Jim Griffin: Time Dependent Stick Breaking

The stick breaking construction of the Dirichlet process has been a popular starting point for many dependent nonparametric processes. This talk considers a temporal version of the Order-Based Dependent Dirichlet Process, which can be extended to more general stick-breaking marginal processes. Interestingly, the simplest constructions lead to marginal Dirichlet and Poisson-Dirichlet processes. Usefully, the first process also has a “Chinese restaurant”-type representation which will be described. Applications to time-dependent mixture modelling will be presented.