Seminar Details

Seminar Details


Wednesday

Aug 10

10:00 am

Parametrizations of Discrete Graphical Models

Robin Evans

Final Exam

University of Washington - Department of Statistics

Advisor: Thomas Richardson


Graphical models are an intuitive way to visually represent conditional independence relations over multivariate distributions. We work with acyclic directed mixed graphs (ADMGs), a class which include DAGs and bidirected graphs as special cases.

We present a new parametrization of ADMGs in the case of finite discrete random variables, and see how it can be exploited to produce parsimonious sub-models. We also show that the adaptive lasso is 'oracle' for model selection and parameter estimation with respect to this parametrization; this is illustrated with simulations.

Lastly we discuss the variation dependence properties of the new parametrization, and show that a variation independent parametrization can be constructed for any discrete ADMG model.