Maximum Likelihood Estimation from a Tropical and a Bernstein–Sato Perspective-Reference-Cited by-同舟云学术

Maximum Likelihood Estimation from a Tropical and a Bernstein–Sato Perspective

Published:2022-02-10 Issue:6 Volume:2023 Page:5263-5292
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Sattelberger Anna-Laura¹,van der Veer Robin²

Affiliation:

1. Max-Planck-Institut für Mathematik in den Naturwissenschaften , Inselstraße 22, 04103 Leipzig, Germany

2. Department of Mathematics , KU Leuven, Celestijnenlaan 200B bus 2400, B-3001 Leuven, Belgium

Abstract

Abstract In this article, we investigate maximum likelihood estimation (MLE) 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 MLE in statistics.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/6/5263/49505463/rnac016.pdf

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