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arXiv 2011.05530cs.LGcs.CRcs.ITmath.IT
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关于隐私保护与可验证ReLU网络的多项式逼近

On Polynomial Approximations for Privacy-Preserving and Verifiable ReLU Networks

University of Southern California (USC)(南加州大学)

Ramy E. Ali, Jinhyun So, A. Salman Avestimehr

AI总结:

针对隐私保护可验证推理中ReLU替换问题,提出带一阶项的二次多项式激活函数,在CIFAR和Tiny ImageNet上比平方函数准确率提升最高10.4%。

摘要:

将深度神经网络(DNN)推理任务外包给不可信的云会引发数据隐私和完整性问题。虽然有许多技术可以确保基于多项式的计算的隐私和完整性,但DNN涉及非多项式计算。为了解决这些挑战,已有多种隐私保护和可验证的推理技术被提出,其核心思想是用多项式激活函数替换非多项式激活函数,如线性整流单元(ReLU)函数。此类技术通常要求多项式具有整数系数或定义在有限域上。受这些需求的启发,多项工作提出用平方函数替换ReLU函数。在本工作中,我们通过实验证明,即使限制多项式具有整数系数,平方函数也不是可以替换ReLU函数的最佳二次多项式。我们转而提出一种带有一阶项的二次多项式激活函数,并通过实验表明它能带来更好的模型。我们在CIFAR和Tiny ImageNet数据集上、在VGG-16等多种架构上的实验显示,与平方函数相比,我们提出的函数将测试准确率提高了最多10.4%。

英文摘要:

Outsourcing deep neural networks (DNNs) inference tasks to an untrusted cloud raises data privacy and integrity concerns. While there are many techniques to ensure privacy and integrity for polynomial-based computations, DNNs involve non-polynomial computations. To address these challenges, several privacy-preserving and verifiable inference techniques have been proposed based on replacing the non-polynomial activation functions such as the rectified linear unit (ReLU) function with polynomial activation functions. Such techniques usually require polynomials with integer coefficients or polynomials over finite fields. Motivated by such requirements, several works proposed replacing the ReLU function with the square function. In this work, we empirically show that the square function is not the best degree-2 polynomial that can replace the ReLU function even when restricting the polynomials to have integer coefficients. We instead propose a degree-2 polynomial activation function with a first order term and empirically show that it can lead to much better models. Our experiments on the CIFAR and Tiny ImageNet datasets on various architectures such as VGG-16 show that our proposed function improves the test accuracy by up to 10.4% compared to the square function.

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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