78 citations · 96 across the 8 of their papers we have counts for
8 papers
Boundary-Adapted PINNs for Elliptic Dirichlet Problems: A Priori Error Bounds with Application to Mean Escape Time Computation
Nathanael Tepakbong, Jun Fan, Xiang Zhou +1
Motivated by the numerical computation of the Mean Escape Time (MET) of a stochastic process from a bounded domain , we study elliptic Di…
Distributed Gradient Descent for Functional Learning
Zhan Yu, Jun Fan, Zhongjie Shi +1
In recent years, different types of distributed and parallel learning schemes have received increasing attention for their strong advantages in handling large-scale data informatio…
Approximation of Nonlinear Functionals Using Deep ReLU Networks
Linhao Song, Jun Fan, Di-Rong Chen +1
In recent years, functional neural networks have been proposed and studied in order to approximate nonlinear continuous functionals defined on for integers …
Optimal prediction for kernel-based semi-functional linear regression
Keli Guo, Jun Fan, Lixing Zhu
In this paper, we establish minimax optimal rates of convergence for prediction in a semi-functional linear model that consists of a functional component and a less smooth nonparam…
Doubly robust estimation of average treatment effect revisited
Keli Guo, Chuyun Ye, Jun Fan +1
The research described herewith is to re-visit the classical doubly robust estimation of average treatment effect by conducting a systematic study on the comparisons, in the sense…
Comparison theorems on large-margin learning
Jun Fan, Dao-Hong Xiang
This paper studies binary classification problem associated with a family of loss functions called large-margin unified machines (LUM), which offers a natural bridge between distri…