Uncertainty Quantification (UQ) is a modern research area at the intersection of applied mathematics, probability, statistics, computational science and engineering. UQ is an essential component of predictive science, allowing scientists and engineers to make meaningful inferences and decisions based on imperfect physical models.
The UQ group has broad interests from foundational theoretical questions (e.g. fundamental limits on uncertainty or predictive capability) to practical numerical computation (e.g. efficient and robust calculation of uncertainties). Our projects include:
- optimal and robust uncertainty quantification under epistemic uncertainty;
- consistency and robustness of Bayesian procedures;
- probabilistic numerical methods for deterministic equations;
- concentration-of-measure phenomena;
- applications to seismic safety, optical properties of novel metamaterials, and hypervelocity impact and other high strain-rate deformations;