Title
IDEAL: Inexact DEcentralized Accelerated Augmented Lagrangian Method
Abstract
We introduce a framework for designing primal methods under the decentralized optimization setting where local functions are smooth and strongly convex. Our approach consists of approximately solving a sequence of sub-problems induced by the accelerated augmented Lagrangian method, thereby providing a systematic way for deriving several well-known decentralized algorithms including EXTRA arXiv:1404.6264 and SSDA arXiv:1702.08704. When coupled with accelerated gradient descent, our framework yields a novel primal algorithm whose convergence rate is optimal and matched by recently derived lower bounds. We provide experimental results that demonstrate the effectiveness of the proposed algorithm on highly ill-conditioned problems.
Year
Venue
DocType
2020
NIPS 2020
Conference
Volume
Citations 
PageRank 
33
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Yossi Arjevani1345.55
J. Bruna2169782.95
Bugra Can321.37
Mert Gürbüzbalaban45512.36
Stefanie Jegelka579246.31
Lin Hongzhou600.34