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Privbayes : private data release via Bayesian networks
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Zhang, Jun, Cormode, Graham, Procopiuc, Cecilia, Srivastava, Divesh and Xiao, Xiaokui (2017) Privbayes : private data release via Bayesian networks. ACM Transactions on Database Systems, 42 (4). 25. doi:10.1145/3134428
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Official URL: https://doi.org/10.1145/3134428
Abstract
Privacy-preserving data publishing is an important problem that has been the focus of extensive study. The state-of-the-art solution for this problem is differential privacy, which offers a strong degree of privacy protection without making restrictive assumptions about the adversary. Existing techniques using differential privacy, however, cannot effectively handle the publication of high-dimensional data. In particular, when the input dataset contains a large number of attributes, existing methods require injecting a prohibitive amount of noise compared to the signal in the data, which renders the published data next to useless. To address the deficiency of the existing methods, this paper presents PrivBayes, a differentially private method for releasing high-dimensional data. Given a dataset D, PrivBayes first constructs a Bayesian network N, which (i) provides a succinct model of the correlations among the attributes in D and (ii) allows us to approximate the distribution of data in D using a set P of low-dimensional marginals of D. After that,
PrivBayes injects noise into each marginal in P to ensure differential privacy, and then uses the noisy marginals and the Bayesian network to construct an approximation of the data distribution in D. Finally, PrivBayes samples tuples from the approximate distribution to construct a synthetic dataset, and then releases the synthetic data. Intuitively, PrivBayes circumvents the curse of dimensionality, as it injects noise into the low-dimensional marginals in P instead of the high-dimensional dataset D. Private construction of Bayesian networks turns out to be significantly challenging, and we introduce a novel approach that uses a surrogate function for mutual information to build the model more accurately. We experimentally evaluate PrivBayes on real data, and demonstrate that it significantly outperforms existing solutions in terms of accuracy.
| Item Type: | Journal Article | ||||||||
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| Divisions: | Faculty of Science > Computer Science | ||||||||
| Journal or Publication Title: | ACM Transactions on Database Systems | ||||||||
| Publisher: | ACM | ||||||||
| ISSN: | 0362-5915 | ||||||||
| Official Date: | 13 November 2017 | ||||||||
| Dates: |
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| Date of first compliant deposit: | 18 September 2017 | ||||||||
| Volume: | 42 | ||||||||
| Number: | 4 | ||||||||
| Article Number: | 25 | ||||||||
| DOI: | 10.1145/3134428 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Publisher Statement: | © Zhang et al. ACM 2017. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in Zhang, Jun, Cormode, Graham, Procopiuc, Cecilia, Srivastava, Divesh and Xiao, Xiaokui (2017) Privbayes : private data release via Bayesian networks. ACM Transactions on Database Systems, 42 (4). 25. doi:10.1145/3134428. | ||||||||
| Access rights to Published version: | Open Access | ||||||||
| Description: | Invited Paper from SIGMOD 2016, Invited Paper from PODS 2016, Invited Paper from ICDT 2016 and Regular Papers: Volume 42 Issue 4, November 2017. |
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| Version or Related Resource: | https://doi.org/10.1145/3134428 | ||||||||
| Embodied As: | https://doi.org/10.1145/2588555.2588573 | ||||||||
| Related URLs: |
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