Talk of Dr. Luca Furieri

June 11, 2024

--- Title: Learning to Optimize with Convergence Guarantees Using Nonlinear System Theory

Time: June 11, 2024
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Dr. Luca Furieri
Swiss Federal Institute of Technology in Lausanne
Lausanne, Switzerland   

 

Tuesday 2024-06-11 4 p.m.
IST Seminar Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen

 

Abstract

As we tackle complex optimization problems in engineering and computer science, developing algorithms that converge faster and find better solutions is crucial. While control theory provides optimal worst-case convergence rates for convex functions, a recent trend in machine learning named Learning to Optimize (L2O) uses neural networks to discover update rules that excel in complex scenarios; the catch is, formal convergence guarantees are not available. Our research bridges these two paradigms using nonlinear system theory. We introduce an unconstrained parametrization of all convergent algorithms for smooth, non-convex functions. Our framework is compatible with automatic differentiation tools, ensuring convergence while learning to optimize over complex landscapes. 

 

Biographical Information

Luca Furieri is a Principal Investigator at EPF Lausanne since 2023. His research focuses on optimal control and optimization for distributed decision-making and large-scale cyber-physical systems. Previously, he has been a Postdoctoral researcher at the Automatic Control Laboratory, EPFL. In 2020, he has been awarded a Ph.D. degree in Control and Optimization from ETH - Zurich. He has received the SNSF Ambizione career grant in 2022, the IEEE Transactions on Control of Network Systems Best Paper Award in 2022, and the American Control Conference O. Hugo Schuck Best Paper Award in 2018.

 
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