Adriano Barra

Dense Hebbian neural networks: a replica symmetric picture of supervised learning

2022 · arXiv (Cornell University)

We consider dense, associative neural-networks trained by a teacher (i.e., with supervision) and we investigate their computational capabilities analytically, via statistical-mechanics of spin glasses, and numerically, via Monte Carlo simulations. In particular, we obtain a …

Statistical Mechanics of Learning via Reverberation in Bidirectional Associative Memories

2023 · arXiv (Cornell University)

We study bi-directional associative neural networks that, exposed to noisy examples of an extensive number of random archetypes, learn the latter (with or without the presence of a teacher) when the supplied information is enough: …

Networks of neural networks: more is different

2025 · arXiv (Cornell University)

The common thread behind the recent Nobel Prize in Physics to John Hopfield and those conferred to Giorgio Parisi in 2021 and Philip Anderson in 1977 is disorder. Quoting Philip Anderson: "more is different". This …