Leon Bungert

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Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks

Guy Gilboa, N. Papadakis, Leon Bungert, 2020, SIAM J. Imaging Sci..

Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals

A. Chambolle, M. Novaga, M. Burger, 2019, Analysis & PDE.

Localization of Passive 3-D Coils as an Inverse Problem: Theoretical Analysis and a Numerical Method

H. Brauer, Leon Bungert, Martin Doß, 2020, IEEE Transactions on Magnetics.

Structural analysis of an L-infinity variational problem and relations to distance functions

M. Burger, Leon Bungert, Yury Korolev, 2020, 2001.07411.

Improving Robustness against Real-World and Worst-Case Distribution Shifts through Decision Region Quantification

Doina Precup, B. Eskofier, Leon Bungert, 2022, ICML.

Uniform Convergence Rates for Lipschitz Learning on Graphs

Leon Bungert, J. Calder, Tim Roith, 2021, ArXiv.

Eigenvalue Problems in $\mathrm{L}^\infty$: Optimality Conditions, Duality, and Relations with Optimal Transport

Leon Bungert, Yury Korolev, 2021, 2107.12117.

A Bregman Learning Framework for Sparse Neural Networks

M. Burger, Leon Bungert, Daniel Tenbrinck, 2021, J. Mach. Learn. Res..

Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks

Guy Gilboa, N. Papadakis, Leon Bungert, 2020, SIAM J. Imaging Sci..

Eigenvalue Problems in $\mathrm{L}^\infty$: Optimality Conditions, Duality, and Relations with Optimal Transport

Leon Bungert, Yury Korolev, 2021, 2107.12117.

Ratio convergence rates for Euclidean first-passage percolation: Applications to the graph infinity Laplacian

Leon Bungert, J. Calder, Tim Roith, 2022, ArXiv.

Polarized consensus-based dynamics for optimization and sampling

Leon Bungert, Philipp Wacker, Tim Roith, 2022, 2211.05238.

Complete Deterministic Dynamics and Spectral Decomposition of the Linear Ensemble Kalman Inversion

Leon Bungert, Philipp Wacker, 2021, SIAM/ASA J. Uncertain. Quantification.

Complete Deterministic Dynamics and Spectral Decomposition of the Ensemble Kalman Inversion

Leon Bungert, Philipp Wacker, 2021 .

Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning

Leon Bungert, Kerrek Stinson, 2022, ArXiv.

The Geometry of Adversarial Training in Binary Classification

Leon Bungert, Ryan W. Murray, N. G. Trillos, 2021, ArXiv.

Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctions

Martin Burger, Leon Bungert, M. Burger, 2021, Handbook of Numerical Analysis.

Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport

Leon Bungert, Yury Korolev, 2021, Communications of the American Mathematical Society.

Continuum Limit of Lipschitz Learning on Graphs

Leon Bungert, Tim Roith, 2020, Foundations of Computational Mathematics.

Uniform Convergence Rates for Lipschitz Learning on Graphs

Leon Bungert, J. Calder, Tim Roith, 2021, ArXiv.

A Discontinuous Galerkin Method for the Subjective Surfaces Problem

Michael Fried, Vadym Aizinger, Leon Bungert, 2016, Journal of Mathematical Imaging and Vision.

Solution paths of variational regularization methods for inverse problems

Martin Burger, Leon Bungert, M. Burger, 2018, Inverse Problems.

Blind image fusion for hyperspectral imaging with the directional total variation pdf

Carola-Bibiane Schönlieb, Leon Bungert, David A. Coomes, 2017, ArXiv.

The Infinity Laplacian eigenvalue problem: reformulation and a numerical scheme

Farid Bozorgnia, Leon Bungert, Daniel Tenbrinck, 2020, ArXiv.

Polarized consensus-based dynamics for optimization and sampling

Leon Bungert, Philipp Wacker, Tim Roith, 2022, ArXiv.

CLIP: Cheap Lipschitz Training of Neural Networks

Leon Bungert, Daniel Tenbrinck, Leo Schwinn, 2021, SSVM.

Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem

Michael Fried, Vadym Aizinger, Leon Bungert, 2018, Comput. Vis. Sci..

Robust Image Reconstruction With Misaligned Structural Information

Matthias Joachim Ehrhardt, Leon Bungert, 2020, IEEE Access.

Variational regularisation for inverse problems with imperfect forward operators and general noise models

M. Burger, Leon Bungert, C. Schoenlieb, 2020, Inverse problems.

The convergence rate of $p$-harmonic to infinity-harmonic functions

Leon Bungert, 2023, 2302.08462.

It begins with a boundary: A geometric view on probabilistically robust learning

Leon Bungert, Daniel Mckenzie, M. Jacobs, 2023, ArXiv.

Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning

Leon Bungert, Kerrek Stinson, 2022, ArXiv.

Identifying Untrustworthy Predictions in Neural Networks by Geometric Gradient Analysis

Martin Burger, Leon Bungert, Dario Zanca, 2021, UAI.

Neural Architecture Search via Bregman Iterations pdf

Leon Bungert, Daniel Tenbrinck, Tim Roith, 2021, ArXiv.

Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctions

M. Burger, Leon Bungert, 2021, Handbook of Numerical Analysis.

Computing Nonlinear Eigenfunctions via Gradient Flow Extinction

Martin Burger, Leon Bungert, Daniel Tenbrinck, 2019, SSVM.

Complete Dynamics and Spectral Decomposition of the Ensemble Kalman Inversion pdf

Leon Bungert, Philipp Wacker, Leon Bungert, 2021, ArXiv.