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Time irreversibility analysis and abnormality detection based on Riemannian geometry for complex time series

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Publication:2108739
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DOI10.1016/J.CNSNS.2022.106985OpenAlexW4308499900WikidataQ115358512 ScholiaQ115358512MaRDI QIDQ2108739

Pengjian Shang, Binbin Shang, Zhuo Wang

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106985


zbMATH Keywords

Riemannian geometrytime irreversibilityabnormality detectioncomplex time series


Mathematics Subject Classification ID

Graph theory (05Cxx) Inference from stochastic processes (62Mxx) Stochastic processes (60Gxx)



Uses Software

  • PhysioToolkit



Cites Work

  • Unnamed Item
  • A Riemannian framework for tensor computing
  • Dimensional properties of fractional Brownian motion
  • Time irreversibility and amplitude irreversibility measures for nonequilibrium processes
  • From time series to complex networks: The visibility graph
  • Time-reversibility of linear stochastic processes
  • Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices
  • Fractional Brownian Motions, Fractional Noises and Applications




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