Sep 2024 // journal-article
Adaptive Bregman–Kaczmarz: an approach to solve linear inverse problems with independent noise exactly
Inverse Problems
Lionel Tondji; Idriss Tondji; Dirk Lorenz
Jul 2024 // journal-article
Correction: A Bregman–Kaczmarz method for nonlinear systems of equations
Computational Optimization and Applications
Robert Gower; Dirk A. Lorenz; Maximilian Winkler
Apr 2024 // journal-article
A Bregman–Kaczmarz method for nonlinear systems of equations
Computational Optimization and Applications
Robert Gower; Dirk A. Lorenz; Maximilian Winkler
Apr 2024 // journal-article
Learning variational models with unrolling and bilevel optimization
Analysis and Applications
Christoph Brauer; Niklas Breustedt; Timo de Wolff; Dirk A. Lorenz
Dec 2023 // journal-article
Linearly convergent adjoint free solution of least squares problems by random descent
Inverse Problems
Dirk A Lorenz; Felix Schneppe; Lionel Tondji
Aug 2023 // journal-article
Faster randomized block sparse Kaczmarz by averaging
Numerical Algorithms
Lionel Tondji; Dirk A. Lorenz
Apr 2023 // journal-article
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint
Applied Mathematics & Optimization
Dirk A. Lorenz; Felix Schneppe
Jan 2023 // journal-article
Damage identification in fiber metal laminates using Bayesian analysis with model order reduction
Computer Methods in Applied Mechanics and Engineering
Nanda Kishore Bellam Muralidhar; Carmen Gräßle; Natalie Rauter; Andrey Mikhaylenko; Rolf Lammering; Dirk A. Lorenz
Nov 2022 // journal-article
Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems
Linear Algebra and its Applications
Frank Schöpfer; Dirk A. Lorenz; Lionel Tondji; Maximilian Winkler
Sep 2022 // journal-article
Degenerate Preconditioned Proximal Point Algorithms
SIAM Journal on Optimization
Kristian Bredies; Enis Chenchene; Dirk A. Lorenz; Emanuele Naldi
Jun 2022 // journal-article
Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction
Acoustics
Andrey Mikhaylenko; Natalie Rauter; Nanda Kishore Bellam Muralidhar; Tilmann Barth; Dirk A. Lorenz; Rolf Lammering
Jun 2022 // preprint
Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction
Andrey Mikhaylenko; Natalie Rauter; Nanda Kishore Bellam Muralidhar; Tilmann Barth; Dirk A. Lorenz; Rolf Lammering
Apr 2022 // journal-article
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes
Optimization
Daria Ghilli; Dirk A. Lorenz; Elena Resmerita
Apr 2022 // journal-article
Orlicz Space Regularization of Continuous Optimal Transport Problems
Applied Mathematics & Optimization
Dirk Lorenz; Hinrich Mahler
Nov 2021 // journal-article
Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage
Modelling
Nanda Kishore Bellam Muralidhar; Natalie Rauter; Andrey Mikhaylenko; Rolf Lammering; Dirk A. Lorenz
Sep 2021 // other
Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage
Nanda Kishore Bellam Muralidhar; Natalie Rauter; Andrey Mikhaylenko; Rolf Lammering; Dirk A. Lorenz
Jun 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
Jun 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.
DOI: 10.1007/978-3-319-58771-4_35
2017 // journal-article
Flexible sparse regularization
Inverse Problems
Lorenz, D.A.; Resmerita, E.
DOI: 10.1088/0266-5611/33/1/014002
