论文标题

分析简单线性回归的差异私有theil-sen估计器

Analyzing the Differentially Private Theil-Sen Estimator for Simple Linear Regression

论文作者

Sarathy, Jayshree, Vadhan, Salil

论文摘要

在本文中,我们研究了简单线性回归的差异私人点和置信区间估计器。最近的工作激发了基于强大的统计数据,DPTheilsen的算法的强烈经验性能,我们提供了严格的,有限的样本分析,对其隐私和准确性属性,提供有关设置超级标准的指南,并显示如何产生差异性私人置信区间以伴随其观点估计。

In this paper, we study differentially private point and confidence interval estimators for simple linear regression. Motivated by recent work that highlights the strong empirical performance of an algorithm based on robust statistics, DPTheilSen, we provide a rigorous, finite-sample analysis of its privacy and accuracy properties, offer guidance on setting hyperparameters, and show how to produce differentially private confidence intervals to accompany its point estimates.

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