Past Event: CSEM Student Forum

High Dimensional Bayesian Integration via Sparsely Parameterized Transport Maps and Quadrature

Meghana Palukuri, Joshua Chen, Tim Smith, Oden Institute, UT Austin

Abstract

In uncertainty quantification, one has to often face the problem of efficient posterior integration for computing moments of quantities of interest (QoIs) in high dimension. One method to do this is dimension-adaptive sparse quadrature. I describe efforts towards scalable dimension-adaptive sparse quadrature via constructing a sparsely parameterized push forward transport map between the prior and the posterior. Along the way, I discuss the connection between sparsity and semilattices.