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Interactive Privacy via the Median Mechanism (2010)
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| Venue: | In The 42nd ACM Symposium on the Theory of Computing |
| Citations: | 71 - 15 self |
BibTeX
@INPROCEEDINGS{Roth10interactiveprivacy,
author = {Aaron Roth and Tim Roughgarden},
title = {Interactive Privacy via the Median Mechanism},
booktitle = {In The 42nd ACM Symposium on the Theory of Computing},
year = {2010}
}
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Abstract
We define a new interactive differentially private mechanism — the median mechanism — for answering arbitrary predicate queries that arrive online. Given fixed accuracy and privacy constraints, this mechanism can answer exponentially more queries than the previously best known interactive privacy mechanism (the Laplace mechanism, which independently perturbs each query result). With respect to the number of queries, our guarantee is close to the best possible, even for non-interactive privacy mechanisms. Conceptually, the median mechanism is the first privacy mechanism capable of identifying and exploiting correlations among queries in an interactive setting. We also give an efficient implementation of the median mechanism, with running time polynomial in the number of queries, the database size, and the domain size. This efficient implementation guarantees privacy for all input databases, and accurate query results for almost all input distributions. The dependence of the privacy on the number of queries in this mechanism improves over that of the best previously known efficient mechanism by a super-polynomial factor, even in the non-interactive setting.
Keyphrases
median mechanism interactive privacy efficient implementation database size non-interactive setting private mechanism interactive setting first privacy mechanism input distribution arbitrary predicate query efficient implementation guarantee privacy laplace mechanism super-polynomial factor non-interactive privacy mechanism domain size query result privacy constraint accurate query result running time polynomial interactive privacy mechanism efficient mechanism fixed accuracy input database
