June 2021 // Journal article
Quadratically Regularized Optimal Transport
Applied Mathematics & Optimization
Dirk A. Lorenz; Paul Manns; Christian Meyer
Feb 2021 // Journal article
Entropic regularization of continuous optimal transport problems
Journal of Mathematical Analysis and Applications
Christian Clason; Dirk A. Lorenz; Hinrich Mahler; Benedikt Wirth
Dec 2020 // Journal article
Complexity and Applications of the Homotopy Principle for Uniformly Constrained Sparse Minimization
Applied Mathematics & Optimization
Christoph Brauer; Dirk A. Lorenz
Sep 2019 // Journal article
Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence
Computational Optimization and Applications
Dirk A. Lorenz; Quoc Tran-Dinh
Dec 2018 // Journal article
The randomized Kaczmarz method with mismatched adjoint
BIT Numerical Mathematics
Dirk A. Lorenz; Sean Rose; Frank Schöpfer
June 2018 // Journal article
A primal-dual homotopy algorithm for $$\ell _{1}$$-minimization with $$\ell _{\infty }$$-constraints
Computational Optimization and Applications
Christoph Brauer; Dirk A. Lorenz; Andreas M. Tillmann
Jan. 2018 // Journal article
An Extended Perona-Malik Model Based on Probabilistic Models
Journal of Mathematical Imaging and Vision
L. M. Mescheder; D. A. Lorenz
2017 // Book
Denoising of image gradients and constrained total generalized variation
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Komander, B.; Lorenz, D.A.
2017 // Journal article
Flexible sparse regularization
Inverse Problems
Lorenz, D.A.; Resmerita, E.
2017 // Journal article
Rank-Optimal Weighting or "How to be Best in the OECD Better Life Index?"
Social Indicators Research
Lorenz, J.; Brauer, C.; Lorenz, D.
2016 // Conference paper
Sparse reconstruction of quantized speech signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Brauer, C.; Gerkmann, T.; Lorenz, D.
2015 // Journal article
An Inertial Forward-Backward Algorithm for Monotone Inclusions
Journal of Mathematical Imaging and Vision
Lorenz, D.A.; Pock, T.
2015 // Book
Cartoon-texture-noise decomposition with transport norms
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Brauer, C.; Lorenz, D.
2015 // Journal article
Computing and analyzing recoverable supports for sparse reconstruction
Advances in Computational Mathematics
Kruschel, C.; Lorenz, D.A.
2015 // Journal article
Solving basis pursuit: Heuristic optimality check and solver comparison
ACM Transactions on Mathematical Software
Lorenz, D.A.; Pfetsch, M.E.; Tillmann, A.M.
2015 // Journal article
Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized X-ray CT
Inverse Problems in Science and Engineering
Jørgensen, J.S.; Kruschel, C.; Lorenz, D.A.
2014 // Conference paper
A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing
2014 IEEE International Conference on Image Processing, ICIP 2014
Lorenz, D.A.; Wenger, S.; Schopfer, F.; Magnor, M.
2014 // Journal article
An infeasible-point subgradient method using adaptive approximate projections
Computational Optimization and Applications
Lorenz, D.A.; Pfetsch, M.E.; Tillmann, A.M.
2014 // Journal article
Imaging with Kantorovich-Rubinstein discrepancy
SIAM Journal on Imaging Sciences
Lellmann, J.; Lorenz, D.A.; Schönlieb, C.; Valkonen, T.
2014 // Journal article
Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding
Journal of Optimization Theory and Applications
Bredies, K.; Lorenz, D.A.; Reiterer, S.
2014 // Journal article
Observer-independent quantification of insulin granule exocytosis and pre-exocytotic mobility by TIRF microscopy
Microscopy and Microanalysis
Matz, M.; Schumacher, K.; Hatlapatka, K.; Lorenz, D.; Baumann, K.; Rustenbeck, I.
2014 // Book
Sparsity and compressed sensing in inverse problems
Lecture Notes in Computational Science and Engineering
Herrholz, E.; Lorenz, D.; Teschke, G.; Trede, D.
2014 // Journal article
The linearized bregman method via split feasibility problems: Analysis and generalizations
SIAM Journal on Imaging Sciences
Lorenz, D.A.; Schöpfer, F.; Wenger, S.
2013 // Journal article
Constructing test instances for basis pursuit denoising
IEEE Transactions on Signal Processing
Lorenz, D.A.
2013 // Journal article
Necessary conditions for variational regularization schemes