arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2510.16331cs.CRcs.CC

基于多方计算的高效且隐私保护的二进制点积

Efficient and Privacy-Preserving Binary Dot Product via Multi-Party Computation

Fatemeh Jafarian Dehkordi, Elahe Vedadi, Alireza Feizbakhsh, Yasaman Keshtkarjahromi, Hulya Seferoglu

AI总结:

针对二进制向量按位点积的隐私协同计算问题,提出 BiMPC 框架及 DoMA 方法,结合高域随机掩码与 triot 协议,保障逐比特隐私并提升效率与可扩展性。

摘要:

在保护数据隐私与支持协同计算之间取得平衡,是分布式机器学习面临的一项关键挑战。尽管面向联邦学习的隐私保护技术已得到广泛发展,但针对涉及按位运算场景(例如基于树的纵向联邦学习(VFL))的方法仍研究不足。传统机制(包括 Shamir 秘密共享和多方计算(MPC))并未针对二进制数据上的按位运算进行优化,尤其是在每个参与者持有二进制向量不同部分的设置中。本文通过提出一种新颖的二进制多方计算(BiMPC)框架来解决现有方法的局限性。BiMPC 机制支持隐私保护的按位运算,特别关注二进制向量的点积计算,确保每个单独比特的隐私。BiMPC 的核心是一种名为“通过模加法实现点积”(DoMA)的新颖方法,该方法使用常规加法和模加法来高效计算二进制点积。为确保隐私,BiMPC 在线性计算中使用更高域中的随机掩码,并针对非线性二进制运算采用三方不经意传输(triot)协议。本文严格分析了 BiMPC 框架的隐私保证,并证明了其在分布式环境中的效率和可扩展性。

英文摘要:

Striking a balance between protecting data privacy and enabling collaborative computation is a critical challenge for distributed machine learning. While privacy-preserving techniques for federated learning have been extensively developed, methods for scenarios involving bitwise operations, such as tree-based vertical federated learning (VFL), are still underexplored. Traditional mechanisms, including Shamir's secret sharing and multi-party computation (MPC), are not optimized for bitwise operations over binary data, particularly in settings where each participant holds a different part of the binary vector. This paper addresses the limitations of existing methods by proposing a novel binary multi-party computation (BiMPC) framework. The BiMPC mechanism facilitates privacy-preserving bitwise operations, with a particular focus on dot product computations of binary vectors, ensuring the privacy of each individual bit. The core of BiMPC is a novel approach called Dot Product via Modular Addition (DoMA), which uses regular and modular additions for efficient binary dot product calculation. To ensure privacy, BiMPC uses random masking in a higher field for linear computations and a three-party oblivious transfer (triot) protocol for non-linear binary operations. The privacy guarantees of the BiMPC framework are rigorously analyzed, demonstrating its efficiency and scalability in distributed settings.

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。

↑