47 citations · 91 across the 29 of their papers we have counts for
33 papers
Continuous differentiability of the signum function and Newton's method for bang-bang control
Daniel Wachsmuth, Gerd Wachsmuth
We investigate bang-bang control problems and the possibility to apply Newton's method to solve such kind of problems numerically. To this end, we show that the signum function is…
A globalized inexact semismooth Newton method for strongly convex optimal control problems
Daniel Wachsmuth
We investigate a globalized inexact semismooth Newton method applied to strongly convex optimization problems in Hilbert spaces. Here, the semismooth Newton method is appplied to t…
A numerical solution approach for non-smooth optimal control problems based on the Pontryagin maximum principle
Daniel Wachsmuth
We consider nonsmooth optimal control problems subject to a linear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. It is well-known that loca…
Control in the coefficients of an elliptic differential operator: topological derivatives and Pontryagin maximum principle
Daniel Wachsmuth
We consider optimal control problems, where the control appears in the main part of the operator. We derive the Pontryagin maximum principle as a necessary optimality condition. Th…
Strong stationarity for optimal control problems with non-smooth integral equation constraints: Application to continuous DNNs
Harbir Antil, Livia Betz, Daniel Wachsmuth
Motivated by the residual type neural networks (ResNet), this paper studies optimal control problems constrained by a non-smooth integral equation. Such non-smooth equations, for i…
Optimal regularized hypothesis testing in statistical inverse problems
Remo Kretschmann, Daniel Wachsmuth, Frank Werner
Testing of hypotheses is a well studied topic in mathematical statistics. Recently, this issue has also been addressed in the context of Inverse Problems, where the quantity of int…