508 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Sapienza University of RomeIT203 papers
- Centre National de la Recherche ScientifiqueFR156 papers
- Deutsches Elektronen-Synchrotron DESYDE152 papers
- European Organization for Nuclear ResearchCH147 papers
- Universität HamburgDE147 papers
- Princeton UniversityUS145 papers
- RWTH Aachen UniversityDE144 papers
- Eötvös Loránd UniversityHU143 papers
- Rutgers, The State University of New JerseyUS143 papers
- Tata Institute of Fundamental ResearchIN143 papers
- University of California San DiegoUS143 papers
- University of Wisconsin–MadisonUS143 papers
18 papers · 1 filter
A trust-region method for optimal control of ODEs with continuous-or-off controls and TV regularization
Markus Friedemann, Gerd Wachsmuth
A solution algorithm for a special class of optimal control problems subject to an ordinary differential equation is proposed. The controls possess a continuous-or-off structure an…
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…
Stability and genericity of bang-bang controls in affine problems
Alberto Domínguez Corella, Gerd Wachsmuth
We analyse the role of the bang-bang property in affine optimal control problems. We show that many essential stability properties of affine problems are only satisfied when minimi…
Integer optimal control problems with total variation regularization: Optimality conditions and fast solution of subproblems
Jonas Marko, Gerd Wachsmuth
We investigate local optimality conditions of first and second order for integer optimal control problems with total variation regularization via a finite-dimensional switching poi…
Constrained composite optimization and augmented Lagrangian methods
Alberto De Marchi, Xiaoxi Jia, Christian Kanzow +1
We investigate finite-dimensional constrained structured optimization problems, featuring composite objective functions and set-membership constraints. Offering an expressive yet s…
Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation
Hedwig Keller, Sören Bartels, Gerd Wachsmuth
We are interested in the optimization of convex domains under a PDE constraint. Due to the difficulties of approximating convex domains in , the restriction to rotati…
Second-order conditions for non-uniformly convex integrands: quadratic growth in
Daniel Wachsmuth, Gerd Wachsmuth
We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures. The…
From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability
Gerd Wachsmuth
We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are intere…
Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach
Tobias Breiten, Carsten Hartmann, Lara Neureither +1
We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly…
A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints
Felix Harder
It is known in the literature that local minimizers of mathematical programs with complementarity constraints (MPCCs) are so-called M-stationary points, if a weak MPCC-tailored Gui…
Data-Driven Control for Linear Discrete-Time Delay Systems
Juan G. Rueda-Escobedo, Emilia Fridman, Johannes Schiffer
The increasing ease of obtaining and processing data together with the growth in system complexity has sparked the interest in moving from conventional model-based control design t…
On implicit variables in optimization theory
Matúš Benko, Patrick Mehlitz
Implicit variables of a mathematical program are variables which do not need to be optimized but are used to model feasibility conditions. They frequently appear in several differe…
Asymptotic stationarity and regularity for nonsmooth optimization problems
Patrick Mehlitz
Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional as…
Relaxation schemes for mathematical programs with switching constraints
Christian Kanzow, Patrick Mehlitz, Daniel Steck
Switching-constrained optimization problems form a difficult class of mathematical programs since their feasible set is almost disconnected while standard constraint qualifications…
Optimal control problems with control complementarity constraints
Christian Clason, Yu Deng, Patrick Mehlitz +1
A special class of optimal control problems with complementarity constraints on the control functions is studied. It is shown that such problems possess optimal solutions whenever…
Infinite-dimensional bilinear and stochastic balanced truncation with error bounds
Simon Becker, Carsten Hartmann
Along the ideas of Curtain and Glover, we extend the balanced truncation method for infinite-dimensional linear systems to bilinear and stochastic systems. Specifically , we apply…
Optimal control of Markov jump processes : Asymptotic analysis, algorithms and applications to the modelling of chemical reaction systems
Wei Zhang, Carsten Hartmann, Max von Kleist
Markov jump processes are widely used to model natural and engineered processes. In the context of biological or chemical applications one typically refers to the chemical master e…
Bregman Iteration for Correspondence Problems: A Study of Optical Flow
Laurent Hoeltgen, Michael Breuß
Bregman iterations are known to yield excellent results for denoising, deblurring and compressed sensing tasks, but so far this technique has rarely been used for other image proce…