arrow
返回

A stochastic conditional gradient algorithm for decentralized online convex optimization

delete2022-11-01
delete5
PRE
AI
N
Nguyễn Kim Thắng
A
Abhinav Srivastav
D
Denis Trystram
P
Paul Youssef *
DOI:10.1016/j.jpdc.2022.07.010delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
We study in this paper several problems at the intersection of decentralized optimization and online learning. Decentralized optimization plays a vital role in machine learning and has recently garnered much attention due to its inherent advantage in handling edge computations. Many decentralized optimization algorithms, both projection and projection-free algorithms with theoretical guarantees, have been proposed in the literature, focusing mainly on offline settings. However, for most real-world machine learning problems, the data is often revealed online, for example, in the case of recommender systems, image/video processing, and stock portfolio management. Therefore, in this work, we study decentralized optimization within the framework of online settings with constraints imposed on the optimization solutions (e.g., sparsity or low rank of matrices). More specifically, we consider the problem of optimizing an aggregate of convex loss functions that arrive over time such that their components are distributed over a connected network. We present a consensus-based online decentralized Frank-Wolfe algorithm that uses stochastic gradient estimates, which achieves an asymptotically tight regret guarantee of O(root T) where T is a given time horizon. Furthermore, we demonstrate the performance of this algorithm for optimizing the online multiclass logistic regression model on real-world standard image datasets (MNIST, CIFAR(10)) by comparing with centralized online algorithms. We achieve better regret bounds than the previously best-known decentralized constrained online algorithms. (C) 2022 Elsevier Inc. All rights reserved.
Keyword:
Online learning
Distributed learning
Edge computing
Machine learning

期刊

Journal of Parallel and Distributed Computing 封面图
Journal of Parallel and Distributed Computing
IF:
4
论文数:
3.8K
被引数:
4.8K

机构

U
universite grenoble alpes (uga)
学者数:
2.1W
论文数: 1.5W
被引数: 23
C
communaute universite grenoble alpes
学者数:
3.5W
论文数: 2.7W
被引数: 29
引用论文

引用论文

err分享
err收藏
Decentralized Frank-Wolfe Algorithm for Convex and Nonconvex Problems
err2017-11-01
err73
errOAAI
errWai, Hoi-To; Lafond, Jean; Scaglione, Anna; Moulines, Eric
err分享
err收藏
A distributed Frank-Wolfe framework for learning low-rank matrices with the trace norm
err2018-05-10
err16
errOAAI
errZheng, Wenjie; Bellet, Aarelien; Gallinari, Patrick
err分享
err收藏
学者 查看更多内容