4 papers
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…
Optimal control of a kinetic model describing social interactions on a graph
Jonathan Franceschi, Nadia Loy
In this paper we introduce the optimal control of a kinetic model describing agents who migrate on a graph and interact within its nodes exchanging a physical quantity. As a protot…
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…
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…