11 citations · 30 across the 19 of their papers we have counts for
6 papers · 1 filter
On Large Batch Training and Sharp Minima: A Fokker-Planck Perspective
Xiaowu Dai, Yuhua Zhu
We study the statistical properties of the dynamic trajectory of stochastic gradient descent (SGD). We approximate the mini-batch SGD and the momentum SGD as stochastic differentia…
Post-Regularization Confidence Bands for Ordinary Differential Equations
Xiaowu Dai, Lexin Li
Ordinary differential equation (ODE) is an important tool to study the dynamics of a system of biological and physical processes. A central question in ODE modeling is to infer the…
Kernel Knockoffs Selection for Nonparametric Additive Models
Xiaowu Dai, Xiang Lyu, Lexin Li
Thanks to its fine balance between model flexibility and interpretability, the nonparametric additive model has been widely used, and variable selection for this type of model has…
A resampling approach for causal inference on novel two-point time-series with application to identify risk factors for type-2 diabetes and cardiovascular disease
Xiaowu Dai, Saad Mouti, Marjorie Lima do Vale +3
Two-point time-series data, characterized by baseline and follow-up observations, are frequently encountered in health research. We study a novel two-point time series structure wi…
Orthogonalized Kernel Debiased Machine Learning for Multimodal Data Analysis
Xiaowu Dai, Lexin Li
Multimodal imaging has transformed neuroscience research. While it presents unprecedented opportunities, it also imposes serious challenges. Particularly, it is difficult to combin…
Learning in Multi-Stage Decentralized Matching Markets
Xiaowu Dai, Michael I. Jordan
Matching markets are often organized in a multi-stage and decentralized manner. Moreover, participants in real-world matching markets often have uncertain preferences. This article…