163 citations · 202 across the 19 of their papers we have counts for
19 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…
2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration
Tianyi Lu, Yangfeng Su, Zhaojun Bai
In Part I of this paper, we introduced a two dimensional eigenvalue problem (2DEVP) of a matrix pair and investigated its fundamental theory such as existence, variational characte…
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent-Field Iteration
Zhaojun Bai, Ding Lu
This paper concerns a class of monotone eigenvalue problems with eigenvector nonlinearities (mNEPv). The mNEPv is encountered in applications such as the computation of joint numer…
A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis
Dong Min Roh, Zhaojun Bai, Ren-Cang Li
Much like the classical Fisher linear discriminant analysis (LDA), the recently proposed Wasserstein discriminant analysis (WDA) is a linear dimensionality reduction method that se…
Scalable Spectral Clustering with Group Fairness Constraints
Ji Wang, Ding Lu, Ian Davidson +1
There are synergies of research interests and industrial efforts in modeling fairness and correcting algorithmic bias in machine learning. In this paper, we present a scalable algo…
2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications
Tianyi Lu, Yangfeng Su, Zhaojun Bai
In Part I of this paper, we introduced a 2D eigenvalue problem (2DEVP) and presented theoretical results of the 2DEVP and its intrinsic connetion with the eigenvalue optimizations.…