\dm_csml_event_details UCL ELLIS

Probability Measures on Numerical Solutions of ODEs and PDEs for Uncertainty Quant. and Inference


Speaker

Patrick Conrad

Affiliation

University of Warwick

Date

Friday, 08 May 2015

Time

13:00-14:00

Location

Zoom

Link

Roberts G06 (Sir Ambrose Fleming lecture theatre)

Event series

Jump Trading/ELLIS CSML Seminar Series

Abstract

Deterministic ODE and PDE solvers are widely used, but characterizing the error in numerical solutions within a coherent statistical framework is challenging. We successfully address this problem by constructing a probability measure over functions consistent with the solution that provably contracts to a Dirac measure on the unique solution at rates determined by an underlying deterministic solver. The measure straightforwardly derives from important classes of numerical solvers and is illustrated on uncertainty quantification and inverse problems.

Biography