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arXiv 2302.04787cs.LGcs.CRcs.DC
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分布式学习中隐私-鲁棒性-效用三元悖论研究

On the Privacy-Robustness-Utility Trilemma in Distributed Learning

Ecole Polytechnique Fédérale de Lausanne (EPFL)(洛桑联邦理工学院)

Youssef Allouah, Rachid Guerraoui, Nirupam Gupta, Rafael Pinot, John Stephan

AI总结:

本文首次对分布式学习中同时满足差分隐私和对抗鲁棒性的算法误差进行紧致分析,揭示隐私-鲁棒性-效用的根本权衡,并提出一种高维鲁棒聚合算法实现匹配上界。

摘要:

分布式机器学习(ML)在敏感公共领域应用中的普及,要求算法既能保护数据隐私,又能对故障和对抗行为具有鲁棒性。尽管隐私和鲁棒性已在分布式ML中分别得到了广泛研究,但二者的综合仍然理解不足。我们首次对任何算法在确保对一部分对抗性机器具有鲁棒性、同时对诚实机器的数据提供差分隐私(DP)以防止任何其他好奇实体窥探的情况下所产生的误差进行了紧致分析。我们的分析揭示了隐私、鲁棒性和效用之间的根本性权衡。为证明下界,我们考虑了在分布式DP和鲁棒性约束下的均值估计情形,并设计了到中心化单向边际估计的归约。我们通过提出一种使用高维鲁棒聚合规则的新型分布式ML算法来证明匹配的上界。该算法在误差中摊销了对维度的依赖(由对抗性工作节点和DP引起),同时对数据的统计特性保持不可知。

英文摘要:

The ubiquity of distributed machine learning (ML) in sensitive public domain applications calls for algorithms that protect data privacy, while being robust to faults and adversarial behaviors. Although privacy and robustness have been extensively studied independently in distributed ML, their synthesis remains poorly understood. We present the first tight analysis of the error incurred by any algorithm ensuring robustness against a fraction of adversarial machines, as well as differential privacy (DP) for honest machines' data against any other curious entity. Our analysis exhibits a fundamental trade-off between privacy, robustness, and utility. To prove our lower bound, we consider the case of mean estimation, subject to distributed DP and robustness constraints, and devise reductions to centralized estimation of one-way marginals. We prove our matching upper bound by presenting a new distributed ML algorithm using a high-dimensional robust aggregation rule. The latter amortizes the dependence on the dimension in the error (caused by adversarial workers and DP), while being agnostic to the statistical properties of the data.

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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