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Enrico M. Malatesta

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#machine learning Preprint Sep 2026

A Flatness-Generalization Relation in the Teacher-Student Tree-Committee Machine

The flatness of the loss landscape at a minimizer is a widely used heuristic for reasoning about neural-network generalization, yet evidence for this relation is mostly empirical and controversial. We study this relation in a teacher-student tree committee machine, where both the ERM estimator and the Hessian spectrum...

B. Annesi, Davide Straziota, E. M. Malatesta · 0 citations
Jul 2026

On the robustness of noisy solutions in non-convex neural networks

Using a finite energy message-passing algorithm, it is demonstrated numerically that thermal noise enables effective generalization in the regime of constraint densities where both recovering the teacher and finding a zero temperature solution are computationally hard.

Enrico M. Malatesta, A. Passalacqua, Riccardo Zecchina · 0 citations

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