Algebraic methods for maximum likelihood estimation

Series
Algebra Seminar
Time
Monday, April 9, 2018 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005 or 006
Speaker
Kaie Kubjas – MIT / Aalto University – http://www.kaiekubjas.com/
Organizer
Anton Leykin
Given data and a statistical model, the maximum likelihood estimate is the point of the statistical model that maximizes the probability of observing the data. In this talk, I will address three different approaches to maximum likelihood estimation using algebraic methods. These three approaches use boundary stratification of the statistical model, numerical algebraic geometry and the EM fixed point ideal. This talk is based on joint work with Allman, Cervantes, Evans, Hoşten, Kosta, Lemke, Rhodes, Robeva, Sturmfels, and Zwiernik.