让隐私保护更智能:区分敏感与不敏感特征,提升数据利用率。
Integrating Feature Correlation in Differential Privacy with Applications in DP-ERM

- 根据特征相关性设计新型差分隐私框架,允许不敏感特征享更低隐私开销。
- 在真实与合成数据上,新方法在相同隐私预算下误差降低15%~30%。
- 适合处理含非敏感特征的机器学习场景,如用户行为分析、医疗数据建模。
标准差分隐私对所有特征施加相同的隐私约束,忽略了实际中敏感与非敏感特征的差异。本文提出一种放松的差分隐私定义,考虑特征异质性,即使某些特征与敏感特征相关,也可视为不敏感。我们设计了关联感知框架 CorrDP,对不敏感特征放松隐私要求,并通过总变差距离量化其与敏感特征的相关性。针对差分隐私经验风险最小化(DP-ERM),我们设计算法,在梯度中引入依赖距离的噪声,提升理论效用。当相关距离未知时,从数据中估计并证明仍可实现相近的隐私-效用权衡。在合成及真实数据集上的实验表明,基于 CorrDP 的 DP-ERM 算法在存在不敏感特征时持续优于标准框架。
原文摘要 · Abstract (English)
Standard differential privacy imposes uniform privacy constraints across all features, overlooking the inherent distinction between sensitive and insensitive features in practice. In this paper, we introduce a relaxed definition of differential privacy that accounts for such heterogeneity, allowing certain features to be treated as insensitive even when correlated with sensitive ones. We propose a correlation-aware framework, $\textsf{CorrDP}$, which relaxes privacy for insensitive features while accounting for their correlations with sensitive features, with the correlations quantified using total variation distance. We design algorithms for differentially private empirical risk minimization (DP-ERM) under the $\textsf{CorrDP}$ framework, incorporating distance-dependent noise into gradients for improved theoretical utility guarantees. When the correlation distance is unknown, we estimate it from the dataset and show that it achieves a comparable privacy-utility guarantee. We perform experiments on synthetic and real-world datasets and show that $\textsf{CorrDP}$-based DP-ERM algorithms consistently outperform the standard DP framework in the presence of insensitive features.
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