97 citations · 225 across the 33 of their papers we have counts for
34 papers
From Pólya's Conditions to a Complete Characterization of the Convergence of Hyperinterpolation
Congpei An, Xiannan Hu, Xiaoming Yuan
It has remained open to identify the necessary and sufficient conditions for the convergence of hyperinterpolation since it was introduced by Sloan in 1995. We show that the…
An Optimization Approach to Weight Collocation for Scattered Spherical Data
Congpei An, Xiannan Hu, Xiaoming Yuan
We introduce an optimization approach for constructing spherical quadrature rules on arbitrarily scattered data. Rather than designing node placements, the new approach focuses on…
The Hard-Constraint PINNs for Interface Optimal Control Problems
Ming-Chih Lai, Yongcun Song, Xiaoming Yuan +2
We show that the physics-informed neural networks (PINNs), in combination with some recently developed discontinuity capturing neural networks, can be applied to solve optimal cont…
Convergence Analysis of Randomized SGDA under NC-PL Condition for Stochastic Minimax Optimization Problems
Zehua Liu, Zenan Li, Xiaoming Yuan +1
We introduce a new analytic framework to analyze the convergence of the Randomized Stochastic Gradient Descent Ascent (RSGDA) algorithm for stochastic minimax optimization problems…
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems
Yongcun Song, Xiaoming Yuan, Hangrui Yue
We consider a general class of nonsmooth optimal control problems with partial differential equation (PDE) constraints, which are very challenging due to its nonsmooth objective fu…
Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres
Hao-Ning Wu, Xiaoming Yuan
We present a novel spectral method for the Allen-Cahn equation on spheres, eliminating the reliance on conventional quadrature exactness conditions. By replacing these conditions w…