• Corpus ID: 231879963

# A Continuized View on Nesterov Acceleration

@article{Berthier2021ACV,
title={A Continuized View on Nesterov Acceleration},
author={Raphael Berthier and Francis R. Bach and Nicolas Flammarion and Pierre Gaillard and Adrien B. Taylor},
journal={ArXiv},
year={2021},
volume={abs/2102.06035}
}
We introduce the “continuized” Nesterov acceleration, a close variant of Nesterov acceleration whose variables are indexed by a continuous time parameter. The two variables continuously mix following a linear ordinary differential equation and take gradient steps at random times. This continuized variant benefits from the best of the continuous and the discrete frameworks: as a continuous process, one can use differential calculus to analyze convergence and obtain analytical expressions for the…

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