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Fabrizio Boncoraglio

2 accepted papers

2026

Single-Head Attention in High Dimensions: A Theory of Generalization, Weights Spectra, and Scaling Laws

ICML 2026spotlight

Trained attention layers exhibit striking and reproducible spectral structure of the weights, including low-rank collapse, bulk deformation, and isolated spectral outliers, yet the origin of these phenomena and their implications for generalization remain poorly understood. We study empirical risk m…

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2025

Bayes optimal learning of attention-indexed models

NeurIPS 2025poster

We introduce the attention-indexed model (AIM), a theoretical framework for analyzing learning in deep attention layers. Inspired by multi-index models, AIM captures how token-level outputs emerge from layered bilinear interactions over high-dimensional embeddings. Unlike prior tractable attention m…

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