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math.PR2026
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…
math.PR2025
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…
math.PR2025
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…