Scaling Laws and Spectra of Shallow Neural Networks in the Feature Learning Regime

ICLROral2026

Authors
Leonardo Defilippis, Yizhou Xu, Julius Girardin, Vittorio Erba, Emanuele Troiani, Lenka Zdeborová, Bruno Loureiro, Florent Krzakala
Affiliation
Ecole Normale Supérieure, Ecole Normale Supérieure de Paris
Venue
ICLR 2026
Track
Oral

TL;DR

We derive a phase diagram of scaling laws for diagonal and quadratic neural networks via a bridge to LASSO and matrix compressed sensing, predicting both generalization and the emergence of power-law weight spectra.

Opening excerpt from the authors’ abstract. source

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Topics

generalization scaling law

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