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math.OC2026
Overcoming slow Kolmogorov width decay in parametric optimal control via neural network surrogates
Hendrik Kleikamp, Martin Lazar, Juan Ricardo Muñoz
In this paper we deal with parametric, linear-quadratic optimal control problems in which the solution can be uniquely characterized by the optimal final time adjoint state. As a m…
math.OC2024
Application of an adaptive model hierarchy to parametrized optimal control problems
Hendrik Kleikamp
In this contribution we apply an adaptive model hierarchy, consisting of a full-order model, a reduced basis reduced order model, and a machine learning surrogate, to parametrized…
math.OC2023
Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems
Hendrik Kleikamp, Martin Lazar, Cesare Molinari
We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algor…