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arXiv 2201.00293cs.MA
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时变有向图平均一致性的算法级置信度

Algorithm-Level Confidentiality for Average Consensus on Time-Varying Directed Graphs

Huan Gao, Yongqiang Wang

摘要:

平均一致性在分布式网络中起着关键作用,其应用范围从时间同步、信息融合、负载均衡到分散控制。现有的平均共识算法要求个体智能体与其邻居交换显式状态值,这会导致状态中敏感信息的不期望的泄露。在本文中,我们提出了一种新的平均共识算法的时变有向图,可以保护参与代理的机密性对其他参与代理。该算法在交互中注入随机性,以在算法级上混淆信息,并且可以在没有任何可信第三方或数据聚合器的帮助下确保信息理论上的隐私。通过利用共识动态对相互作用中随机变化的固有鲁棒性,我们提出的算法也可以保证平均共识的准确性。该算法是明显不同的差分隐私为基础的平均共识的方法,使机密性,通过妥协的准确性,在获得的共识值。数值模拟证实了我们所提出的方法的有效性和效率。

英文摘要:

Average consensus plays a key role in distributed networks, with applications ranging from time synchronization, information fusion, load balancing, to decentralized control. Existing average consensus algorithms require individual agents to exchange explicit state values with their neighbors, which leads to the undesirable disclosure of sensitive information in the state. In this paper, we propose a novel average consensus algorithm for time-varying directed graphs that can protect the confidentiality of a participating agent against other participating agents. The algorithm injects randomness in interaction to obfuscate information on the algorithm-level and can ensure information-theoretic privacy without the assistance of any trusted third party or data aggregator. By leveraging the inherent robustness of consensus dynamics against random variations in interaction, our proposed algorithm can also guarantee the accuracy of average consensus. The algorithm is distinctly different from differential-privacy based average consensus approaches which enable confidentiality through compromising accuracy in obtained consensus value. Numerical simulations confirm the effectiveness and efficiency of our proposed approach.

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