## 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

*Certified dimension reduction in nonlinear Bayesian inverse problems,*Mathematics of Computation, in press (2022).

*Coupling techniques for nonlinear ensemble filtering,*SIAM Review, in press (2022).

*Sparse approximation of triangular transports. Part II: the infinite dimensional case,*Constructive Approximation, in press (2022).

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

*Greedy inference with structure-exploiting lazy maps,*Advances in Neural Information Processing Systems (NeurIPS)

**oral presentation**, (2020).

##### Announcements

**December 2021**

Congratulations to Ben Zhang for successfully defending his PhD thesis!

**September 2021**

Welcome to new UQGroup graduate students Kate Fisher, Julien Luzzatto, and Danny Sharp!

**September 2021**

Congratulations to Andrea Scarinci for successfully defending his PhD thesis!

**August 2021**

Welcome to new postdocs Nisha Chandramoorthy and Matt Li, who both recently completed their PhD degrees at MIT!

**June 2021**

Welcome to new UQGroup graduate students Dimitris Konomis and Josh White!

**June 2021**

Welcome to new postdoc Dallas Foster, who is joining the group after finishing his PhD at Oregon State University!

**April 2021**

Congratulations to incoming graduate student Kate Fisher for winning an NSF Graduate Research Fellowship!