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Dirk A. Lorenz
Person information
- affiliation: Universität Bremen, Germany
- affiliation (former): Technische Universität Braunschweig, Germany
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2020 – today
- 2024
- [j26]Robert M. Gower
, Dirk A. Lorenz
, Maximilian Winkler
:
A Bregman-Kaczmarz method for nonlinear systems of equations. Comput. Optim. Appl. 87(3): 1059-1098 (2024) - [j25]Robert Mansel Gower
, Dirk A. Lorenz
, Maximilian Winkler
:
Correction: A Bregman-Kaczmarz method for nonlinear systems of equations. Comput. Optim. Appl. 88(3): 999-1000 (2024) - [i28]Antonio Leitão, Joel C. Rabelo, Dirk A. Lorenz, Maximilian Winkler:
On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations. CoRR abs/2406.07044 (2024) - 2023
- [j24]Lionel Tondji
, Dirk A. Lorenz
:
Faster randomized block sparse Kaczmarz by averaging. Numer. Algorithms 93(4): 1417-1451 (2023) - [c10]Lionel Tondji, Dirk A. Lorenz, Ion Necoara:
An accelerated randomized Bregman-Kaczmarz method for strongly convex linearly constraint optimization. ECC 2023: 1-6 - [c9]Christoph Brauer, Dirk A. Lorenz:
Asymptotic Analysis and Truncated Backpropagation for the Unrolled Primal-Dual Algorithm. EUSIPCO 2023: 860-864 - [i27]Robert M. Gower, Dirk A. Lorenz, Maximilian Winkler:
A Bregman-Kaczmarz method for nonlinear systems of equations. CoRR abs/2303.08549 (2023) - [i26]Dirk A. Lorenz, Felix Schneppe, Lionel Tondji:
Linearly convergent adjoint free solution of least squares problems by random descent. CoRR abs/2306.01946 (2023) - [i25]Niklas Breustedt, Paolo Climaco, Jochen Garcke, Jan Hamaekers, Gitta Kutyniok, Dirk A. Lorenz, Rick Oerder, Chirag Varun Shukla
:
On the Interplay of Subset Selection and Informed Graph Neural Networks. CoRR abs/2306.10066 (2023) - [i24]Dirk A. Lorenz, Maximilian Winkler:
Minimal error momentum Bregman-Kaczmarz. CoRR abs/2307.15435 (2023) - [i23]Lionel Tondji, Idriss Tondji, Dirk A. Lorenz:
Adaptive Bregman-Kaczmarz: An Approach to Solve Linear Inverse Problems with Independent Noise Exactly. CoRR abs/2309.06186 (2023) - [i22]Lionel Tondji, Ion Necoara, Dirk A. Lorenz:
Acceleration and restart for the randomized Bregman-Kaczmarz method. CoRR abs/2310.17338 (2023) - 2022
- [j23]Kristian Bredies
, Enis Chenchene, Dirk A. Lorenz
, Emanuele Naldi
:
Degenerate Preconditioned Proximal Point Algorithms. SIAM J. Optim. 32(3): 2376-2401 (2022) - [c8]Christoph Brauer, Dirk A. Lorenz, Lionel Tondji:
Group equivariant networks for leakage detection in vacuum bagging. EUSIPCO 2022: 1437-1441 - [i21]Dirk A. Lorenz, Felix Schneppe:
Chambolle-Pock's Primal-Dual Method with Mismatched Adjoint. CoRR abs/2201.04928 (2022) - [i20]Frank Schöpfer, Dirk A. Lorenz, Lionel Tondji, Maximilian Winkler:
Extended Randomized Kaczmarz Method for Sparse Least Squares and Impulsive Noise Problems. CoRR abs/2201.08620 (2022) - [i19]Lionel Tondji, Dirk A. Lorenz:
Faster Randomized Block Sparse Kaczmarz by Averaging. CoRR abs/2203.10838 (2022) - [i18]Nanda Kishore Bellam Muralidhar, Carmen Gräßle, Natalie Rauter, Andrey Mikhaylenko, Rolf Lammering, Dirk A. Lorenz:
Damage Identification in Fiber Metal Laminates using Bayesian Analysis with Model Order Reduction. CoRR abs/2206.04329 (2022) - [i17]Christoph Brauer, Niklas Breustedt, Timo de Wolff, Dirk A. Lorenz:
Learning Variational Models with Unrolling and Bilevel Optimization. CoRR abs/2209.12651 (2022) - 2021
- [i16]Daria Ghilli, Dirk A. Lorenz, Elena Resmerita:
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes. CoRR abs/2111.06281 (2021) - 2020
