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math.OC2021
Variational Symplectic Accelerated Optimization on Lie Groups
Taeyoung Lee, Molei Tao, Melvin Leok
There has been significant interest in generalizations of the Nesterov accelerated gradient descent algorithm due to its improved performance guarantee compared to the standard gra…
math.OC2021
A Variational Formulation of Accelerated Optimization on Riemannian Manifolds
Valentin Duruisseaux, Melvin Leok
It was shown recently by Su et al. (2016) that Nesterov's accelerated gradient method for minimizing a smooth convex function can be thought of as the time discretization of a…