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Pratik Misra: Directed Gaussian graphical models with toric vanishing ideal

Tid: Ti 2021-12-07 kl 10.15

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

Föreläsare: 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.