Spectral network identification with generalized diffusive coupling

Marvyn Gulina; Alexandre Mauroy

Spectral network identification with generalized diffusive coupling

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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.

Original language	English
Title of host publication	41st Benelux Meeting on Systems and Control
Subtitle of host publication	Book of Abstract
Editors	Alain Vande Wouwer, Michel Kinnaert, Emmanuele Garone, Laurent Dewasme, Guilherme A. Pimentel
Publisher	Presses universitaires de Mons
Number of pages	1
Publication status	Published - 5 Jul 2022
Event	41th Benelux Meeting on Systems and Control - Université Libre de Bruxelles, Bruxelles, Belgium Duration: 5 Jul 2022 → 7 Jul 2022 https://www.beneluxmeeting.eu/2022/

Conference

Conference	41th Benelux Meeting on Systems and Control
Abbreviated title	BMSC 2022
Country/Territory	Belgium
City	Bruxelles
Period	5/07/22 → 7/07/22
Internet address	https://www.beneluxmeeting.eu/2022/

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https://www.beneluxmeeting.eu/2022/uploads/images/2022/boa_BeneluxMeeting2022_Web_betaV12_withChairs.pdf

1 Conference contribution

Spectral identification of networks with generalized diffusive coupling
Gulina, M. & Mauroy, A., 12 Sept 2022, 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022: Bayreuth, Germany, September 12-16, 2022. 30 ed. IFAC-PapersOnLine, Vol. 55. p. 492 - 497 6 p. (IFAC-PapersOnLine).
Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

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1 Finished

On the approximations of the Koopman operator and applications to spectral identification of networks
Gulina, M. (PI), Mauroy, A. (Supervisor) & Carletti, T. (Co-supervisor)
1/10/17 → 3/11/23
Project: PHD

1 Participation in conference

41th Benelux Meeting on Systems and Control
Gulina, M. (Contributor)
5 Jul 2022 → 7 Jul 2022
Activity: Participating in or organising an event types › Participation in conference

Cite this

Gulina, M., & Mauroy, A. (2022). Spectral network identification with generalized diffusive coupling. In A. Vande Wouwer, M. Kinnaert, E. Garone, L. Dewasme, & G. A. Pimentel (Eds.), 41st Benelux Meeting on Systems and Control : Book of Abstract Presses universitaires de Mons. https://www.beneluxmeeting.eu/2022/uploads/images/2022/boa_BeneluxMeeting2022_Web_betaV12_withChairs.pdf

@inproceedings{c5087aefb2c046f8ad26803f88a7c94b,

title = "Spectral network identification with generalized diffusive coupling",

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.",

author = "Marvyn Gulina and Alexandre Mauroy",

year = "2022",

month = jul,

day = "5",

language = "English",

editor = "{Vande Wouwer}, Alain and Michel Kinnaert and Emmanuele Garone and Laurent Dewasme and Pimentel, {Guilherme A.}",

booktitle = "41st Benelux Meeting on Systems and Control",

publisher = "Presses universitaires de Mons",

note = "41th Benelux Meeting on Systems and Control, BMSC 2022 ; Conference date: 05-07-2022 Through 07-07-2022",

url = "https://www.beneluxmeeting.eu/2022/",

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Gulina, M & Mauroy, A 2022, Spectral network identification with generalized diffusive coupling. in A Vande Wouwer, M Kinnaert, E Garone, L Dewasme & GA Pimentel (eds), 41st Benelux Meeting on Systems and Control : Book of Abstract. Presses universitaires de Mons, 41th Benelux Meeting on Systems and Control, Bruxelles, Belgium, 5/07/22. <https://www.beneluxmeeting.eu/2022/uploads/images/2022/boa_BeneluxMeeting2022_Web_betaV12_withChairs.pdf>

Spectral network identification with generalized diffusive coupling. / Gulina, Marvyn ; Mauroy, Alexandre.
41st Benelux Meeting on Systems and Control : Book of Abstract. ed. / Alain Vande Wouwer; Michel Kinnaert; Emmanuele Garone; Laurent Dewasme; Guilherme A. Pimentel. Presses universitaires de Mons, 2022.

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Spectral network identification with generalized diffusive coupling

AU - Gulina, Marvyn

AU - Mauroy, Alexandre

PY - 2022/7/5

Y1 - 2022/7/5

N2 - 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.

AB - 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.

M3 - Conference contribution

BT - 41st Benelux Meeting on Systems and Control

A2 - Vande Wouwer, Alain

A2 - Kinnaert, Michel

A2 - Garone, Emmanuele

A2 - Dewasme, Laurent

A2 - Pimentel, Guilherme A.

PB - Presses universitaires de Mons

T2 - 41th Benelux Meeting on Systems and Control

Y2 - 5 July 2022 through 7 July 2022

ER -

Spectral network identification with generalized diffusive coupling

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Research output

Spectral identification of networks with generalized diffusive coupling

Projects

On the approximations of the Koopman operator and applications to spectral identification of networks

Activities

41th Benelux Meeting on Systems and Control

Cite this