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Adam Can Converge Without Any Modification On Update Rules.arXiv:2208.09632, 2022

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Central limit theorem for the averaged Adam optimizer

math.PR · 2026-06-19 · unverdicted · novelty 5.0

Establishes a central limit theorem for averaged Adam with n^{-1/2} convergence rate to an attracting zero and covariance determined by the algorithm at the attractor.

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  • Central limit theorem for the averaged Adam optimizer math.PR · 2026-06-19 · unverdicted · none · ref 36

    Establishes a central limit theorem for averaged Adam with n^{-1/2} convergence rate to an attracting zero and covariance determined by the algorithm at the attractor.