7 citations · 8 across the 2 of their papers we have counts for
8 papers
The number of optimal matchings for Euclidean Assignment on the line
Sergio Caracciolo, Vittorio Erba, Andrea Sportiello
We consider the Random Euclidean Assignment Problem in dimension , with linear cost function. In this version of the problem, in general, there is a large degeneracy of the gr…
Self-induced glassy phase in multimodal cavity quantum electrodynamics
Vittorio Erba, Mauro Pastore, Pietro Rotondo
We provide strong evidence that the effective spin-spin interaction in a multimodal confocal optical cavity gives rise to a self-induced glassy phase, which emerges exclusively fro…
The p-Airy distribution
Sergio Caracciolo, Vittorio Erba, Andrea Sportiello
In this manuscript we consider the set of Dyck paths equipped with the uniform measure, and we study the statistical properties of a deformation of the observable "area below the D…
Statistical learning theory of structured data
Mauro Pastore, Pietro Rotondo, Vittorio Erba +1
The traditional approach of statistical physics to supervised learning routinely assumes unrealistic generative models for the data: usually inputs are independent random variables…
Random geometric graphs in high dimension
Vittorio Erba, Sebastiano Ariosto, Marco Gherardi +1
Many machine learning algorithms used for dimensional reduction and manifold learning leverage on the computation of the nearest neighbours to each point of a dataset to perform th…
Intrinsic dimension estimation for locally undersampled data
Vittorio Erba, Marco Gherardi, Pietro Rotondo
High-dimensional data are ubiquitous in contemporary science and finding methods to compress them is one of the primary goals of machine learning. Given a dataset lying in a high-d…