# Pratik Misra: Directed Gaussian graphical models with toric vanishing ideal

**Time: **
Tue 2021-12-07 10.15

**Location: **
KTH, 3721, Lindstedtsvägen 25 and Zoom (meeting ID: 659 3743 5667)

**Lecturer: **
Pratik Misra (KTH)

### Abstract

Directed Gaussian graphical models are statistical models that use a directed acyclic graph (DAG) to represent the conditional independence structures between a set of jointly random variables. The study of generators of the vanishing ideal of a DAG is an important problem for constraint based inference for inferring the structure of the underlying graph from data. In this talk, I will make an attempt to characterize the DAGs whose vanishing ideals are toric. In particular, I will give some combinatorial criteria to construct such DAGs from smaller DAGs which have toric vanishing ideals. In the end, for DAGs having toric vanishing ideal, I will present some results about the generating sets of those ideals.