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Yiman Fong

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#artificial intelligence Preprint Aug 2026

Adam at the Edge of Stability: Adaptive Feedback, Provable Oscillation, and Gradient Reversal

The edge-of-stability (EoS) phenomenon of full-batch Adam has been widely observed, yet its underlying dynamical mechanism remains poorly understood. In this paper, we identify Adam's second-moment adaptation as a negative-feedback mechanism that drives the dynamics toward the stability boundary. We characterize this m...

Yiman Fong, Heng Yang · 1 citation

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