most citedA Pressure-Stabilized Continuous Data Assimilation Reduced Order Model

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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…

math.OC2026

SHANG++: Robust Stochastic Acceleration under Multiplicative Noise

Yaxin Yu, Long Chen, Minfu Feng

Under the multiplicative noise scaling (MNS) condition, original Nesterov acceleration is provably sensitive to noise and may diverge when gradient noise overwhelms the signal. In…