Yimin Wei
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View article: A general partial Cramér's condition for Edgeworth expansion of a function of sample means with applications
A general partial Cramér's condition for Edgeworth expansion of a function of sample means with applications Open
A large class of statistics can be formulated as smooth functions of sample means of random vectors. In this paper, we propose a general partial Cramér's condition (GPCC) and apply it to establish the validity of the Edgeworth expansion fo…
View article: Correction: Efficacy of internet-based peer education for postpartum depression: study protocol of a randomized controlled trial
Correction: Efficacy of internet-based peer education for postpartum depression: study protocol of a randomized controlled trial Open
[This corrects the article DOI: 10.3389/fpubh.2025.1630303.].
View article: How many integrals should be evaluated at least in two-dimensional hyperinterpolation?
How many integrals should be evaluated at least in two-dimensional hyperinterpolation? Open
This paper introduces a novel approach to approximating continuous functions over high-dimensional hypercubes by integrating matrix CUR decomposition with hyperinterpolation techniques. Traditional Fourier-based hyperinterpolation methods …
View article: A Schur-Horn Type Theorem for Symplectic Matrices
A Schur-Horn Type Theorem for Symplectic Matrices Open
In this note, we establish a new version of Schur-Horn type theorem for symplectic matrices. Meanwhile, we establish a necessary and sufficient condition for the equality to hold in the above result.
View article: Efficacy of internet-based peer education for postpartum depression: study protocol of a randomized controlled trial
Efficacy of internet-based peer education for postpartum depression: study protocol of a randomized controlled trial Open
Introduction Postpartum depression (PPD) is widely and profoundly affecting family and social stability. But now the consultation rate of overall PPD population is still not ideal for practical reasons. This study observes the effectivenes…
View article: Multi-objective Optimization of Single-stage High-flow Centrifugal Blower Based on Sparrow Search Algorithm-back Propagation Neural Network and Non-dominated Sorting Genetic Algorithm -Ⅱ
Multi-objective Optimization of Single-stage High-flow Centrifugal Blower Based on Sparrow Search Algorithm-back Propagation Neural Network and Non-dominated Sorting Genetic Algorithm -Ⅱ Open
In this paper, the aerodynamic performance of the single-stage high-flow centrifugal blower is enhanced and optimized through multi-objective optimization by modifying the geometry parameters of the impeller. Seven design variables, which …
View article: Optimization study of performance for latent heat thermal energy storage unit with non-uniform annular perforated fins based on response surface methodology
Optimization study of performance for latent heat thermal energy storage unit with non-uniform annular perforated fins based on response surface methodology Open
View article: Edgeworth corrections for the spiked eigenvalues of non-Gaussian sample covariance matrices with applications
Edgeworth corrections for the spiked eigenvalues of non-Gaussian sample covariance matrices with applications Open
Yang and Johnstone (2018) established an Edgeworth correction for the largest sample eigenvalue in a spiked covariance model under the assumption of Gaussian observations, leaving the extension to non-Gaussian settings as an open problem. …
View article: A deep learning model for early diagnosis of alzheimer’s disease combined with 3D CNN and video Swin transformer
A deep learning model for early diagnosis of alzheimer’s disease combined with 3D CNN and video Swin transformer Open
View article: Pseudocapacitive materials for energy storage: properties, mechanisms, and applications in supercapacitors and batteries
Pseudocapacitive materials for energy storage: properties, mechanisms, and applications in supercapacitors and batteries Open
The growing demand for efficient energy storage has intensified interest in pseudocapacitive materials, known for their high-power density, rapid charge–discharge capabilities, and tunable physicochemical properties. This review explores t…
View article: Improved Splitting-Integrating Methods for Image Geometric Transformations: Error Analysis and Applications
Improved Splitting-Integrating Methods for Image Geometric Transformations: Error Analysis and Applications Open
Geometric image transformations are fundamental to image processing, computer vision and graphics, with critical applications to pattern recognition and facial identification. The splitting-integrating method (SIM) is well suited to the in…
View article: High-Speed Bandwidth Acquisition System Based on Intermediate Frequency Signal Processing
High-Speed Bandwidth Acquisition System Based on Intermediate Frequency Signal Processing Open
In the high-speed bandwidth acquisition and playback system, due to the current hardware conditions, it is impossible to directly sample the signal at the RF end. Therefore, first complete the down-conversion in the RF module, reduce the s…
View article: Tensor-based Model Reduction and Identification for Generalized Memory Polynomial
Tensor-based Model Reduction and Identification for Generalized Memory Polynomial Open
Power amplifiers (PAs) are essential components in wireless communication systems, and the design of their behavioral models has been an important research topic for many years. The widely used generalized memory polynomial (GMP) model suf…
View article: Effective algorithms for tensor train decomposition via the UTV framework
Effective algorithms for tensor train decomposition via the UTV framework Open
The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, whic…
