Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives

G Albi, N Bellomo, L Fermo, SY Ha, J Kim… - … Models and Methods …, 2019 - World Scientific
This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

Tensor decomposition methods for high-dimensional Hamilton--Jacobi--Bellman equations

S Dolgov, D Kalise, KK Kunisch - SIAM Journal on Scientific Computing, 2021 - SIAM
A tensor decomposition approach for the solution of high-dimensional, fully nonlinear
Hamilton--Jacobi--Bellman equations arising in optimal feedback control of nonlinear …

Modelling opinion dynamics under the impact of influencer and media strategies

L Helfmann, N Djurdjevac Conrad, P Lorenz-Spreen… - Scientific Reports, 2023 - nature.com
Digital communication has made the public discourse considerably more complex, and new
actors and strategies have emerged as a result of this seismic shift. Aside from the often …

Crowd dynamics: Modeling and control of multiagent systems

X Gong, M Herty, B Piccoli… - Annual Review of Control …, 2023 - annualreviews.org
This review aims to present recent developments in modeling and control of multiagent
systems. A particular focus is set on crowd dynamics characterized by complex interactions …

Consensus-based optimization on the sphere: Convergence to global minimizers and machine learning

M Fornasier, L Pareschi, H Huang, P Sünnen - Journal of Machine …, 2021 - jmlr.org
We investigate the implementation of a new stochastic Kuramoto-Vicsek-type model for
global optimization of nonconvex functions on the sphere. This model belongs to the class of …

Proximal methods for stationary mean field games with local couplings

LM Briceno-Arias, D Kalise, FJ Silva - SIAM Journal on Control and …, 2018 - SIAM
We address the numerical approximation of mean field games with local couplings. For
power-like Hamiltonians, we consider a stationary system and also a system involving …

A collisionless singular Cucker--Smale model with decentralized formation control

YP Choi, D Kalise, J Peszek, AA Peters - SIAM Journal on Applied Dynamical …, 2019 - SIAM
We address the design of decentralized feedback control laws inducing consensus and
prescribed spatial patterns over a singular interacting particle system of Cucker--Smale type …

Breaking consensus in kinetic opinion formation models on graphons

B Düring, J Franceschi, MT Wolfram… - Journal of Nonlinear …, 2024 - Springer
In this work, we propose and investigate a strategy to prevent consensus in kinetic models
for opinion formation. We consider a large interacting agent system and assume that agent …

Mean-field optimal control as gamma-limit of finite agent controls

M Fornasier, S Lisini, C Orrieri… - European Journal of …, 2019 - cambridge.org
This paper focuses on the role of a government of a large population of interacting agents as
a meanfield optimal control problem derived from deterministic finite agent dynamics. The …

Optimal feedback law recovery by gradient-augmented sparse polynomial regression

B Azmi, D Kalise, K Kunisch - Journal of Machine Learning Research, 2021 - jmlr.org
A sparse regression approach for the computation of high-dimensional optimal feedback
laws arising in deterministic nonlinear control is proposed. The approach exploits the control …