1 code implementation • 20 May 2022 • Abdullah Abdullah, Martin Holler, Karl Kunisch, Malena Sabate Landman
Isolating different types of motion in video data is a highly relevant problem in video analysis.
1 code implementation • 15 Jun 2020 • Erich Kobler, Alexander Effland, Karl Kunisch, Thomas Pock
In this work, we combine the variational formulation of inverse problems with deep learning by introducing the data-driven general-purpose total deep variation regularizer.
1 code implementation • CVPR 2020 • Erich Kobler, Alexander Effland, Karl Kunisch, Thomas Pock
Diverse inverse problems in imaging can be cast as variational problems composed of a task-specific data fidelity term and a regularization term.
1 code implementation • 18 Dec 2019 • Christian Clason, Karl Kunisch, Philip Trautmann
We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part.
Optimization and Control
1 code implementation • 5 Aug 2019 • Sergey Dolgov, Dante Kalise, Karl Kunisch
For nonlinear dynamics, the effectiveness of the high-dimensional control synthesis method is assessed in the optimal feedback stabilization of the Allen-Cahn and Fokker-Planck equations with a hundred of variables.
Optimization and Control Numerical Analysis Numerical Analysis
no code implementations • 19 Jul 2019 • Alexander Effland, Erich Kobler, Karl Kunisch, Thomas Pock
We investigate a well-known phenomenon of variational approaches in image processing, where typically the best image quality is achieved when the gradient flow process is stopped before converging to a stationary point.
no code implementations • 21 Aug 2017 • Christian Clason, Florian Kruse, Karl Kunisch
This work is concerned with the determination of the diffusion coefficient from distributed data of the state.
Optimization and Control
1 code implementation • 24 Feb 2017 • Christian Clason, Armin Rund, Karl Kunisch, Richard C. Barnard
A convex penalty for promoting switching controls for partial differential equations is introduced; such controls consist of an arbitrary number of components of which at most one should be simultaneously active.
Optimization and Control
1 code implementation • 24 Feb 2017 • Christian Clason, Karl Kunisch
This work is concerned with optimal control of partial differential equations where the control enters the state equation as a coefficient and should take on values only from a given discrete set of values corresponding to available materials.
Optimization and Control
1 code implementation • 24 Feb 2017 • Christian Clason, Kazufumi Ito, Karl Kunisch
Optimal control problems involving hybrid binary-continuous control costs are challenging due to their lack of convexity and weak lower semicontinuity.
Optimization and Control
1 code implementation • 31 May 2016 • Christian Clason, Armin Rund, Karl Kunisch
This paper is concerned with optimal control problems for parabolic partial differential equations with pointwise in time switching constraints on the control.
Optimization and Control