Decentralized Online Optimization With Compressed Communication Over Directed Graphs

  • Honglei Liu
  • , Baoyong Zhang*
  • , Zhan Yu*
  • , Deming Yuan
  • , Mingcheng Dai
  • *Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

Abstract

This article focuses on a decentralized online optimization problem over multiagent systems, where the interactions are modeled by a strongly connected directed graph. The objective of each agent is to minimize the global loss function accumulated by all agents’ local loss functions, which are time-varying and only known by themselves. To address the communication bottleneck caused by the high-dimensional data and large-scale networks, we design a decentralized online algorithm with compressed communication, decentralized online gradient push-sum with compressed communication (CC-DOGPS). For strongly convex functions, a sublinear regret bound O(InT 2) of our designed algorithm is obtained, where T is the time horizon. Finally, two numerical simulations are given to validate the theoretical results and illustrate the efficiency of our designed algorithm.

Original languageEnglish
Number of pages13
JournalIEEE Transactions on Neural Networks and Learning Systems
DOIs
Publication statusE-pub ahead of print - 28 Oct 2025

User-Defined Keywords

  • Compressed communication
  • decentralized online optimization
  • directed graph
  • push-sum

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