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Institute of Mathematics

Oberseminar "Mathematik des Maschinellen Lernens und Angewandte Analysis" - Lennart Siethoff

Existence of Solutions and Asymptotic Behavior of Adversarial Training with General Loss Functions
Date: 11/26/2025, 2:15 PM - 3:15 PM
Category: event
Location: Hubland Nord, Geb. 40, 01.003
Organizer: Lehrstuhl für Mathematik III (Maschinelles Lernen)
Speaker: Lennart Siethoff, Universität Würzburg

In this talk, I will present results from my Master’s thesis on adversarial training problems in classification. Focusing on total-variation-regularized formulations, we build on previous work to establish the existence of optimal classifiers for a broader class of loss functions. Using Γ-convergence, we then derive an asymptotic result describing the behavior of the adversarial training problem as the adversarial budget tends to zero.

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