Articles producció científica> Enginyeria Informàtica i Matemàtiques

Uncertainty propagation in complex networks: From noisy links to critical properties

  • Identification data

    Identifier: imarina:6162120
    Authors:
    Arola-Fernandez, LluisMosquera-Donate, GuillemSteinegger, BenjaminArenas, Alex
    Abstract:
    Many complex networks are built up from empirical data prone to experimental error. Thus, the determination of the specific weights of the links is a noisy measure. Noise propagates to those macroscopic variables researchers are interested in, such as the critical threshold for synchronization of coupled oscillators or for the spreading of a disease. Here, we apply error propagation to estimate the macroscopic uncertainty in the critical threshold for some dynamical processes in networks with noisy links. We obtain closed form expressions for the mean and standard deviation of the critical threshold depending on the properties of the noise and the moments of the degree distribution of the network. The analysis provides confidence intervals for critical predictions when dealing with uncertain measurements or intrinsic fluctuations in empirical networked systems. Furthermore, our results unveil a nonmonotonous behavior of the uncertainty of the critical threshold that depends on the specific network structure.
  • Others:

    Author, as appears in the article.: Arola-Fernandez, Lluis; Mosquera-Donate, Guillem; Steinegger, Benjamin; Arenas, Alex
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Arenas Moreno, Alejandro / Arola Fernández, Lluís / Steinegger, Benjamin Franz Josef
    Keywords: Hashtag Etiqueta «#» @uroweb @residentesaeu @infoAeu
    Abstract: Many complex networks are built up from empirical data prone to experimental error. Thus, the determination of the specific weights of the links is a noisy measure. Noise propagates to those macroscopic variables researchers are interested in, such as the critical threshold for synchronization of coupled oscillators or for the spreading of a disease. Here, we apply error propagation to estimate the macroscopic uncertainty in the critical threshold for some dynamical processes in networks with noisy links. We obtain closed form expressions for the mean and standard deviation of the critical threshold depending on the properties of the noise and the moments of the degree distribution of the network. The analysis provides confidence intervals for critical predictions when dealing with uncertain measurements or intrinsic fluctuations in empirical networked systems. Furthermore, our results unveil a nonmonotonous behavior of the uncertainty of the critical threshold that depends on the specific network structure.
    Thematic Areas: Statistical and nonlinear physics Physics, mathematical Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicine (miscellaneous) Medicina veterinaria Medicina ii Mathematics, applied Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Geociências General physics and astronomy Engenharias iv Engenharias iii Engenharias ii Engenharias i Ciências ambientais Ciência da computação Astronomia / física Applied mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 1054-1500
    Author's mail: benjamin.steinegger@estudiants.urv.cat lluis.arola@estudiants.urv.cat lluis.arola@estudiants.urv.cat alexandre.arenas@urv.cat
    Author identifier: 0000-0002-0723-1536 0000-0003-0937-0334
    Record's date: 2024-09-28
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://aip.scitation.org/doi/10.1063/1.5129630
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Chaos. 30 (2): 023129-
    APA: Arola-Fernandez, Lluis; Mosquera-Donate, Guillem; Steinegger, Benjamin; Arenas, Alex (2020). Uncertainty propagation in complex networks: From noisy links to critical properties. Chaos, 30(2), 023129- . DOI: 10.1063/1.5129630
    Article's DOI: 10.1063/1.5129630
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2020
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Mathematical Physics,Mathematics, Applied,Medicine (Miscellaneous),Physics and Astronomy (Miscellaneous),Physics, Mathematical,Statistical and Nonlinear Physics
    Statistical and nonlinear physics
    Physics, mathematical
    Physics and astronomy (miscellaneous)
    Physics and astronomy (all)
    Medicine (miscellaneous)
    Medicina veterinaria
    Medicina ii
    Mathematics, applied
    Mathematical physics
    Matemática / probabilidade e estatística
    Interdisciplinar
    Geociências
    General physics and astronomy
    Engenharias iv
    Engenharias iii
    Engenharias ii
    Engenharias i
    Ciências ambientais
    Ciência da computação
    Astronomia / física
    Applied mathematics
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