Maximum likelihood degree, complete quadrics and ${\mathbb C}^*$-action
Algebraic Geometry
2020-11-19 v3 Statistics Theory
Statistics Theory
Abstract
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, basic, albeit of high computational complexity, formula for the ML-degree. The variety of complete quadrics is an exact analog for symmetric matrices of the permutohedron variety for the diagonal matrices.
Cite
@article{arxiv.2004.07735,
title = {Maximum likelihood degree, complete quadrics and ${\mathbb C}^*$-action},
author = {Mateusz Michałek and Leonid Monin and Jarosław Wiśniewski},
journal= {arXiv preprint arXiv:2004.07735},
year = {2020}
}
Comments
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