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A learning theory approach to non-interactive database privacy

Published: 17 May 2008 Publication History

Abstract

We demonstrate that, ignoring computational constraints, it is possible to release privacy-preserving databases that are useful for all queries over a discretized domain from any given concept class with polynomial VC-dimension. We show a new lower bound for releasing databases that are useful for halfspace queries over a continuous domain. Despite this, we give a privacy-preserving polynomial time algorithm that releases information useful for all halfspace queries, for a slightly relaxed definition of usefulness. Inspired by learning theory, we introduce a new notion of data privacy, which we call distributional privacy, and show that it is strictly stronger than the prevailing privacy notion, differential privacy.

References

[1]
M. Anthony and P. Bartlett. Neural Network Learning: Theoretical Foundations. Cambridge University Press, 1999.
[2]
M.F. Balcan, A. Blum, and S. Vempala. Kernels as features: On kernels, margins, and low-dimensional mappings. Machine Learning, 65(1):79--94, 2006.
[3]
B. Barak, K. Chaudhuri, C. Dwork, S. Kale, F. McSherry, and K. Talwar. Privacy, accuracy, and consistency too: a holistic solution to contingency table release. Proceedings of the twenty-sixth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, pages 273--282, 2007.
[4]
A. Blum, C. Dwork, F. McSherry, and K. Nissim. Practical privacy: the SuLQ framework. Proceedings of the twenty-fourth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, pages 128--138, 2005.
[5]
S. Dasgupta and A. Gupta. An elementary proof of the Johnson-Lindenstrauss Lemma. International Computer Science Institute, Technical Report, pages 99--006, 1999.
[6]
I. Dinur and K. Nissim. Revealing information while preserving privacy. Proceedings of the twenty-second ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, pages 202--210, 2003.
[7]
C. Dwork. Differential privacy. Proc. ICALP, 2006.
[8]
C. Dwork, K. Kenthapadi, F. McSherry, I. Mironov, and M. Naor. Our Data, Ourselves: Privacy via Distributed Noise Generation. Proceedings of Advances in CryptologyEurocrypt 2006, pages 486--503, 2006.
[9]
C. Dwork, F. McSherry, K. Nissim, and A. Smith. Calibrating noise to sensitivity in private data analysis. Proceedings of the 3rd Theory of Cryptography Conference, pages 265--284, 2006.
[10]
C. Dwork, F. McSherry, and K. Talwar. The price of privacy and the limits of LP decoding. Proceedings of the thirty-ninth annual ACM symposium on Theory of computing, pages 85--94, 2007.
[11]
C. Dwork and K. Nissim. Privacy-preserving datamining on vertically partitioned databases. Proc. CRYPTO, pages 528--544, 2004.
[12]
Alexandre Evfimievski, Johannes Gehrke, and Ramakrishnan Srikant. Limiting privacy breaches in privacy preserving data mining. In PODS '03: Proceedings of the twenty-second ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, pages 211--222, New York, NY, USA, 2003. ACM.
[13]
P. Indyk and R. Motwani. Approximate nearest neighbors: towards removing the curse of dimensionality. Proceedings of the thirtieth annual ACM symposium on Theory of computing, pages 604--613, 1998.
[14]
Shiva Kasiviswanathan, Homin K. Lee, Kobbi Nissim, Sofya Raskhodnikova, and Adam Smith. What can we learn privately? http://arxiv.org/abs/0803.0924v1.
[15]
F. McSherry and K. Talwar. Mechanism Design via Differential Privacy. Proceedings of the 48th Annual Symposium on Foundations of Computer Science, 2007.
[16]
K. Nissim, S. Raskhodnikova, and A. Smith. Smooth sensitivity and sampling in private data analysis. Proceedings of the thirty-ninth annual ACM symposium on Theory of computing, pages 75--84, 2007.
[17]
V. Rastogi, D. Suciu, and S. Hong. The Boundary Between Privacy and Utility in Data Publishing. VLDB, 2007.
[18]
A. J. Smola and B. Scholkopf. Learning with Kernels. MIT Press, 2002.
[19]
V. N. Vapnik. Statistical Learning Theory. John Wiley and Sons Inc., 1998.

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    cover image ACM Conferences
    STOC '08: Proceedings of the fortieth annual ACM symposium on Theory of computing
    May 2008
    712 pages
    ISBN:9781605580470
    DOI:10.1145/1374376
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    Published: 17 May 2008

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    1. learning theory
    2. non-interactive database privacy

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    May 17 - 20, 2008
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