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math.OC2026
Convergence of time-discrete finite particle consensus based optimization in Hilbert spaces
Michael Herty, Hui Huang, Hicham Kouhkouh
We study a time-discrete, finite-particle Consensus-Based Optimization (CBO) algorithm in a separable Hilbert space. Our analysis provides convergence guarantees directly for the c…
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…