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arXiv 2310.03410cs.ITcs.LGeess.SPmath.IT

结合压缩感知的空中联邦学习:稀疏化是否必要?

Over-the-Air Federated Learning with Compressed Sensing: Is Sparsification Necessary?

Linköping University(林雪平大学)

Adrian Edin, Zheng Chen

AI总结:

该研究针对空中联邦学习场景,对比了结合压缩感知的线性压缩是否需要前置稀疏化的多种通信设计,发现压缩前稀疏化并非必要,且仅稀疏化的方案性能优于两者结合的常用设置。

摘要:

空中(Over-the-Air, OtA)联邦学习(Federated Learning, FL)是指多智能体利用OtA计算向同一边缘服务器传输模型更新的FL系统。OtA计算的两个重要特性,即线性处理和信号级叠加,推动了结合压缩感知(compressed sensing, CS)方法的线性压缩的应用,以减少信道上传输的数据样本数量。\n此前将CS方法应用于OtA FL的研究主要假设原始模型更新向量是稀疏的,或者在压缩前已被稀疏化。但在相同总功率约束下,基于CS重构的线性压缩是否比直接传输稀疏化更新向量中的非零元素更有效,目前尚不明确。\n本研究考察并比较了多种采用或不采用稀疏化的通信设计。研究结果表明,压缩前的稀疏化并非必要。此外,不进行线性压缩的稀疏化方案,其性能也优于通常采用的将两者结合的设置。

英文摘要:

Over-the-Air (OtA) Federated Learning (FL) refers to an FL system where multiple agents apply OtA computation for transmitting model updates to a common edge server. Two important features of OtA computation, namely linear processing and signal-level superposition, motivate the use of linear compression with compressed sensing (CS) methods to reduce the number of data samples transmitted over the channel. The previous works on applying CS methods in OtA FL have primarily assumed that the original model update vectors are sparse, or they have been sparsified before compression. However, it is unclear whether linear compression with CS-based reconstruction is more effective than directly sending the non-zero elements in the sparsified update vectors, under the same total power constraint. In this study, we examine and compare several communication designs with or without sparsification. Our findings demonstrate that sparsification before compression is not necessary. Alternatively, sparsification without linear compression can also achieve better performance than the commonly considered setup that combines both.

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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