Machine learning dismantling and early-warning signals of disintegration in complex systems
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Abstract (arXiv)
From physics to engineering, biology and social science, natural and artificial systems are characterized by interconnected topologies whose features - e.g., heterogeneous connectivity, mesoscale organization, hierarchy - affect their robustness to external perturbations, such as targeted attacks to their units. Identifying the minimal set of units to attack to disintegrate a complex network, i.e. network dismantling, is a computationally challenging (NP-hard) problem which is usually attacked with heuristics. Here, we show that a machine trained to dismantle relatively small systems is able to identify higher-order topological patterns, allowing to disintegrate large-scale social, infrastructural and technological networks more efficiently than human-based heuristics. Remarkably, the machine assesses the probability that next attacks will disintegrate the system, providing a quantitative method to quantify systemic risk and detect early-warning signals of system's collapse. This demonstrates that machine-assisted analysis can be effectively used for policy and decision making to better quantify the fragility of complex systems and their response to shocks.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). Builds on 25 of its 71 references that are in the map. First posted on arXiv 7 Jan 2021.
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25 of 71 references.
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Citing papers per year: 2021: 3; 2022: 2; 2023: 3; 2024: 2; 2025: 4.
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- 2021wsGAT: Weighted and Signed Graph Attention Networks for Link Predictioncited by 8
- 2022A Learning Convolutional Neural Network Approach for Network Robustness Predictioncited by 6
- 2023Detecting Vulnerable Nodes in Urban Infrastructure Interdependent Networkcited by 5
- 2021mGNN: Generalizing the Graph Neural Networks to the Multilayer Casecited by 4
- 2024Identify Critical Nodes in Complex Network with Large Language Modelscited by 4
- 2023SPP-CNN: An Efficient Framework for Network Robustness Predictioncited by 1
- 2025Beyond MMD: Evaluating Graph Generative Models with Geometric Deep Learningcited by 1
- 2021Edge Rewiring Goes Neural: Boosting Network Resilience without Rich Featurescited by 0
- 2022CNN-based Prediction of Network Robustness With Missing Edgescited by 0
- 2023Mastering Percolation-like Games with Deep Learningcited by 0
- 2024A Quick Framework for Evaluating Worst Robustness of Complex Networkscited by 0
- 2025Interpretable Early Warnings using Machine Learning in an Online Game-experimentcited by 0
- 2025HWL-HIN: A Hypergraph-Level Hypergraph Isomorphism Network as Powerful as the Hypergraph Weisfeiler-Lehman Test with Application to Higher-Order Network Robustness26 Dec 2025
- 2025Beyond MMD: Evaluating Graph Generative Models with Geometric Deep Learning16 Dec 2025
- 2025Advancing network resilience theories with symbolized reinforcement learning4 Jul 2025
- 2025Interpretable Early Warnings using Machine Learning in an Online Game-experiment14 Feb 2025
- 2024Identify Critical Nodes in Complex Network with Large Language Models1 Mar 2024
- 2024A Quick Framework for Evaluating Worst Robustness of Complex Networks28 Feb 2024
- 2023Detecting Vulnerable Nodes in Urban Infrastructure Interdependent Network19 Jul 2023
- 2023SPP-CNN: An Efficient Framework for Network Robustness Prediction13 May 2023
- 2023Mastering Percolation-like Games with Deep Learning12 May 2023
- 2022CNN-based Prediction of Network Robustness With Missing Edges25 Aug 2022
- 2022A Learning Convolutional Neural Network Approach for Network Robustness Prediction20 Mar 2022
- 2021Edge Rewiring Goes Neural: Boosting Network Resilience without Rich Features18 Oct 2021
2 more
- 2021wsGAT: Weighted and Signed Graph Attention Networks for Link Predictioncited by 8
- 2022A Learning Convolutional Neural Network Approach for Network Robustness Predictioncited by 6
- 2023Detecting Vulnerable Nodes in Urban Infrastructure Interdependent Networkcited by 5
- 2021mGNN: Generalizing the Graph Neural Networks to the Multilayer Casecited by 4
- 2024Identify Critical Nodes in Complex Network with Large Language Modelscited by 4
- 2023SPP-CNN: An Efficient Framework for Network Robustness Predictioncited by 1
- 2025Beyond MMD: Evaluating Graph Generative Models with Geometric Deep Learningcited by 1
- 2021Edge Rewiring Goes Neural: Boosting Network Resilience without Rich Featurescited by 0
- 2022CNN-based Prediction of Network Robustness With Missing Edgescited by 0
- 2023Mastering Percolation-like Games with Deep Learningcited by 0
- 2024A Quick Framework for Evaluating Worst Robustness of Complex Networkscited by 0
- 2025Interpretable Early Warnings using Machine Learning in an Online Game-experimentcited by 0
12 most cited of 14 All 14 (JSON)
- 2025HWL-HIN: A Hypergraph-Level Hypergraph Isomorphism Network as Powerful as the Hypergraph Weisfeiler-Lehman Test with Application to Higher-Order Network Robustness26 Dec 2025
- 2025Beyond MMD: Evaluating Graph Generative Models with Geometric Deep Learning16 Dec 2025
- 2025Advancing network resilience theories with symbolized reinforcement learning4 Jul 2025
- 2025Interpretable Early Warnings using Machine Learning in an Online Game-experiment14 Feb 2025
- 2024Identify Critical Nodes in Complex Network with Large Language Models1 Mar 2024
- 2024A Quick Framework for Evaluating Worst Robustness of Complex Networks28 Feb 2024
- 2023Detecting Vulnerable Nodes in Urban Infrastructure Interdependent Network19 Jul 2023
- 2023SPP-CNN: An Efficient Framework for Network Robustness Prediction13 May 2023
- 2023Mastering Percolation-like Games with Deep Learning12 May 2023
- 2022CNN-based Prediction of Network Robustness With Missing Edges25 Aug 2022
- 2022A Learning Convolutional Neural Network Approach for Network Robustness Prediction20 Mar 2022
- 2021Edge Rewiring Goes Neural: Boosting Network Resilience without Rich Features18 Oct 2021
12 newest of 14 All 14 (JSON)