Sophie Langer

2 accepted papers

2026

A novel statistical approach to analyze image classification

Juntong Chen, Sophie Langer, Johannes Schmidt-Hieber

ICML 2026poster

The recent statistical theory of neural networks focuses on nonparametric denoising problems that treat randomness as additive noise. Variability in image classification datasets does, however, not originate from additive noise but from variation of the shape and other characteristics of the same ob…

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2025

On the VC dimension of deep group convolutional neural networks

Anna Sepliarskaia, Sophie Langer, Johannes Schmidt-Hieber

NeurIPS 2025poster

Recent works have introduced new equivariant neural networks, motivated by their improved generalization compared to traditional deep neural networks. While experiments support this advantage, the theoretical understanding of their generalization properties remains limited. In this paper, we analyze…

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