Parallel Machine Learning for Forecasting the Dynamics of Complex Networks
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Abstract (arXiv)
Forecasting the dynamics of large complex networks from previous time-series data is important in a wide range of contexts. Here we present a machine learning scheme for this task using a parallel architecture that mimics the topology of the network of interest. We demonstrate the utility and scalability of our method implemented using reservoir computing on a chaotic network of oscillators. Two levels of prior knowledge are considered: (i) the network links are known; and (ii) the network links are unknown and inferred via a data-driven approach to approximately optimize prediction.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Builds on 3 of its 24 references that are in the map. First posted on arXiv 27 Aug 2021.
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3 of 24 references.
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Citing papers per year: 2021: 1; 2022: 1; 2023: 4; 2024: 3; 2025: 6; 2026: 2.
17 papers.
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- 2022Catch-22s of reservoir computingcited by 11
- 2023Inferring Attracting Basins of Power System with Machine Learningcited by 4
- 2021Learn one size to infer all: Exploiting translational symmetries in delay-dynamical and spatio-temporal systems using scalable neural networkscited by 3
- 2024On instabilities in neural network-based physics simulatorscited by 2
- 2024Learning to learn ecosystems from limited data -- a meta-learning approachcited by 2
- 2025Tailored Forecasting from Short Time Series via Meta-learningcited by 2
- 2025Learning Beyond Experience: Generalizing to Unseen State Space with Reservoir Computingcited by 2
- 2023Stretched and measured neural predictions of complex network dynamicscited by 1
- 2023Suppressing unknown disturbances to dynamical systems using machine learningcited by 1
- 2024Modeling Nonlinear Oscillator Networks Using Physics-Informed Hybrid Reservoir Computingcited by 1
- 2025Versatile Reservoir Computing for Heterogeneous Complex Networkscited by 1
- 2025ChaosNexus: A Foundation Model for ODE-based Chaotic System Forecasting with Hierarchical Multi-scale Awarenesscited by 1
5 more
- 2023Detecting disturbances in network-coupled dynamical systems with machine learningcited by 0
- 2025Boosting Reservoir Computing with Brain-inspired Adaptive Dynamicscited by 0
- 2025PhyxMamba: Chaotic System Reconstruction from Short Context Observations with Generative State-Space Modelscited by 0
- 2026Inferring bifurcation diagrams of two distinct chaotic systems by a single machinecited by 0
- 2026Causal Local States: Scalable Simultaneous Causal Network Inference and Forecasting for Dynamical Systemscited by 0
- 2026Causal Local States: Scalable Simultaneous Causal Network Inference and Forecasting for Dynamical Systems18 Aug 2026
- 2026Inferring bifurcation diagrams of two distinct chaotic systems by a single machine29 Apr 2026
- 2025ChaosNexus: A Foundation Model for ODE-based Chaotic System Forecasting with Hierarchical Multi-scale Awareness26 Sep 2025
- 2025Learning Beyond Experience: Generalizing to Unseen State Space with Reservoir Computing5 Jun 2025
- 2025PhyxMamba: Chaotic System Reconstruction from Short Context Observations with Generative State-Space Models29 May 2025
- 2025Versatile Reservoir Computing for Heterogeneous Complex Networks21 May 2025
- 2025Boosting Reservoir Computing with Brain-inspired Adaptive Dynamics16 Apr 2025
- 2025Tailored Forecasting from Short Time Series via Meta-learning27 Jan 2025
- 2024Modeling Nonlinear Oscillator Networks Using Physics-Informed Hybrid Reservoir Computing7 Nov 2024
- 2024Learning to learn ecosystems from limited data -- a meta-learning approach2 Oct 2024
- 2024On instabilities in neural network-based physics simulators18 Jun 2024
- 2023Detecting disturbances in network-coupled dynamical systems with machine learning24 Jul 2023
5 more
- 2023Suppressing unknown disturbances to dynamical systems using machine learning19 Jun 2023
- 2023Inferring Attracting Basins of Power System with Machine Learning20 May 2023
- 2023Stretched and measured neural predictions of complex network dynamics12 Jan 2023
- 2022Catch-22s of reservoir computing18 Oct 2022
- 2021Learn one size to infer all: Exploiting translational symmetries in delay-dynamical and spatio-temporal systems using scalable neural networks5 Nov 2021
- 2022Catch-22s of reservoir computingcited by 11
- 2023Inferring Attracting Basins of Power System with Machine Learningcited by 4
- 2021Learn one size to infer all: Exploiting translational symmetries in delay-dynamical and spatio-temporal systems using scalable neural networkscited by 3
- 2024On instabilities in neural network-based physics simulatorscited by 2
- 2024Learning to learn ecosystems from limited data -- a meta-learning approachcited by 2
- 2025Tailored Forecasting from Short Time Series via Meta-learningcited by 2
- 2025Learning Beyond Experience: Generalizing to Unseen State Space with Reservoir Computingcited by 2
- 2023Stretched and measured neural predictions of complex network dynamicscited by 1
- 2023Suppressing unknown disturbances to dynamical systems using machine learningcited by 1
- 2024Modeling Nonlinear Oscillator Networks Using Physics-Informed Hybrid Reservoir Computingcited by 1
- 2025Versatile Reservoir Computing for Heterogeneous Complex Networkscited by 1
- 2025ChaosNexus: A Foundation Model for ODE-based Chaotic System Forecasting with Hierarchical Multi-scale Awarenesscited by 1
12 most cited of 17 All 17 (JSON)
- 2026Causal Local States: Scalable Simultaneous Causal Network Inference and Forecasting for Dynamical Systems18 Aug 2026
- 2026Inferring bifurcation diagrams of two distinct chaotic systems by a single machine29 Apr 2026
- 2025ChaosNexus: A Foundation Model for ODE-based Chaotic System Forecasting with Hierarchical Multi-scale Awareness26 Sep 2025
- 2025Learning Beyond Experience: Generalizing to Unseen State Space with Reservoir Computing5 Jun 2025
- 2025PhyxMamba: Chaotic System Reconstruction from Short Context Observations with Generative State-Space Models29 May 2025
- 2025Versatile Reservoir Computing for Heterogeneous Complex Networks21 May 2025
- 2025Boosting Reservoir Computing with Brain-inspired Adaptive Dynamics16 Apr 2025
- 2025Tailored Forecasting from Short Time Series via Meta-learning27 Jan 2025
- 2024Modeling Nonlinear Oscillator Networks Using Physics-Informed Hybrid Reservoir Computing7 Nov 2024
- 2024Learning to learn ecosystems from limited data -- a meta-learning approach2 Oct 2024
- 2024On instabilities in neural network-based physics simulators18 Jun 2024
- 2023Detecting disturbances in network-coupled dynamical systems with machine learning24 Jul 2023
12 newest of 17 All 17 (JSON)