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arXiv 2002.01582cs.DBcs.CR
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局部差分隐私下的线性查询负载自适应机制

A workload-adaptive mechanism for linear queries under local differential privacy

Ryan McKenna, Raj Kumar Maity, Arya Mazumdar, Gerome Miklau

摘要:

我们提出了一种新的机制,以准确地回答用户提供的一组线性计数查询下的本地差分隐私(LDP)。给定一组线性计数查询(工作负载),我们的机制会自动适应,以提供工作负载查询的准确性。我们定义了一个参数类的机制,产生无偏估计的工作量,并制定了一个约束优化问题,从这个类中选择一个机制,最大限度地减少预期的总平方误差。我们使用投影梯度下降数值解决这个优化问题,并提供了一个有效的实现,可扩展到大的工作负载。我们在各种各样的设置中展示了我们基于优化的方法的有效性,表明它的性能优于许多竞争对手,甚至优于现有的工作负载机制。

英文摘要:

We propose a new mechanism to accurately answer a user-provided set of linear counting queries under local differential privacy (LDP). Given a set of linear counting queries (the workload) our mechanism automatically adapts to provide accuracy on the workload queries. We define a parametric class of mechanisms that produce unbiased estimates of the workload, and formulate a constrained optimization problem to select a mechanism from this class that minimizes expected total squared error. We solve this optimization problem numerically using projected gradient descent and provide an efficient implementation that scales to large workloads. We demonstrate the effectiveness of our optimization-based approach in a wide variety of settings, showing that it outperforms many competitors, even outperforming existing mechanisms on the workloads for which they were intended.

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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