MEM Seminar Series
Thursday May 22, 2014
Location/Time: Curtis 162 (MEM Seminar Room) – 10:30 am
“Bayesian Inference of High-Dimensional Dynamical
Model Formulation”
Dr. Pierre F.J. Lermusiaux
Associate Professor of Mechanical Engineering
Massachusetts Institute of Technology
Abstract: In this presentation, we address a holistic set of challenges in high-dimension ocean Bayesian nonlinear estimation: i) predict the probability distribution functions (pdfs) of large nonlinear ocean systems using stochastic partial differential equations, ii) assimilate data using Bayes' law with these pdfs, iii) predict the future data that optimally reduce uncertainties, and (iv) rank the known and learn the new model formulations themselves. Overall, we allow the joint inference of the state, equations, geometry, boundary conditions and initial conditions of dynamical models. Examples are provided using time-dependent fluid and ocean flows, including cavity, double-gyre and sudden-expansion/Strait flows with jets and eddies. The Bayesian model inference, based on very limited observations, is illustrated by the estimation of obstacle shapes and positions, and of biogeochemical reaction equations. These estimation problems have interesting links to classic mechanical engineering. A third estimation, the inference of multiscale bottom gravity current dynamics, is motivated in part by classic over