Locally differentially private distributed algorithms for set intersection and union [Letter]

Xue, Qiao and Zhu, Youwen and Wang, Jian and Li, Xingxin and Zhang, Ji (2020) Locally differentially private distributed algorithms for set intersection and union [Letter]. Science China Information Sciences. ISSN 1674-733X


Abstract

Privacy-preserving distributed set intersection and union (PPSI, PPSU) have received much attention in recent years because of their wide applications. Most of existing solutions utilize secure multiparty computation protocols (SMCP) to settle the problem, but the SMCP methods are expensive in computation and communication. Even worse, most SMCP methods hardly continue to work if some participants disconnect. In this paper, we consider a distributed model where each data owner has a secret set. Then, we design effective and high-efficiency PPSI/PPSU mechanisms under local differential privacy (LDP), which are suitable for normal sets and multisets. In our proposed schemes, each data owner first sanitizes his own set locally to protect sensitive information. Then, the collector gathers these sanitized datasets from data owners, and estimates the intersection and union from the sanitized sets. Through theoretical analysis, we prove the designed schemes satisfy LDP. Further, we show that our schemes can tolerate the disconnection of some data owners and resist collusion attack of participants. In addition, our schemes have low computation and communication costs. Finally, we evaluate the proposed schemes by conducting extensive experiments, which confirm the effectiveness and efficiency of our schemes.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Faculty/School / Institute/Centre: Historic - Institute for Resilient Regions - Centre for Health, Informatics and Economic Research (1 Aug 2018 - 31 Mar 2020)
Date Deposited: 17 Feb 2021 01:26
Last Modified: 18 Mar 2021 02:13
Fields of Research (2008): 08 Information and Computing Sciences > 0803 Computer Software > 080303 Computer System Security
08 Information and Computing Sciences > 0805 Distributed Computing > 080501 Distributed and Grid Systems
Fields of Research (2020): 46 INFORMATION AND COMPUTING SCIENCES > 4604 Cybersecurity and privacy > 460402 Data and information privacy
Identification Number or DOI: https://doi.org/10.1007/s11432-018-9899-8
URI: http://eprints.usq.edu.au/id/eprint/38318

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