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math.OC2026
No-gap second-order conditions for optimization problems involving transport distances
Nicolas Borchard, Christian Meyer, Gerd Wachsmuth
We consider optimization problems in the space of measures. As a regularization term, the problem includes the transport distance to a given prior measure. For the derivation of se…
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.OC2023
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…