arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2504.08086cs.LGcs.CRcs.DB
收藏

基于平滑敏感度的差分隐私选择

Differentially Private Selection using Smooth Sensitivity

Iago Chaves, Victor Farias, Amanda Perez, Diego Mesquita, Javam Machado

AI总结:

针对差分隐私选择中全局敏感度方法噪声过大的问题,提出利用平滑敏感度的SNM机制,其预期误差上限更紧,在百分位数选择等三个应用中准确性优于现有方法。

摘要:

差分隐私选择机制为旨在基于数据集依赖的效用函数从有限集合R中识别得分最高元素r的查询提供了强大的隐私保障。尽管选择查询在数据科学中至关重要,但有效确保其隐私的机制却很少。此外,大多数方法依赖全局敏感度来实现差分隐私(DP),这可能引入过多噪声并损害下游推理。为解决这一局限,我们提出平滑噪声最大化(SNM)机制,该机制利用平滑敏感度,与基于全局敏感度的方法相比,能产生可证明更紧的(上限)预期误差。实证结果表明,在百分位数选择、贪心决策树和随机森林这三个应用中,SNM比最先进的差分隐私选择方法更准确。

英文摘要:

Differentially private selection mechanisms offer strong privacy guarantees for queries aiming to identify the top-scoring element r from a finite set R, based on a dataset-dependent utility function. While selection queries are fundamental in data science, few mechanisms effectively ensure their privacy. Furthermore, most approaches rely on global sensitivity to achieve differential privacy (DP), which can introduce excessive noise and impair downstream inferences. To address this limitation, we propose the Smooth Noisy Max (SNM) mechanism, which leverages smooth sensitivity to yield provably tighter (upper bounds on) expected errors compared to global sensitivity-based methods. Empirical results demonstrate that SNM is more accurate than state-of-the-art differentially private selection methods in three applications: percentile selection, greedy decision trees, and random forests.

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。

↑