Publikationen der AG Inverse Probleme und Bildverarbeitung

Zeitschriftenartikel (6)

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. 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

3. 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

4. M. Upadhyaya, S. Banert, A. B. Taylor, P. Giselsson.
   Automated tight Lyapunov analysis for first-order methods.
   Erscheint in Mathematical Programming

   online unter: https://arxiv.org/abs/2302.06713

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. 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

Preprints (2)

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. 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