# Contracting Proximal Methods for Smooth Convex Optimization

@article{Doikov2020ContractingPM,
title={Contracting Proximal Methods for Smooth Convex Optimization},
author={Nikita Doikov and Y. Nesterov},
journal={SIAM J. Optim.},
year={2020},
volume={30},
pages={3146-3169}
}
• Published 2020
• Mathematics, Computer Science
• SIAM J. Optim.
In this paper, we propose new accelerated methods for smooth Convex Optimization, called Contracting Proximal Methods. At every step of these methods, we need to minimize a contracted version of the objective function augmented by a regularization term in the form of Bregman divergence. We provide global convergence analysis for a general scheme admitting inexactness in solving the auxiliary subproblem. In the case of using for this purpose high-order Tensor Methods, we demonstrate an… Expand

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