460 citations · 1.2k across the 40 of their papers we have counts for
5 papers · 1 filter
An extended Perona-Malik model based on probabilistic models
Lars M. Mescheder, Dirk A. Lorenz
The Perona-Malik model has been very successful at restoring images from noisy input. In this paper, we reinterpret the Perona-Malik model in the language of Gaussian scale mixture…
A Primal-Dual Homotopy Algorithm for -Minimization with -Constraints
Christoph Brauer, Dirk A. Lorenz, Andreas M. Tillmann
In this paper we propose a primal-dual homotopy method for -minimization problems with infinity norm constraints in the context of sparse reconstruction. The natural homoto…
Linear convergence of the Randomized Sparse Kaczmarz Method
Frank Schöpfer, Dirk A. Lorenz
The randomized version of the Kaczmarz method for the solution of linear systems is known to converge linearly in expectation. In this work we extend this result and show that the…
Rank-optimal weighting or "How to be best in the OECD Better Life Index?"
Jan Lorenz, Christoph Brauer, Dirk A. Lorenz
We present a method of rank-optimal weighting which can be used to explore the best possible position of a subject in a ranking based on a composite indicator by means of a mathema…
Flexible sparse regularization
Dirk A. Lorenz, Elena Resmerita
The seminal paper of Daubechies, Defrise, DeMol made clear that spaces with and -powers of the corresponding norms are appropriate settings for dealing wit…