190 citations · 643 across the 41 of their papers we have counts for
5 papers · 1 filter
A Boltzmann approach to mean-field sparse feedback control
Giacomo Albi, Massimo Fornasier, Dante Kalise
We study the synthesis of optimal control policies for large-scale multi-agent systems. The optimal control design induces a parsimonious control intervention by means of l-1, spar…
A Machine Learning Approach to Optimal Tikhonov Regularisation I: Affine Manifolds
Ernesto De Vito, Massimo Fornasier, Valeriya Naumova
Despite a variety of available techniques the issue of the proper regularization parameter choice for inverse problems still remains one of the biggest challenges. The main difficu…
Sparse Control of Multiagent Systems
Mattia Bongini, Massimo Fornasier
In recent years, numerous studies have focused on the mathematical modeling of social dynamics, with self-organization, i.e., the autonomous pattern formation, as the main driving…
Mean field control hierarchy
Giacomo Albi, Young-Pil Choi, Massimo Fornasier +1
In this paper we model the role of a government of a large population as a mean field optimal control problem. Such control problems are constrainted by a PDE of continuity-type, g…
Inferring Interaction Rules From Observations of Evolutive Systems I: The Variational Approach
Mattia Bongini, Massimo Fornasier, Markus Hansen +1
In this paper we are concerned with the learnability of nonlocal interaction kernels for first order systems modeling certain social interactions, from observations of realizations…