Inferring Topology of Networks With Hidden Dynamic Variables - Kölner UniversitätsPublikationsServer

Schmidt, Raoul ORCID: 0000-0001-5614-3156, Haehne, Hauke, Hillmann, Laura, Casadiego, Jose, Witthaut, Dirk, Schafer, Benjamin ORCID: 0000-0003-1607-9748 and Timme, Marc ORCID: 0000-0002-5956-3137 (2022). Inferring Topology of Networks With Hidden Dynamic Variables. IEEE Access, 10. S. 76682 - 76693. PISCATAWAY: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. ISSN 2169-3536

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DOI:10.1109/ACCESS.2022.3191665

Abstract

Inferring the network topology from the dynamics of interacting units constitutes a topical challenge that drives research on its theory and applications across physics, mathematics, biology, and engineering. Most current inference methods rely on time series data recorded from all dynamical variables in the system. In applications, often only some of these time series are accessible, while other units or variables of all units are hidden, i.e. inaccessible or unobserved. For instance, in AC power grids, frequency measurements often are easily available whereas determining the phase relations among the oscillatory units requires much more effort. Here, we propose a network inference method that allows to reconstruct the full network topology even if all units exhibit hidden variables. We illustrate the approach in terms of a basic AC power grid model with two variables per node, the local phase angle and the local instantaneous frequency. Based solely on frequency measurements, we infer the underlying network topology as well as the relative phases that are inaccessible to measurement. The presented method may be enhanced to include systems with more complex coupling functions and additional parameters such as losses in power grid models. These results may thus contribute towards developing and applying novel network inference approaches in engineering, biology and beyond.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Schmidt, Raoul	UNSPECIFIED	orcid.org/0000-0001-5614-3156	UNSPECIFIED
Haehne, Hauke	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Hillmann, Laura	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Casadiego, Jose	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Witthaut, Dirk	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Schafer, Benjamin	UNSPECIFIED	orcid.org/0000-0003-1607-9748	UNSPECIFIED
Timme, Marc	UNSPECIFIED	orcid.org/0000-0002-5956-3137	UNSPECIFIED