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06/16/2023
Linear convergence of Nesterov-1983 with the strong convexity
For modern gradient-based optimization, a developmental landmark is Nest...
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06/15/2023
Optimization on product manifolds under a preconditioned metric
Since optimization on Riemannian manifolds relies on the chosen metric, ...
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04/28/2023
On Underdamped Nesterov's Acceleration
The high-resolution differential equation framework has been proven to b...
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02/28/2023
Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition
We propose Riemannian preconditioned algorithms for the tensor completio...
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12/13/2022
Linear Convergence of ISTA and FISTA
In this paper, we revisit the class of iterative shrinkage-thresholding ...
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12/12/2022
Revisiting the acceleration phenomenon via high-resolution differential equations
Nesterov's accelerated gradient descent (NAG) is one of the milestones i...
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11/03/2022
Proximal Subgradient Norm Minimization of ISTA and FISTA
For first-order smooth optimization, the research on the acceleration ph...
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09/26/2022
Some Sharp Error Bounds for Multivariate Linear Interpolation and Extrapolation
We study in this paper the function approximation error of linear interp...
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09/19/2022
Gradient Norm Minimization of Nesterov Acceleration: o(1/k^3)
In the history of first-order algorithms, Nesterov's accelerated gradien...
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07/31/2022