Differentially Private Clustering via Maximum Coverage
- URL: http://arxiv.org/abs/2008.12388v1
- Date: Thu, 27 Aug 2020 22:11:18 GMT
- Title: Differentially Private Clustering via Maximum Coverage
- Authors: Matthew Jones, Huy L\^e Nguyen, Thy Nguyen
- Abstract summary: We study the problem of clustering in metric spaces while preserving the privacy of individual data.
We present differential algorithms with constant multiplicative error and lower additive error.
- Score: 7.059472280274009
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This paper studies the problem of clustering in metric spaces while
preserving the privacy of individual data. Specifically, we examine
differentially private variants of the k-medians and Euclidean k-means
problems. We present polynomial algorithms with constant multiplicative error
and lower additive error than the previous state-of-the-art for each problem.
Additionally, our algorithms use a clustering algorithm without differential
privacy as a black-box. This allows practitioners to control the trade-off
between runtime and approximation factor by choosing a suitable clustering
algorithm to use.
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