Dynamics-Based Algorithm-Level Privacy Preservation for Push-Sum Average Consensus

Fuente: arXiv
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Autores principales: Cheng, Huqiang, Xie, Mengying, Yang, Xiaowei, Lü, Qingguo, Li, Huaqing
Formato: Preprint
Publicado: 2023
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author Cheng, Huqiang
Xie, Mengying
Yang, Xiaowei
Lü, Qingguo
Li, Huaqing
author_facet Cheng, Huqiang
Xie, Mengying
Yang, Xiaowei
Lü, Qingguo
Li, Huaqing
contents In the intricate dance of multi-agent systems, achieving average consensus is not just vital--it is the backbone of their functionality. In conventional average consensus algorithms, all agents reach an agreement by individual calculations and sharing information with their respective neighbors. Nevertheless, the information interactions that occur in the communication network may make sensitive information be revealed. In this paper, we develop a new privacy-preserving average consensus method on unbalanced directed networks. Specifically, we ensure privacy preservation by carefully embedding randomness in mixing weights to confuse communications and introducing an extra auxiliary parameter to mask the state-updated rule in several initial iterations. In parallel, we exploit the intrinsic robustness of consensus dynamics to guarantee that the average consensus is precisely achieved. Theoretical results demonstrate that the designed algorithms can converge linearly to the exact average consensus value and can guarantee privacy preservation of agents against both honest-but-curious and eavesdropping attacks. The designed algorithms are fundamentally different compared to differential privacy based algorithms that enable privacy preservation via sacrificing consensus performance. Finally, numerical experiments validate the correctness of the theoretical findings.
format Preprint
id arxiv_https___arxiv_org_abs_2304_08018
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dynamics-Based Algorithm-Level Privacy Preservation for Push-Sum Average Consensus
Cheng, Huqiang
Xie, Mengying
Yang, Xiaowei
Lü, Qingguo
Li, Huaqing
Multiagent Systems
In the intricate dance of multi-agent systems, achieving average consensus is not just vital--it is the backbone of their functionality. In conventional average consensus algorithms, all agents reach an agreement by individual calculations and sharing information with their respective neighbors. Nevertheless, the information interactions that occur in the communication network may make sensitive information be revealed. In this paper, we develop a new privacy-preserving average consensus method on unbalanced directed networks. Specifically, we ensure privacy preservation by carefully embedding randomness in mixing weights to confuse communications and introducing an extra auxiliary parameter to mask the state-updated rule in several initial iterations. In parallel, we exploit the intrinsic robustness of consensus dynamics to guarantee that the average consensus is precisely achieved. Theoretical results demonstrate that the designed algorithms can converge linearly to the exact average consensus value and can guarantee privacy preservation of agents against both honest-but-curious and eavesdropping attacks. The designed algorithms are fundamentally different compared to differential privacy based algorithms that enable privacy preservation via sacrificing consensus performance. Finally, numerical experiments validate the correctness of the theoretical findings.
title Dynamics-Based Algorithm-Level Privacy Preservation for Push-Sum Average Consensus
topic Multiagent Systems
url https://arxiv.org/abs/2304.08018