Statistical Inference in Dynamic Systems
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On large batch training and sharp minima: A Fokker-Planck perspective. [journal]
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), 2021.
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Minimax optimal rates of estimation in functional ANOVA models with derivatives. [pdf]
Xiaowu Dai and Peter Chien.
Preprint, 2021+.
[ASA Nonparametric Statistics Section Student Paper Award, 2018]
[IMS Hannan Graduate Student Travel Award, 2018]
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Towards theoretical understanding of large batch training in stochastic gradient descent. [pdf]
Xiaowu Dai and Yuhua Zhu.
Preprint, 2021+.
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Post-regularization confidence bands for ordinary differential equations. [pdf]
Xiaowu Dai and Lexin Li.
Preprint, 2021+.