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arXiv 2106.09779cs.LGcs.CRmath.OCstat.ML
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无信任服务器的私有联邦学习:凸损失的最优算法

Private Federated Learning Without a Trusted Server: Optimal Algorithms for Convex Losses

University of Southern California(南加州大学)

Andrew Lowy, Meisam Razaviyayn

AI总结:

本文研究跨孤岛联邦学习中不信任服务器场景下的隐私保护问题,提出ISRL-DP框架,并针对凸/强凸损失给出紧致上下界,通过加速算法在更少通信轮数内达到最优界,同时借助安全混洗器在实用信任假设下实现最优中心DP速率。

摘要:

本文研究联邦学习(FL),尤其是跨孤岛联邦学习,其数据来自不信任服务器或其他孤岛的人员。在该设定下,每个孤岛(例如医院)拥有来自不同人员(例如患者)的数据,并且即使服务器或其他孤岛充当对抗性窃听者,也必须维护每个人数据(例如医疗记录)的隐私。这一需求促使了对孤岛间记录级差分隐私(ISRL-DP)的研究,该隐私要求孤岛的通信满足记录/条目级差分隐私(DP)。ISRL-DP确保孤岛i(例如医院i)中每个人(例如患者)的数据不会被泄露。ISRL-DP不同于已被广泛研究的隐私概念。中心DP和用户级DP假设人们信任服务器/其他孤岛。在光谱的另一端,本地DP假设人们完全不信任任何人(甚至不信任自己的孤岛)。ISRL-DP介于中心DP和本地DP之间,做出了(在跨孤岛联邦学习中)现实的假设:人们信任自己的孤岛,但不信任服务器或其他孤岛。在本工作中,我们针对具有凸/强凸损失函数和同质(独立同分布)孤岛数据的ISRL-DP联邦学习,提供了紧致(最多相差对数因子)的上界和下界。值得注意的是,我们证明,对于具有任意异构孤岛数据分布的光滑损失,通过一种加速的ISRL-DP算法也可以达到类似的界。我们还为ISRL-DP联邦经验风险最小化提供了紧致的上界和下界,并利用加速技术在比现有最优方法更少的通信轮数内达到最优界。最后,借助一个安全的“混洗器”来匿名化孤岛消息(但没有可信服务器),我们的算法在更实际的信任假设下达到了最优的中心DP速率。数值实验表明,我们的算法在分类和回归任务中具有有利的隐私-准确性权衡。

英文摘要:

This paper studies federated learning (FL)--especially cross-silo FL--with data from people who do not trust the server or other silos. In this setting, each silo (e.g. hospital) has data from different people (e.g. patients) and must maintain the privacy of each person's data (e.g. medical record), even if the server or other silos act as adversarial eavesdroppers. This requirement motivates the study of Inter-Silo Record-Level Differential Privacy (ISRL-DP), which requires silos' communications to satisfy record/item-level differential privacy (DP). ISRL-DP ensures that the data of each person (e.g. patient) in silo i (e.g. hospital i) cannot be leaked. ISRL-DP is different from well-studied privacy notions. Central and user-level DP assume that people trust the server/other silos. On the other end of the spectrum, local DP assumes that people do not trust anyone at all (even their own silo). Sitting between central and local DP, ISRL-DP makes the realistic assumption (in cross-silo FL) that people trust their own silo, but not the server or other silos. In this work, we provide tight (up to logarithms) upper and lower bounds for ISRL-DP FL with convex/strongly convex loss functions and homogeneous (i.i.d.) silo data. Remarkably, we show that similar bounds are attainable for smooth losses with arbitrary heterogeneous silo data distributions, via an accelerated ISRL-DP algorithm. We also provide tight upper and lower bounds for ISRL-DP federated empirical risk minimization, and use acceleration to attain the optimal bounds in fewer rounds of communication than the state-of-the-art. Finally, with a secure "shuffler" to anonymize silo messages (but without a trusted server), our algorithm attains the optimal central DP rates under more practical trust assumptions. Numerical experiments show favorable privacy-accuracy tradeoffs for our algorithm in classification and regression tasks.

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。

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