arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2402.14397cs.CRcs.LG
收藏

针对记录级推断的DP-SGD闭式界

Closed-Form Bounds for DP-SGD against Record-level Inference

Microsoft Security Response Center(微软安全响应中心);Microsoft Azure Research(微软Azure研究院);Microsoft M365 Research(微软M365研究院)

Giovanni Cherubin, Boris Köpf, Andrew Paverd, Shruti Tople, Lukas Wutschitz, Santiago Zanella-Béguelin

AI总结:

本文针对DP-SGD训练模型的记录级成员推断和属性推断威胁,通过将DP-SGD建模为信息论信道,推导出简单闭式隐私界,在匹配最先进方法精度的同时大幅提升计算效率,并提出了数据依赖的属性推断界。

摘要:

使用差分隐私(DP)算法(如DP-SGD)训练的机器学习模型能够抵御多种隐私攻击。尽管可以仅基于$(\varepsilon,\delta)$-DP保证为某些攻击推导出界,但有意义的界需要足够小的隐私预算(即注入大量噪声),这会导致效用大幅下降。本文提出了一种新方法,用于评估机器学习模型针对特定记录级威胁(如成员推断和属性推断)的隐私性,而无需通过DP进行间接推导。我们聚焦于流行的DP-SGD算法,并推导出简单的闭式界。我们的证明将DP-SGD建模为一个信息论信道,其输入是攻击者想要推断的秘密(例如数据记录的成员身份),其输出是由迭代优化产生的中间模型参数。我们得到的成员推断界与最先进技术相匹配,同时计算速度提高了数个数量级。此外,我们提出了一种新颖的针对属性推断的数据依赖界。我们的结果提供了一种直接、可解释且实用的方法,用于在不牺牲效用的情况下评估已训练模型针对特定推断威胁的隐私性。

英文摘要:

Machine learning models trained with differentially-private (DP) algorithms such as DP-SGD enjoy resilience against a wide range of privacy attacks. Although it is possible to derive bounds for some attacks based solely on an $(\varepsilon,δ)$-DP guarantee, meaningful bounds require a small enough privacy budget (i.e., injecting a large amount of noise), which results in a large loss in utility. This paper presents a new approach to evaluate the privacy of machine learning models against specific record-level threats, such as membership and attribute inference, without the indirection through DP. We focus on the popular DP-SGD algorithm, and derive simple closed-form bounds. Our proofs model DP-SGD as an information theoretic channel whose inputs are the secrets that an attacker wants to infer (e.g., membership of a data record) and whose outputs are the intermediate model parameters produced by iterative optimization. We obtain bounds for membership inference that match state-of-the-art techniques, whilst being orders of magnitude faster to compute. Additionally, we present a novel data-dependent bound against attribute inference. Our results provide a direct, interpretable, and practical way to evaluate the privacy of trained models against specific inference threats without sacrificing utility.

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。

↑