Deep Graph Unfolding for Beamforming in MU-MIMO Interference Networks
Not on the map. Why?
Abstract (arXiv)
We develop an efficient and near-optimal solution for beamforming in multi-user multiple-input-multiple-output single-hop wireless ad-hoc interference networks. Inspired by the weighted minimum mean squared error (WMMSE) method, a classical approach to solving this problem, and the principle of algorithm unfolding, we present unfolded WMMSE (UWMMSE) for MU-MIMO. This method learns a parameterized functional transformation of key WMMSE parameters using graph neural networks (GNNs), where the channel and interference components of a wireless network constitute the underlying graph. These GNNs are trained through gradient descent on a network utility metric using multiple instances of the beamforming problem. Comprehensive experimental analyses illustrate the superiority of UWMMSE over the classical WMMSE and state-of-the-art learning-based methods in terms of performance, generalizability, and robustness.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 33 of its 61 references that are in the map. First posted on arXiv 2 Apr 2023.
Builds on
33 of 61 references.
References · 33
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
- 2020Benchmarking Graph Neural Networkscited by 680
- 2013Network In Networkcited by 605
- 2019Algorithm Unrolling: Interpretable, Efficient Deep Learning for Signal and Image Processingcited by 421
- 2020Model-Based Deep Learningcited by 141
- 2017Learning to Optimize: Training Deep Neural Networks for Wireless Resource Managementcited by 96
- 2018Convolutional Neural Network Architectures for Signals Supported on Graphscited by 95
- 2019Optimal Wireless Resource Allocation with Random Edge Graph Neural Networkscited by 90
- 2018Theoretical Linear Convergence of Unfolded ISTA and its Practical Weights and Thresholdscited by 85
- 2014Deep Unfolding: Model-Based Inspiration of Novel Deep Architecturescited by 77
- 2020Unfolding WMMSE using Graph Neural Networks for Efficient Power Allocationcited by 61
- 2020Neural Enhanced Belief Propagation on Factor Graphscited by 57
21 more
- 2019Deep Unfolding for Communications Systems: A Survey and Some New Directionscited by 49
- 2018Deep Unfolded Robust PCA with Application to Clutter Suppression in Ultrasoundcited by 44
- 2020Iterative Algorithm Induced Deep-Unfolding Neural Networks: Precoding Design for Multiuser MIMO Systemscited by 44
- 2018Learning Optimal Resource Allocations in Wireless Systemscited by 40
- 2018Towards Optimal Power Control via Ensembling Deep Neural Networkscited by 38
- 2016Deep Learning Markov Random Field for Semantic Segmentationcited by 27
- 2021Link Scheduling using Graph Neural Networkscited by 26
- 2019Deep Learning based Wireless Resource Allocation with Application to Vehicular Networkscited by 20
- 2015Sampling of graph signals with successive local aggregationscited by 19
- 2022Annealed Langevin Dynamics for Massive MIMO Detectioncited by 16
- 2019An Algorithm Unrolling Approach to Deep Image Deblurringcited by 14
- 2020Data-Driven Symbol Detection via Model-Based Machine Learningcited by 9
- 2022Coordinated Sum-Rate Maximization in Multicell MU-MIMO with Deep Unrollingcited by 8
- 2023Unsupervised Learning of Sampling Distributions for Particle Filterscited by 8
- 2014Optimal Design of Energy-Efficient Multi-User MIMO Systems: Is Massive MIMO the Answer?cited by 7
- 2020Learning to Continuously Optimize Wireless Resource In Episodically Dynamic Environmentcited by 6
- 2020Efficient power allocation using graph neural networks and deep algorithm unfoldingcited by 6
- 2021ML-aided power allocation for Tactical MIMOcited by 6
- 2022Graph-based Algorithm Unfolding for Energy-aware Power Allocation in Wireless Networkscited by 5
- 2020Deep unfolding of the weighted MMSE beamforming algorithmcited by 4
- 2021Stability Analysis of Unfolded WMMSE for Power Allocationcited by 2
Built on by
Citing papers per year: 2024: 3; 2025: 1; 2026: 2.
6 papers.
- 2025Deep Unfolding: Recent Developments, Theory, and Design Guidelinescited by 7
- 2024Biased Backpressure Routing Using Link Features and Graph Neural Networkscited by 2
- 2026Generative Diffusion Models of Stochastic Graph Signalscited by 2
- 2024Learning Non-myopic Power Allocation in Constrained Scenarioscited by 0
- 2024Adaptive Anomaly Detection in Network Flows with Low-Rank Tensor Decompositions and Deep Unrollingcited by 0
- 2026Agentic AI for Bilevel Long-Term Optimization of Policy-Driven Physical Layer Systemscited by 0
- 2026Generative Diffusion Models of Stochastic Graph Signals7 Jul 2026
- 2026Agentic AI for Bilevel Long-Term Optimization of Policy-Driven Physical Layer Systems23 Jun 2026
- 2025Deep Unfolding: Recent Developments, Theory, and Design Guidelines3 Dec 2025
- 2024Adaptive Anomaly Detection in Network Flows with Low-Rank Tensor Decompositions and Deep Unrolling17 Sep 2024
- 2024Biased Backpressure Routing Using Link Features and Graph Neural Networks13 Jul 2024
- 2024Learning Non-myopic Power Allocation in Constrained Scenarios18 Jan 2024