Graph Neural Networks for Decentralized Controllers
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Abstract (arXiv)
Dynamical systems comprised of autonomous agents arise in many relevant problems such as multi-agent robotics, smart grids, or smart cities. Controlling these systems is of paramount importance to guarantee a successful deployment. Optimal centralized controllers are readily available but face limitations in terms of scalability and practical implementation. Optimal decentralized controllers, on the other hand, are difficult to find. In this paper, we propose a framework using graph neural networks (GNNs) to learn decentralized controllers from data. While GNNs are naturally distributed architectures, making them perfectly suited for the task, we adapt them to handle delayed communications as well. Furthermore, they are equivariant and stable, leading to good scalability and transferability properties. The problem of flocking is explored to illustrate the potential of GNNs in learning decentralized controllers.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Mar 2020.
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Citing papers per year: 2021: 7; 2022: 5; 2023: 1; 2024: 0; 2025: 0; 2026: 1.
14 papers.
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- 2021Transferability Properties of Graph Neural Networkscited by 42
- 2022Graph Neural Networks in IoT: A Surveycited by 27
- 2021Decentralized Inference with Graph Neural Networks in Wireless Communication Systemscited by 18
- 2021Predicting Basin Stability of Power Grids using Graph Neural Networkscited by 10
- 2021Robust Graph Neural Networks via Probabilistic Lipschitz Constraintscited by 10
- 2021Communication Topology Co-Design in Graph Recurrent Neural Network Based Distributed Controlcited by 6
- 2022Privacy-Preserving Decentralized Inference with Graph Neural Networks in Wireless Networkscited by 5
- 2021Optimal Solving of Constrained Path-Planning Problems with Graph Convolutional Networks and Optimized Tree Searchcited by 3
- 2022Toward Dynamic Stability Assessment of Power Grid Topologies using Graph Neural Networkscited by 3
- 2022Towards dynamic stability analysis of sustainable power grids using graph neural networkscited by 2
- 2021Decentralized Statistical Inference with Unrolled Graph Neural Networkscited by 1
- 2022Solving Disjunctive Temporal Networks with Uncertainty under Restricted Time-Based Controllability using Tree Search and Graph Neural Networkscited by 1
- 2026A Gated Graph Neural Network Approach to Fast-Convergent Dynamic Average Estimation18 Jun 2026
- 2023Transferability of Convolutional Neural Networks in Stationary Learning Tasks21 Jul 2023
- 2022Towards dynamic stability analysis of sustainable power grids using graph neural networks21 Dec 2022
- 2022Privacy-Preserving Decentralized Inference with Graph Neural Networks in Wireless Networks15 Aug 2022
- 2022Toward Dynamic Stability Assessment of Power Grid Topologies using Graph Neural Networks10 Jun 2022
- 2022Graph Neural Networks in IoT: A Survey29 Mar 2022
- 2022Solving Disjunctive Temporal Networks with Uncertainty under Restricted Time-Based Controllability using Tree Search and Graph Neural Networks28 Mar 2022
- 2021Robust Graph Neural Networks via Probabilistic Lipschitz Constraints14 Dec 2021
- 2021Transferability Properties of Graph Neural Networks9 Dec 2021
- 2021Predicting Basin Stability of Power Grids using Graph Neural Networks18 Aug 2021
- 2021Optimal Solving of Constrained Path-Planning Problems with Graph Convolutional Networks and Optimized Tree Search2 Aug 2021
- 2021Communication Topology Co-Design in Graph Recurrent Neural Network Based Distributed Control28 Apr 2021
- 2021Transferability Properties of Graph Neural Networkscited by 42
- 2022Graph Neural Networks in IoT: A Surveycited by 27
- 2021Decentralized Inference with Graph Neural Networks in Wireless Communication Systemscited by 18
- 2021Predicting Basin Stability of Power Grids using Graph Neural Networkscited by 10
- 2021Robust Graph Neural Networks via Probabilistic Lipschitz Constraintscited by 10
- 2021Communication Topology Co-Design in Graph Recurrent Neural Network Based Distributed Controlcited by 6
- 2022Privacy-Preserving Decentralized Inference with Graph Neural Networks in Wireless Networkscited by 5
- 2021Optimal Solving of Constrained Path-Planning Problems with Graph Convolutional Networks and Optimized Tree Searchcited by 3
- 2022Toward Dynamic Stability Assessment of Power Grid Topologies using Graph Neural Networkscited by 3
- 2022Towards dynamic stability analysis of sustainable power grids using graph neural networkscited by 2
- 2021Decentralized Statistical Inference with Unrolled Graph Neural Networkscited by 1
- 2022Solving Disjunctive Temporal Networks with Uncertainty under Restricted Time-Based Controllability using Tree Search and Graph Neural Networkscited by 1
12 most cited of 14 All 14 (JSON)
- 2026A Gated Graph Neural Network Approach to Fast-Convergent Dynamic Average Estimation18 Jun 2026
- 2023Transferability of Convolutional Neural Networks in Stationary Learning Tasks21 Jul 2023
- 2022Towards dynamic stability analysis of sustainable power grids using graph neural networks21 Dec 2022
- 2022Privacy-Preserving Decentralized Inference with Graph Neural Networks in Wireless Networks15 Aug 2022
- 2022Toward Dynamic Stability Assessment of Power Grid Topologies using Graph Neural Networks10 Jun 2022
- 2022Graph Neural Networks in IoT: A Survey29 Mar 2022
- 2022Solving Disjunctive Temporal Networks with Uncertainty under Restricted Time-Based Controllability using Tree Search and Graph Neural Networks28 Mar 2022
- 2021Robust Graph Neural Networks via Probabilistic Lipschitz Constraints14 Dec 2021
- 2021Transferability Properties of Graph Neural Networks9 Dec 2021
- 2021Predicting Basin Stability of Power Grids using Graph Neural Networks18 Aug 2021
- 2021Optimal Solving of Constrained Path-Planning Problems with Graph Convolutional Networks and Optimized Tree Search2 Aug 2021
- 2021Communication Topology Co-Design in Graph Recurrent Neural Network Based Distributed Control28 Apr 2021
12 newest of 14 All 14 (JSON)