Publications of AG Inverse Problems and Imaging

Articles (7)

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.
   Computational Optimization and Applications, , 2025.

   DOI: 10.1007/s10589-025-00740-6
   online at: https://arxiv.org/abs/2407.05893

2. M. Upadhyaya, S. Banert, A. B. Taylor, P. Giselsson.
   Automated tight Lyapunov analysis for first-order methods.
   Mathematical Programming, 209:133-170, 2025.

   DOI: 10.1007/s10107-024-02061-8
   online at: https://arxiv.org/abs/2302.06713

3. F. Schneppe.
   Die Tücken der Geschwindigkeit.
   Mitteilungen der Deutschen Mathematiker-Vereinigung, 33(4):253 - 258, 2025.

   DOI: 10.1515/dmvm-2025-0074

4. D. Lorenz, M. Winkler.
   Minimal error momentum Bregman-Kaczmarz.
   Linear Algebra and its Applications, 709:416-448, Elsevier, 2025.

   DOI: 10.1016/j.laa.2025.01.024
   online at: https://arxiv.org/abs/2307.15435

5. D. Lorenz, E. Bednarczuk, T. H. Tran.
   Proximal Algorithms for a class of abstract convex functions.
   Set-Valued and Variational Analysis, 33(5):1-44, Springer Verlag, 2025.

   DOI: 10.1007/s11228-025-00743-9
   online at: https://arxiv.org/abs/2402.17072

6. S. Banert, P. Giselsson, M. Upadhyaya.
   The Chambolle-Pock method converges weakly with $\theta>1/2$ and $\tau \sigma \|L\|^2 < 4 /(1+2 \theta)$.
   Optimization Letters, , Springer Verlag, 2025.

   DOI: 10.1007/s11590-025-02250-0

7. D. Lorenz, J. Marquardt, E. Naldi.
   The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal-dual Douglas-Rachford.
   Optimization, 74(6), 1355–1381, Taylor & Francis, 2025.

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

Book Chapters (2)

1. N. Breustedt, P. Climaco, J. Garcke, J. Hamaekers, D. Lorenz, G. Kutyniok, R. Oerder, C. V. Shukla.
   On the interplay of subset selection and informed graph neural networks.
   Informed Machine Learning, D. Schulz, C. Bauckhage (Eds.), Springer Verlag, 2025.

   DOI: 10.1007/978-3-031-83097-6
   online at: https://arxiv.org/abs/2306.10066

2. M. Beckmann, J. Jeschke.
   Orthogonal Matching Pursuit based Reconstruction for Modulo Hysteresis Operators.
   2025 International Conference on Sampling Theory and Applications (SampTA), 2025 International Conference on Sampling Theory and Applications (SampTA)}, IEEE, 2025.

   DOI: 10.1109/SampTA64769.2025.11133522

PhD/Habilitation Thesis (2)

1. F. Schneppe.
   Abweichungen in der Adjungierten im Kontext von primal-dualen Algorithmen.
   Dissertationsschrift, TU Braunschweig, 2025.
2. E. Naldi.
   Investigating Degenerate Preconditioners for Proximal Point Algorithms.
   Dissertationsschrift, TU Braunschweig, 2025.