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On fast convergence rates for generalized conditional gradient methods with backtracking stepsize
Karl Kunisch, Daniel Walter
A generalized conditional gradient method for minimizing the sum of two convex functions, one of them differentiable, is presented. This iterative method relies on two main ingredi…
A fast Primal-Dual-Active-Jump method for minimization in
Philip Trautmann, Daniel Walter
We analyze a solution method for minimization problems over a space of -valued functions of bounded variation on an interval . The presented method relies on piece…
Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation
Karl Kunisch, Daniel Walter
A learning approach for optimal feedback gains for nonlinear continuous time control systems is proposed and analysed. The goal is to establish a rigorous framework for computing a…
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems
Ira Neitzel, Konstantin Pieper, Boris Vexler +1
We present a systematic approach to the optimal placement of finitely many sensors in order to infer a finite-dimensional parameter from point evaluations of the solution of an ass…
Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems
Dmitriy Leykekhman, Boris Vexler, Daniel Walter
In this paper we consider a problem of initial data identification from the final time observation for homogeneous parabolic problems. It is well-known that such problems are expon…
Linear convergence of accelerated conditional gradient algorithms in spaces of measures
Konstantin Pieper, Daniel Walter
A class of generalized conditional gradient algorithms for the solution of optimization problem in spaces of Radon measures is presented. The method iteratively inserts additional…