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math.OC2025
Dictionary Learning Based Regularization in Quantitative MRI: A Nested Alternating Optimization Framework
Guozhi Dong, Michael Hintermüller, Clemens Sirotenko
In this article, we propose a novel regularization method for a class of nonlinear inverse problems that is inspired by an application in quantitative magnetic resonance imaging (q…
math.OC2022
A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives
Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros
We propose and analyze a numerical algorithm for solving a class of optimal control problems for learning-informed semilinear partial differential equations. The latter is a class…