arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2105.03033cs.LG
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差分私有两两学习的更尖锐效用界

Towards Sharper Utility Bounds for Differentially Private Pairwise Learning

Institute of Information Engineering, Chinese Academy of Sciences(中国科学院信息工程研究所);School of Cyber Security, University of Chinese Academy of Sciences(中国科学院大学网络空间安全学院);Renmin University of China(中国人民大学)

Yilin Kang, Yong Liu, Jian Li, Weiping Wang

摘要:

成对学习专注于具有成对损失函数的学习任务,依赖于成对的训练实例,并且自然适合于对样本之间的关系建模。本文针对成对学习的隐私问题,提出了一种新的基于梯度扰动的差分隐私算法。除了隐私保证,我们还分析了超额人口风险,并给出了相应的界限在期望和高概率条件下。我们分别用\textit{on-average stability}和\textit{pairwise locally elastic stability}理论分析了期望界和高概率界。此外,我们分析的效用界不需要凸的成对损失函数,这意味着我们的方法是一般的凸和非凸的条件。在这种情况下,效用界类似于(或优于)以前的凸性或强凸性假设下的界,这是有吸引力的结果。

英文摘要:

Pairwise learning focuses on learning tasks with pairwise loss functions, depends on pairs of training instances, and naturally fits for modeling relationships between pairs of samples. In this paper, we focus on the privacy of pairwise learning and propose a new differential privacy paradigm for pairwise learning, based on gradient perturbation. Except for the privacy guarantees, we also analyze the excess population risk and give corresponding bounds under both expectation and high probability conditions. We use the \textit{on-average stability} and the \textit{pairwise locally elastic stability} theories to analyze the expectation bound and the high probability bound, respectively. Moreover, our analyzed utility bounds do not require convex pairwise loss functions, which means that our method is general to both convex and non-convex conditions. Under these circumstances, the utility bounds are similar to (or better than) previous bounds under convexity or strongly convexity assumption, which are attractive results.

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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