Search Results for author: Karl Kunisch

Found 10 papers, 8 papers with code

Total Deep Variation: A Stable Regularizer for Inverse Problems

1 code implementation15 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.

Total Deep Variation for Linear Inverse Problems

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.

Image Reconstruction Image Restoration

Optimal control of the principal coefficient in a scalar wave equation

1 code implementation18 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

Tensor Decomposition Methods for High-dimensional Hamilton-Jacobi-Bellman Equations

1 code implementation5 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

An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration

no code implementations19 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.

Deblurring Image Deblurring +2

Total variation regularization of multi-material topology optimization

no code implementations21 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

A convex penalty for switching control of partial differential equations

1 code implementation24 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

A convex analysis approach to multi-material topology optimization

1 code implementation24 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

A convex analysis approach to optimal controls with switching structure for partial differential equations

1 code implementation24 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

Nonconvex penalization of switching control of partial differential equations

1 code implementation31 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

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