iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://unpaywall.org/10.1007/S11704-016-6049-6
SMT-based query tracking for differentially private data analytics systems | Frontiers of Computer Science Skip to main content
Log in

SMT-based query tracking for differentially private data analytics systems

  • Research Article
  • Published:
Frontiers of Computer Science Aims and scope Submit manuscript

Abstract

Differential privacy enables sensitive data to be analyzed in a privacy-preserving manner. In this paper, we focus on the online setting where each analyst is assigned a privacy budget and queries the data interactively. However, existing differentially private data analytics systems such as PINQ process each query independently, which may cause an unnecessary waste of the privacy budget. Motivated by this, we present a satisfiability modulo theories (SMT)-based query tracking approach to reduce the privacy budget usage. In brief, our approach automatically locates past queries that access disjoint parts of the dataset with respect to the current query to save the privacy cost using the SMT solving techniques. To improve efficiency, we further propose an optimization based on explicitly specified column ranges to facilitate the search process. We have implemented a prototype of our approach with Z3, and conducted several sets of experiments. The results show our approach can save a considerable amount of the privacy budget and each query can be tracked efficiently within milliseconds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dwork C. Differential privacy. In: Proceedings of the 33rd International Colloquium on Automata, Languages and Programming. 2006, 1–12

    Google Scholar 

  2. McSherry F D. Privacy integrated queries: an extensible platform for privacy-preserving data analysis. Communications of the ACM, 2009, 53: 19–30

    Google Scholar 

  3. Silberschatz A, Korth H F, Sudarshan S. Database System Concepts. Vol 4. New York: McGraw-Hill, 1997

  4. McSherry F, Talwar K. Mechanism design via differential privacy. In: Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science. 2007, 94–103

    Google Scholar 

  5. De Moura L, Bjørner N. Z3: an efficient SMT solver. In: Proceedings of International Conference on Tools and Algorithms for the Construction and Analysis of Systems. 2008, 337–340

    Google Scholar 

  6. Lichman M. UCI machine learning repository. Irvine, CA: University of California. 2013

    Google Scholar 

  7. Barnett M, Chang B Y E, DeLine R, Jacobs B, Leino K R M. Boogie: a modular reusable verifier for object-oriented programs. In: Proceedings of International Conference on Formal Methods for Components and Objects. 2006, 364–387

    Chapter  Google Scholar 

  8. Kroening D, Tautschnig M. CBMC-C bounded model checker. In: Proceedings of the 20th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. 2014, 389–391

    Google Scholar 

  9. Godefroid P, Levin M Y, Molnar D A. Automated whitebox fuzz testing. In: Proceedings of Network and Distributed System Security Symposium. 2008, 151–166

    Google Scholar 

  10. Cadar C, Godefroid P, Khurshid S, Păsăreanu C S, Sen K, Tillmann N, Visser W. Symbolic execution for software testing in practice: preliminary assessment. In: Proceedings of the 33rd International Conference on Software Engineering. 2011, 1066–1071

    Google Scholar 

  11. Cimatti A, Griggio A, Schaafsma B J, Sebastiani R. The NathSAT5SMT solver. In: Proceedings of the 19th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. 2013, 93–107

    Google Scholar 

  12. Dutertre B. Yices 2.2. In: Proceedings of International Conference on Computer Aided Verification. 2014, 737–744

    Google Scholar 

  13. Xiao X,Wang G, Gehrke J. Differential privacy via wavelet transforms. IEEE Transactions on Knowledge and Data Engineering, 2011, 23(8): 1200–1214

    Article  Google Scholar 

  14. Hay M, Rastogi V, Miklau G, Suciu D. Boosting the accuracy of differentially private histograms through consistency. Proceedings of the VLDB Endowment, 2010, 3(1–2): 1021–1032

    Article  Google Scholar 

  15. Xu J, Zhang Z J, Xiao X K, Yang Y, Yu G. Differentially private histogram publication. In: Proceedings of IEEE International Conference on Data Engineering. 2012, 32–43

    Google Scholar 

  16. Chen R, Mohammed N, Fung B C M, Desai B C, Xiong L. Publishing set-valued data via differential privacy. Proceedings of the VLDB Endowment, 2011, 4(11): 1087–1098

    Google Scholar 

  17. Zhang J, Cormode G, Procopiuc C M, Srivastava D, Xiao X K. Privbayes: private data release via Bayesian networks. In: Proceedings of ACM SIGMOD International Conference on Management of Data. 2014, 1423–1434

    Google Scholar 

  18. Xiao X K, Bender G, Hay M, Gehrke J. iReduct: differential privacy with reduced relative errors. In: Proceedings of ACM SIGMOD International Conference on Management of Data. 2011, 229–240

    Google Scholar 

  19. Li C, Hay M, Rastogi V, Miklau G, McGregor A. Optimizing linear counting queries under differential privacy. In: Proceedings of the 29th ACM SIGMOD-SIGACT-SIGART Symposium on Principles of Database Systems. 2010, 123–134

    Google Scholar 

  20. Li C, Miklau G. An adaptive mechanism for accurate query answering under differential privacy. Proceedings of the VLDB Endowment, 2012, 5(6): 514–525

    Article  Google Scholar 

  21. Yuan G Z, Zhang Z J, Winslett M, Xiao X K, Yang Y, Hao Z F. Lowrank mechanism: optimizing batch queries under differential privacy. Proceedings of the VLDB Endowment, 2012, 5(11): 1352–1363

    Article  Google Scholar 

  22. Peng S F, Yang Y, Zhang Z J, Winslett M, Yu Y. Query optimization for differentially private data management systems. In: Proceedings of the 29th IEEE International Conference on Data Engineering. 2013, 1093–1104

    Google Scholar 

  23. Agrawal R, Bayardo R, Faloutsos C, Kiernan J, Rantzau R, Srikant R. Auditing compliance with a hippocratic database. In: Proceedings of the 30th International Conference on Very Large Data Bases. 2004, 516–527

    Google Scholar 

  24. Kaushik R, Ramamurthy R. Efficient auditing for complex SQL queries. In: Proceedings of ACM SIGMOD International Conference on Management of Data. 2011, 697–708

    Google Scholar 

  25. Miklau G, Suciu D. A formal analysis of information disclosure in data exchange. In: Proceedings of ACM SIGMOD International Conference on Management of Data. 2004, 575–586

    Google Scholar 

  26. Motwani R, Nabar S U, Thomas D. Auditing SQL queries. In: Proceedings of the 24th IEEE International Conference on Data Engineering. 2008, 287–296

    Google Scholar 

Download references

Acknowledgements

This work was supported in part by the National Program on Key Basic Research Project (973 Program) (2010CB328003), the National Natural Science Foundation of China (Grant Nos. 61672310, 61272001, 60903030, 91218302), and the National Key Technologies R&D Program of China (SQ2012BAJY4052).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fei He.

Additional information

Chen Luo received his BS degree from Tongji University, China in 2013 and his Master’s degree from Tsinghua University, China in 2016. He is currently a PhD student in University of California Irvine, USA. His research interests include formal methods and database systems.

Fei He received his BS degree from the National University of Defense Technology, China in 2002, and the PhD degree from Tsinghua University, China in 2008. He is currently an associate professor in the School of Software at Tsinghua University, China. His research interests include satisfiability, model checking, compositional reasoning, and their applications to embedded systems.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Luo, C., He, F. SMT-based query tracking for differentially private data analytics systems. Front. Comput. Sci. 12, 1192–1207 (2018). https://doi.org/10.1007/s11704-016-6049-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11704-016-6049-6

Keywords

Navigation