3 papers
math.OC2024★ 5 cited
Self-interacting CBO: Existence, uniqueness, and long-time convergence
Hui Huang, Hicham Kouhkouh
A self-interacting dynamics that mimics the standard Consensus-Based Optimization (CBO) model is introduced. This single-particle dynamics is shown to converge to a unique invarian…
math.AP2024
The rigorous derivation of Vlasov equations with local alignments from moderately interacting particle systems
Jinhuan Wang, Mengdi Zhuang, Hui Huang
In this paper, we present a rigorous derivation of the mean-field limit for a moderately interacting particle system in . For stochastic initial data, we demonstr…
math.AP2024
Error Estimation in the Mean-Field Limit of Kinetic Flocking Models with Local Alignments
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we present an innovative particle system characterized by moderate interactions, designed to accurately approximate kinetic flocking models that incorporate singular…