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Article

Graph Neural Network-Based Beamforming Optimization for Multi-BS RIS-Aided Communication Systems

1
Department of Information and Communication Engineering, Sejong University, Seoul 05006, Republic of Korea
2
Department of Convergence Engineering for Intelligent Drone, Sejong University, Seoul 05006, Republic of Korea
3
Department of Computer Engineering, Sejong University, Seoul 05006, Republic of Korea
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2732; https://doi.org/10.3390/math13172732 (registering DOI)
Submission received: 30 July 2025 / Revised: 20 August 2025 / Accepted: 22 August 2025 / Published: 25 August 2025

Abstract

The optimization of beamforming in multi-base station (multi-BS) reconfigurable intelligent surface (RIS)-aided systems is a challenging task due to its high computational complexity. This paper first demonstrates that an optimized multi-BS system exhibits superior communication performance compared to a centralized large-scale single-BS system. To efficiently solve the complex beamforming problem in the multi-BS environment, this paper proposes a novel optimization solver based on a graph neural network (GNN) that models the physical structure of the system. Experimental results show that the proposed GNN solver finds solutions of higher quality, achieving a 42% performance increase with 45% less total computational complexity compared to a conventional iterative optimization method. Furthermore, when compared to other complex AI models such as transformer and Bi-LSTM, the proposed GNN achieves similar state-of-the-art performance while having less than 1% of the parameters and a fraction of the computational cost. These findings demonstrate that the GNN is a powerful, efficient, and practical solution for beamforming optimization in multi-BS RIS-aided systems, satisfying the demands for performance, computational efficiency, and model compactness.
Keywords: reconfigurable intelligent surface (RIS); multi-BS; beamforming; graph neural network (GNN); computational efficiency; parameter efficiency. reconfigurable intelligent surface (RIS); multi-BS; beamforming; graph neural network (GNN); computational efficiency; parameter efficiency.

Share and Cite

MDPI and ACS Style

Seo, S.-H.; Choi, S.-G.; Yu, J.-H.; Choi, Y.-J.; Tong, K.-C.; Choi, M.-H.; Jung, Y.-G.; Song, H.-K.; You, Y.-H. Graph Neural Network-Based Beamforming Optimization for Multi-BS RIS-Aided Communication Systems. Mathematics 2025, 13, 2732. https://doi.org/10.3390/math13172732

AMA Style

Seo S-H, Choi S-G, Yu J-H, Choi Y-J, Tong K-C, Choi M-H, Jung Y-G, Song H-K, You Y-H. Graph Neural Network-Based Beamforming Optimization for Multi-BS RIS-Aided Communication Systems. Mathematics. 2025; 13(17):2732. https://doi.org/10.3390/math13172732

Chicago/Turabian Style

Seo, Seung-Hwan, Seong-Gyun Choi, Ji-Hee Yu, Yoon-Ju Choi, Ki-Chang Tong, Min-Hyeok Choi, Yeong-Gyun Jung, Hyoung-Kyu Song, and Young-Hwan You. 2025. "Graph Neural Network-Based Beamforming Optimization for Multi-BS RIS-Aided Communication Systems" Mathematics 13, no. 17: 2732. https://doi.org/10.3390/math13172732

APA Style

Seo, S.-H., Choi, S.-G., Yu, J.-H., Choi, Y.-J., Tong, K.-C., Choi, M.-H., Jung, Y.-G., Song, H.-K., & You, Y.-H. (2025). Graph Neural Network-Based Beamforming Optimization for Multi-BS RIS-Aided Communication Systems. Mathematics, 13(17), 2732. https://doi.org/10.3390/math13172732

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