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Linear Convergence of Iterative Soft-Thresholding

- K. Bredies, Dirk A. Lorenz
- Mathematics
- 11 September 2007

In this article a unified approach to iterative soft-thresholding algorithms for the solution of linear operator equations in infinite dimensional Hilbert spaces is presented. We formulate the… Expand

223 20- PDF

An Inertial Forward-Backward Algorithm for Monotone Inclusions

- Dirk A. Lorenz, T. Pock
- Mathematics, Computer Science
- Journal of Mathematical Imaging and Vision
- 14 March 2014

TLDR

210 13- PDF

Elastic-net regularization: error estimates and active set methods

- B. Jin, Dirk A. Lorenz, S. Schiffler
- Mathematics
- 6 May 2009

This paper investigates theoretical properties and efficient numerical algorithms for the so-called elastic-net regularization originating from statistics, which enforces simultaneously l1 and l2… Expand

61 11- PDF

The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations

- Dirk A. Lorenz, F. Schöpfer, S. Wenger
- Mathematics, Computer Science
- SIAM J. Imaging Sci.
- 9 September 2013

TLDR

56 9- PDF

Regularization with non-convex separable constraints

- K. Bredies, Dirk A. Lorenz
- Mathematics
- 1 August 2009

We consider regularization of nonlinear ill-posed problems with constraints which are non-convex. As a special case, we consider separable constraints, i.e. the regularization takes place in a… Expand

131 8- PDF

A semismooth Newton method for Tikhonov functionals with sparsity constraints

- R. Griesse, Dirk A. Lorenz
- Mathematics
- 20 September 2007

Minimization problems in l2 for Tikhonov functionals with sparsity constraints are considered. Sparsity of the solution is ensured by a weighted l1 penalty term. The necessary and sufficient… Expand

93 8- PDF

A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing

- Dirk A. Lorenz, S. Wenger, F. Schöpfer, M. Magnor
- Computer Science, Mathematics
- IEEE International Conference on Image Processing…
- 28 March 2014

TLDR

45 8- PDF

Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding

- K. Bredies, Dirk A. Lorenz, Stefan Reiterer
- Mathematics, Computer Science
- J. Optim. Theory Appl.
- 1 April 2015

TLDR

90 6- PDF

Image Sequence Interpolation Using Optimal Control

- Kanglin Chen, Dirk A. Lorenz
- Computer Science, Mathematics
- Journal of Mathematical Imaging and Vision
- 3 August 2010

TLDR

51 6- PDF

Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints

- K. Bredies, Dirk A. Lorenz
- Mathematics, Computer Science
- SIAM J. Sci. Comput.
- 1 March 2008

TLDR

133 5- PDF

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