4 papers · 1 filter
Proximal gradient methods in Banach spaces
Gerd Wachsmuth, Daniel Walter
Proximal gradient methods are a popular tool for the solution of structured, nonsmooth minimization problems. In this work, we investigate an extension of the former to general Ban…
Lazifying point insertion algorithms in spaces of measures
Arsen Hnatiuk, Daniel Walter
Greedy point insertion algorithms have emerged as an attractive tool for the solution of minimization problems over the space of Radon measures. Conceptually, these methods can be…
Empirical risk minimization for risk-neutral composite optimal control with applications to bang-bang control
Johannes Milz, Daniel Walter
Nonsmooth composite optimization problems under uncertainty are prevalent in various scientific and engineering applications. We consider risk-neutral composite optimal control pro…
No-gap second-order conditions for minimization problems in spaces of measures
Gerd Wachsmuth, Daniel Walter
Over the last years, minimization problems over spaces of measures have received increased interest due to their relevance in the context of inverse problems, optimal control and m…