THEORY · ALGORITHMS · APPLICATIONS

Publications

• Geometry-Aware Ansätze in Image Processing and Stochastic Calculations of Matrix Quantities,
  J. Bresch,
  Dissertation, submitted December 2025, devended April 2026, accepted May 2026, open access May 2026,
  supervised by G. Steidl, reviewed by G. Steidl, M. Stoll, E. Chouzenoux, chaired by J. M. Sullivan.

• Generalizations of the Normalized Radon Cumulative Distribution Transform for Limited Data Recognition,
  M. Beckmann, R. Beinert, J. Bresch
  J. Math. Imaging Vis., vol. 68, no. 45, accepted June 2026, open access July 2026, published September 2026.
• Matrix-Free Stochastic Calculation of Operator Norms Without Using Adjoints,
  J. Bresch, D. A. Lorenz, F. Schneppe, M. Winkler
  SIAM J. Matrix Anal. Appl., vol. 47 (3) 1349--1374, accepted March 2026, open access July 2026, published September 2026.
• Computing Adjoint Mismatch of Linear Maps,
  J. Bresch, D. A. Lorenz, F. Schneppe, M. Winkler
  J. Comput. Appl. Math., vol. 488, 117853, accepted March 2026, open access June 2026, published December 2026.
• Normalized Radon Cumulative Distribution Transforms for Invariance and Robustness in Optimal Transport Based Image Classification,
  M. Beckmann, R. Beinert, J. Bresch,
  SIAM J. Imaging Sci., vol. 19 (2) 677--709, accepted February 2026, open access April 2026.
• Denoising Manifold-Valued Data by Relaxed Regularizations,
  J. Bresch,
  Oberwolfach Rep., vol. 22 (4), accepted December 2025, open access March 2026.
• Denoising Multi-Color QR Codes and Stiefel-Valued Data by Relaxed Regularizations,
  R. Beinert, J. Bresch,
  Proc. Appl. Math. Mech., vol. 26 (1), accepted December 2025, open access January 2026.
• Interpolating between Optimal Transport and KL regularized Optimal Transport using Rényi Divergences,
  J. Bresch, V. Stein
  Results Math., vol. 81 (23), accepted November 2025, published December 2025.
• Max-Normalized Radon Cumulative Distribution Transform for Limited Data Classification,
  M. Beckmann, R. Beinert, J. Bresch,
  SSVM, Lect. Notes Comput. Sci. 2025, vol. 15667, revised November 2024, open access May 2025.
• Denoising Hyperbolic-Valued Data by Relaxed Regularizations,
  R. Beinert, J. Bresch,
  SSVM, Lect. Notes Comput. Sci. 2025, vol. 15667, revised November 2024, open access May 2025.
• Denoising sphere-valued data by relaxed total variation regularization,
  R. Beinert, J. Bresch,
  Proc. Appl. Math. Mech., vol. 24 (4), revised September 2024, open access October 2024.
• Denoising of Sphere- and SO(3)-Valued Data by Relaxed Tikhonov Regularization,
  R. Beinert, J. Bresch, G. Steidl,
  Inverse Probl. Imag., vol. 19 (1), revised May 2024, early access June 2024, published February 2025.

Dates below are the first arXiv submissions (version 1), including preprints subsequently published.

• Generalization of Zeroth-Order Method for Quotients of Quadratic Functions,
  J. Bresch,
  arXiv version 1: 29 April 2026.
• A Discrete Radon Transform Based on the Area of Cube-Plane Intersection,
  R. Beinert, J. Bresch, M. Quellmalz,
  arXiv version 1: 13 March 2026.
• Generalizations of the Normalized Radon Cumulative Distribution Transform for Limited Data Recognition,
  M. Beckmann, R. Beinert, J. Bresch,
  arXiv version 1: 8 December 2025.
• Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients,
  J. Bresch, O. Melnyk, M. Schoen, G. Steidl,
  arXiv version 1: 5 December 2025.
• Unsupervised Ground Metric Learning,
  J. Auffenberg, J. Bresch, O. Melnyk, G. Steidl,
  arXiv version 1: 17 July 2025.
• Denoising Multi-Color QR Codes and Stiefel-Valued Data by Relaxed Regularizations,
  R. Beinert, J. Bresch,
  arXiv version 1: 28 June 2025.
• Normalized Radon Cumulative Distribution Transforms for Invariance and Robustness in Optimal Transport Based Image Classification,
  M. Beckmann, R. Beinert, J. Bresch,
  arXiv version 1: 10 June 2025.
• Computing adjoint mismatch of linear maps,
  J. Bresch, D. A. Lorenz, F. Schneppe, M. Winkler
  arXiv version 1: 27 March 2025.
• Max-Normalized Radon Cumulative Distribution Transform for Limited Data Classification,
  M. Beckmann, R. Beinert, J. Bresch,
  arXiv version 1: 25 November 2024.
• Denoising Hyperbolic-Valued Data by Relaxed Regularizations,
  R. Beinert, J. Bresch,
  arXiv version 1: 21 October 2024.
• Matrix-free stochastic calculation of operator norms without using adjoints,
  J. Bresch, D. A. Lorenz, F. Schneppe, M. Winkler
  arXiv version 1: 10 October 2024.
• Interpolating between Optimal Transport and KL regularized Optimal Transport using Rényi Divergences,
  J. Bresch, V. Stein
  arXiv version 1: 29 April 2024.
• Denoising of Sphere-Valued Data by Relaxed Total Variation Regularization,
  R. Beinert, J. Bresch,
  arXiv version 1: 19 April 2024.
• Denoising of Sphere- and SO(3)-Valued Data by Relaxed Tikhonov Regularization,
  R. Beinert, J. Bresch, G. Steidl,
  arXiv version 1: 20 July 2023.