## 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

*Sparse approximation of triangular transports on bounded domains,*Preprint, (2020).

*Coupling techniques for nonlinear ensemble filtering,*Preprint, (2019).

*Transport map accelerated Markov chain Monte Carlo,*SIAM/ASA Journal on Uncertainty Quantification, 6 (2018), pp. 645–682.

*Inference via low-dimensional couplings,*The Journal of Machine Learning Research, 19 (2018), pp. 1–71.

##### Announcements

**September 2020**

Congratulations to Michael Brennan, Daniele Bigoni, Olivier Zahm, and Alessio Spantini on their paper accepted for oral presentation at NeurIPS 2020!

**April 2020**

Congratulations to Aimee Maurais for winning an NSF Graduate Research Fellowship!

**April 2020**

Congratulations to Robert Ren for winning an NSF Graduate Research Fellowship!

**March 2020**

Congratulations to Antoni Musolas for successfully defending his PhD thesis!

**December 2019**

Congratulations to Jon Paul Janet for successfully defending his PhD thesis!

**November 2019**

Congratulations to Jakob Zech for accepting a faculty position in the Institute of Applied Mathematics at the University of Heidelberg!

**September 2019**

Congratulations to Ben Zhang for winning the MathWorks Fellowship from the MIT School of Engineering.