Statistical Learning in Dynamical Systems
[Kernel ODE, ODE inference, SGD dynamics]
-
On large batch training and sharp minima: A Fokker-Planck perspective. [journal][preprint][older version]
Xiaowu Dai and Yuhua Zhu.
Journal of Statistical Theory and Practice (JSTP), special issue on "Advances in Deep Learning", 2020.
Xiaowu Dai and Lexin Li.
Journal of the American Statistical Association: Theory and Methods (JASA), 2022.
-
Post-regularization confidence bands for ordinary differential equations. [pdf]
Xiaowu Dai and Lexin Li.
Preprint, 2023+; Under Revisions at Journal of Machine Learning Research.
-
Nonparametric estimation via mixed gradients. [pdf]
Xiaowu Dai.
Preprint, 2023+; Under Revisions at Journal of the Royal Statistical Society: Series B.