Over-the-Air Federated Learning via Weighted Aggregation

Fuente: arXiv
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Hauptverfasser: Azimi-Abarghouyi, Seyed Mohammad, Tassiulas, Leandros
Format: Preprint
Veröffentlicht: 2024
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author Azimi-Abarghouyi, Seyed Mohammad
Tassiulas, Leandros
author_facet Azimi-Abarghouyi, Seyed Mohammad
Tassiulas, Leandros
contents This paper introduces a new federated learning scheme that leverages over-the-air computation. A novel feature of this scheme is the proposal to employ adaptive weights during aggregation, a facet treated as predefined in other over-the-air schemes. This can mitigate the impact of wireless channel conditions on learning performance, without needing channel state information at transmitter side (CSIT). We provide a mathematical methodology to derive the convergence bound for the proposed scheme in the context of computational heterogeneity and general loss functions, supplemented with design insights. Accordingly, we propose aggregation cost metrics and efficient algorithms to find optimized weights for the aggregation. Finally, through numerical experiments, we validate the effectiveness of the proposed scheme. Even with the challenges posed by channel conditions and device heterogeneity, the proposed scheme surpasses other over-the-air strategies by an accuracy improvement of 15% over the scheme using CSIT and 30% compared to the one without CSIT.
format Preprint
id arxiv_https___arxiv_org_abs_2409_07822
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Over-the-Air Federated Learning via Weighted Aggregation
Azimi-Abarghouyi, Seyed Mohammad
Tassiulas, Leandros
Information Theory
Artificial Intelligence
Machine Learning
This paper introduces a new federated learning scheme that leverages over-the-air computation. A novel feature of this scheme is the proposal to employ adaptive weights during aggregation, a facet treated as predefined in other over-the-air schemes. This can mitigate the impact of wireless channel conditions on learning performance, without needing channel state information at transmitter side (CSIT). We provide a mathematical methodology to derive the convergence bound for the proposed scheme in the context of computational heterogeneity and general loss functions, supplemented with design insights. Accordingly, we propose aggregation cost metrics and efficient algorithms to find optimized weights for the aggregation. Finally, through numerical experiments, we validate the effectiveness of the proposed scheme. Even with the challenges posed by channel conditions and device heterogeneity, the proposed scheme surpasses other over-the-air strategies by an accuracy improvement of 15% over the scheme using CSIT and 30% compared to the one without CSIT.
title Over-the-Air Federated Learning via Weighted Aggregation
topic Information Theory
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2409.07822