View article: Face Boundary Formulation for Harmonic Models: Face Image Resembling
Face Boundary Formulation for Harmonic Models: Face Image Resembling Open
This paper is devoted to numerical algorithms based on harmonic transformations with two goals: (1) face boundary formulation by blending techniques based on the known characteristic nodes and (2) some challenging examples of face resembli…
View article: LU Decomposition and Generalized Autoone-Takagi Decomposition of Dual Matrices and their Applications
LU Decomposition and Generalized Autoone-Takagi Decomposition of Dual Matrices and their Applications Open
This paper uses matrix transformations to provide the Autoone-Takagi decomposition of dual complex symmetric matrices and extends it to dual quaternion $η$-Hermitian matrices. The LU decomposition of dual matrices is given using the genera…
View article: Effect of metal foam with gradient porosity on the thermal storage performance of a solar phase change thermal energy storage system
Effect of metal foam with gradient porosity on the thermal storage performance of a solar phase change thermal energy storage system Open
View article: Dual-Valued Functions of Dual Matrices with Applications in Causal Emergence
Dual-Valued Functions of Dual Matrices with Applications in Causal Emergence Open
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 derivative, is proposed. Theoretically, the general forms of …
View article: $M$-QR decomposition and hyperpower iterative methods for computing outer inverses of tensors
$M$-QR decomposition and hyperpower iterative methods for computing outer inverses of tensors Open
The outer inverse of tensors plays increasingly significant roles in computational mathematics, numerical analysis, and other generalized inverses of tensors. In this paper, we compute outer inverses with prescribed ranges and kernels of a…
View article: Generalized Choi–Davis–Jensen’s Operator Inequalities and Their Applications
Generalized Choi–Davis–Jensen’s Operator Inequalities and Their Applications Open
The original Choi–Davis–Jensen’s inequality, known for its extensive applications in various scientific and engineering fields, has inspired researchers to pursue its generalizations. In this study, we extend the Choi–Davis–Jensen’s inequa…
View article: Perturbation of Dual Group Generalized Inverse and Group Inverse
Perturbation of Dual Group Generalized Inverse and Group Inverse Open
Symmetry plays a crucial role in the study of dual matrices and dual matrix group inverses. This paper is mainly divided into two parts. We present the definition of the spectral norm of a dual real matrix A^, (which is usually represented…
View article: Inverse kinematics solution and control method of 6-degree-of-freedom manipulator based on deep reinforcement learning
Inverse kinematics solution and control method of 6-degree-of-freedom manipulator based on deep reinforcement learning Open
View article: Correction to: A Gauss–Newton method for mixed least squares-total least squares problems
Correction to: A Gauss–Newton method for mixed least squares-total least squares problems Open
View article: Randomized algorithms for computing the tensor train approximation and their applications
Randomized algorithms for computing the tensor train approximation and their applications Open
In this paper, we focus on the fixed TT-rank and precision problems of finding an approximation of the tensor train (TT) decomposition of a tensor. Note that the TT-SVD and TT-cross are two well-known algorithms for these two problems. Fir…
View article: QR Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain
QR Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain Open
Matrix decompositions in dual number representations have played an important role in fields such as kinematics and computer graphics in recent years. In this paper, we present a QR decomposition algorithm for dual number matrices, specifi…
View article: Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications
Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications Open
The original Choi-Davis-Jensen's inequality, with its wide-ranging applications in diverse scientific and engineering fields, has motivated researchers to explore generalizations. In this study, we extend Davis-Choi-Jensen's inequality by …
View article: Algebraic Riccati Tensor Equations with Applications in Multilinear Control Systems
Algebraic Riccati Tensor Equations with Applications in Multilinear Control Systems Open
In a recent paper by Chen et al. [8], the authors initiated the control-theoretic study of a class of discrete-time multilinear time-invariant (MLTI) control systems, where system states, inputs, and outputs are all tensors endowed with th…
View article: Coseparable Nonnegative Tensor Factorization With T-CUR Decomposition
Coseparable Nonnegative Tensor Factorization With T-CUR Decomposition Open
Nonnegative Matrix Factorization (NMF) is an important unsupervised learning method to extract meaningful features from data. To address the NMF problem within a polynomial time framework, researchers have introduced a separability assumpt…
View article: Applying Deep Learning Algorithms for Non-Invasive Estimation of Carotenoid Content in Foot Muscle of Different Colors in Pacific Abalone
Applying Deep Learning Algorithms for Non-Invasive Estimation of Carotenoid Content in Foot Muscle of Different Colors in Pacific Abalone Open
View article: The perturbation of Drazin inverse and dual Drazin inverse
The perturbation of Drazin inverse and dual Drazin inverse Open
In this study, we derive the Drazin inverse (A+εB)D {\left(A+\varepsilon B)}^{D} of the complex matrix A+εB A+\varepsilon B with Ind(A+εB)>1 {\rm{Ind}}\left(A+\varepsilon B)\gt 1 and Ind(A)=k {\rm{Ind}}\left(A)=k and the group inverse (A+ε…