Over-the-Air Federated Learning with Phase Noise: Analysis and Countermeasures

Fuente: arXiv
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Autores principales: Dahl, Martin, Larsson, Erik G.
Formato: Preprint
Publicado: 2024
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author Dahl, Martin
Larsson, Erik G.
author_facet Dahl, Martin
Larsson, Erik G.
contents Wirelessly connected devices can collaborately train a machine learning model using federated learning, where the aggregation of model updates occurs using over-the-air computation. Carrier frequency offset caused by imprecise clocks in devices will cause the phase of the over-the-air channel to drift randomly, such that late symbols in a coherence block are transmitted with lower quality than early symbols. To mitigate the effect of degrading symbol quality, we propose a scheme where one of the permutations Roll, Flip and Sort are applied on gradients before transmission. Through simulations we show that the permutations can both improve and degrade learning performance. Furthermore, we derive the expectation and variance of the gradient estimate, which is shown to grow exponentially with the number of symbols in a coherence block.
format Preprint
id arxiv_https___arxiv_org_abs_2401_08183
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Over-the-Air Federated Learning with Phase Noise: Analysis and Countermeasures
Dahl, Martin
Larsson, Erik G.
Signal Processing
Distributed, Parallel, and Cluster Computing
Wirelessly connected devices can collaborately train a machine learning model using federated learning, where the aggregation of model updates occurs using over-the-air computation. Carrier frequency offset caused by imprecise clocks in devices will cause the phase of the over-the-air channel to drift randomly, such that late symbols in a coherence block are transmitted with lower quality than early symbols. To mitigate the effect of degrading symbol quality, we propose a scheme where one of the permutations Roll, Flip and Sort are applied on gradients before transmission. Through simulations we show that the permutations can both improve and degrade learning performance. Furthermore, we derive the expectation and variance of the gradient estimate, which is shown to grow exponentially with the number of symbols in a coherence block.
title Over-the-Air Federated Learning with Phase Noise: Analysis and Countermeasures
topic Signal Processing
Distributed, Parallel, and Cluster Computing
url https://arxiv.org/abs/2401.08183