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- W2120629536 abstract "A central problem in differentially private data analysis is how to design efficient algorithms capable of answering large numbers of counting queries on a sensitive database. Counting queries are of the form What fraction of individual records in the database satisfy the property q? We prove that if one-way functions exist, then there is no algorithm that takes as input a database db ∈ dbset, and k = ~Θ(n2) arbitrary efficiently computable counting queries, runs in time poly(d, n), and returns an approximate answer to each query, while satisfying differential privacy. We also consider the complexity of answering simple counting queries, and make some progress in this direction by showing that the above result holds even when we require that the queries are computable by constant-depth (AC0) circuits. Our result is almost tight because it is known that ~Ω(n2) counting queries can be answered efficiently while satisfying differential privacy. Moreover, many more than n2 queries (even exponential in n) can be answered in exponential time." @default.
- W2120629536 created "2016-06-24" @default.
- W2120629536 creator A5034669615 @default.
- W2120629536 date "2013-06-01" @default.
- W2120629536 modified "2023-09-26" @default.
- W2120629536 title "Answering n <sub>{2+o(1)}</sub> counting queries with differential privacy is hard" @default.
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- W2120629536 doi "https://doi.org/10.1145/2488608.2488653" @default.
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