Publications

Dissertation

• 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.

Articles

• 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.

Pre-print

• Generalization of Zeroth-Order Method for Quotients of Quadratic Functions,
  J. Bresch,
  submitted to J. Optim. Theory Appl. 29th April, 2026.
• A Discrete Radon Transform Based on the Area of Cube-Plane Intersection,
  R. Beinert, J. Bresch, M. Quellmalz,
  submitted to IEEE Trans. Image Process. 13th March, 2026.
• Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients,
  J. Bresch, O. Melnyk, M. Schoen, G. Steidl,
  submitted to Linear Algebra Appl. 1st November, 2025.
• Generalizations of the Normalized Radon Cumulative Distribution Transform for Limited Data Recognition,
  M. Beckmann, R. Beinert, J. Bresch,
  submitted to J. Math. Imaging Vis. 30th September, 2025.
• Unsupervised Ground Metrik Learning,
  J. Auffenberg, J. Bresch, O. Melnyk, G. Steidl,
  submitted to Constr. Approx. 16th July, 2025.
• Denoising Multi-Color QR Codes and Stiefel-Valued Data by Relaxed Regularizations,
  R. Beinert, J. Bresch,
  submitted to Proc. Appl. Math. Mech. 28th June, 2025, published.
• Normalized Radon Cumulative Distribution Transforms for Invariance and Robustness in Optimal Transport Based Image Classification,
  M. Beckmann, R. Beinert, J. Bresch,
  submitted to SIAM J. Imaging Sci. 10th June, 2025, accepted.
• Computing adjoint mismatch of linear maps,
  J. Bresch, D. A. Lorenz, F. Schneppe, M. Winkler
  submitted to J. Comput. Appl. Math. 27th March, 2025.
• Max-Normalized Radon Cumulative Distribution Transform for Limited Data Classification,
  M. Beckmann, R. Beinert, J. Bresch,
  submitted to SSVM, Lect. Notes Comput. Sci. 2025 25th November, 2024, published.
• Denoising Hyperbolic-Valued Data by Relaxed Regularizations,
  R. Beinert, J. Bresch,
  submitted to SSVM, Lect. Notes Comput. Sci. 2025 21th October, 2024, published.
• Matrix-free stochastic calculation of operator norms without using adjoints,
  J. Bresch, D. A. Lorenz, F. Schneppe, M. Winkler
  submitted to SIAM J. Matrix Anal. Appl. 10th October, 2024, accepted.
• Interpolating between Optimal Transport and KL regularized Optimal Transport using Rényi Divergences,
  J. Bresch, V. Stein
  submitted to Results Math. 29th April, 2024, published.
• Denoising of Sphere-Valued Data by Relaxed Total Variation Regularization,
  R. Beinert, J. Bresch,
  submitted to Proc. Appl. Math. Mech. 19th April, 2024, published.
• Denoising of Sphere- and SO(3)-Valued Data by Relaxed Tikhonov Regularization,
  R. Beinert, J. Bresch, G. Steidl,
  submitted to Inverse Probl. Imag. 20th July, 2023, published.

jonas.bresch (at) math.lmu.de

+49(0)89 2180 4474

Institute of Mathematics
Chair for Mathematical Foundations of Artificial Intelligence
Ludwig-Maximilians-Universität München
Akademiestraße 7
511
Munich, Germany

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