Expander Graph and Communication-Efficient Decentralized Optimization
Optimization and Control
2016-12-06 v1 Distributed, Parallel, and Cluster Computing
Multiagent Systems
Abstract
In this paper, we discuss how to design the graph topology to reduce the communication complexity of certain algorithms for decentralized optimization. Our goal is to minimize the total communication needed to achieve a prescribed accuracy. We discover that the so-called expander graphs are near-optimal choices. We propose three approaches to construct expander graphs for different numbers of nodes and node degrees. Our numerical results show that the performance of decentralized optimization is significantly better on expander graphs than other regular graphs.
Keywords
Cite
@article{arxiv.1612.00903,
title = {Expander Graph and Communication-Efficient Decentralized Optimization},
author = {Yat-Tin Chow and Wei Shi and Tianyu Wu and Wotao Yin},
journal= {arXiv preprint arXiv:1612.00903},
year = {2016}
}
Comments
2016 IEEE Asilomar Conference on Signals, Systems, and Computers