Maximum Likelihood Degree, Complete Quadrics, and C*-Action

Michalek, Mateusz; Monin, Leonid; Wiśniewski, Jarosław A.

Maximum Likelihood Degree, Complete Quadrics, and C*-Action

Dateien

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Datum

2021

Autor:innen

Michalek, Mateusz

Monin, Leonid

Wiśniewski, Jarosław A.

DOI (zitierfähiger Link)

https://doi.org/10.1137/20M1335960

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

SIAM Journal on Applied Algebra and Geometry. Society for Industrial and Applied Mathematics (SIAM). 2021, 5(1), pp. 60-85. eISSN 2470-6566. Available under: doi: 10.1137/20M1335960

Zusammenfassung

We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics. This allows us to provide an explicit and basic, albeit very computationally complex, formula for the ML-degree. The variety of complete quadrics is an exact analogue for symmetric matrices of the permutohedron variety for the diagonal matrices.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

MICHALEK, Mateusz, Leonid MONIN, Jarosław A. WIŚNIEWSKI, 2021. Maximum Likelihood Degree, Complete Quadrics, and C*-Action. In: SIAM Journal on Applied Algebra and Geometry. Society for Industrial and Applied Mathematics (SIAM). 2021, 5(1), pp. 60-85. eISSN 2470-6566. Available under: doi: 10.1137/20M1335960

BibTex

@article{Michalek2021Maxim-53381,
  year={2021},
  doi={10.1137/20M1335960},
  title={Maximum Likelihood Degree, Complete Quadrics, and C*-Action},
  number={1},
  volume={5},
  journal={SIAM Journal on Applied Algebra and Geometry},
  pages={60--85},
  author={Michalek, Mateusz and Monin, Leonid and Wiśniewski, Jarosław A.}
}

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