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math.PR2023
Propagation of chaos in path spaces via information theory
Lei Li, Yuelin Wang, Yuliang Wang
Propagation of chaos for interacting particle systems has been an active research topic over decades. We propose an alternative approach to study the mean-field limit of the stocha…
math.PR2023
Geometric ergodicity of SGLD via reflection coupling
Lei Li, Jian-Guo Liu, Yuliang Wang
We consider the geometric ergodicity of the Stochastic Gradient Langevin Dynamics (SGLD) algorithm under nonconvexity settings. Via the technique of reflection coupling, we prove t…