- [i15]Andrea Ebner, Jürgen Frikel, Dirk A. Lorenz, Johannes Schwab, Markus Haltmeier:
Regularization of Inverse Problems by Filtered Diagonal Frame Decomposition. CoRR abs/2008.06219 (2020)
2010 – 2019
- 2019
- [j22]Dirk A. Lorenz
, Quoc Tran-Dinh:
Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence. Comput. Optim. Appl. 74(1): 67-92 (2019) - [j21]Birgit Komander, Dirk A. Lorenz, Lena Vestweber:
Denoising of Image Gradients and Total Generalized Variation Denoising. J. Math. Imaging Vis. 61(1): 21-39 (2019) - [j20]Frank Schöpfer, Dirk A. Lorenz:
Linear convergence of the randomized sparse Kaczmarz method. Math. Program. 173(1-2): 509-536 (2019) - [c7]Christoph Brauer, Ziyue Zhao
, Dirk A. Lorenz, Tim Fingscheidt
:
Learning to Dequantize Speech Signals by Primal-dual Networks: an Approach for Acoustic Sensor Networks. ICASSP 2019: 7000-7004 - 2018
- [j19]Christoph Brauer
, Dirk A. Lorenz
, Andreas M. Tillmann
:
A primal-dual homotopy algorithm for \(\ell _{1}\) -minimization with \(\ell _{\infty }\) -constraints. Comput. Optim. Appl. 70(2): 443-478 (2018) - [j18]Lars M. Mescheder, Dirk A. Lorenz
:
An Extended Perona-Malik Model Based on Probabilistic Models. J. Math. Imaging Vis. 60(1): 128-144 (2018) - [i14]Dirk A. Lorenz, Sean Rose, Frank Schöpfer:
The Randomized Kaczmarz Method with Mismatched Adjoint. CoRR abs/1803.02848 (2018) - [i13]Christoph Brauer, Dirk A. Lorenz:
Primal-dual residual networks. CoRR abs/1806.05823 (2018) - 2017
- [c6]Birgit Komander
, Dirk A. Lorenz
:
Denoising of Image Gradients and Constrained Total Generalized Variation. SSVM 2017: 435-446 - [i12]Birgit Komander, Dirk A. Lorenz, Lena Vestweber:
Denoising of image gradients and total generalized variation denoising. CoRR abs/1712.08585 (2017) - 2016
- [c5]Christoph Brauer, Timo Gerkmann
, Dirk A. Lorenz
:
Sparse reconstruction of quantized speech signals. ICASSP 2016: 5940-5944 - [i11]Frank Schöpfer, Dirk A. Lorenz:
Linear convergence of the Randomized Sparse Kaczmarz Method. CoRR abs/1610.02889 (2016) - [i10]Christoph Brauer, Dirk A. Lorenz, Andreas M. Tillmann:
A Primal-Dual Homotopy Algorithm for ℓ1-Minimization with ℓ∞-Constraints. CoRR abs/1610.10022 (2016) - [i9]Lars M. Mescheder, Dirk A. Lorenz:
An extended Perona-Malik model based on probabilistic models. CoRR abs/1612.06176 (2016) - 2015
- [j17]Christian Kruschel, Dirk A. Lorenz
:
Computing and analyzing recoverable supports for sparse reconstruction. Adv. Comput. Math. 41(6): 1119-1144 (2015) - [j16]Dirk A. Lorenz
, Thomas Pock:
An Inertial Forward-Backward Algorithm for Monotone Inclusions. J. Math. Imaging Vis. 51(2): 311-325 (2015) - [j15]Kristian Bredies
, Dirk A. Lorenz
, Stefan Reiterer:
Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding. J. Optim. Theory Appl. 165(1): 78-112 (2015) - [j14]Dirk A. Lorenz
, Marc E. Pfetsch
, Andreas M. Tillmann
:
Solving Basis Pursuit: Heuristic Optimality Check and Solver Comparison. ACM Trans. Math. Softw. 41(2): 8:1-8:29 (2015) - [c4]Christoph Brauer, Dirk A. Lorenz
:
Cartoon-Texture-Noise Decomposition with Transport Norms. SSVM 2015: 142-153 - 2014
- [j13]Dirk A. Lorenz
, Marc E. Pfetsch
, Andreas M. Tillmann
:
An infeasible-point subgradient method using adaptive approximate projections. Comput. Optim. Appl. 57(2): 271-306 (2014) - [j12]Dirk A. Lorenz
, Frank Schöpfer, Stephan Wenger:
The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations. SIAM J. Imaging Sci. 7(2): 1237-1262 (2014) - [j11]Jan Lellmann, Dirk A. Lorenz
, Carola-Bibiane Schönlieb
, Tuomo Valkonen
:
Imaging with Kantorovich-Rubinstein Discrepancy. SIAM J. Imaging Sci. 7(4): 2833-2859 (2014) - [c3]Dirk A. Lorenz
