SGFusion: Stochastic Geographic Gradient Fusion in Federated Learning

Fuente: arXiv
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Main Authors: Nguyen, Khoa, Tran, Khang, Phan, NhatHai, Borcea, Cristian, Jin, Ruoming, Khalil, Issa
Format: Preprint
Published: 2025
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author Nguyen, Khoa
Tran, Khang
Phan, NhatHai
Borcea, Cristian
Jin, Ruoming
Khalil, Issa
author_facet Nguyen, Khoa
Tran, Khang
Phan, NhatHai
Borcea, Cristian
Jin, Ruoming
Khalil, Issa
contents This paper proposes Stochastic Geographic Gradient Fusion (SGFusion), a novel training algorithm to leverage the geographic information of mobile users in Federated Learning (FL). SGFusion maps the data collected by mobile devices onto geographical zones and trains one FL model per zone, which adapts well to the data and behaviors of users in that zone. SGFusion models the local data-based correlation among geographical zones as a hierarchical random graph (HRG) optimized by Markov Chain Monte Carlo sampling. At each training step, every zone fuses its local gradient with gradients derived from a small set of other zones sampled from the HRG. This approach enables knowledge fusion and sharing among geographical zones in a probabilistic and stochastic gradient fusion process with self-attention weights, such that "more similar" zones have "higher probabilities" of sharing gradients with "larger attention weights." SGFusion remarkably improves model utility without introducing undue computational cost. Extensive theoretical and empirical results using a heart-rate prediction dataset collected across 6 countries show that models trained with SGFusion converge with upper-bounded expected errors and significantly improve utility in all countries compared to existing approaches without notable cost in system scalability.
format Preprint
id arxiv_https___arxiv_org_abs_2510_23455
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SGFusion: Stochastic Geographic Gradient Fusion in Federated Learning
Nguyen, Khoa
Tran, Khang
Phan, NhatHai
Borcea, Cristian
Jin, Ruoming
Khalil, Issa
Machine Learning
This paper proposes Stochastic Geographic Gradient Fusion (SGFusion), a novel training algorithm to leverage the geographic information of mobile users in Federated Learning (FL). SGFusion maps the data collected by mobile devices onto geographical zones and trains one FL model per zone, which adapts well to the data and behaviors of users in that zone. SGFusion models the local data-based correlation among geographical zones as a hierarchical random graph (HRG) optimized by Markov Chain Monte Carlo sampling. At each training step, every zone fuses its local gradient with gradients derived from a small set of other zones sampled from the HRG. This approach enables knowledge fusion and sharing among geographical zones in a probabilistic and stochastic gradient fusion process with self-attention weights, such that "more similar" zones have "higher probabilities" of sharing gradients with "larger attention weights." SGFusion remarkably improves model utility without introducing undue computational cost. Extensive theoretical and empirical results using a heart-rate prediction dataset collected across 6 countries show that models trained with SGFusion converge with upper-bounded expected errors and significantly improve utility in all countries compared to existing approaches without notable cost in system scalability.
title SGFusion: Stochastic Geographic Gradient Fusion in Federated Learning
topic Machine Learning
url https://arxiv.org/abs/2510.23455