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Journal Article A Bipartite Graph Neural Network Approach for Scalable Beamforming Optimization
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Authors
Junbeom Kim, Hoon Lee, Seung-Eun Hong, Seok-Hwan Park
Issue Date
2023-01
Citation
IEEE Transactions on Wireless Communications, v.22, no.1, pp.333-347
ISSN
1536-1276
Publisher
IEEE
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1109/TWC.2022.3193138
Project Code
22HH1700, 5G Open Intelligence-Defined RAN (ID-RAN) Technique based on 5G New Radio, Jeehyeon Na
Abstract
Deep learning (DL) techniques have been intensively studied for the optimization of multi-user multiple-input single-output (MU-MISO) downlink systems owing to the capability of handling nonconvex formulations. However, the fixed computation structure of existing deep neural networks (DNNs) lacks flexibility with respect to the system size, i.e., the number of antennas or users. This paper develops a bipartite graph neural network (BGNN) framework, a scalable DL solution designed for multi-Antenna beamforming optimization. The MU-MISO system is first characterized by a bipartite graph where two disjoint vertex sets, each of which consists of transmit antennas and users, are connected via pairwise edges. These vertex interconnection states are modeled by channel fading coefficients. Thus, a generic beamforming optimization process is interpreted as a computation task over a weighted bipartite graph. This approach partitions the beamforming optimization procedure into multiple suboperations dedicated to individual antenna vertices and user vertices. Separated vertex operations lead to scalable beamforming calculations that are invariant to the system size. The vertex operations are realized by a group of DNN modules that collectively form the BGNN architecture. Identical DNNs are reused at all antennas and users so that the resultant learning structure becomes flexible to the network size. Component DNNs of the BGNN are trained jointly over numerous MU-MISO configurations with randomly varying network sizes. As a result, the trained BGNN can be universally applied to arbitrary MU-MISO systems. Numerical results validate the advantages of the BGNN framework over conventional methods.
KSP Keywords
Beamforming optimization, Channel fading, Conventional methods, Deep neural network(DNN), Downlink systems, MISO systems, Multiple-input single-output(MISO), Neural network approach, Numerical results, Optimization procedure, System size