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

Autor: Sattelberger, Anna-Laura, van der Veer, Robin
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Zdroj: IMRN: International Mathematics Research Notices; Mar2023, Vol. 2023 Issue 6, p5263-5292, 30p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index