Publikationen der AG Inverse Probleme und Bildverarbeitung

Zeitschriftenartikel (7)

1. R. Gower, D. Lorenz, M. Winkler.
   A Bregman-Kaczmarz method for nonlinear systems of equations.
   Computational Optimization and Applications, 87:1059-1098, 2024.

   DOI: 10.1007/s10589-023-00541-9
   online unter: https://arxiv.org/abs/2303.08549

2. S. Banert, O. Öktem, J. Adler, J. Rudzusika.
   Accelerated Forward-Backward Optimization using Deep Learning.
   SIAM Journal on Optimization, 34(2), 2024.

   DOI: 10.1137/22M1532548
   online unter: https://arxiv.org/abs/2105.05210

3. L. Tondji, I. Necoara, D. Lorenz.
   Acceleration and restart for the randomized Bregman-Kaczmarz method.
   Linear Algebra and its Applications, 699:508-538, 2024.

   DOI: 10.1016/j.laa.2024.07.009
   online unter: https://arxiv.org/abs/2310.17338

4. L. Tondji, I. Tondji, D. Lorenz.
   Adaptive Bregman-Kaczmarz: An approach to solve linear inverse problems with independent noise exactly.
   Inverse Problems, 40(9), 095006, IOPscience, 2024.

   DOI: 10.1088/1361-6420/ad5fb1
   online unter: https://arxiv.org/abs/2309.06186

5. C. Brauer, N. Breustedt, T. de Wolff, D. Lorenz.
   Learning variational models with unrolling and bilevel optimization.
   Analysis and Applications, 22(3):569-617, World Scientific, 2024.

   DOI: 10.1142/S0219530524400037
   online unter: https://arxiv.org/abs/2209.12651

6. D. Nganyu Tanyu, I. Michel, A. Rademacher, J. Kuhnert, P. Maaß.
   Parameter Identification by Deep Learning of a Material Model for Granular Media.
   GEM -- International Journal on Geomathematics, 15(13), 2024.

   DOI: 10.1007/s13137-024-00253-0
   online unter: https://arxiv.org/abs/2307.04166

7. D. Lorenz, J. Marquardt, E. Naldi.
   The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal-dual Douglas-Rachford.
   Optimization, :1-27, Taylor & Francis, 2024.

   DOI: 10.1080/02331934.2024.2325552
   online unter: https://arxiv.org/abs/2302.13128

Qualifikationsarbeiten (2)

1. L. Tondji.
   Advances in Bregman-Kaczmarz Methods: Accelerations and Inconsistency.
   Dissertationsschrift, TU Braunschweig, 2024.
2. M. Winkler.
   The Bregman-Kaczmarz Method: Inconsistency, Acceleration and Nonlinearity.
   Dissertationsschrift, TU Braunschweig, 2024.

Preprints (3)

1. M. M. Alves, D. Lorenz, E. Naldi.
   A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods.
   Zur Veröffentlichung eingereicht.

   online unter: https://arxiv.org/abs/2407.05893

2. J. Bresch, D. Lorenz, F. Schneppe, M. Winkler.
   Matrix-free stochastic calculation of operator norms without using adjoints.
   Zur Veröffentlichung eingereicht.

   online unter: https://arxiv.org/abs/2410.08297

3. D. Lorenz, M. Winkler, A. Leitão, J. C. Rabelo.
   On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations.
   Zur Veröffentlichung eingereicht.

   online unter: https://arxiv.org/abs/2406.07044