The maximum likelihood degree of toric varieties

DOI10.1016/j.jsc.2018.04.016zbMath1409.14082arXiv1703.02251OpenAlexW2610587785WikidataQ129994909 ScholiaQ129994909MaRDI QIDQ1757019

Nathan Bliss, Evan D. Nash, Daniel Smolkin, Isaac Burke, Jose Israel Rodriguez, Carlos Améndola, Serkan Hoşten, Martin Helmer, Courtney R. Gibbons

Publication date: 28 December 2018

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

Full work available at URL: https://arxiv.org/abs/1703.02251

zbMATH Keywords

toric varietiessymbolic computationpoint estimationcomputational algebraic geometry

Mathematics Subject Classification ID

Point estimation (62F10) Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of higher-dimensional varieties (14Q15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items

Autocovariance varieties of moving average random fields, Maximum likelihood estimation of toric Fano varieties, The Maximum Likelihood Degree of Sparse Polynomial Systems, The Maximum Likelihood Degree of Mixtures of Independence Models, Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models, Moment maps, strict linear precision, and maximum likelihood degree one, Toric fiber products in geometric modeling, Families of polytopes with rational linear precision in higher dimensions, Generalized cut polytopes for binary hierarchical models, The multidimensional truncated moment problem: Gaussian and log-normal mixtures, their Carathéodory numbers, and set of atoms, Quasi-independence models with rational maximum likelihood estimator, Likelihood equations and scattering amplitudes

Uses Software

• Macaulay2
• PHCpack

Cites Work

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