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Abstract
Spectral network identification aims at inferring the eigenvalues of the Laplacian matrix of a network from measurement data.
This allows to capture global information on the network structure from local measurements at a few number of nodes.
In this paper, we consider the spectral network identification problem in the generalized setting of a vector-valued diffusive coupling.
The feasibility of this problem is investigated and theoretical results on the properties of the associated generalized eigenvalue problem are obtained.
Finally, we propose a numerical method to solve the generalized network identification problem, which relies on dynamic mode decomposition and leverages the above theoretical results.
This allows to capture global information on the network structure from local measurements at a few number of nodes.
In this paper, we consider the spectral network identification problem in the generalized setting of a vector-valued diffusive coupling.
The feasibility of this problem is investigated and theoretical results on the properties of the associated generalized eigenvalue problem are obtained.
Finally, we propose a numerical method to solve the generalized network identification problem, which relies on dynamic mode decomposition and leverages the above theoretical results.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022) |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 12 Sept 2022 |
| Event | 25th International Symposium on Mathematical Theory of Networks and Systems - Universität Bayreuth, Bayreuth, Germany Duration: 12 Sept 2022 → 16 Sept 2022 https://www.mtns2022.uni-bayreuth.de/en/index.html |
Conference
| Conference | 25th International Symposium on Mathematical Theory of Networks and Systems |
|---|---|
| Abbreviated title | MTNS 2022 |
| Country/Territory | Germany |
| City | Bayreuth |
| Period | 12/09/22 → 16/09/22 |
| Internet address |
Keywords
- network identification
- diffusive coupling
- spectral graph theory
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Spectral identification of networks with generalized diffusive coupling
Gulina, M. & Mauroy, A., 2022, In: IFAC-PapersOnLine. 55, 30, p. 492-497 6 p.Research output: Contribution to journal › Article › peer-review
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Spectral network identification with generalized diffusive coupling
Gulina, M. & Mauroy, A., 5 Jul 2022, 41st Benelux Meeting on Systems and Control : Book of Abstract. Vande Wouwer, A., Kinnaert, M., Garone, E., Dewasme, L. & Pimentel, G. A. (eds.). Presses universitaires de Mons, 1 p.Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution
Open AccessFile
Activities
- 1 Participation in conference
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25th International Symposium on Mathematical Theory of Networks and Systems
Marvyn Gulina (Contributor)
12 Sept 2022 → 16 Sept 2022Activity: Participating in or organising an event types › Participation in conference
Student theses
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On the approximations of the Koopman operator and applications to spectral identification of networks
Author: Gulina, M., 3 Nov 2023Supervisor: Mauroy, A. (Supervisor), Carletti, T. (Co-Supervisor), Winkin, J. (President), Hendrickx, J. (External person) (Jury) & Dietrich, F. (External person) (Jury)
Student thesis: Doc types › Doctor of Sciences
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