^\ast\)-actions, The leading coefficient of Lascoux polynomials

Uses Software

• Macaulay2
• SageMath
• OEIS
• LinearCovarianceModels.jl

Cites Work

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