Predicting Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914693059182592 |
|---|---|
| author | Nauck, Christian Lindner, Michael Molkenthin, Nora Kurths, Jürgen Schöll, Eckehard Raisch, Jörg Hellmann, Frank |
| author_facet | Nauck, Christian Lindner, Michael Molkenthin, Nora Kurths, Jürgen Schöll, Eckehard Raisch, Jörg Hellmann, Frank |
| contents | A central question of network science is how functional properties of systems arise from their structure. For networked dynamical systems, structure is typically quantified with network measures. A functional property that is of theoretical and practical interest for oscillatory systems is the stability of synchrony to localized perturbations. Recently, Graph Neural Networks (GNNs) have been shown to predict this stability successfully; at the same time, network measures have struggled to paint a clear picture. Here we collect 46 relevant network measures and find that no small subset can reliably predict stability. The performance of GNNs can only be matched by combining all network measures and nodewise machine learning. However, unlike GNNs, this approach fails to extrapolate from network ensembles to several real power grid topologies. This suggests that correlations of network measures and function may be misleading, and that GNNs capture the causal relationship between structure and stability substantially better. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Predicting Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning Nauck, Christian Lindner, Michael Molkenthin, Nora Kurths, Jürgen Schöll, Eckehard Raisch, Jörg Hellmann, Frank Adaptation and Self-Organizing Systems Machine Learning Social and Information Networks A central question of network science is how functional properties of systems arise from their structure. For networked dynamical systems, structure is typically quantified with network measures. A functional property that is of theoretical and practical interest for oscillatory systems is the stability of synchrony to localized perturbations. Recently, Graph Neural Networks (GNNs) have been shown to predict this stability successfully; at the same time, network measures have struggled to paint a clear picture. Here we collect 46 relevant network measures and find that no small subset can reliably predict stability. The performance of GNNs can only be matched by combining all network measures and nodewise machine learning. However, unlike GNNs, this approach fails to extrapolate from network ensembles to several real power grid topologies. This suggests that correlations of network measures and function may be misleading, and that GNNs capture the causal relationship between structure and stability substantially better. |
| title | Predicting Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning |
| topic | Adaptation and Self-Organizing Systems Machine Learning Social and Information Networks |
| url | https://arxiv.org/abs/2402.17500 |