7 citations · 8 across the 3 of their papers we have counts for
4 papers
Formation of clusters and coarsening in weakly interacting diffusions
Nicolai Gerber, Rishabh S. Gvalani, Martin Hairer +2
This paper studies the clustering behavior of weakly interacting diffusions under the influence of sufficiently localized attractive interaction potentials on the one-dimensional t…
Uniform-in-time propagation of chaos for Consensus-Based Optimization
Nicolai Gerber, Franca Hoffmann, Dohyeon Kim +1
We study the derivative-free global optimization algorithm Consensus-Based Optimization (CBO), establishing uniform-in-time propagation of chaos as well as an almost uniform-in-tim…
Uniform-in-time propagation of chaos for the Cucker--Smale model
Nicolai Jurek Gerber, Urbain Vaes
This paper presents an elementary proof of quantitative uniform-in-time propagation of chaos for the Cucker--Smale model under sufficiently strong interaction. The idea is to combi…
Mean-field limits for Consensus-Based Optimization and Sampling
Nicolai Jurek Gerber, Franca Hoffmann, Urbain Vaes
For algorithms based on interacting particle systems that admit a mean-field description, convergence analysis is often more accessible at the mean-field level. In order to transfe…