Gradient Projection onto Historical Descent Directions for Communication-Efficient Federated Learning

Fuente: arXiv
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Autori principali: Descours, Arnaud, Deroose, Léonard, Ramon, Jan
Natura: Preprint
Pubblicazione: 2025
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author Descours, Arnaud
Deroose, Léonard
Ramon, Jan
author_facet Descours, Arnaud
Deroose, Léonard
Ramon, Jan
contents Federated Learning (FL) enables decentralized model training across multiple clients while optionally preserving data privacy. However, communication efficiency remains a critical bottleneck, particularly for large-scale models. In this work, we introduce two complementary algorithms: ProjFL, designed for unbiased compressors, and ProjFL+EF, tailored for biased compressors through an Error Feedback mechanism. Both methods rely on projecting local gradients onto a shared client-server subspace spanned by historical descent directions, enabling efficient information exchange with minimal communication overhead. We establish convergence guarantees for both algorithms under strongly convex, convex, and non-convex settings. Empirical evaluations on standard FL classification benchmarks with deep neural networks show that ProjFL and ProjFL+EF achieve accuracy comparable to existing baselines while substantially reducing communication costs.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05593
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gradient Projection onto Historical Descent Directions for Communication-Efficient Federated Learning
Descours, Arnaud
Deroose, Léonard
Ramon, Jan
Machine Learning
Neural and Evolutionary Computing
Optimization and Control
Statistics Theory
Federated Learning (FL) enables decentralized model training across multiple clients while optionally preserving data privacy. However, communication efficiency remains a critical bottleneck, particularly for large-scale models. In this work, we introduce two complementary algorithms: ProjFL, designed for unbiased compressors, and ProjFL+EF, tailored for biased compressors through an Error Feedback mechanism. Both methods rely on projecting local gradients onto a shared client-server subspace spanned by historical descent directions, enabling efficient information exchange with minimal communication overhead. We establish convergence guarantees for both algorithms under strongly convex, convex, and non-convex settings. Empirical evaluations on standard FL classification benchmarks with deep neural networks show that ProjFL and ProjFL+EF achieve accuracy comparable to existing baselines while substantially reducing communication costs.
title Gradient Projection onto Historical Descent Directions for Communication-Efficient Federated Learning
topic Machine Learning
Neural and Evolutionary Computing
Optimization and Control
Statistics Theory
url https://arxiv.org/abs/2511.05593