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Location Problems with Privacy

delete2026-01-01
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PRE
AI
Е
Е. А. Куликов
M
Michael Segal *
DOI:10.1007/978-3-032-10759-6_2delete
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Abstract

Abstract

En 中文
We examine well known facility location problems under the privacy challenges posed by big data environments. For a given set of n points U is an element of R-d, previous works have introduced the Topology Descriptor Grid (TDG) [13, 14], a privacy-preserving framework under which some approximate solutions are possible for a variety of clustering problems. In this paper, we introduce the Equidistant Location Estimation using Concentric Circles (LECC) framework in R-2, which obfuscates exact point locations while preserving their relative distances to a predetermined point. We show, under this new framework, how to obtain 2 + O(1/n)-approximate solutions for the 1-center, 1-median, 1-mean, and k-centrum problems, and O(k), O(k), O(k(2)) approximations for the k-center, k-median and k-means problems, respectively. For the TDG framework we provide a (root d, k(d-1)),(d, k(d-1)), and(d(2), k(d-1)) approximations for the k-center, k-median, and k-means problems, respectively.
Keywords:
Facility location
Privacy
Approximation algorithms

Journal

C
CYBER SECURITY, CRYPTOLOGY, AND MACHINE LEARNING, CSCML 2025
IF:
0
Papers:
25
Citations:
0

Organization

B
Ben-Gurion University of the Negev
Scholars:
2.0K
Papers: 847
Citations: 1.6W
Cited Papers

Cited Papers

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The Maximum Coverage Location Problem
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errNussbaum,Eyal; Segal,Michael; Holembovskyy,Oles
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Geo-indistinguishability
err2013-01-01
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errMiguel E. Andrés; Nicolás E. Bordenabe; Konstantinos Chatzikokolakis; Catuscia Palamidessi
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