arXiv:2510.18654stat.MEcs.CR2025-10被引 2

提出隐私保护的e值生成方法,确保敏感数据安全下仍保持统计有效性。

Differentially Private E-Values

  • 设计新型有偏乘性噪声机制,实现e值的差分隐私转换。
  • 在多个场景中保持强统计功效,渐近性能接近非私有版本。
  • 适合医疗、在线风险监控等需隐私保护的实时统计推断任务。

e值作为灵活的统计推断与风险控制工具,可在极少假设下实现任意时间及事后有效的分析。然而,许多实际应用依赖敏感数据,e值本身可能造成数据泄露。为确保安全发布,本文提出一种通用框架,将非私有的e值转化为差分隐私版本。为此,我们设计了一种新颖的有偏乘性噪声机制,保证转换后的e值在统计上依然有效。实验表明,所提出的差分隐私e值具有强大的统计功效,在在线风险监测、隐私医疗和置信区间预测等任务中表现优异,展示了其广泛适用性。

原文摘要 · Abstract (English)

E-values have gained prominence as flexible tools for statistical inference and risk control, enabling anytime- and post-hoc-valid procedures under minimal assumptions. However, many real-world applications fundamentally rely on sensitive data, which can be leaked through e-values. To ensure their safe release, we propose a general framework to transform non-private e-values into differentially private ones. Towards this end, we develop a novel biased multiplicative noise mechanism that ensures our e-values remain statistically valid. We show that our differentially private e-values attain strong statistical power, and are asymptotically as powerful as their non-private counterparts. Experiments across online risk monitoring, private healthcare, and conformal e-prediction demonstrate our approach's effectiveness and illustrate its broad applicability.

差分隐私统计推断e值隐私保护

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