论文标题

私人AirComp联合学习和功率适应器利用接收器噪声

Differentially Private AirComp Federated Learning with Power Adaptation Harnessing Receiver Noise

论文作者

Koda, Yusuke, Yamamoto, Koji, Nishio, Takayuki, Morikura, Masahiro

论文摘要

通过同时利用同时的共通传输和结果波形叠加,基于空中计算(AIRCOMP)的联合学习(FL)可以实现低延迟上传和机器学习模型的聚合。这项研究旨在实现基于AIRCOMP的安全性FL,以防止恶意中央服务器从总体全球模型中推论客户的私人数据。为此,在本研究中设计了一个基于私有AIRCOMP的差异化FL,其中关键的想法是利用接收器噪声扰动注射到本质上汇总的全球模型,从而阻止了客户端私人数据的推断。但是,固有的接收器噪声的差异通常是无法控制的,这导致注入适当的噪声扰动以达到所需的隐私级别的过程非常具有挑战性。因此,本研究设计了跨客户的传输功率控制,其中有意调整接收的信号级别以有效地控制噪声扰动水平,从而达到所需的隐私水平。据观察,较高的隐私水平需要较低的传输功率,这表明隐私水平和信噪比(SNR)之间的权衡。为了更充分地了解这种权衡,得出了SNR的封闭形式表达式(相对于隐私水平),并在分析上证明了权衡。分析结果还表明,在可配置的参数中,参与客户的数量是一个关键参数,可在上述权衡下增强接收的SNR。分析结果通过数值评估得到验证。

Over-the-air computation (AirComp)-based federated learning (FL) enables low-latency uploads and the aggregation of machine learning models by exploiting simultaneous co-channel transmission and the resultant waveform superposition. This study aims at realizing secure AirComp-based FL against various privacy attacks where malicious central servers infer clients' private data from aggregated global models. To this end, a differentially private AirComp-based FL is designed in this study, where the key idea is to harness receiver noise perturbation injected to aggregated global models inherently, thereby preventing the inference of clients' private data. However, the variance of the inherent receiver noise is often uncontrollable, which renders the process of injecting an appropriate noise perturbation to achieve a desired privacy level quite challenging. Hence, this study designs transmit power control across clients, wherein the received signal level is adjusted intentionally to control the noise perturbation levels effectively, thereby achieving the desired privacy level. It is observed that a higher privacy level requires lower transmit power, which indicates the tradeoff between the privacy level and signal-to-noise ratio (SNR). To understand this tradeoff more fully, the closed-form expressions of SNR (with respect to the privacy level) are derived, and the tradeoff is analytically demonstrated. The analytical results also demonstrate that among the configurable parameters, the number of participating clients is a key parameter that enhances the received SNR under the aforementioned tradeoff. The analytical results are validated through numerical evaluations.

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