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math.OC2022
Proximal Subgradient Norm Minimization of ISTA and FISTA
Bowen Li, Bin Shi, Ya-xiang Yuan
For first-order smooth optimization, the research on the acceleration phenomenon has a long-time history. Until recently, the mechanism leading to acceleration was not successfully…
math.OC2022★ 1 cited
Gradient Norm Minimization of Nesterov Acceleration:
Shuo Chen, Bin Shi, Ya-xiang Yuan
In the history of first-order algorithms, Nesterov's accelerated gradient descent (NAG) is one of the milestones. However, the cause of the acceleration has been a mystery for a lo…
math.OC2019
Acceleration via Symplectic Discretization of High-Resolution Differential Equations
Bin Shi, Simon S. Du, Weijie J. Su +1
We study first-order optimization methods obtained by discretizing ordinary differential equations (ODEs) corresponding to Nesterov's accelerated gradient methods (NAGs) and Polyak…