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cs.LG2026
High-Dimensional Theory of LoRA Fine-Tuning in a Solvable Attention Model
O. Duranthon, F. Boncoraglio, L. Zdeborová
We develop a high-dimensional statistical theory of low-rank adaptation (LoRA) in attention models, capturing the interplay between pre-training and fine-tuning. We introduce a sol…
stat.ML2026
The Rules-and-Facts Model for Simultaneous Generalization and Memorization in Neural Networks
Gabriele Farné, Fabrizio Boncoraglio, Lenka Zdeborová
A key capability of modern neural networks is their capacity to simultaneously learn underlying rules and memorize specific facts or exceptions. Yet, theoretical understanding of t…