A self-interacting single-particle CBO process is shown to have its occupation measure converge polynomially to a unique invariant measure; the global-minimizer approximation remains unproven.
Zhang, Existence and non-uniqueness of stationary distributions for distribution dependent SDEs , Electronic Journal of Probability 28 (2023), 1–34
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Self-interacting CBO: Existence, uniqueness, and long-time convergence
A self-interacting single-particle CBO process is shown to have its occupation measure converge polynomially to a unique invariant measure; the global-minimizer approximation remains unproven.