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arXiv · 1903.09315

Statistical Privacy in Distributed Average Consensus on Bounded Real Inputs

Nirupam Gupta·Jonathan Katz·Nikhil Chopra
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Abstract

This paper proposes a privacy protocol for distributed average consensus algorithms on bounded real-valued inputs that guarantees statistical privacy of honest agents' inputs against colluding (passive adversarial) agents, if the set of colluding agents is not a vertex cut in the underlying communication network. This implies that privacy of agents' inputs is preserved against $t$ number of arbitrary colluding agents if the connectivity of the communication network is at least $(t+1)$. A similar privacy protocol has been proposed for the case of bounded integral inputs in our previous paper~\cite{gupta2018information}. However, many applications of distributed consensus concerning distributed control or state estimation deal with real-valued inputs. Thus, in this paper we propose an extension of the privacy protocol in~\cite{gupta2018information}, for bounded real-valued agents' inputs, where bounds are known apriori to all the agents.

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Nirupam Gupta, Jonathan Katz, Nikhil Chopra. 2019-03-20. Statistical Privacy in Distributed Average Consensus on Bounded Real Inputs. https://arxiv.org/abs/1903.09315

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