Making Old Things New: A Unified Algorithm for Differentially Private Clustering
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929388184928256 |
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| author | la Tour, Max Dupré Henzinger, Monika Saulpic, David |
| author_facet | la Tour, Max Dupré Henzinger, Monika Saulpic, David |
| contents | As a staple of data analysis and unsupervised learning, the problem of private clustering has been widely studied under various privacy models. Centralized differential privacy is the first of them, and the problem has also been studied for the local and the shuffle variation. In each case, the goal is to design an algorithm that computes privately a clustering, with the smallest possible error. The study of each variation gave rise to new algorithms: the landscape of private clustering algorithms is therefore quite intricate.
In this paper, we show that a 20-year-old algorithm can be slightly modified to work for any of these models. This provides a unified picture: while matching almost all previously known results, it allows us to improve some of them and extend it to a new privacy model, the continual observation setting, where the input is changing over time and the algorithm must output a new solution at each time step. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_11649 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Making Old Things New: A Unified Algorithm for Differentially Private Clustering la Tour, Max Dupré Henzinger, Monika Saulpic, David Data Structures and Algorithms Cryptography and Security Machine Learning As a staple of data analysis and unsupervised learning, the problem of private clustering has been widely studied under various privacy models. Centralized differential privacy is the first of them, and the problem has also been studied for the local and the shuffle variation. In each case, the goal is to design an algorithm that computes privately a clustering, with the smallest possible error. The study of each variation gave rise to new algorithms: the landscape of private clustering algorithms is therefore quite intricate. In this paper, we show that a 20-year-old algorithm can be slightly modified to work for any of these models. This provides a unified picture: while matching almost all previously known results, it allows us to improve some of them and extend it to a new privacy model, the continual observation setting, where the input is changing over time and the algorithm must output a new solution at each time step. |
| title | Making Old Things New: A Unified Algorithm for Differentially Private Clustering |
| topic | Data Structures and Algorithms Cryptography and Security Machine Learning |
| url | https://arxiv.org/abs/2406.11649 |