Revealing information while preserving privacy
Proceedings of the twenty-second ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Smooth sensitivity and sampling in private data analysis
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
Mechanism Design via Differential Privacy
FOCS '07 Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science
A learning theory approach to non-interactive database privacy
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Universally utility-maximizing privacy mechanisms
Proceedings of the forty-first annual ACM symposium on Theory of computing
Differential privacy: a survey of results
TAMC'08 Proceedings of the 5th international conference on Theory and applications of models of computation
On the geometry of differential privacy
Proceedings of the forty-second ACM symposium on Theory of computing
Optimizing linear counting queries under differential privacy
Proceedings of the twenty-ninth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Universally optimal privacy mechanisms for minimax agents
Proceedings of the twenty-ninth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Towards an axiomatization of statistical privacy and utility
Proceedings of the twenty-ninth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Impossibility of Differentially Private Universally Optimal Mechanisms
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
Boosting the accuracy of differentially private histograms through consistency
Proceedings of the VLDB Endowment
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
Calibrating noise to sensitivity in private data analysis
TCC'06 Proceedings of the Third conference on Theory of Cryptography
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While there is a large and growing body of literature on differentially private mechanisms for answering various classes of queries, to the best of our knowledge "count-range" queries have not been studied. These are a natural class of queries that ask "is the number of rows in a relation satisfying a given predicate between two integers θ1 and θ2?" Such queries can be viewed as a simple form of SQL "having" queries. We begin by developing a provably optimal differentially private mechansim for count-range queries for a single consumer. For count queries (in contrast to countrange queries), Ghosh et al. [9] have provided a differentially private mechanism that simultaneously maximizes utility for multiple consumers. This raises the question of whether such a mechanism exists for count-range queries. We prove that the answer is no --- for count range queries, no such mechanism exists. However, perhaps surprisingly, we prove that such a mechanism does exist for "threshold" queries, which are simply count-range queries for which either θ1 = 0 or θ2 = +∞. Furthermore, we prove that this mechanism is a two-approximation for general count-range queries.