10 papers
Multi-fidelity methods for kinetic models of epidemic dynamics with uncertain contact structure
Liu Liu, Andrea Medaglia, Hao Xie +1
In this work, we develop a multi-fidelity strategy for kinetic models in epidemiology with uncertain contact dynamics. Assessing and controlling the population-level effects of con…
Superlinear drift in consensus-based optimization with condensation phenomena
Jonathan Franceschi, Lorenzo Pareschi, Mattia Zanella
Consensus-based optimization (CBO) is a class of metaheuristic algorithms designed for global optimization problems. In the many-particle limit, classical CBO dynamics can be rigor…
A Multiscale Kinetic Framework for Image Segmentation: From Particle Systems to Continuum Models
Horacio Tettamanti, Giulia Guicciardi, Mattia Zanella
In this work, we present a multiscale kinetic framework for consensus-based image segmentation. By interpreting an image as a system of interacting particles, each pixel is charact…
Supercritical Mass and Condensation in Fokker--Planck Equations for Consensus Formation
Monica Caloi, Mattia Zanella
Inspired by recently developed Fokker--Planck models for Bose--Einstein statistics, we study a consensus formation model with condensation effects driven by a polynomial diffusion…
Kinetic simulated annealing optimization with entropy-based cooling rate
Michael Herty, Mattia Zanella
We present a modified simulated annealing method with a dynamical choice of the cooling temperature. The latter is determined via a closed-loop control and is proven to yield expon…
Kinetic and mean-field modeling of muscular dystrophies
Tommaso Lorenzi, Horacio Tettamanti, Mattia Zanella
We present a new class of models for assessing the cell dynamics characterising muscular dystrophies. The proposed approach comprises a system of integro-differential equations for…