measure optimization 1optimal control 1optimal transport 1second-order optimality 1weak-star subderivatives 1
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math.OC2026
No-gap second-order conditions for optimization problems involving transport distances
Nicolas Borchard, Christian Meyer, Gerd Wachsmuth
The paper develops no-gap second-order optimality conditions for measure-space optimization problems regularized by transport distances, using weak‑star second subderivatives and a…
math.OC2025
Numerical solution of optimal control problems using quadratic transport regularization
Nicolas Borchard, Gerd Wachsmuth
We address optimal control problems on the space of measures for an objective containing a smooth functional and an optimal transport regularization. That is, the quadratic Monge-K…
math.OC2024
Second-order conditions for spatio-temporally sparse optimal control via second subderivatives
Nicolas Borchard, Gerd Wachsmuth
We address second-order optimality conditions for optimal control problems involving sparsity functionals which induce spatio-temporal sparsity patterns. We employ the notion of (w…