Uncertainty Quantification

Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation

In this work, a Bayesian model calibration framework is presented that utilizes goal-oriented a-posterior error estimates in quantities of interest (QoIs) for classes of high-fidelity models characterized by PDEs. It is shown that for a large class …

Mutual-Information Based Optimal Experimental Design for Hyperpolarized 13C-Pyruvate MRI

A key parameter of interest recovered from hyperpolarized (HP) MRI measurements is the apparent pyruvate-to-lactate exchange rate, kPL, for measuring tumor metabolism. This manuscript presents an information-theory-based optimal experimental design …