31 citations · 55 across the 3 of their papers we have counts for
23 papers
Analytical Study of Momentum-Based Acceleration Methods in Paradigmatic High-Dimensional Non-Convex Problems
Stefano Sarao Mannelli, Pierfrancesco Urbani
The optimization step in many machine learning problems rarely relies on vanilla gradient descent but it is common practice to use momentum-based accelerated methods. Despite these…
Disordered high-dimensional optimal control
Pierfrancesco Urbani
Mean field optimal control problems are a class of optimization problems that arise from optimal control when applied to the many body setting. In the noisy case one has a set of c…
Low-frequency vibrational spectrum of mean-field disordered systems
Eran Bouchbinder, Edan Lerner, Corrado Rainone +2
We study a recently introduced and exactly solvable mean-field model for the density of vibrational states of a structurally disordered system. The model is formul…
Mean-field model of interacting quasilocalized excitations in glasses
Corrado Rainone, Pierfrancesco Urbani, Francesco Zamponi +2
Structural glasses feature quasilocalized excitations whose frequencies follow a universal density of states . Yet, the underlying physics behind this u…
Proliferation of non-linear excitations in the piecewise-linear perceptron
Antonio Sclocchi, Pierfrancesco Urbani
We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function…
Surfing on minima of isostatic landscapes: avalanches and unjamming transition
Silvio Franz, Antonio Sclocchi, Pierfrancesco Urbani
Recently, we showed that optimization problems, both in infinite as well as in finite dimensions, for continuous variables and soft excluded volume constraints, can display entire…