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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…
math.OC2012★ 3 cited
Optimal bilinear control of Gross-Pitaevskii equations
Michael Hintermüller, Daniel Marahrens, Peter A. Markowich +1
A mathematical framework for optimal bilinear control of nonlinear Schrödinger equations of Gross-Pitaevskii type arising in the description of Bose-Einstein condensates is present…