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 …
Optimization and Differential Evolution. Their initial versions were very simple, but rapidly …
On the global convergence of particle swarm optimization methods
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 …
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
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 …
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 …
customisable optimisation method suitable for performing nonconvex and nonsmooth global …
Consensus-based optimization methods converge globally
In this paper we study consensus-based optimization (CBO), which is a multiagent
metaheuristic derivative-free optimization method that can globally minimize nonconvex …
metaheuristic derivative-free optimization method that can globally minimize nonconvex …
Convergence of anisotropic consensus-based optimization in mean-field law
In this paper we study anisotropic consensus-based optimization (CBO), a population-based
metaheuristic derivative-free optimization method capable of globally minimizing nonconvex …
metaheuristic derivative-free optimization method capable of globally minimizing nonconvex …
On the mean‐field limit for the consensus‐based optimization
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 …
(CBO), which was postulated in the pioneering works by Carrillo, Pinnau, Totzeck and many …
Anisotropic diffusion in consensus-based optimization on the sphere
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 …
nonconvex objective function constrained on the unit hypersphere by means of a multi-agent …
Mean-field limits for consensus-based optimization and sampling
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 …
convergence analysis is often more accessible at the mean-field level. In order to transpose …
Consensus-based optimisation with truncated noise
Consensus-based optimisation (CBO) is a versatile multi-particle metaheuristic optimisation
method suitable for performing non-convex and non-smooth global optimisations in high …
method suitable for performing non-convex and non-smooth global optimisations in high …