## Introduction

Welcome to the Uncertainty Quantification Group, in the Department of Aeronautics and Astronautics at MIT. We are part of the Aerospace Computational Design Laboratory, as well as the MIT Center for Computational Science and Engineering and the MIT Statistics and Data Science Center, both within the MIT Schwarzman College of Computing.

#### Research Overview

Our research focuses on advancing foundational computational methodologies for uncertainty quantification, statistical inference, and machine learning in complex physical systems. Our methodological work is motivated by a wide variety of engineering and environmental applications.

We tackle a broad range of projects, but most involve aspects of a few core questions:

- How to quantify confidence in computational predictions?
- How to build or refine models of complex physical processes from indirect and limited observations?
- What information is needed to drive inference, design, and control?

#### Featured Publications

*Coupling techniques for nonlinear ensemble filtering,*SIAM Review, 64 (2022), pp. 921–953.

*Certified dimension reduction in nonlinear Bayesian inverse problems,*Mathematics of Computation, 91 (2022), pp. 1789–1835.

*Sparse approximation of triangular transports. Part II: the infinite dimensional case,*Constructive Approximation, 55 (2022), pp. 987–1036.

*Batch greedy maximization of non-submodular functions: guarantees and applications to experimental design,*The Journal of Machine Learning Research, 22 (2021), pp. 1–62.

##### Announcements

**February 2024**

Congratulations to Fengyi Li for a successful thesis defense!

**January 2024**

The UQGroup welcomes new Postdocs Ayoub Belhadji, Timo Schorlepp, and Mirjeta Pasha!

**September 2023**

The UQ Group welcomes new graduate students Oliver Wang and Julie Zhu!

**July 2023**

Welcome to our new postdoc Mathieu Le Provost!

**May 2023**

Congratulations to Michael Brennan for successfully defending his PhD thesis!

**September 2022**

Welcome to Hannah Lu, joining the group on the heels of finishing her Ph.D. at Stanford!

**May 2022**

Congratulations to Ricardo Baptista for successfully defending his PhD thesis!