16 citations · 57 across the 13 of their papers we have counts for
14 papers
Dual-Valued Functions of Dual Matrices with Applications in Causal Emergence
Tong Wei, Weiyang Ding, Yimin Wei
Dual continuation, an innovative insight into extending the real-valued functions of real matrices to the dual-valued functions of dual matrices with a foundation of the Gâteaux de…
Noda Iteration for Computing Generalized Tensor Eigenpairs
Wanli Ma, Weiyang Ding, Yimin Wei
In this paper, we propose the tensor Noda iteration (NI) and its inexact version for solving the eigenvalue problem of a particular class of tensor pairs called generalized $\mathc…
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain
Tong Wei, Weiyang Ding, Yimin Wei
Matrix factorizations in dual number algebra, a hypercomplex system, have been applied to kinematics, mechanisms, and other fields recently. We develop an approach to identify spat…
Rethinking Precision of Pseudo Label: Test-Time Adaptation via Complementary Learning
Jiayi Han, Longbin Zeng, Liang Du +2
In this work, we propose a novel complementary learning approach to enhance test-time adaptation (TTA), which has been proven to exhibit good performance on testing data with distr…
Perturbation analysis on T-eigenvalues of third-order tensors
Changxin Mo, Weiyang Ding, Yimin Wei
Perturbation analysis has emerged as a significant concern across multiple disciplines, with notable advancements being achieved, particularly in the realm of matrices. This study…
Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices
Guangjing Song, Weiyang Ding, Michael K. Ng
Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to represent red, green and blue chan…
Isotropic Polynomial Invariants of the Hall Tensor
Jinjie Liu, Weiyang Ding, Liqun Qi +1
The Hall tensor emerges from the study of the Hall effect, an important magnetic effect observed in electric conductors and semiconductors. The Hall tensor is third order and three…
On Some Sufficient Conditions for Strong Ellipticity
Weiyang Ding, Liqun Qi, Hong Yan
We establish several sufficient conditions for the strong ellipticity of any fourth-order elasticity tensor in this paper. The first presented sufficient condition is an extension…
Elasticity -tensors and the Strong Ellipticity Condition
Weiyang Ding, Jinjie Liu, Liqun Qi +1
In this paper, we establish two sufficient conditions for the strong ellipticity of any fourth-order elasticity tensor and investigate a class of tensors satisfying the strong elli…
Computing the -Spectral Radii of Uniform Hypergraphs with Applications
Jingya Chang, Weiyang Ding, Liqun Qi +1
The -spectral radius of a uniform hypergraph covers many important concepts, such as Lagrangian and spectral radius of the hypergraph, and is crucial for solving spectral extrem…
P-Tensors, P-Tensors, and Tensor Complementarity Problem
Weiyang Ding, Ziyan Luo, Liqun Qi
The concepts of P- and P-matrices are generalized to P- and P-tensors of even and odd orders via homogeneous formulae. Analog to the matrix case, our P-tensor definition en…
Inheritance Properties and Sum-of-Squares Decomposition of Hankel Tensors: Theory and Algorithms
Weiyang Ding, Liqun Qi, Yimin Wei
In this paper, we show that if a lower-order Hankel tensor is positive semi-definite (or positive definite, or negative semi-definite, or negative definite, or SOS), then its assoc…
Fast Hankel Tensor-Vector Products and Application to Exponential Data Fitting
Weiyang Ding, Liqun Qi, Yimin Wei
This paper is contributed to a fast algorithm for Hankel tensor-vector products. For this purpose, we first discuss a special class of Hankel tensors that can be diagonalized by th…
M-Tensors and Nonsingular M-Tensors
Weiyang Ding, Liqun Qi, Yimin Wei
The M-matrix is an important concept in matrix theory, and has many applications. Recently, this concept has been extended to higher order tensors [18]. In this paper, we establish…