Implementing the Alternating Direction Method of Multipliers for Big Datasets: A Case Study of Least Absolute Shrinkage and Selection Operator. - Hangrui Yue; Qingzhi Yang; Xiangfeng Wang; Xiaoming Yuan 001 (SIAM J. Sci. Comput., 2018)

An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (SIAM J. Numer. Anal., 2019)

An ADMM-Newton-CNN Numerical Approach to a TV Model for Identifying Discontinuous Diffusion Coefficients in Elliptic Equations: Convex Case with Gradient Observations. - WenYi Tian; Xiaoming Yuan 001; Hangrui Yue (CoRR, 2021)

Bilinear Optimal Control of an Advection-Reaction-Diffusion System. - Roland Glowinski; Yongcun Song; Xiaoming Yuan 001; Hangrui Yue (SIAM Rev., 2022)

Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (CoRR, 2023)

A numerical approach to the optimal control of thermally convective flows. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (J. Comput. Phys., 2023)

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (SIAM J. Sci. Comput., 2024)

The Hard-Constraint PINNs for Interface Optimal Control Problems. - Ming-Chih Lai; Yongcun Song; Xiaoming Yuan; Hangrui Yue; Tianyou Zeng (SIAM J. Sci. Comput., 2025)