Author

Matteo Vilucchio

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#machine learning May 2026

Deep Learning as Neural Low-Degree Filtering: A Spectral Theory of Hierarchical Feature Learning

Neural Low-Degree Filtering (Neural LoFi) is introduced, a stylized limit of gradient-based training in which hierarchical feature learning becomes an explicit iterative spectral procedure and provides a mathematically explicit framework for studying multi-layer feature learning beyond the lazy regime.

Yatin Dandi, Matteo Vilucchio, Luca Arnaboldi et al. · arXiv.org · 1 citation

#machine learning Jun 2025

On the existence of consistent adversarial attacks in high-dimensional linear classification

A new error metric is introduced that precisely captures model vulnerability to consistent adversarial attacks -- perturbations that preserve the ground-truth labels, offering theoretical insight into the mechanisms underlying model sensitivity to adversarial attacks.

Matteo Vilucchio, Lenka Zdeborová, Bruno Loureiro · arXiv.org · 1 citation