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Mathematik des Maschinellen Lernens

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

Existence of Solutions and Asymptotic Behavior of Adversarial Training with General Loss Functions
Datum: 26.11.2025, 14:15 - 15:15 Uhr
Kategorie: Veranstaltung
Ort: Hubland Nord, Geb. 40, 01.003
Veranstalter: Lehrstuhl für Mathematik III (Maschinelles Lernen)
Vortragende: 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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