3 papers
math.OC2026
A derivative-free particle method for optimization in Hilbert spaces
Hui Huang, Hicham Kouhkouh
We introduce a stochastic interacting particle system in separable Hilbert spaces together with its associated mean-field formulation. The model is shown to retain the characterist…
math.OC2026
Faithful global convergence for the rescaled Consensus-Based Optimization
Hui Huang, Hicham Kouhkouh, Lukang Sun
We analyze the Consensus-Based Optimization (CBO) algorithm with a consensus point rescaled by a small fixed parameter . Under minimal assumptions on the objective fun…
math.OC2025
Uniform-in-time mean-field limit estimate for the Consensus-Based Optimization
Hui Huang, Hicham Kouhkouh
We establish a uniform-in-time estimate for the mean-field convergence of the Consensus-Based Optimization (CBO) algorithm by rescaling the consensus point in the dynamics with a s…