35 citations · 360 across the 36 of their papers we have counts for
7 papers · 1 filter
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…
Current quantization and fractal hierarchy in a driven repulsive lattice gas
Pietro Rotondo, Alessandro Luigi Sellerio, Pietro Glorioso +3
Driven lattice gases are widely regarded as the paradigm of collective phenomena out of equilibrium. While such models are usually studied with nearest-neighbor interactions, many…
Soft bounds on diffusion produce skewed distributions and Gompertz growth
Salvatore Mandrà, Marco Cosentino Lagomarsino, Marco Gherardi
Constraints can affect dramatically the behavior of diffusion processes. Recently, we analyzed a natural and a technological system and reported that they perform diffusion-like di…
q-deformed Loewner evolution
Marco Gherardi, Alessandro Nigro
The Loewner equation, in its stochastic incarnation introduced by Schramm, is an insightful method for the description of critical random curves and interfaces in two-dimensional s…
Exact sampling of self-avoiding paths via discrete Schramm-Loewner evolution
Marco Gherardi
We present an algorithm, based on the iteration of conformal maps, that produces independent samples of self-avoiding paths in the plane. It is a discrete process approximating rad…
Whole-plane self-avoiding walks and radial Schramm-Loewner evolution: a numerical study
Marco Gherardi
We numerically test the correspondence between the scaling limit of self-avoiding walks (SAW) in the plane and Schramm-Loewner evolution (SLE) with k=8/3. We introduce a discrete-t…