On Differentially Private Gaussian Hypothesis Testing

Kwassi H. Degue, J. L. Ny
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引用次数: 10

Abstract

Data analysis for emerging systems such as syndromic surveillance or intelligent transportation systems requires testing statistical models based on privacy-sensitive data collected from individuals, e.g., medical records or location traces. In this paper, we design a differentially private hypothesis test based on the generalized likelihood ratio method to decide if data modeled as a sequence of independent and identically distributed Gaussian random variables has a given mean value. Analytic formulas for decision thresholds and for the test’s receiver operating characteristic curve show explicitly the performance impact of the privacy constraint. We then apply the algorithm to the design of a differentially private anomaly (or fault) detector and study its performance for the analysis of a syndromic surveillance dataset from the Centers for Disease Control and Prevention in the United States.
关于差分私有高斯假设检验
对综合征监测或智能交通系统等新兴系统的数据分析需要测试基于从个人收集的隐私敏感数据(例如医疗记录或位置痕迹)的统计模型。本文设计了一种基于广义似然比方法的差分私有假设检验,以确定作为独立同分布高斯随机变量序列建模的数据是否具有给定的均值。决策阈值和测试接收者工作特征曲线的解析公式明确地显示了隐私约束对性能的影响。然后,我们将该算法应用于差分私有异常(或故障)检测器的设计,并研究其性能,用于分析来自美国疾病控制和预防中心的综合征监测数据集。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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