6 papers
How opinions shape epidemics: a graphon-based kinetic approach
Abu Safyan Ali, Elisa Calzola, Giacomo Dimarco +2
Understanding the mutual influence between social behavior and physical health is crucial for designing effective epidemic mitigation strategies. Individual interactions drive the…
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…
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…
A data-driven kinetic model for opinion dynamics with social network contacts
Giacomo Albi, Elisa Calzola, Giacomo Dimarco
Opinion dynamics is an important and very active area of research that delves into the complex processes through which individuals form and modify their opinions within a social co…
A PINN approach for the online identification and control of unknown PDEs
Alessandro Alla, Giulia Bertaglia, Elisa Calzola
Physics-Informed Neural Networks (PINNs) have revolutionized solving differential equations by integrating physical laws into neural networks training. This paper explores PINNs fo…