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20242026
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math.OC2026

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…

math.OC2026

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…

math.OC2025

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…

math.OC2025

Control of high-dimensional collective dynamics by deep neural feedback laws and kinetic modelling

Giacomo Albi, Sara Bicego, Dante Kalise

Modeling and control of agent-based models is twice cursed by the dimensionality of the problem, as both the number of agents and their state space dimension can be large. Even tho…

math.OC2024

Kinetic based optimization enhanced by genetic dynamics

Giacomo Albi, Federica Ferrarese, Claudia Totzeck

We propose and analyse a variant of the recently introduced kinetic based optimization method that incorporates ideas like survival-of-the-fittest and mutation strategies well-know…

math.OC2024

Data/moment-driven approaches for fast predictive control of collective dynamics

Giacomo Albi, Sara Bicego, Michael Herty +3

Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics ha…