Fed-Sophia: A Communication-Efficient Second-Order Federated Learning Algorithm

Fuente: arXiv
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Autores principales: Elbakary, Ahmed, Issaid, Chaouki Ben, Shehab, Mohammad, Seddik, Karim, ElBatt, Tamer, Bennis, Mehdi
Formato: Preprint
Publicado: 2024
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author Elbakary, Ahmed
Issaid, Chaouki Ben
Shehab, Mohammad
Seddik, Karim
ElBatt, Tamer
Bennis, Mehdi
author_facet Elbakary, Ahmed
Issaid, Chaouki Ben
Shehab, Mohammad
Seddik, Karim
ElBatt, Tamer
Bennis, Mehdi
contents Federated learning is a machine learning approach where multiple devices collaboratively learn with the help of a parameter server by sharing only their local updates. While gradient-based optimization techniques are widely adopted in this domain, the curvature information that second-order methods exhibit is crucial to guide and speed up the convergence. This paper introduces a scalable second-order method, allowing the adoption of curvature information in federated large models. Our method, coined Fed-Sophia, combines a weighted moving average of the gradient with a clipping operation to find the descent direction. In addition to that, a lightweight estimation of the Hessian's diagonal is used to incorporate the curvature information. Numerical evaluation shows the superiority, robustness, and scalability of the proposed Fed-Sophia scheme compared to first and second-order baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2406_06655
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fed-Sophia: A Communication-Efficient Second-Order Federated Learning Algorithm
Elbakary, Ahmed
Issaid, Chaouki Ben
Shehab, Mohammad
Seddik, Karim
ElBatt, Tamer
Bennis, Mehdi
Machine Learning
Artificial Intelligence
Distributed, Parallel, and Cluster Computing
Federated learning is a machine learning approach where multiple devices collaboratively learn with the help of a parameter server by sharing only their local updates. While gradient-based optimization techniques are widely adopted in this domain, the curvature information that second-order methods exhibit is crucial to guide and speed up the convergence. This paper introduces a scalable second-order method, allowing the adoption of curvature information in federated large models. Our method, coined Fed-Sophia, combines a weighted moving average of the gradient with a clipping operation to find the descent direction. In addition to that, a lightweight estimation of the Hessian's diagonal is used to incorporate the curvature information. Numerical evaluation shows the superiority, robustness, and scalability of the proposed Fed-Sophia scheme compared to first and second-order baselines.
title Fed-Sophia: A Communication-Efficient Second-Order Federated Learning Algorithm
topic Machine Learning
Artificial Intelligence
Distributed, Parallel, and Cluster Computing
url https://arxiv.org/abs/2406.06655