FastLloyd: Federated, Accurate, Secure, and Tunable $k$-Means Clustering with Differential Privacy

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Hauptverfasser: Diaa, Abdulrahman, Humphries, Thomas, Kerschbaum, Florian
Format: Preprint
Veröffentlicht: 2024
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author Diaa, Abdulrahman
Humphries, Thomas
Kerschbaum, Florian
author_facet Diaa, Abdulrahman
Humphries, Thomas
Kerschbaum, Florian
contents We study the problem of privacy-preserving $k$-means clustering in the horizontally federated setting. Existing federated approaches using secure computation suffer from substantial overheads and do not offer output privacy. At the same time, differentially private (DP) $k$-means algorithms either assume a trusted central curator or significantly degrade utility by adding noise in the local DP model. Naively combining the secure and central DP solutions results in a protocol with impractical overhead. Instead, our work provides enhancements to both the DP and secure computation components, resulting in a design that is faster, more private, and more accurate than previous work. By utilizing the computational DP model, we design a lightweight, secure aggregation-based approach that achieves five orders of magnitude speed-up over state-of-the-art related work. Furthermore, we not only maintain the utility of the state-of-the-art in the central model of DP, but we improve the utility further by designing a new DP clustering mechanism.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02437
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle FastLloyd: Federated, Accurate, Secure, and Tunable $k$-Means Clustering with Differential Privacy
Diaa, Abdulrahman
Humphries, Thomas
Kerschbaum, Florian
Cryptography and Security
Machine Learning
We study the problem of privacy-preserving $k$-means clustering in the horizontally federated setting. Existing federated approaches using secure computation suffer from substantial overheads and do not offer output privacy. At the same time, differentially private (DP) $k$-means algorithms either assume a trusted central curator or significantly degrade utility by adding noise in the local DP model. Naively combining the secure and central DP solutions results in a protocol with impractical overhead. Instead, our work provides enhancements to both the DP and secure computation components, resulting in a design that is faster, more private, and more accurate than previous work. By utilizing the computational DP model, we design a lightweight, secure aggregation-based approach that achieves five orders of magnitude speed-up over state-of-the-art related work. Furthermore, we not only maintain the utility of the state-of-the-art in the central model of DP, but we improve the utility further by designing a new DP clustering mechanism.
title FastLloyd: Federated, Accurate, Secure, and Tunable $k$-Means Clustering with Differential Privacy
topic Cryptography and Security
Machine Learning
url https://arxiv.org/abs/2405.02437