Distributed Online Randomized Gradient-Free optimization with Compressed Communication

Fuente: arXiv
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Autores principales: Zhu, Longkang, Shi, Xinli, Xu, Xiangping, Cao, Jinde
Formato: Preprint
Publicado: 2025
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author Zhu, Longkang
Shi, Xinli
Xu, Xiangping
Cao, Jinde
author_facet Zhu, Longkang
Shi, Xinli
Xu, Xiangping
Cao, Jinde
contents This paper addresses two fundamental challenges in distributed online convex optimization: communication efficiency and optimization under limited feedback. We propose Online Compressed Gradient Tracking with one-point Bandit Feedback (OCGT-BF), a novel algorithm that harness data compression and gradient-free optimization techniques in distributed networks. Our algorithm incorporates a compression scheme with error compensation mechanisms to reduce communication overhead while maintaining convergence guarantees. Unlike traditional approaches that assume perfect communication and full gradient access, OCGT-BF operates effectively under practical constraints by combining gradient-like tracking with one-point feedback estimation. We provide theoretical analysis demonstrating the dynamic regret bounds under both bandit feedback and stochastic gradient scenarios. Finally, extensive experiments validate that OCGT-BF achieves low dynamic regret while significantly reducing communication requirements.
format Preprint
id arxiv_https___arxiv_org_abs_2504_21693
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distributed Online Randomized Gradient-Free optimization with Compressed Communication
Zhu, Longkang
Shi, Xinli
Xu, Xiangping
Cao, Jinde
Optimization and Control
This paper addresses two fundamental challenges in distributed online convex optimization: communication efficiency and optimization under limited feedback. We propose Online Compressed Gradient Tracking with one-point Bandit Feedback (OCGT-BF), a novel algorithm that harness data compression and gradient-free optimization techniques in distributed networks. Our algorithm incorporates a compression scheme with error compensation mechanisms to reduce communication overhead while maintaining convergence guarantees. Unlike traditional approaches that assume perfect communication and full gradient access, OCGT-BF operates effectively under practical constraints by combining gradient-like tracking with one-point feedback estimation. We provide theoretical analysis demonstrating the dynamic regret bounds under both bandit feedback and stochastic gradient scenarios. Finally, extensive experiments validate that OCGT-BF achieves low dynamic regret while significantly reducing communication requirements.
title Distributed Online Randomized Gradient-Free optimization with Compressed Communication
topic Optimization and Control
url https://arxiv.org/abs/2504.21693