8 citations · 15 across the 11 of their papers we have counts for
12 papers
NEPv Approach for Optimization on Stiefel Manifold with the -norm Regularization
Ren-Cang Li, Li Wang, Lei-Hong Zhang +1
Row-sparse projection provides a useful tool in machine learning (ML) when it comes to, for example, feature selection, aiming to choose most relevant features for various ML objec…
On a Conjecture Related to Eigenvalue Perturbations
Lei-Hong Zhang, Ren-Cang Li
In connection with eigenvalue perturbation bounds, Li [Linear Algebra Appl., 278 (1998), pp. 317-326] formulated three minimization problems involving Hadamard products. The third…
A Sharp Unitarily Invariant Norm Bound for the Off-Diagonal Block Perturbation of a Hermitian Matrix
Lei-Hong Zhang, Ren-Cang Li
Let be partitioned Hermitian matrices,…
An NPDo Approach for Principal Joint Block Diagonalization
Ren-Cang Li, Ding Lu, Li Wang +1
Matrix joint block-diagonalization (JBD) frequently arises from diverse applications such as independent component analysis, blind source separation, and common principal component…
An NEPv Approach for Feature Selection via Orthogonal OCCA with the (2,1)-norm Regularization
Li Wang, Lei-Hong Zhang, Ren-Cang Li
A novel feature selection model via orthogonal canonical correlation analysis with the -norm regularization is proposed, and the model is solved by a practical NEPv approach…
On Stewart's Perturbation Theorem for SVD
Ren-Cang Li, Ninoslav Truhar, Lei-Hong Zhang
This paper establishes a variant of Stewart's theorem (Theorem~6.4 of Stewart, {\em SIAM Rev.}, 15:727--764, 1973) for the singular subspaces associated with the SVD of a matrix su…
Quality of Approximate Balanced Truncation
Lei-Hong Zhang, Ren-Cang Li
Model reduction is a powerful tool in dealing with numerical simulation of large scale dynamic systems for studying complex physical systems. Two major types of model reduction met…
On Generalizing Trace Minimization
Xin Liang, Li Wang, Lei-Hong Zhang +1
Ky Fan's trace minimization principle is extended along the line of the Brockett cost function in on the Stiefel manifold, where of an apt size is…
Trace Ratio Optimization with an Application to Multi-view Learning
Li Wang, Lei-Hong Zhang, Ren-Cang Li
A trace ratio optimization problem over the Stiefel manifold is investigated from the perspectives of both theory and numerical computations. At least three special cases of the pr…
Uncorrelated Semi-paired Subspace Learning
Li Wang, Lei-Hong Zhang, Chungen Shen +1
Multi-view datasets are increasingly collected in many real-world applications, and we have seen better learning performance by existing multi-view learning methods than by convent…
Solving Symmetric and Positive Definite Second-Order Cone Linear Complementarity Problem by A Rational Krylov Subspace Method
Yiding Lin, Xiang Wang, Leihong Zhang
The second-order cone linear complementarity problem (SOCLCP) is a generalization of the classical linear complementarity problem. It has been known that SOCLCP, with the globally…
A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis
Leihong Zhang, Li Wang, Zhaojun Bai +1
We propose an efficient algorithm for solving orthogonal canonical correlation analysis (OCCA) in the form of trace-fractional structure and orthogonal linear projections. Even tho…