10 citations · 41 across the 21 of their papers we have counts for
21 papers
Convergence Analysis of Volumetric Stretch Energy Minimization and its Associated Optimal Mass Transport
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin +2
The volumetric stretch energy has been widely applied to the computation of volume-/mass-preserving parameterizations of simply connected tetrahedral mesh models. However, this app…
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Equiareal parameterizations
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin
In this paper, we first extend the finite distortion problem from the bounded domains in to the closed genus-zero surfaces in by the stereographic pro…
A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors
Chun-Hua Guo, Wen-Wei Lin, Ching-Sung Liu
We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eig…
Convergence Analysis of Dirichlet Energy Minimization for Spherical Conformal Parameterizations
Wei-Hung Liao, Tsung-Ming Huang, Wen-Wei Lin +1
In this paper, we first derive a theoretical basis for spherical conformal parameterizations between a simply connected closed surface and a unit sphere $\mathbb{S}^2…
Bifurcation Analysis of the Eigenstructure of the Discrete Single-curl Operator in Three-dimensional Maxwell's Equations with Pasteur Media
Xin Liang, Zhen-Chen Guo, Tsung-Ming Huang +2
This paper focuses on studying the bifurcation analysis of the eigenstructure of the -parameterized generalized eigenvalue problem (-GEP) arising in three-dimensional (3D) so…
Decoupled Structure-Preserving Doubling Algorithm with Truncation for Large-Scale Algebraic Riccati Equations
Zhen-Chen Guo, Eric King-Wah Chu, Xin Liang +1
In \emph{Guo et al, arXiv:2005.08288}, we propose a decoupled form of the structure-preserving doubling algorithm (dSDA). The method decouples the original two to four coupled recu…
Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions
Li Wang, Ren-Cang Li, Wen-Wei
We establish a family of subspace-based learning method for multi-view learning using the least squares as the fundamental basis. Specifically, we investigate orthonormalized parti…
A decoupled form of the structure-preserving doubling algorithm with low-rank structures
Zhen-Chen Guo, Eric King-Wah Chu, Xin Liang +1
The structure-preserving doubling algorithm (SDA) is a fairly efficient method for solving problems closely related to Hamiltonian (or Hamiltonian-like) matrices, such as computing…
Doubling algorithm for the discretized Bethe-Salpeter eigenvalue problem
Zhen-Chen Guo, Eric King-Wah Chu, Wen-Wei Lin
The discretized Bethe-Salpeter eigenvalue problem arises in the Green's function evaluation in many body physics and quantum chemistry. Discretization leads to a matrix eigenvalue…
Intermittent behaviors in weakly coupled map lattices
Tiexiang Li, Wen-wei Lin, Yiqian Wang +1
In this paper, we study intermittent behaviors of coupled piecewise-expanding map lattices with two nodes and a weak coupling. We show that the successive phase transition between…
Nearly Optimal Stochastic Approximation for Online Principal Subspace Estimation
Xin Liang, Zhen-Chen Guo, Li Wang +2
Principal component analysis (PCA) has been widely used in analyzing high-dimensional data. It converts a set of observed data points of possibly correlated variables into a set of…
iSIRA: Integrated Shift-Invert Residual Arnoldi Method for Graph Laplacian Matrices from Big Data
Wei-Qiang Huang, Wen-Wei Lin, Henry Horng-Shing Lu +1
The eigenvalue problem of a graph Laplacian matrix arising from a simple, connected and undirected graph has been given more attention due to its extensive applications, such a…
A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations
Mei-Heng Yueh, Wen-Wei Lin, Chin-Tien Wu +1
Surface parameterizations have been widely applied to computer graphics and digital geometry processing. In this paper, we propose a novel stretch energy minimization (SEM) algorit…
A modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensor
Chun-Hua Guo, Wen-Wei Lin, Ching-Sung Liu
We propose a modified Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. When the tensor is irreducible, all nonnegative eigenpairs are known to be…
Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors
Yueh-Cheng Kuo, Wen-Wei Lin, Ching-Sung Liu
In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method…
Conformal Surface Morphing with Applications on Facial Expressions
Mei-Heng Yueh, Xianfeng David Gu, Wen-Wei Lin +2
Morphing is the process of changing one figure into another. Some numerical methods of 3D surface morphing by deformable modeling and conformal mapping are shown in this study. It…
Structure-Preserving Flows of Symplectic Matrix Pairs
Yueh-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh
We construct a nonlinear differential equation of matrix pairs that is invariant (the \textbf{Structure-Preserving Property}) in the class of symp…
Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media
Ruey-Lin Chern, Han-En Hsieh, Tsung-Ming Huang +2
This article focuses on solving the generalized eigenvalue problems (GEP) arising in the source-free Maxwell equation with magnetoelectric coupling effects that models three-dimens…
A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible M-matrix
Zhongxiao Jia, Wen-Wei Lin, Ching-Sung Liu
In this paper, based on the Noda iteration, we present inexact Noda iterations (INI), to find the smallest eigenvalue and the associated positive eigenvector of a large irreducible…
A Novel Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations
Wei-Qiang Huang, Xianfeng David Gu, Wen-Wei Lin +1
Numerous methods for computing conformal mesh paramterizations has been developed due to the vast applications in the field of geometry processing. Spectral conformal parameterizat…
On the Convergence of Ritz Pairs and Refined Ritz Vectors for Quadratic Eigenvalue Problems
Tsung-Ming Huang, Zhongxiao Jia, Wen-Wei Lin
For a given subspace, the Rayleigh-Ritz method projects the large quadratic eigenvalue problem (QEP) onto it and produces a small sized dense QEP. Similar to the Rayleigh-Ritz meth…