For the random batch particle system, the k-particle relative entropy to the mean-field limit is bounded by C t e^{C t} (k^2/N^2 + k tau^2).
Mean field error estimate of the random batch method for large interacting particle system
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Propagation of chaos and approximation error of random batch particle system in the mean field regime
For the random batch particle system, the k-particle relative entropy to the mean-field limit is bounded by C t e^{C t} (k^2/N^2 + k tau^2).