Wavelet shrinkage in signal & image processing: an investigation of relations and equivalences. - Dirk A. Lorenz (2004)

An Optimal Control Problem in Medical Image Processing. - Kristian Bredies; Dirk A. Lorenz; Peter Maass (Systems, Control, Modeling and Optimization, 2006)

Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints. - Kristian Bredies; Dirk A. Lorenz (SIAM J. Sci. Comput., 2008)

A generalized conditional gradient method and its connection to an iterative shrinkage method. - Kristian Bredies; Dirk A. Lorenz; Peter Maass (Comput. Optim. Appl., 2009)

Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates. - Bangti Jin; Dirk A. Lorenz (SIAM J. Numer. Anal., 2010)

On Conditions for Convergence to Consensus. - Jan Lorenz; Dirk A. Lorenz (IEEE Trans. Autom. Control., 2010)

Mathematische Bildverarbeitung - Einführung in Grundlagen und moderne Theorie. - Kristian Bredies; Dirk A. Lorenz (Vieweg+Teubner, 2011)

Image Sequence Interpolation Using Optimal Control. - Kanglin Chen; Dirk A. Lorenz (J. Math. Imaging Vis., 2011)

Morozov's Principle for the Augmented Lagrangian Method Applied to Linear Inverse Problems. - Klaus Frick; Dirk A. Lorenz; Elena Resmerita (Multiscale Model. Simul., 2011)

Image Sequence Interpolation Based on Optical Flow, Segmentation, and Optimal Control. - Kanglin Chen; Dirk A. Lorenz (IEEE Trans. Image Process., 2012)

Visualization of Astronomical Nebulae via Distributed Multi-GPU Compressed Sensing Tomography. - Stephan Wenger; Marco Ament; Stefan Guthe; Dirk A. Lorenz; Andreas M. Tillmann; Daniel Weiskopf; Marcus A. Magnor (IEEE Trans. Vis. Comput. Graph., 2012)

Variational Methods for Motion Deblurring with Still Background. - Eileen Laue; Dirk A. Lorenz (SSVM, 2013)

Fast Image-Based Modeling of Astronomical Nebulae. - Stephan Wenger; Dirk A. Lorenz; Marcus A. Magnor (Comput. Graph. Forum, 2013)

Constructing Test Instances for Basis Pursuit Denoising. - Dirk A. Lorenz (IEEE Trans. Signal Process., 2013)

A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing. - Dirk A. Lorenz; Stephan Wenger; Frank Schöpfer; Marcus A. Magnor (ICIP, 2014)

An infeasible-point subgradient method using adaptive approximate projections. - Dirk A. Lorenz; Marc E. Pfetsch; Andreas M. Tillmann (Comput. Optim. Appl., 2014)

Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT. - Jakob Sauer Jørgensen; Christian Kruschel; Dirk A. Lorenz (CoRR, 2014)

An accelerated forward-backward algorithm for monotone inclusions. - Dirk A. Lorenz; Thomas Pock (CoRR, 2014)

Imaging with Kantorovich-Rubinstein Discrepancy. - Jan Lellmann; Dirk A. Lorenz; Carola-Bibiane Schönlieb; Tuomo Valkonen (SIAM J. Imaging Sci., 2014)

The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations. - Dirk A. Lorenz; Frank Schöpfer; Stephan Wenger (SIAM J. Imaging Sci., 2014)

Cartoon-Texture-Noise Decomposition with Transport Norms. - Christoph Brauer; Dirk A. Lorenz (SSVM, 2015)

Computing and analyzing recoverable supports for sparse reconstruction. - Christian Kruschel; Dirk A. Lorenz (Adv. Comput. Math., 2015)

An Inertial Forward-Backward Algorithm for Monotone Inclusions. - Dirk A. Lorenz; Thomas Pock (J. Math. Imaging Vis., 2015)

Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding. - Kristian Bredies; Dirk A. Lorenz; Stefan Reiterer (J. Optim. Theory Appl., 2015)

Solving Basis Pursuit: Heuristic Optimality Check and Solver Comparison. - Dirk A. Lorenz; Marc E. Pfetsch; Andreas M. Tillmann (ACM Trans. Math. Softw., 2015)

Sparse reconstruction of quantized speech signals. - Christoph Brauer; Timo Gerkmann; Dirk A. Lorenz (ICASSP, 2016)

A Primal-Dual Homotopy Algorithm for ℓ1-Minimization with ℓ∞-Constraints. - Christoph Brauer; Dirk A. Lorenz; Andreas M. Tillmann (CoRR, 2016)

Denoising of Image Gradients and Constrained Total Generalized Variation. - Birgit Komander; Dirk A. Lorenz (SSVM, 2017)

A primal-dual homotopy algorithm for ( ell _{1} ) -minimization with ( ell _{ infty } ) -constraints. - Christoph Brauer; Dirk A. Lorenz; Andreas M. Tillmann (Comput. Optim. Appl., 2018)

The Randomized Kaczmarz Method with Mismatched Adjoint. - Dirk A. Lorenz; Sean Rose; Frank Schöpfer (CoRR, 2018)

