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Journal of the American Statistical Association Volume 114, 2019 - Issue 526
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Theory and Methods

Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach

Leqin WuDepartment of Mathematics, Jinan University, Guangzhou, ChinaView further author information
,
Xing QiuDepartment of Biostatistics and Computational Biology, University of Rochester, Rochester, NYORCID Iconhttp://orcid.org/0000-0002-2330-3544View further author information
ORCID Icon,
Ya-xiang YuanAcademy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, ChinaView further author information
&
Hulin WuDepartment of Biostatistics, University of Texas Health Science Center at Houston, Houston, TXView further author information
Pages 657-667 | Received 01 May 2017, Published online: 11 Jul 2018

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Sara Venkatraman, Sumanta Basu, Andrew G. Clark, Sofie Delbare, Myung Hee Lee & Martin T. Wells. (2023) An Empirical Bayes Approach to Estimating Dynamic Models of Co-Regulated Gene Expression. Data Science in Science 2:1.
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Kexuan Li, Fangfang Wang, Ruiqi Liu, Fan Yang & Zuofeng Shang. (2024) Calibrating multi-dimensional complex ODE from noisy data via deep neural networks. Journal of Statistical Planning and Inference 232, pages 106147.
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Lu Yang, Bentao Su, Naiming Xie & Baolei Wei. (2024) An IDE-based nonlinear grey Bernoulli model and applications to daily traffic flow pattern identification. Expert Systems with Applications 246, pages 123172.
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Yinping Li, Qing Cheng & Moaiad Ahmad Khder. (2023) Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology. Applied Mathematics and Nonlinear Sciences 8:1, pages 319-330.
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Xing Qiu, Tao Xu, Babak Soltanalizadeh & Hulin Wu. (2022) Identifiability analysis of linear ordinary differential equation systems with a single trajectory. Applied Mathematics and Computation 430, pages 127260.
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Muye Nanshan, Nan Zhang, Xiaolei Xun & Jiguo Cao. (2022) Dynamical modeling for non-Gaussian data with high-dimensional sparse ordinary differential equations. Computational Statistics & Data Analysis 173, pages 107483.
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Itai Dattner. (2020) Differential equations in data analysis. WIREs Computational Statistics 13:6.
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Shihao Yang, Samuel W. K. Wong & S. C. Kou. (2021) Inference of dynamic systems from noisy and sparse data via manifold-constrained Gaussian processes. Proceedings of the National Academy of Sciences 118:15.
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Itai Dattner, Harold Ship & Eberhard O. Voit. (2020) Separable Nonlinear Least-Squares Parameter Estimation for Complex Dynamic Systems. Complexity 2020, pages 1-11.
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Xinlin Hu, Yaohua Hu, Fanjie Wu, Ricky Wai Tak Leung & Jing Qin. (2020) Integration of single-cell multi-omics for gene regulatory network inference. Computational and Structural Biotechnology Journal 18, pages 1925-1938.
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