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Smooth sensitivity and sampling in private data analysis

Nissim, Kobbi, Raskhodnikova, Sofya, Smith, Adam·2007·Proceedings of the thirty-ninth annual ACM symposium on Theory of computing

Abstract

We introduce a new, generic framework for private data analysis.The goal of private data analysis is to release aggregate information about a data set while protecting the privacy of the individuals whose information the data set contains.Our framework allows one to release functions f of the data withinstance-based additive noise. That is, the noise magnitude is determined not only by the function we want to release, but also bythe database itself. One of the challenges is to ensure that the noise magnitude does not leak information about the database. To address that, we calibrate the noise magnitude to the smoothsensitivity of f on the database x --- a measure of variabilityof f in the neighborhood of the instance x. The new frameworkgreatly expands the applicability of output perturbation, a technique for protecting individuals' privacy by adding a smallamount of random noise to the released statistics. To our knowledge, this is the first formal analysis of the effect of instance-basednoise in the context of data privacy.

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Metadata

Authors
Nissim, K., Raskhodnikova, S., & Smith, A.
Venue
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
Publisher
ACM
Published
2007-06-11
Pages
75-84
OpenAlex
W2101771965
Cited by
974
References
3
FWCI
15.18
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: Smooth sensitivity and sampling in private data analysis. https://app.cochat.ai/papers/10.1145/1250790.1250803
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Nissim, K., Raskhodnikova, S., & Smith, A. (2007). Smooth sensitivity and sampling in private data analysis. Proceedings of the thirty-ninth annual ACM symposium on Theory of computing. https://doi.org/10.1145/1250790.1250803

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.