, Stephan Wenger, Frank Schöpfer, Marcus A. Magnor
:
A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing. ICIP 2014: 1347-1351 - [i8]Dirk A. Lorenz, Thomas Pock:
An accelerated forward-backward algorithm for monotone inclusions. CoRR abs/1403.3522 (2014) - [i7]Dirk A. Lorenz, Stephan Wenger, Frank Schöpfer, Marcus A. Magnor:
A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing. CoRR abs/1403.7543 (2014) - [i6]Jan Lellmann, Dirk A. Lorenz, Carola Schönlieb, Tuomo Valkonen:
Imaging with Kantorovich-Rubinstein discrepancy. CoRR abs/1407.0221 (2014) - [i5]Jakob Sauer Jørgensen, Christian Kruschel, Dirk A. Lorenz:
Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT. CoRR abs/1409.0214 (2014) - 2013
- [j10]Stephan Wenger, Dirk A. Lorenz
, Marcus A. Magnor
:
Fast Image-Based Modeling of Astronomical Nebulae. Comput. Graph. Forum 32(7): 93-100 (2013) - [j9]Dirk A. Lorenz
:
Constructing Test Instances for Basis Pursuit Denoising. IEEE Trans. Signal Process. 61(5): 1210-1214 (2013) - [c2]Eileen Laue, Dirk A. Lorenz
:
Variational Methods for Motion Deblurring with Still Background. SSVM 2013: 74-85 - [i4]Dirk A. Lorenz, Frank Schöpfer, Stephan Wenger:
The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations. CoRR abs/1309.2094 (2013) - [i3]Christian Kruschel, Dirk A. Lorenz:
Computing and Analyzing Recoverable Supports for Sparse Reconstruction. CoRR abs/1309.2460 (2013) - 2012
- [j8]Kanglin Chen, Dirk A. Lorenz
:
Image Sequence Interpolation Based on Optical Flow, Segmentation, and Optimal Control. IEEE Trans. Image Process. 21(3): 1020-1030 (2012) - [j7]Stephan Wenger, Marco Ament, Stefan Guthe, Dirk A. Lorenz
, Andreas M. Tillmann, Daniel Weiskopf, Marcus A. Magnor
:
Visualization of Astronomical Nebulae via Distributed Multi-GPU Compressed Sensing Tomography. IEEE Trans. Vis. Comput. Graph. 18(12): 2188-2197 (2012) - 2011
- [b2]Kristian Bredies, Dirk A. Lorenz:
Mathematische Bildverarbeitung - Einführung in Grundlagen und moderne Theorie. Vieweg+Teubner 2011, ISBN 978-3-8348-1037-3, pp. I-X, 1-445 - [j6]Kanglin Chen, Dirk A. Lorenz
:
Image Sequence Interpolation Using Optimal Control. J. Math. Imaging Vis. 41(3): 222-238 (2011) - [j5]Klaus Frick, Dirk A. Lorenz
, Elena Resmerita:
Morozov's Principle for the Augmented Lagrangian Method Applied to Linear Inverse Problems. Multiscale Model. Simul. 9(4): 1528-1548 (2011) - [i2]Dirk A. Lorenz:
Constructing test instances for Basis Pursuit Denoising. CoRR abs/1103.2897 (2011) - 2010
- [j4]Bangti Jin, Dirk A. Lorenz
:
Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates. SIAM J. Numer. Anal. 48(3): 1208-1229 (2010) - [j3]Jan Lorenz
, Dirk A. Lorenz
:
On Conditions for Convergence to Consensus. IEEE Trans. Autom. Control. 55(7): 1651-1656 (2010) - [i1]Kanglin Chen, Dirk A. Lorenz:
Image sequence interpolation using optimal control. CoRR abs/1008.0548 (2010)
2000 – 2009
- 2009
- [j2]Kristian Bredies
, Dirk A. Lorenz
, Peter Maass
:
A generalized conditional gradient method and its connection to an iterative shrinkage method. Comput. Optim. Appl. 42(2): 173-193 (2009) - 2008
- [j1]Kristian Bredies
, Dirk A. Lorenz
:
Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints. SIAM J. Sci. Comput. 30(2): 657-683 (2008) - 2006
- [c1]Kristian Bredies
, Dirk A. Lorenz
, Peter Maass
:
An Optimal Control Problem in Medical Image Processing. Systems, Control, Modeling and Optimization 2006: 249-259 - 2004
- [b1]Dirk A. Lorenz:
Wavelet shrinkage in signal & image processing: an investigation of relations and equivalences. University of Bremen, Germany, 2004, pp. 1-98
Coauthor Index
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