24 citations · 75 across the 13 of their papers we have counts for
5 papers · 1 filter
Quantifying Concentration Phenomena of Mean-Field Transformers in the Low-Temperature Regime
Albert Alcalde, Leon Bungert, Konstantin Riedl +1
Transformers with self-attention modules as their core components have become an integral architecture in modern large language and foundation models. In this paper, we study the e…
Duality for the Adversarial Total Variation
Leon Bungert, Lucas Schmitt
Adversarial training of binary classifiers can be reformulated as regularized risk minimization involving a nonlocal total variation. Building on this perspective, we establish a c…
Convergence rates for Poisson learning to a Poisson equation with measure data
Leon Bungert, Jeff Calder, Max Mihailescu +2
In this paper we prove discrete to continuum convergence rates for Poisson Learning, a graph-based semi-supervised learning algorithm that is based on solving the graph Poisson equ…
A mean curvature flow arising in adversarial training
Leon Bungert, Tim Laux, Kerrek Stinson
We connect adversarial training for binary classification to a geometric evolution equation for the decision boundary. Relying on a perspective that recasts adversarial training as…
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…