@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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    <dcterms:title>Maximum Likelihood Degree, Complete Quadrics, and C*-Action</dcterms:title>
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    <dc:contributor>Wiśniewski, Jarosław A.</dc:contributor>
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    <dc:contributor>Monin, Leonid</dc:contributor>
    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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