Finding geometric medians with location privacy

Eyal Nussbaum, Michael Segal

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We examine the problem of discovering the set P of points in a given topology which constitutes a k-median set for that topology, while maintaining location privacy. That is, there exists a set U of points in a d-dimensional topology for which a k-median set must be found by some algorithm A, without disclosing the location of points in U to the executor of A. We define a privacy preserving data model for a coordinate system we call a 'Topology Descriptor Grid', and show how it can be used to find the rectilinear 1-median of the system and a constant factor approximation for the Euclidean 1-median. Additionally, we achieve a constant factor approximation for the rectilinear 2-median of a grid topology.

Original languageEnglish
Title of host publicationProceedings - 2020 IEEE 19th International Conference on Trust, Security and Privacy in Computing and Communications, TrustCom 2020
EditorsGuojun Wang, Ryan Ko, Md Zakirul Alam Bhuiyan, Yi Pan
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1874-1881
Number of pages8
ISBN (Electronic)9781665403924
DOIs
StatePublished - 1 Dec 2020
Event19th IEEE International Conference on Trust, Security and Privacy in Computing and Communications, TrustCom 2020 - Guangzhou, China
Duration: 29 Dec 20201 Jan 2021

Publication series

NameProceedings - 2020 IEEE 19th International Conference on Trust, Security and Privacy in Computing and Communications, TrustCom 2020

Conference

Conference19th IEEE International Conference on Trust, Security and Privacy in Computing and Communications, TrustCom 2020
Country/TerritoryChina
CityGuangzhou
Period29/12/201/01/21

Keywords

  • Approximation
  • K-median
  • Location Privacy
  • Privacy
  • Rectilinear Median

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Software
  • Information Systems and Management
  • Safety, Risk, Reliability and Quality

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