4 citations · 5 across the 5 of their papers we have counts for
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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…
Mesh Independence of a Majorized ABCD Method for Sparse PDE-constrained Optimization Problems
Xiaoliang Song, Defeng Sun, Kim-Chuan Toh
A majorized accelerated block coordinate descent (mABCD) method in Hilbert space is analyzed to solve a sparse PDE-constrained optimization problem via its dual. The finite element…
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…
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…
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 $…
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…