A Theoretical Framework for Energy-Aware Gradient Pruning in Federated Learning

Fuente: arXiv
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1. Verfasser: Athanasakos, Emmanouil M.
Format: Preprint
Veröffentlicht: 2026
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author Athanasakos, Emmanouil M.
author_facet Athanasakos, Emmanouil M.
contents Federated Learning (FL) is constrained by the communication and energy limitations of decentralized edge devices. While gradient sparsification via Top-K magnitude pruning effectively reduces the communication payload, it remains inherently energy-agnostic. It assumes all parameter updates incur identical downstream transmission and memory-update costs, ignoring hardware realities. We formalize the pruning process as an energy-constrained projection problem that accounts for the hardware-level disparities between memory-intensive and compute-efficient operations during the post-backpropagation phase. We propose Cost-Weighted Magnitude Pruning (CWMP), a selection rule that prioritizes parameter updates based on their magnitude relative to their physical cost. We demonstrate that CWMP is the optimal greedy solution to this constrained projection and provide a probabilistic analysis of its global energy efficiency. Numerical results on a non-IID CIFAR-10 benchmark show that CWMP consistently establishes a superior performance-energy Pareto frontier compared to the Top-K baseline.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22465
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Theoretical Framework for Energy-Aware Gradient Pruning in Federated Learning
Athanasakos, Emmanouil M.
Machine Learning
Distributed, Parallel, and Cluster Computing
Information Theory
Networking and Internet Architecture
Federated Learning (FL) is constrained by the communication and energy limitations of decentralized edge devices. While gradient sparsification via Top-K magnitude pruning effectively reduces the communication payload, it remains inherently energy-agnostic. It assumes all parameter updates incur identical downstream transmission and memory-update costs, ignoring hardware realities. We formalize the pruning process as an energy-constrained projection problem that accounts for the hardware-level disparities between memory-intensive and compute-efficient operations during the post-backpropagation phase. We propose Cost-Weighted Magnitude Pruning (CWMP), a selection rule that prioritizes parameter updates based on their magnitude relative to their physical cost. We demonstrate that CWMP is the optimal greedy solution to this constrained projection and provide a probabilistic analysis of its global energy efficiency. Numerical results on a non-IID CIFAR-10 benchmark show that CWMP consistently establishes a superior performance-energy Pareto frontier compared to the Top-K baseline.
title A Theoretical Framework for Energy-Aware Gradient Pruning in Federated Learning
topic Machine Learning
Distributed, Parallel, and Cluster Computing
Information Theory
Networking and Internet Architecture
url https://arxiv.org/abs/2603.22465