8 citations · 15 across the 11 of their papers we have counts for
9 papers · 1 filter
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…
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…