Particle swarm optimization or differential evolution—A comparison

AP Piotrowski, JJ Napiorkowski… - Engineering Applications of …, 2023 - Elsevier
In the mid 1990s two landmark metaheuristics have been proposed: Particle Swarm
Optimization and Differential Evolution. Their initial versions were very simple, but rapidly …

On the global convergence of particle swarm optimization methods

H Huang, J Qiu, K Riedl - Applied Mathematics & Optimization, 2023 - Springer
In this paper we provide a rigorous convergence analysis for the renowned particle swarm
optimization method by using tools from stochastic calculus and the analysis of partial …

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 …

Leveraging memory effects and gradient information in consensus-based optimisation: On global convergence in mean-field law

K Riedl - European Journal of Applied Mathematics, 2024 - cambridge.org
In this paper, we study consensus-based optimisation (CBO), a versatile, flexible and
customisable optimisation method suitable for performing nonconvex and nonsmooth global …

Consensus-based optimization methods converge globally

M Fornasier, T Klock, K Riedl - SIAM Journal on Optimization, 2024 - SIAM
In this paper we study consensus-based optimization (CBO), which is a multiagent
metaheuristic derivative-free optimization method that can globally minimize nonconvex …

Convergence of anisotropic consensus-based optimization in mean-field law

M Fornasier, T Klock, K Riedl - International Conference on the …, 2022 - Springer
In this paper we study anisotropic consensus-based optimization (CBO), a population-based
metaheuristic derivative-free optimization method capable of globally minimizing nonconvex …

On the mean‐field limit for the consensus‐based optimization

H Huang, J Qiu - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
This paper is concerned with the large particle limit for the consensus‐based optimization
(CBO), which was postulated in the pioneering works by Carrillo, Pinnau, Totzeck and many …

Anisotropic diffusion in consensus-based optimization on the sphere

M Fornasier, H Huang, L Pareschi, P Sünnen - SIAM Journal on …, 2022 - SIAM
In this paper, we are concerned with the global minimization of a possibly nonsmooth and
nonconvex objective function constrained on the unit hypersphere by means of a multi-agent …

Mean-field limits for consensus-based optimization and sampling

NJ Gerber, F Hoffmann, U Vaes - arXiv preprint arXiv:2312.07373, 2023 - arxiv.org
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 transpose …

Consensus-based optimisation with truncated noise

M Fornasier, P Richtárik, K Riedl… - European Journal of …, 2024 - cambridge.org
Consensus-based optimisation (CBO) is a versatile multi-particle metaheuristic optimisation
method suitable for performing non-convex and non-smooth global optimisations in high …