Author

Hugo Tabanelli

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#machine learning Feb 2026

Deep Learning of Compositional Targets with Hierarchical Spectral Methods

This work analyzes compositional target functions of three-layer fitting using an explicit three-layer fitting model trained via layer-wise spectral estimators, and establishes Gaussian comparison bounds for projected moments when $0<\varepsilon<1/3$, and motivates separations in sample complexity between two- and thre...

Hugo Tabanelli, Yatin Dandi, Luca Pesce et al. · arXiv.org · 2 citations

#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