Validity and Limitations of the Detection Matrix to Determine Hidden Units and Network Size from Perceptible Dynamics

Research output: Contribution to journalArticle

Abstract

Determining the size of a network dynamical system from the time series of some accessible units is a critical problem in network science. Recent work by Haehne et al. [Phys. Rev. Lett. 122, 158301 (2019).PRLTAO0031-900710.1103/PhysRevLett.122.158301] has presented a model-free approach to address this problem, by studying the rank of a detection matrix that collates sampled time series of perceptible nodes from independent experiments. Here, we unveil a profound connection between the rank of the detection matrix and the control-theoretic notion of observability, upon which we conclude when and how it is feasible to exactly infer the size of a network dynamical system.

Original languageEnglish (US)
Article number168301
JournalPhysical Review Letters
Volume124
Issue number16
DOIs
StatePublished - Apr 24 2020

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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