activity
20162021
most citedA two-phase strategy for control constrained elliptic optimal control problems

4 citations · 13 across the 12 of their papers we have counts for

collaborators

12 papers

math.OC2021★ 1 cited

An inexact proximal DC algorithm with sieving strategy for rank constrained least squares semidefinite programming

Mingcai Ding, Xiaoliang Song, Bo Yu

In this paper, the optimization problem of the supervised distance preserving projection (SDPP) for data dimension reduction (DR) is considered, which is equivalent to a rank const…

math.OC2019

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems

Xiaotong Chen, Xiaoliang Song, Zixuan Chen +1

In this paper, the elliptic PDE-constrained optimization problem with box constraints on the control is studied. To numerically solve the problem, we apply the 'optimize-discretize…

math.NA2019

Structured FISTA for Image Restoration

Zixuan Chen, James Nagy, Yuanzhe Xi +1

In this paper, we propose an efficient numerical scheme for solving some large scale ill-posed linear inverse problems arising from image restoration. In order to accelerate the co…

math.OC2018

An FE-dABCD algorithm for elliptic optimal control problems with constraints on the gradient of the state and control

Zixuan Chen, Xiaoliang Song, Bo Yu +1

In this paper, elliptic control problems with integral constraint on the gradient of the state and box constraints on the control are considered. The optimal conditions of the prob…

math.OC2017★ 4 cited

Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

Xiaoliang Song, Bo Chen, Bo Yu

Optimization problems with -control cost functional subject to an elliptic partial differential equation (PDE) are considered. However, different from the finite dimensional $…

math.OC2017

A FE-inexact heterogeneous ADMM for Elliptic Optimal Control Problems with {}-Control Cost

Xiaoliang Song, Bo Yu, Yiyang Wang +1

Elliptic PDE-constrained optimal control problems with -control cost (-EOCP) are considered. To solve -EOCP, the primal-dual active set (PDAS) method, which is a spe…