24 citations · 75 across the 13 of their papers we have counts for
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math.AP2022★ 5 cited
Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning
Leon Bungert, Kerrek Stinson
In this paper we prove Gamma-convergence of a nonlocal perimeter of Minkowski type to a local anisotropic perimeter. The nonlocal model describes the regularizing effect of adversa…
math.OC2022★ 10 cited
Polarized consensus-based dynamics for optimization and sampling
Leon Bungert, Tim Roith, Philipp Wacker
In this paper we propose polarized consensus-based dynamics in order to make consensus-based optimization (CBO) and sampling (CBS) applicable for objective functions with several g…
math.PR2022★ 4 cited
Ratio convergence rates for Euclidean first-passage percolation: Applications to the graph infinity Laplacian
Leon Bungert, Jeff Calder, Tim Roith
In this paper we prove the first quantitative convergence rates for the graph infinity Laplace equation for length scales at the connectivity threshold. In the graph-based semi-sup…