12 citations · 26 across the 8 of their papers we have counts for
4 papers · 1 filter
Normal Cones Intersection Rule and Optimality Analysis for Low-Rank Matrix Optimization with Affine Manifolds
Xinrong Li, Ziyan Luo
The low-rank matrix optimization with affine manifold (rank-MOA) aims to minimize a continuously differentiable function over a low-rank set intersecting with an affine manifold. T…
Quaternion Matrix Optimization and The Underlying Calculus
Liqun Qi, Ziyan Luo, Qingwen Wang +1
Optimization models involving quaternion matrices are widely used in color image process and other engineering areas. These models optimize real functions of quaternion matrix vari…
A Lagrangian Dual Based Approach to Sparse Linear Programming
Chen Zhao, Ziyan Luo, Weiyue Li +2
A sparse linear programming (SLP) problem is a linear programming problem equipped with a sparsity (or cardinality) constraint, which is nonconvex and discontinuous theoretically a…
Solving the OSCAR and SLOPE Models Using a Semismooth Newton-Based Augmented Lagrangian Method
Ziyan Luo, Defeng Sun, Kim-Chuan Toh +1
The octagonal shrinkage and clustering algorithm for regression (OSCAR), equipped with the -norm and a pair-wise -norm regularizer, is a useful tool for feat…