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Adaptive, locally linear models of complex dynamics
https://oist.repo.nii.ac.jp/records/980
https://oist.repo.nii.ac.jp/records/9803cf6f17d-82ca-4d0a-8b5e-1607aeb077e9
名前 / ファイル | ライセンス | アクション |
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Costa-2019-Adaptive, locally linear models of (11.0 MB)
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Creative Commons
Attribution-NonCommercial-NoDerivatives 4.0 International (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2019-07-03 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Adaptive, locally linear models of complex dynamics | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Costa, Antonio C.
× Costa, Antonio C.× Ahamed, Tosif× Stephens, Greg J. |
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書誌情報 |
en : Proceedings of the National Academy of Sciences 巻 116, 号 5, p. 1501-1510, 発行日 2019-01-17 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The dynamics of complex systems generally include high-dimensional, nonstationary, and nonlinear behavior, all of which pose fundamental challenges to quantitative understanding. To address these difficulties, we detail an approach based on local linear models within windows determined adaptively from data. While the dynamics within each window are simple, consisting of exponential decay, growth, and oscillations, the collection of local parameters across all windows provides a principled characterization of the full time series. To explore the resulting model space, we develop a likelihood-based hierarchical clustering, and we examine the eigenvalues of the linear dynamics. We demonstrate our analysis with the Lorenz system undergoing stable spiral dynamics and in the standard chaotic regime. Applied to the posture dynamics of the nematode Caenorhabditis elegans, our approach identifies fine-grained behavioral states and model dynamics which fluctuate about an instability boundary, and we detail a bifurcation in a transition from forward to backward crawling. We analyze whole-brain imaging in C. elegans and show that global brain dynamics is damped away from the instability boundary by a decrease in oxygen concentration. We provide additional evidence for such near-critical dynamics from the analysis of electrocorticography in monkey and the imaging of a neural population from mouse visual cortex at single-cell resolution. | |||||
出版者 | ||||||
出版者 | National Academy of Sciences | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0027-8424 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1091-6490 | |||||
PubMed番号 | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | PMID | |||||
関連識別子 | info:pmid/30655347 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1073/pnas.1813476116 | |||||
権利 | ||||||
権利情報 | © 2019 the Author(s). | |||||
情報源 | ||||||
関連名称 | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.pnas.org/content/116/5/1501 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |