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most citedStability and convergence analysis of AdaGrad for non-convex optimization via novel stopping time-based techniques

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math.OC2026

Long-Run Dynamics of AdaGrad-Norm: Trajectory Stability and Asymptotic Stationarity

Ruinan Jin, Xiaoyu Wang

AdaGrad-Norm is widely studied, yet its long-run behavior in smooth nonconvex optimization remains delicate. For the standard current-denominator recursion, the same stochastic gra…