Author Archives: giacomoalbi

A Boltzmann approach to mean-field sparse feedback control

Giacomo Albi, Massimo Fornasier, and Dante Kalise (12/11/2016 arxiv.org/abs/1611.03988) 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, sparsity-promoting control penalizations. We study instantaneous and … Continue reading

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Mean field control hierarchy

Giacomo Albi, Young-Pil Choi, Massimo Fornasier, and Dante Kalise (01/08/2016  arxiv.org/abs/1608.01728) 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 … Continue reading

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Recent advances in opinion modeling: control and social influence

Giacomo Albi, Lorenzo Pareschi, Giuseppe Toscani, Mattia Zanella (01/07/2016, arxiv.org/abs/1607.05853 to appear in  springer.com/series/4960) We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential … Continue reading

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Discrete and Continuum Modeling of Biological Network Formation

Giacomo Albi, Martin Burger, Jan Haskovec, Peter Markowich and Matthias Schlottbom (01/06/2016  to appear in  springer.com/series/4960 ) We present an overview of recent analytical and numerical results for the elliptic parabolic system of partial differential equations proposed by Hu and Cai, … Continue reading

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Opinion dynamics over complex networks: kinetic modeling and numerical methods

Giacomo Albi, Lorenzo Pareschi, Mattia Zanella (31/03/2016 arxiv.org/abs/1604.00421) In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents’ distribution over the evolving network is considered which combines an opinion … Continue reading

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Selective model-predictive control for flocking systems

Giacomo Albi, Lorenzo Pareschi (16/03/2016 arxiv.org/abs/1603.05012) In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of the control. As a first step toward a reduction of … Continue reading

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On the optimal control of opinion dynamics on evolving networks

Giacomo Albi, Lorenzo Pareschi, Mattia Zanella (31/10/2015  arxiv.org/abs/1511.00145) In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a … Continue reading

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Biological transportation networks: modeling and simulation

Giacomo Albi, Marco Artina, Massimo Foransier, Peter A. Markowich (26/08/2015, link) We present a model for biological network formation originally introduced by Cai and Hu [Adaptation and optimization of biological transport networks, Phys. Rev. Lett. 111 (2013) 138701]. The modeling … Continue reading

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Invisible control of self-organizing agents leaving unknown environments

Giacomo Albi, Mattia Bongini, Emiliano Cristiani, Dante Kalise (15/04/2015  arXiv.org/1504.04064) In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic … Continue reading

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Uncertainty Quantification in Control Problems for Flocking Models

Giacomo Albi,  Lorenzo Pareschi, Mattia Zanella. (03/03/2015  arXiv:1503.00548) In this paper the optimal control of flocking models with random inputs is investigated from a numerical point of view. The effect of uncertainty in the interaction parameters is studied for a Cucker-Smale … Continue reading

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