arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.06153cs.LGcs.CR
收藏

差分私有查询查询的松弛边缘一致性

Relaxed Marginal Consistency for Differentially Private Query Answering

College of Information and Computer Sciences(信息与计算机科学学院);University of Massachusetts(马萨诸塞大学)

Ryan McKenna, Siddhant Pradhan, Daniel Sheldon, Gerome Miklau

摘要:

许多用于回答数据库查询的差分私有算法涉及从噪声测量重构离散数据分布的步骤。这提供了一致的查询答案并减少了错误,但通常需要随维度呈指数级增长的空间。Private-PGM是最近的一种方法,它使用图形模型来表示数据分布,其复杂性与图形模型中的精确边缘推断的复杂性成比例,该图形模型的结构由噪声测量中的变量的共现确定。Private-PGM对于稀疏测量是高度可扩展的,但是可能无法在具有密集测量的高维中运行。我们克服了私人PGM的主要可扩展性限制,通过一个原则性的方法,放松一致性约束的估计目标。我们的新方法适用于许多现有的私人查询回答算法,提高了可扩展性或准确性,没有隐私成本。

英文摘要:

Many differentially private algorithms for answering database queries involve a step that reconstructs a discrete data distribution from noisy measurements. This provides consistent query answers and reduces error, but often requires space that grows exponentially with dimension. Private-PGM is a recent approach that uses graphical models to represent the data distribution, with complexity proportional to that of exact marginal inference in a graphical model with structure determined by the co-occurrence of variables in the noisy measurements. Private-PGM is highly scalable for sparse measurements, but may fail to run in high dimensions with dense measurements. We overcome the main scalability limitation of Private-PGM through a principled approach that relaxes consistency constraints in the estimation objective. Our new approach works with many existing private query answering algorithms and improves scalability or accuracy with no privacy cost.

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。

↑