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Author

Alessandro Ingrosso

3 papers indexed here

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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
#machine learning Preprint Sep 2026

An Analytical Theory of Auxiliary Learning

Auxiliary learning is an optimization paradigm in which a neural network's performance on a target task is improved by jointly training it on additional tasks. However, the mechanisms behind this improvement remain poorly understood. We study this problem using a teacher-student framework and derive a closed system of...

Federico Milanesio, Alessandro Ingrosso, Matteo Osella · 0 citations
#machine learning Preprint Sep 2026

Coarse-Graining Hidden Representations: Unsupervised Neuron Selection via Mapping Entropy

This work cast neuron selection as the problem of coarse-graining the hidden layer by retaining a subset of its neurons, and scores each putative selection by the mapping entropy (ME), measuring the loss of discriminatory power inherent in discarding part of the network neurons.

Margherita Mele, Andrea Castagna, R. Menichetti et al. · 0 citations

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