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Information-Theoretic Privacy in Distributed Average Consensus

2018/09/06 by Nirupam Gupta, Jonathan Katz, Gupta, Nirupam +3 · 1 citation
Computer Science · #Cryptography and Data Security #FOS: Electrical engineering #Privacy-Preserving Technologies in Data #Security in Wireless Sensor Networks #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1809.01794

openalex publication_date 2018/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a distributed average consensus protocol that preserves the privacy of agents' inputs. Unlike the differential privacy mechanisms, the presented protocol does not affect the accuracy of the output. It is shown that the protocol preserves the information-theoretic privacy of the agents' inputs against colluding passive adversarial (or honest-but-curious) agents in the network, if the adversarial agents do not constitute a vertex cut in the underlying communication network. This implies that we can guarantee information-theoretic privacy of all the honest agents' inputs against t arbitrary colluding passive adversarial agents if the network is (t+1)-connected. The protocol is constructed by composing a distributed privacy mechanism that we propose with any (non-private) distributed average consensus algorithm.

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