146 citations · 348 across the 25 of their papers we have counts for
5 papers · 1 filter
Controlling a self-organizing system of individuals guided by a few external agents -- particle description and mean-field limit
Martin Burger, René Pinnau, Andreas Roth +2
Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathemat…
Elastic image registration with exact mass preservation
Jarosław Wlazło, Robert Feßler, René Pinnau +2
We establish a new framework for image registration, which is based on linear elasticity and optimal mass transportation theory. We combine these two arguments in order to obtain a…
A consensus-based model for global optimization and its mean-field limit
René Pinnau, Claudia Totzeck, Oliver Tse +1
We introduce a novel first-order stochastic swarm intelligence (SI) model in the spirit of consensus formation models, namely a consensus-based optimization (CBO) algorithm, which…
A multiscale approach for spatially inhomogeneous disease dynamics
Markus Schmidtchen, Oliver Tse, Stephan Wackerle
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR model by Kermack and McKendrick. We further provide a multiscale approach to the…
An analytical framework for a consensus-based global optimization method
José A. Carrillo, Young-Pil Choi, Claudia Totzeck +1
In this paper we provide an analytical framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the opti…