Early warning indicators via latent stochastic dynamical systems Article Swipe
Lingyu Feng
,
Ting Gao
,
Xiao Wang
,
Jinqiao Duan
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.03842
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.03842
Detecting early warning indicators for abrupt dynamical transitions in complex systems or high-dimensional observation data is 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 (EEG) 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
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2309.03842
- https://arxiv.org/pdf/2309.03842
- OA Status
- green
- References
- 23
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4386555438Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2309.03842Digital Object Identifier
- Title
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Early warning indicators via latent stochastic dynamical systemsWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-09-07Full publication date if available
- Authors
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Lingyu Feng, Ting Gao, Xiao Wang, Jinqiao DuanList of authors in order
- Landing page
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https://arxiv.org/abs/2309.03842Publisher landing page
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https://arxiv.org/pdf/2309.03842Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2309.03842Direct OA link when available
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Warning system, Computer science, Entropy (arrow of time), Data mining, Dynamical systems theory, Artificial intelligence, Statistical physics, Econometrics, Mathematics, Physics, Telecommunications, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W1987236926, https://openalex.org/W4362649964, https://openalex.org/W2495200482, https://openalex.org/W3174107462, https://openalex.org/W3093625747, https://openalex.org/W2002924489, https://openalex.org/W2962963464, https://openalex.org/W4391309506, https://openalex.org/W3200303296, https://openalex.org/W3102130035, https://openalex.org/W2962824627, https://openalex.org/W2117684310, https://openalex.org/W2031320386, https://openalex.org/W4320913478, https://openalex.org/W194507631, https://openalex.org/W2417365772, https://openalex.org/W3099423575, https://openalex.org/W3105590461, https://openalex.org/W4365511844, https://openalex.org/W3183862791, https://openalex.org/W1862394037, https://openalex.org/W2006554089, https://openalex.org/W2403175639 |
| referenced_works_count | 23 |
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| corresponding_author_ids | https://openalex.org/A5034610999 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I2799850029, https://openalex.org/I4396570619, https://openalex.org/I47720641 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/13 |
| sustainable_development_goals[0].score | 0.7799999713897705 |
| sustainable_development_goals[0].display_name | Climate action |
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| citation_normalized_percentile.is_in_top_10_percent | False |