35 citations · 158 across the 37 of their papers we have counts for
6 papers · 1 filter
Group SLOPE Penalized Low-Rank Tensor Regression
Yang Chen, Ziyan Luo
This article aims to seek a selection and estimation procedure for a class of tensor regression problems with multivariate covariates and matrix responses, which can provide theore…
Sparse least squares solutions of multilinear equations
Xin Li, Ziyan Luo, Yang Chen
In this paper, we propose a sparse least squares (SLS) optimization model for solving multilinear equations, in which the sparsity constraint on the solutions can effectively reduc…
Dual Quaternion Matrices in Multi-Agent Formation Control
Liqun Qi, Xiangke Wang, Ziyan Luo
Three kinds of dual quaternion matrices associated with the mutual visibility graph, namely the relative configuration adjacency matrix, the logarithm adjacency matrix and the rela…
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…
Low Rank Approximation of Dual Complex Matrices
Liqun Qi, David M. Alexander, Zhongming Chen +2
Dual complex numbers can represent rigid body motion in 2D spaces. Dual complex matrices are linked with screw theory, and have potential applications in various areas. In this pap…
2D+3D facial expression recognition via embedded tensor manifold regularization
Yunfang Fu, Qiuqi Ruan, Ziyan Luo +3
In this paper, a novel approach via embedded tensor manifold regularization for 2D+3D facial expression recognition (FERETMR) is proposed. Firstly, 3D tensors are constructed from…