arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1401.0987cs.DBstat.ML
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用于具有合成数据库输出的平滑数据库的差异私有数据释放

Differentially Private Data Releasing for Smooth Queries with Synthetic Database Output

Chi Jin, Ziteng Wang, Junliang Huang, Yiqiao Zhong, Liwei Wang

摘要:

我们考虑准确地回答平滑查询,同时保持差分隐私。如果查询由定义在$[-1,1]^d$上的函数指定,并且该函数的偏导数直到$K$阶都是有界的,则该查询被称为$K$ -光滑的。针对$K$ -光滑查询类,提出了一种$ε$ -差分私有机制.该算法的主要优点是它输出一个合成数据库。在实际应用中,合成数据库输出很有吸引力。我们的机制达到了$O (n^{-\frac{K}{2d+K}}/ε)$的精度,并在多项式时间内运行。我们还推广的机制,以保持$(ε, δ)$ -差分隐私略有提高的准确性。在基准数据集上的大量实验表明,该机制具有良好的准确性和效率。

英文摘要:

We consider accurately answering smooth queries while preserving differential privacy. A query is said to be $K$-smooth if it is specified by a function defined on $[-1,1]^d$ whose partial derivatives up to order $K$ are all bounded. We develop an $ε$-differentially private mechanism for the class of $K$-smooth queries. The major advantage of the algorithm is that it outputs a synthetic database. In real applications, a synthetic database output is appealing. Our mechanism achieves an accuracy of $O (n^{-\frac{K}{2d+K}}/ε)$, and runs in polynomial time. We also generalize the mechanism to preserve $(ε, δ)$-differential privacy with slightly improved accuracy. Extensive experiments on benchmark datasets demonstrate that the mechanisms have good accuracy and are efficient.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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