Optimization and Control
Optimization is at the heart of many engineering problems. It also constitutes a building block of machine learning algorithms. As such, developing optimization methods that perform efficiently on high-dimensional problems is of great interest. We have made a number of contributions in this direction that are listed below.
Multi-scale analysis of accelerated gradient methods:
Invariant solutions of Navier-Stokes and intermittency:
Optimal Control for scaling laws of turbulence: