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kolmogorov width 1neural network surrogate 1parametric optimal control 1reduced-order modeling 1u-net 1

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20242026
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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

The paper investigates parametric linear‑quadratic optimal control problems where the optimal adjoint state varies slowly across parameters, and introduces a U‑Net neural network s…