Maximum Likelihood Estimation from a Tropical and a Bernstein--Sato Perspective
Algebraic Geometry
2022-03-04 v2 Statistics Theory
Statistics Theory
Abstract
In this article, we investigate Maximum Likelihood Estimation with tools from Tropical Geometry and Bernstein--Sato theory. We investigate the critical points of very affine varieties and study their asymptotic behavior. We relate these asymptotics to particular rays in the tropical variety as well as to Bernstein--Sato ideals and give a connection to Maximum Likelihood Estimation in Statistics.
Cite
@article{arxiv.2101.03570,
title = {Maximum Likelihood Estimation from a Tropical and a Bernstein--Sato Perspective},
author = {Anna-Laura Sattelberger and Robin van der Veer},
journal= {arXiv preprint arXiv:2101.03570},
year = {2022}
}
Comments
23 pages