Early warning indicators via latent stochastic dynamical systems Article Swipe
Lingyu Feng
,
Ting Gao
,
Xiao Wang
,
Jinqiao Duan
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1063/5.0195042
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1063/5.0195042
Detecting early warning indicators for abrupt dynamical transitions in complex systems or high-dimensional observation data are essential in many real-world applications, such as brain diseases, natural disasters, and engineering reliability. To this end, we develop a novel approach: the directed anisotropic diffusion map that captures the latent evolutionary dynamics in the low-dimensional manifold. Then three effective warning signals (Onsager–Machlup indicator, sample entropy indicator, and transition probability indicator) are derived through the latent coordinates and the latent stochastic dynamical systems. To validate our framework, we apply this methodology to authentic electroencephalogram data. We find that our early warning indicators are capable of detecting the tipping point during state transition. This framework not only bridges the latent dynamics with real-world data but also shows the potential ability for automatic labeling on complex high-dimensional time series.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1063/5.0195042
- https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0195042/19709519/031101_1_5.0195042.pdf
- OA Status
- bronze
- Cited By
- 2
- References
- 33
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4392452014
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https://openalex.org/W4392452014Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1063/5.0195042Digital Object Identifier
- Title
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Early warning indicators via latent stochastic dynamical systemsWork title
- Type
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articleOpenAlex work type
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-03-01Full publication date if available
- Authors
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Lingyu Feng, Ting Gao, Xiao Wang, Jinqiao DuanList of authors in order
- Landing page
-
https://doi.org/10.1063/5.0195042Publisher landing page
- PDF URL
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https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0195042/19709519/031101_1_5.0195042.pdfDirect link to full text PDF
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YesWhether a free full text is available
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bronzeOpen access status per OpenAlex
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https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0195042/19709519/031101_1_5.0195042.pdfDirect OA link when available
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Computer science, Warning system, Dynamical systems theory, Statistical physics, Econometrics, Mathematics, Physics, Quantum mechanics, TelecommunicationsTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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2025: 1, 2024: 1Per-year citation counts (last 5 years)
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33Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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