Publications of Judith Nickel

Articles (6)

1. M. Beckmann, J. Nickel.
   Optimized filter functions for filtered back projection reconstructions.
   Inverse Problems and Imaging, , 2025.

   DOI: 10.3934/ipi.2025003

2. C. Arndt, S. Dittmer, N. Heilenkötter, M. Iske, T. Kluth, J. Nickel.
   Bayesian view on the training of invertible residual networks for solving linear inverse problems.
   Inverse Problems, 40 045021 40(4), IOPscience, 2024.

   DOI: 10.1088/1361-6420/ad2aaa
   online at: https://www.x-mol.net/paper/article/1682514725633245184

3. C. Arndt, A. Denker, S. Dittmer, N. Heilenkötter, M. Iske, T. Kluth, P. Maaß, J. Nickel.
   Invertible residual networks in the context of regularization theory for linear inverse problems.
   Inverse Problems, 39(12), IOPscience, 2023.

   DOI: 10.1088/1361-6420/ad0660
   online at: https://iopscience.iop.org/article/10.1088/1361-6420/ad0660

4. C. Arndt, A. Denker, S. Dittmer, J. Leuschner, J. Nickel, M. Schmidt.
   Model-based deep learning approaches to the Helsinki Tomography Challenge 2022.
   Applied Mathematics for Modern Challenges, 1(2), 2023.

   DOI: 10.3934/ammc.2023007

5. C. Arndt, A. Denker, J. Nickel, J. Leuschner, M. Schmidt, G. Rigaud.
   In Focus - hybrid deep learning approaches to the HDC2021 challenge.
   Inverse Problems and Imaging, , 2022.

   DOI: 10.3934/ipi.2022061

6. M. Beckmann, P. Maaß, J. Nickel.
   Error analysis for filtered back projection reconstructions in Besov spaces.
   Inverse Problems, 37 014002 37(1), IOPscience, 2020.

Preprints (1)

1. C. Arndt, J. Nickel.
   Invertible ResNets for inverse imaging problems: Competitive performance with provable regularization properties.
   Zur Veröffentlichung eingereicht.

   online at: https://arxiv.org/abs/2409.13482