arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.03975cs.CRcs.LGmath.GR
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G-模的MPC协议及其在安全比较和ReLU中的应用

MPC Protocol for G-module and its Application in Secure Compare and ReLU

Ant Group(蚂蚁集团);Tongji University(同济大学)

Qizhi Zhang, Lichun Li, Shan Yin, Juanjuan Sun

摘要:

安全比较和安全选择是安全多方计算(MPC)的两个基本协议。这些协议的一个重要应用是隐私保护深度学习中的安全ReLU和DReLU计算。在本文中,我们引入G-模块,一个数学工具,重新设计这样的协议。在数学中,给定一个群G,G-模是一个阿贝尔群M,G在其上的作用与M上的阿贝尔群结构相容。我们设计了三个G-模操作的安全协议。即“G模块动作”、“跨G模块动作”和“G模块恢复”。据我们所知,这是第一个关于安全G-模运算的工作。在此基础上,我们设计了安全的比较、选择、ReLU和DReLU协议,与现有技术相比,通信效率提高了2倍到10倍。我们的协议也是非常有效的计算。它们不需要公钥操作或任何其他昂贵的操作。

英文摘要:

Secure comparison and secure selection are two fundamental MPC (secure Multi-Party Computation) protocols. One important application of these protocols is the secure ReLU and DReLU computation in privacy preserving deep learning. In this paper, we introduce G-module, a mathematics tool, to re-design such protocols. In mathematics, given a group G, a G-module is an abelian group M on which G acts compatibly with the abelian group structure on M. We design three secure protocols for three G-module operations. i.e. "G-module action", "Cross G-module action" and "G-module recover". As far as we know, this is the first work on secure G-module operations. Based on them, we design secure comparison, selection, ReLU and DReLU protocols, which improve communication efficiency by 2X to 10X compared with state of arts. Our protocols are very computation efficient too. They do not require public key operations or any other expensive operations.

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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