Communication Compression for Distributed Learning with Aggregate and Server-Guided Feedback

Fuente: arXiv
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Main Authors: Ortega, Tomas, Huang, Chun-Yin, Li, Xiaoxiao, Jafarkhani, Hamid
Format: Preprint
Published: 2025
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author Ortega, Tomas
Huang, Chun-Yin
Li, Xiaoxiao
Jafarkhani, Hamid
author_facet Ortega, Tomas
Huang, Chun-Yin
Li, Xiaoxiao
Jafarkhani, Hamid
contents Distributed learning, particularly Federated Learning (FL), faces a significant bottleneck in the communication cost, particularly the uplink transmission of client-to-server updates, which is often constrained by asymmetric bandwidth limits at the edge. Biased compression techniques are effective in practice, but require error feedback mechanisms to provide theoretical guarantees and to ensure convergence when compression is aggressive. Standard error feedback, however, relies on client-specific control variates, which violates user privacy and is incompatible with stateless clients common in large-scale FL. This paper proposes two novel frameworks that enable biased compression without client-side state or control variates. The first, Compressed Aggregate Feedback (CAFe), uses the globally aggregated update from the previous round as a shared control variate for all clients. The second, Server-Guided Compressed Aggregate Feedback (CAFe-S), extends this idea to scenarios where the server possesses a small private dataset; it generates a server-guided candidate update to be used as a more accurate predictor. We consider Distributed Gradient Descent (DGD) as a representative algorithm and analytically prove CAFe's superiority to Distributed Compressed Gradient Descent (DCGD) with biased compression in the non-convex regime with bounded gradient dissimilarity. We further prove that CAFe-S converges to a stationary point, with a rate that improves as the server's data become more representative. Experimental results in FL scenarios validate the superiority of our approaches over existing compression schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22623
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Communication Compression for Distributed Learning with Aggregate and Server-Guided Feedback
Ortega, Tomas
Huang, Chun-Yin
Li, Xiaoxiao
Jafarkhani, Hamid
Machine Learning
Signal Processing
Optimization and Control
68W10, 68W15, 68W40, 90C06, 90C35, 90C26
G.1.6; F.2.1; E.4
Distributed learning, particularly Federated Learning (FL), faces a significant bottleneck in the communication cost, particularly the uplink transmission of client-to-server updates, which is often constrained by asymmetric bandwidth limits at the edge. Biased compression techniques are effective in practice, but require error feedback mechanisms to provide theoretical guarantees and to ensure convergence when compression is aggressive. Standard error feedback, however, relies on client-specific control variates, which violates user privacy and is incompatible with stateless clients common in large-scale FL. This paper proposes two novel frameworks that enable biased compression without client-side state or control variates. The first, Compressed Aggregate Feedback (CAFe), uses the globally aggregated update from the previous round as a shared control variate for all clients. The second, Server-Guided Compressed Aggregate Feedback (CAFe-S), extends this idea to scenarios where the server possesses a small private dataset; it generates a server-guided candidate update to be used as a more accurate predictor. We consider Distributed Gradient Descent (DGD) as a representative algorithm and analytically prove CAFe's superiority to Distributed Compressed Gradient Descent (DCGD) with biased compression in the non-convex regime with bounded gradient dissimilarity. We further prove that CAFe-S converges to a stationary point, with a rate that improves as the server's data become more representative. Experimental results in FL scenarios validate the superiority of our approaches over existing compression schemes.
title Communication Compression for Distributed Learning with Aggregate and Server-Guided Feedback
topic Machine Learning
Signal Processing
Optimization and Control
68W10, 68W15, 68W40, 90C06, 90C35, 90C26
G.1.6; F.2.1; E.4
url https://arxiv.org/abs/2512.22623