97 citations · 225 across the 33 of their papers we have counts for
4 papers · 1 filter
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…