Graph Neural Networks in Large Scale Wireless Communication Networks: Scalability Across Random Geometric Graphs

Fuente: arXiv
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Hauptverfasser: Camargo, Romina Garcia, Wang, Zhiyang, Ribeiro, Alejandro
Format: Preprint
Veröffentlicht: 2025
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author Camargo, Romina Garcia
Wang, Zhiyang
Ribeiro, Alejandro
author_facet Camargo, Romina Garcia
Wang, Zhiyang
Ribeiro, Alejandro
contents The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as graphs. A key property of GNNs is transferability: models trained on one graph often generalize to much larger graphs with little performance loss. While empirical studies have shown that GNN-based wireless policies transfer effectively, existing theoretical guarantees do not capture this phenomenon. Most works focus on dense graphs where node degrees scale with network size, an assumption that fails in wireless systems. In this work, we provide a formal theoretical foundation for transferability on Random Geometric Graphs (RGGs), a sparse and widely used model of wireless networks. We further validate our results through numerical experiments on power allocation, a fundamental resource management task.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00896
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Graph Neural Networks in Large Scale Wireless Communication Networks: Scalability Across Random Geometric Graphs
Camargo, Romina Garcia
Wang, Zhiyang
Ribeiro, Alejandro
Signal Processing
The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as graphs. A key property of GNNs is transferability: models trained on one graph often generalize to much larger graphs with little performance loss. While empirical studies have shown that GNN-based wireless policies transfer effectively, existing theoretical guarantees do not capture this phenomenon. Most works focus on dense graphs where node degrees scale with network size, an assumption that fails in wireless systems. In this work, we provide a formal theoretical foundation for transferability on Random Geometric Graphs (RGGs), a sparse and widely used model of wireless networks. We further validate our results through numerical experiments on power allocation, a fundamental resource management task.
title Graph Neural Networks in Large Scale Wireless Communication Networks: Scalability Across Random Geometric Graphs
topic Signal Processing
url https://arxiv.org/abs/2510.00896