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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…