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math.OC2023★ 4 cited
High Probability Convergence of Clipped-SGD Under Heavy-tailed Noise
Ta Duy Nguyen, Thien Hang Nguyen, Alina Ene +1
While the convergence behaviors of stochastic gradient methods are well understood \emph{in expectation}, there still exist many gaps in the understanding of their convergence with…
math.OC2023★ 2 cited
High Probability Convergence of Stochastic Gradient Methods
Zijian Liu, Ta Duy Nguyen, Thien Hang Nguyen +2
In this work, we describe a generic approach to show convergence with high probability for both stochastic convex and non-convex optimization with sub-Gaussian noise. In previous w…