Speaker
Dr
Jyrki Jauhiainen
(University of Graz)
Description
This talk gives a nontechnical introduction to PDE-constrained bilevel optimization problems with nonsmooth lower levels. The PDE constraints considered here are simplifications of the Bloch--Torrey equation from MRI, with the bilevel structure modelling a parameter learning problem. We discuss how complementarity conditions arising from first-order information are connected to the observability of an associated multiplier system. Based on the obtained multipliers, we propose a simple gradient-based method for computing the solutions of the bilevel problem.
Author
Dr
Jyrki Jauhiainen
(University of Graz)