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Optimizing linear counting queries under differential privacy (2010)
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| Venue: | In PODS ’10: Proceedings of the twenty-ninth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems of data |
| Citations: | 88 - 10 self |
BibTeX
@INPROCEEDINGS{Li10optimizinglinear,
author = {Chao Li and Michael Hay and Vibhor Rastogi and Gerome Miklau and Andrew Mcgregor},
title = {Optimizing linear counting queries under differential privacy},
booktitle = {In PODS ’10: Proceedings of the twenty-ninth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems of data},
year = {2010},
pages = {123--134},
publisher = {ACM}
}
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Abstract
Differential privacy is a robust privacy standard that has been successfully applied to a range of data analysis tasks. But despite much recent work, optimal strategies for answering a collection of related queries are not known. We propose the matrix mechanism, a new algorithm for answering a workload of predicate counting queries. Given a workload, the mechanism requests answers to a different set of queries, called a query strategy, which are answered using the standard Laplace mechanism. Noisy answers to the workload queries are then derived from the noisy answers to the strategy queries. This two stage process can result in a more complex correlated noise distribution that preserves differential privacy but increases accuracy. We provide a formal analysis of the error of query answers produced by the mechanism and investigate the problem of computing the optimal query strategy in support of a given workload. We show this problem can be formulated as a rank-constrained semidefinite program. Finally, we analyze two seemingly distinct techniques, whose similar behavior is explained by viewing them as instances of the matrix mechanism.
Keyphrases
differential privacy matrix mechanism noisy answer formal analysis workload query query answer much recent work stage process new algorithm standard laplace mechanism different set similar behavior robust privacy standard optimal query strategy query strategy noise distribution predicate counting query related query data analysis task distinct technique strategy query rank-constrained semidefinite program optimal strategy
