A Dynamical Systems Perspective on Nesterov Acceleration

Type: Preprint

Publication Date: 2019-01-01

Citations: 38

DOI: https://doi.org/10.48550/arxiv.1905.07436

Locations

  • arXiv (Cornell University) - View
  • DataCite API - View

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Works That Cite This (36)

Action Title Year Authors
+ Symplectic Accelerated Optimization on SO(3) with Lie Group Variational Integrators 2020 Harsh Sharma
Taeyoung Lee
Mayuresh Patil
Craig A. Woolsey
+ On the asymptotic stability of proximal algorithms for convex optimization problems with multiple non-smooth regularizers 2022 Ibrahim K. Ozaslan
Sepideh Hassan-Moghaddam
Mihailo R. Jovanović
+ Design of generalized fractional order gradient descent method 2018 Yiheng Wei
YĂĽ Kang
Weidi Yin
Yong Wang
+ Gradient Flows and Accelerated Proximal Splitting Methods. 2019 Guilherme França
Daniel P. Robinson
René Vidal
+ PDF Chat An Extension of the Second Order Dynamical System that Models Nesterov’s Convex Gradient Method 2020 Cristian Daniel Alecsa
Szilárd Csaba László
Titus PinĹŁa
+ PDF Chat Implicit Runge-Kutta Methods for Accelerated Unconstrained Convex Optimization 2020 Ruijuan Chen
Xiuting Li
+ PDF Chat On dissipative symplectic integration with applications to gradient-based optimization 2021 Guilherme França
Michael I. Jordan
René Vidal
+ Revisiting the Role of Euler Numerical Integration on Acceleration and Stability in Convex Optimization 2021 Peiyuan Zhang
Antonio Orvieto
Hadi Daneshmand
Thomas Hofmann
Roy S. Smith
+ The long time behavior and the rate of convergence of symplectic convex algorithms obtained via splitting discretizations of inertial damping systems 2020 Cristian Daniel Alecsa
+ PDF Chat Proximal gradient flow and Douglas–Rachford splitting dynamics: Global exponential stability via integral quadratic constraints 2020 Sepideh Hassan-Moghaddam
Mihailo R. Jovanović