4 citations · 14 across the 12 of their papers we have counts for
12 papers
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…
Task Embedded Coordinate Update: A Realizable Framework for Multivariate Non-convex Optimization
Yiyang Wang, Risheng Liu, Long Ma +1
We in this paper propose a realizable framework TECU, which embeds task-specific strategies into update schemes of coordinate descent, for optimizing multivariate non-convex proble…
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…
Mesh Independence of an Accelerated Block Coordinate Descent Method for Sparse Optimal Control Problems
Xiaoliang Song, Bo Chen, Bo Yu
An accelerated block coordinate descent (ABCD) method in Hilbert space is analyzed to solve the sparse optimal control problem via its dual. The finite element approximation of thi…
An efficient duality-based approach for PDE-constrained sparse optimization
Xiaoliang Song, Bo Chen, Bo Yu
In this paper, elliptic optimal control problems involving the -control cost (-EOCP) is considered. To numerically discretize -EOCP, the standard piecewise linear fi…
An Optimization Framework with Flexible Inexact Inner Iterations for Nonconvex and Nonsmooth Programming
Yiyang Wang, Risheng Liu, Xiaoliang Song +1
In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particul…
A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem
Zixuan Chen, Xiaoliang Song, Xuping Zhang +1
In this paper, elliptic control problems with pointwise box constraints on the state is considered, where the corresponding Lagrange multipliers in general only represent regular B…
A two-phase strategy for control constrained elliptic optimal control problems
Xiaoliang Song, Bo Yu
Elliptic optimal control problems with pointwise box constraints on the control (EOCP) are considered. To solve EOCP, the primal-dual active set (PDAS) method, which is a special s…