Maximum Likelihood Duality for Determinantal Varieties

DOI10.1093/imrn/rnt128zbMath1306.13020arXiv1211.3196OpenAlexW2063979566MaRDI QIDQ2929655

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Publication date: 14 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3196

zbMATH Keywords

dualitymatricesmaximum likelihooddeterminantal varieties

Mathematics Subject Classification ID

Determinantal varieties (14M12) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

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Likelihood Geometry ⋮ The Maximum Likelihood Degree of Mixtures of Independence Models ⋮ \(u\)-generation: solving systems of polynomials equation-by-equation ⋮ Numerical computation of Galois groups ⋮ Critical points via monodromy and local methods ⋮ The Euclidean distance degree of an algebraic variety ⋮ Homotopy techniques for tensor decomposition and perfect identifiability

Uses Software

• Bertini