Primal-dual residual networks. - Christoph Brauer; Dirk A. Lorenz (CoRR, 2018)

An Extended Perona-Malik Model Based on Probabilistic Models. - Lars M. Mescheder; Dirk A. Lorenz (J. Math. Imaging Vis., 2018)

Learning to Dequantize Speech Signals by Primal-dual Networks: an Approach for Acoustic Sensor Networks. - Christoph Brauer; Ziyue Zhao; Dirk A. Lorenz; Tim Fingscheidt (ICASSP, 2019)

Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence. - Dirk A. Lorenz; Quoc Tran-Dinh (Comput. Optim. Appl., 2019)

Denoising of Image Gradients and Total Generalized Variation Denoising. - Birgit Komander; Dirk A. Lorenz; Lena Vestweber (J. Math. Imaging Vis., 2019)

Linear convergence of the randomized sparse Kaczmarz method. - Frank Schöpfer; Dirk A. Lorenz (Math. Program., 2019)

Regularization of Inverse Problems by Filtered Diagonal Frame Decomposition. - Andrea Ebner; Jürgen Frikel; Dirk A. Lorenz; Johannes Schwab; Markus Haltmeier (CoRR, 2020)

Nonconvex flexible sparsity regularization: theory and monotone numerical schemes. - Daria Ghilli; Dirk A. Lorenz; Elena Resmerita (CoRR, 2021)

Group equivariant networks for leakage detection in vacuum bagging. - Christoph Brauer; Dirk A. Lorenz; Lionel Tondji (EUSIPCO, 2022)

Chambolle-Pock's Primal-Dual Method with Mismatched Adjoint. - Dirk A. Lorenz; Felix Schneppe (CoRR, 2022)

Extended Randomized Kaczmarz Method for Sparse Least Squares and Impulsive Noise Problems. - Frank Schöpfer; Dirk A. Lorenz; Lionel Tondji; Maximilian Winkler (CoRR, 2022)

Damage Identification in Fiber Metal Laminates using Bayesian Analysis with Model Order Reduction. - Nanda Kishore Bellam Muralidhar; Carmen Gräßle; Natalie Rauter; Andrey Mikhaylenko; Rolf Lammering; Dirk A. Lorenz (CoRR, 2022)

Learning Variational Models with Unrolling and Bilevel Optimization. - Christoph Brauer; Niklas Breustedt; Timo de Wolff; Dirk A. Lorenz (CoRR, 2022)

Degenerate Preconditioned Proximal Point Algorithms. - Kristian Bredies; Enis Chenchene; Dirk A. Lorenz; Emanuele Naldi (SIAM J. Optim., 2022)

An accelerated randomized Bregman-Kaczmarz method for strongly convex linearly constraint optimization. - Lionel Tondji; Dirk A. Lorenz; Ion Necoara (ECC, 2023)

Asymptotic Analysis and Truncated Backpropagation for the Unrolled Primal-Dual Algorithm. - Christoph Brauer; Dirk A. Lorenz (EUSIPCO, 2023)

Linearly convergent adjoint free solution of least squares problems by random descent. - Dirk A. Lorenz; Felix Schneppe; Lionel Tondji (CoRR, 2023)

On the Interplay of Subset Selection and Informed Graph Neural Networks. - Niklas Breustedt; Paolo Climaco; Jochen Garcke; Jan Hamaekers; Gitta Kutyniok; Dirk A. Lorenz; Rick Oerder; Chirag Varun Shukla (CoRR, 2023)

Minimal error momentum Bregman-Kaczmarz. - Dirk A. Lorenz; Maximilian Winkler (CoRR, 2023)

Adaptive Bregman-Kaczmarz: An Approach to Solve Linear Inverse Problems with Independent Noise Exactly. - Lionel Tondji; Idriss Tondji; Dirk A. Lorenz (CoRR, 2023)

Acceleration and restart for the randomized Bregman-Kaczmarz method. - Lionel Tondji; Ion Necoara; Dirk A. Lorenz (CoRR, 2023)

Faster randomized block sparse Kaczmarz by averaging. - Lionel Tondji; Dirk A. Lorenz (Numer. Algorithms, 2023)

On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations. - Antonio Leitão; Joel C. Rabelo; Dirk A. Lorenz; Maximilian Winkler (CoRR, 2024)

Matrix-free stochastic calculation of operator norms without using adjoints. - Jonas Bresch; Dirk A. Lorenz; Felix Schneppe; Maximilian Winkler (CoRR, 2024)

A Bregman-Kaczmarz method for nonlinear systems of equations. - Robert M. Gower; Dirk A. Lorenz; Maximilian Winkler (Comput. Optim. Appl., 2024)

Correction: A Bregman-Kaczmarz method for nonlinear systems of equations. - Robert Mansel Gower; Dirk A. Lorenz; Maximilian Winkler (Comput. Optim. Appl., 2024)

Computing adjoint mismatch of linear maps. - Jonas Bresch; Dirk A. Lorenz; Felix Schneppe; Maximilian Winkler (CoRR, 2025)