A Zeroth-order Resilient Algorithm for Distributed Online Optimization against Byzantine Edge Attacks

Fuente: arXiv
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Hauptverfasser: Liu, Yuhang, Mei, Wenjun
Format: Preprint
Veröffentlicht: 2025
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author Liu, Yuhang
Mei, Wenjun
author_facet Liu, Yuhang
Mei, Wenjun
contents In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adversaries and the objective function are time-varying. Moreover, we focus on the scenario where the complete time-varying objective function cannot be observed, and only its value at a certain point is available. Using deterministic difference, we design a zeroth-order distributed online optimization algorithm against Byzantine edge attacks and provide an upper bound on the dynamic regret of the algorithm. Finally, a simulation example is given justifying the theoretical results.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05104
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Zeroth-order Resilient Algorithm for Distributed Online Optimization against Byzantine Edge Attacks
Liu, Yuhang
Mei, Wenjun
Optimization and Control
In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adversaries and the objective function are time-varying. Moreover, we focus on the scenario where the complete time-varying objective function cannot be observed, and only its value at a certain point is available. Using deterministic difference, we design a zeroth-order distributed online optimization algorithm against Byzantine edge attacks and provide an upper bound on the dynamic regret of the algorithm. Finally, a simulation example is given justifying the theoretical results.
title A Zeroth-order Resilient Algorithm for Distributed Online Optimization against Byzantine Edge Attacks
topic Optimization and Control
url https://arxiv.org/abs/2511.05104