Author

Federica Gerace

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#machine learning Preprint Sep 2026

A Dynamical Theory of LoRA in Continual Learning

Despite the widespread use of Low-Rank Adaptation (LoRA), little is known about its dynamics in continual learning and the mechanisms by which low-rank updates affect catastrophic forgetting. We provide an asymptotically exact dynamical characterization of LoRA in a solvable two-task teacher-student model. In the high-...

Théo Marchetta, F. Alessandroni, Alessandro Breccia et al. · 0 citations

Preprint Aug 2026

Variational Bounds for Perceptron Learning from Structured Data

A variational approach to a finite-temperature continuous-spin perceptron trained on a Gaussian mixture is introduced and lower and upper minimax variational bounds for the limiting quenched pressure are derived.

Francesco Camilli, P. Contucci, Federica Gerace et al. · 0 citations