For consensus-based optimization on a bounded domain, the particle system's empirical distribution is within O(1/N) of its mean-field limit uniformly in time, and it concentrates about a limit point as N and t grow.
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Uniform-in-time weak propagation of chaos for consensus-based optimization
For consensus-based optimization on a bounded domain, the particle system's empirical distribution is within O(1/N) of its mean-field limit uniformly in time, and it concentrates about a limit point as N and t grow.