Differentially Private Distributed Optimization With an Event-Triggered Mechanism

被引：20

作者：

Mao, Shuai ^{[1
]}

Yang, Minglei ^{[2
]}

Yang, Wen ^{[2
]}

Tang, Yang ^{[2
]}

Zheng, Wei Xing ^{[3
]}

Gu, Juping ^{[1
]}

Werner, Herbert ^{[4
]}

机构：

[1] Nantong Univ, Dept Elect Engn, Nantong 226019, Peoples R China

[2] East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

[3] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney, NSW 2751, Australia

[4] Hamburg Univ Technol, Inst Control Syst, D-21073 Hamburg, Germany

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2023年 / 70卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Distributed optimization; event-triggered mechanism; differential privacy; ECONOMIC-DISPATCH; ALGORITHM;

D O I：

10.1109/TCSI.2023.3266358

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This study concentrates on the differential private distributed optimization problem with an event-triggered mechanism, whose goals include preserving the privacy of agents' initial states and local cost functions and improving communication efficiency. A distributed event-triggered mechanism is integrated into the differentially private subgradient-push distributed optimization algorithm and then a new algorithm named as DP-ETSP is designed, where the real-time information propagation among agents is avoided. Additionally, under the proposed event-triggered mechanism, an analysis of mean-square consensus and optimality over time-varying directed networks is made when the added Laplace noises meet some specific decaying conditions. Convergence rate results are further established under a specific stepsize, which are equal to the rate of stochastic gradient-push algorithm without event-triggered communication. Moreover, the differential privacy preservation performance is analyzed and the rule for selecting privacy level is discussed. Finally, the feasibility and effectiveness of DP-ETSP are verified in two simulation cases.

引用

页码：2943 / 2956

页数：14

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