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most citedAccelerated Over-Relaxation Heavy-Ball Method: Achieving Global Accelerated Convergence with Broad Generalization

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math.OC2026

Adam-SHANG: A Convergent Adam-Type Method for Stochastic Smooth Convex Optimization

Yaxin Yu, Long Chen, Minfu Feng

We propose Adam-SHANG, a Lyapunov-guided Adam-type method that couples momentum, adaptive preconditioning, and a curvature-aware correction through a more stable lagged-preconditio…