14 citations · 15 across the 11 of their papers we have counts for
13 papers
Global existence for Consensus-Based Kinetic Models for Image Segmentation
Abramo Agosti, Pierluigi Colli, Elisabetta Rocca +1
In this article, we analyze a recently introduced kinetic model based on Hegselmann-Krause-type interaction dynamics describing consensus-based image segmentation in the mean-field…
Collective impact of opinion formation on agent-based epidemic dynamics
Andrea Bondesan, Riccardo Vecchio, Chiara Barbati +3
Epidemic spread and collective opinion formation are tightly coupled processes: individual beliefs about the severity of an outbreak and the value of protective measures shape beha…
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…
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 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…
A DSMC-PIC coupling method for the Vlasov-Maxwell-Landau system
Andrea Medaglia, Lorenzo Pareschi, Mattia Zanella
We present a numerical framework for the simulation of collisional plasma dynamics, based on a coupling between Direct Simulation Monte Carlo (DSMC) and Particle-in-Cell (PIC) meth…
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…
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…
Understanding the Impact of Evaluation Metrics in Kinetic Models for Consensus-based Segmentation
Raffaella Fiamma Cabini, Horacio Tettamanti, Mattia Zanella
In this article we extend a recently introduced kinetic model for consensus-based segmentation of images. In particular, we will interpret the set of pixels of a 2D image as an int…
Emerging properties of the degree distribution in large non-growing networks
Jonathan Franceschi, Lorenzo Pareschi, Mattia Zanella
The degree distribution is a key statistical indicator in network theory, often used to understand how information spreads across connected nodes. In this paper, we focus on non-gr…
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings
Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1
We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…
Breaking Consensus in Kinetic Opinion Formation Models on Graphons
Bertram Düring, Jonathan Franceschi, Marie-Therese Wolfram +1
In this work we propose and investigate a strategy to prevent consensus in kinetic models for opinion formation. We consider a large interacting agent system, and assume that agent…