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Learning in Dynamical Models
[Optimization dynamics, ODE and PDE models and inference]
(Note: students under my supervision; * corresponding author.)
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Optimization dynamics​
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On large batch training and sharp minima: A Fokker-Planck perspective. [journal][reprint][preprint]​[older version]
Xiaowu Dai and Yuhua Zhu.
Journal of Statistical Theory and Practice (JSTP), special issue on "Advances in Deep Learning", 2020.
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ODE and PDE models and inference
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Xiaowu Dai and Lexin Li.​
Journal of the American Statistical Association: Theory and Methods (JASA), 2022.
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Xiaowu Dai​* and Lexin Li.
Journal of Machine Learning Research (JMLR), 2024.
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Xiaowu Dai*.
Journal of the Royal Statistical Society Series B: Statistical Methodology (JRSSB), 2024.
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Quantifying microbial interactions based on compositional data using an iterative approach for solving Lotka-Volterra equations.
Yue Huang, Tianqi Tang, Xiaowu Dai, and Fengzhu Sun.
Preprint, 2025.
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