Author

Cheng Mao

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Jul 2026

Scaling Limits of Constant-Stepsize SGD at Flat Minima

This work proves existence, uniqueness, and geometric convergence to an augmented invariant law in a Wasserstein distance induced by an $\alpha$-dependent metric and analysis of the small-stepsize scaling limit gives corresponding results for coordinate-separable objectives with unequal flatness exponents.

Jing-Yi Zhang, Cheng Mao, Debankur Mukherjee · arXiv.org · 0 citations