activity
20172025
most citedProperties of the geometry of solutions and capacity of multi-layer neural networks with Rectified Linear Units activations

60 citations · 235 across the 23 of their papers we have counts for

collaborators

23 papers

cond-mat.dis-nn2025

Generalization performance of narrow one-hidden layer networks in the teacher-student setting

Rodrigo Pérez Ortiz, Gibbs Nwemadji, Jean Barbier +4

Understanding the generalization properties of neural networks on simple input-output distributions is key to explaining their performance on real datasets. The classical teacher-s…

cond-mat.dis-nn2024★ 2 cited

Random Features Hopfield Networks generalize retrieval to previously unseen examples

Silvio Kalaj, Clarissa Lauditi, Gabriele Perugini +3

It has been recently shown that a learning transition happens when a Hopfield Network stores examples generated as superpositions of random features, where new attractors correspon…

hep-th2024★ 1 cited

Instantons in Theories: Transseries, Virial Theorems and Numerical Aspects

Ludovico T. Giorgini, Ulrich D. Jentschura, Enrico M. Malatesta +2

We discuss numerical aspects of instantons in two- and three-dimensional theories with an internal symmetry group, the so-called -vector model. Combining asymptotic…

cond-mat.dis-nn2023★ 2 cited

The star-shaped space of solutions of the spherical negative perceptron

Brandon Livio Annesi, Clarissa Lauditi, Carlo Lucibello +4

Empirical studies on the landscape of neural networks have shown that low-energy configurations are often found in complex connected structures, where zero-energy paths between pai…

cond-mat.dis-nn2023

Storage and Learning phase transitions in the Random-Features Hopfield Model

Matteo Negri, Clarissa Lauditi, Gabriele Perugini +2

The Hopfield model is a paradigmatic model of neural networks that has been analyzed for many decades in the statistical physics, neuroscience, and machine learning communities. In…

cond-mat.dis-nn2023

Typical and atypical solutions in non-convex neural networks with discrete and continuous weights

Carlo Baldassi, Enrico M. Malatesta, Gabriele Perugini +1

We study the binary and continuous negative-margin perceptrons as simple non-convex neural network models learning random rules and associations. We analyze the geometry of the lan…