Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation

With the growth of terminal devices and data traffic, privacy concerns have inspired an innovative edge learning framework, called federated learning (FL). Over-the-air computation (OAC) has been introduced to reduce communication overhead for FL, however, requires stringent time alignment. Misalign...

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Main Authors: Jianda Wang, Shuaishuai Guo
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Open Journal of the Communications Society
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10302307/
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author Jianda Wang
Shuaishuai Guo
author_facet Jianda Wang
Shuaishuai Guo
author_sort Jianda Wang
collection DOAJ
description With the growth of terminal devices and data traffic, privacy concerns have inspired an innovative edge learning framework, called federated learning (FL). Over-the-air computation (OAC) has been introduced to reduce communication overhead for FL, however, requires stringent time alignment. Misaligned OAC has been proposed by recent research where the symbol-timing misaligned superimposed signal can be recovered via whitening matched filtering and sampling (WMFS), followed by maximum likelihood (ML) estimation. Similarly to aligned OAC, misaligned OAC also suffers from the straggler issue, leading to FL’s poor performance under low EsN0. To solve this issue, we propose a novel framework of misaligned OAC FL for accurate model aggregation on wireless networks. First, we analyze the effect of aggregation error on the convergence of FL. Then, we formulate an optimization problem to minimize the distortion of the aggregation measured by mean square error (MSE) w.r.t. the transmitter equalization and receiver combining. Finally, a successive convex approximation (SCA)-based optimization algorithm is further developed to solve the resulting quadratic constrained quadratic programming. Comprehensive experiments show that the proposed algorithm achieves substantial learning performance improvement compared to existing baseline schemes and achieves the near-optimal performance of the ideal benchmark with aligned and noiseless aggregation.
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spelling doaj.art-1b6e7cb8150348e0b0c331851ae9ffb92023-11-22T00:01:44ZengIEEEIEEE Open Journal of the Communications Society2644-125X2023-01-0142881289610.1109/OJCOMS.2023.332893110302307Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air ComputationJianda Wang0https://orcid.org/0009-0003-6217-644XShuaishuai Guo1https://orcid.org/0000-0003-0885-7327School of Control Science and Engineering, Shandong University, Jinan, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, ChinaWith the growth of terminal devices and data traffic, privacy concerns have inspired an innovative edge learning framework, called federated learning (FL). Over-the-air computation (OAC) has been introduced to reduce communication overhead for FL, however, requires stringent time alignment. Misaligned OAC has been proposed by recent research where the symbol-timing misaligned superimposed signal can be recovered via whitening matched filtering and sampling (WMFS), followed by maximum likelihood (ML) estimation. Similarly to aligned OAC, misaligned OAC also suffers from the straggler issue, leading to FL’s poor performance under low EsN0. To solve this issue, we propose a novel framework of misaligned OAC FL for accurate model aggregation on wireless networks. First, we analyze the effect of aggregation error on the convergence of FL. Then, we formulate an optimization problem to minimize the distortion of the aggregation measured by mean square error (MSE) w.r.t. the transmitter equalization and receiver combining. Finally, a successive convex approximation (SCA)-based optimization algorithm is further developed to solve the resulting quadratic constrained quadratic programming. Comprehensive experiments show that the proposed algorithm achieves substantial learning performance improvement compared to existing baseline schemes and achieves the near-optimal performance of the ideal benchmark with aligned and noiseless aggregation.https://ieeexplore.ieee.org/document/10302307/Federated learningmultiple access channelsover-the-air computationasynchronouspre-equalizationreceiver combining
spellingShingle Jianda Wang
Shuaishuai Guo
Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation
IEEE Open Journal of the Communications Society
Federated learning
multiple access channels
over-the-air computation
asynchronous
pre-equalization
receiver combining
title Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation
title_full Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation
title_fullStr Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation
title_full_unstemmed Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation
title_short Joint Pre-Equalization and Receiver Combining Design for Federated Learning With Misaligned Over-the-Air Computation
title_sort joint pre equalization and receiver combining design for federated learning with misaligned over the air computation
topic Federated learning
multiple access channels
over-the-air computation
asynchronous
pre-equalization
receiver combining
url https://ieeexplore.ieee.org/document/10302307/
work_keys_str_mv AT jiandawang jointpreequalizationandreceivercombiningdesignforfederatedlearningwithmisalignedovertheaircomputation
AT shuaishuaiguo jointpreequalizationandreceivercombiningdesignforfederatedlearningwithmisalignedovertheaircomputation