3 papers
cond-mat.dis-nn2025
Overparametrization bends the landscape: BBP transitions at initialization in simple Neural Networks
Brandon Livio Annesi, Dario Bocchi, Chiara Cammarota
High-dimensional non-convex loss landscapes play a central role in the theory of Machine Learning. Gaining insight into how these landscapes interact with gradient-based optimizati…
cond-mat.dis-nn2024
Exact full-RSB SAT/UNSAT transition in infinitely wide two-layer neural networks
Brandon L. Annesi, Enrico M. Malatesta, Francesco Zamponi
We analyze the problem of storing random pattern-label associations using two classes of continuous non-convex weights models, namely the perceptron with negative margin and an inf…
cond-mat.stat-mech2019
Covariance of the running range of a Brownian trajectory
Brandon Annesi, Enzo Marinari, Gleb Oshanin
The question how the extremal values of a stochastic process achieved on different time intervals are correlated to each other has been discussed within the last few years on examp…