12 papers
Consensus-based optimization with -stable jump processes
Pedro Aceves-Sanchez, Giacomo Albi, Federica Ferrarese +1
In this paper, we introduce a novel variant of the CBO method that incorporates jumps according to an -stable stochastic process in a kinetic framework. This extension gives ri…
Discovery of interaction and diffusion kernels in particle-to-mean-field multi-agent systems
Giacomo Albi, Alessandro Alla, Elisa Calzola
We propose a data-driven framework to learn interaction kernels in stochastic multi-agent systems. Our approach aims at identifying the functional form of nonlocal interaction and…
Control of kinetic opinion dynamics in popularity-adaptive social networks
Giacomo Albi, Elisa Calzola, Matteo Piu
This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend…
Sparse stabilization of mean-field agent dynamics through a three-operator splitting method
Giacomo Albi, Dante Kalise, Chiara Segala +1
We study the sparse stabilization of nonlinear multi-agent systems within a mean-field optimal control framework. The goal is to drive large populations of interacting agents towar…
Robust feedback control of collisional plasma dynamics in presence of uncertainties
Giacomo Albi, Giacomo Dimarco, Federica Ferrarese +1
Magnetic fusion aims to confine high-temperature plasma within a device, enabling the fusion of deuterium and tritium nuclei to release energy. Due to the very large temperatures i…
A second-order numerical scheme for optimal control of non-linear Fokker-Planck equations and applications in social dynamics
Giacomo Albi, Elisa Calzola
In this work, we present a second-order numerical scheme to address the solution of optimal control problems constrained by the evolution of nonlinear Fokker-Planck equations arisi…