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

01/10/2021
by   Robin van der Veer, et al.
0

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.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

12/14/2020

Toric invariant theory for maximum likelihood estimation in log-linear models

We establish connections between invariant theory and maximum likelihood...
06/13/2019

Efficiency of maximum likelihood estimation for a multinomial distribution with known probability sums

For a multinomial distribution, suppose that we have prior knowledge of ...
11/17/2020

Maximum Likelihood Estimation for Nets of Conics

We study the problem of maximum likelihood estimation for 3-dimensional ...
12/06/2019

A new inequality for maximum likelihood estimation in statistical models with latent variables

Maximum-likelihood estimation (MLE) is arguably the most important tool ...
01/26/2022

Improved Maximum Likelihood Estimation of ARMA Models

In this paper we propose a new optimization model for maximum likelihood...
10/23/2021

Why Machine Learning Cannot Ignore Maximum Likelihood Estimation

The growth of machine learning as a field has been accelerating with inc...
03/09/2021

Maximum Likelihood Estimation for Hawkes Processes with self-excitation or inhibition

In this paper, we present a maximum likelihood method for estimating the...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.