Skip to main content
To KTH's start page

Joe Johnson: Equivalence of Graphical Models through Toric Geometry

Time: Tue 2024-09-24 10.15

Location: KTH 3418, Lindstedtsvägen 25 and Zoom

Video link: Meeting ID: 632 2469 3290

Participating: Joe Johnson (KTH)

Export to calendar

Abstract

In the study of (possibly cyclic) directed graphical models, one aims to understand how the structure of a directed graph relates to the structure of an associated model. Many graphs yield the same model — a feature called distribution equivalence. In the acyclic case, equivalent graphs are related via a sequence of covered edge flips. We translate these edge flips into generators of a binomial ideal and apply the theory of binomial and toric ideals to study distribution equivalence of cyclic graphical models.