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04/01/2023
Variations of Orthonormal Basis Matrices of Subspaces
An orthonormal basis matrix X of a subspace X is known not to be unique,...
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03/23/2023
On Generalizing Trace Minimization Principles, II
This paper is concerned with establishing a trace minimization principle...
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12/28/2022
Convergence of SCF for Locally Unitarily Invariantizable NEPv
We consider a class of eigenvector-dependent nonlinear eigenvalue proble...
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04/01/2021
On Generalizing Trace Minimization
Ky Fan's trace minimization principle is extended along the line of the ...
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01/12/2021
Trace Ratio Optimization with an Application to Multi-view Learning
A trace ratio optimization problem over the Stiefel manifold is investig...
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11/22/2020
Uncorrelated Semi-paired Subspace Learning
Multi-view datasets are increasingly collected in many real-world applic...
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10/04/2020
Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors
We propose a unified framework for multi-view subspace learning to learn...
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09/18/2020
Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems
We present a comprehensive convergence analysis for Self-Consistent Fiel...
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07/09/2020
Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions
We establish a family of subspace-based learning method for multi-view l...
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11/07/2019
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms
We consider the following constrained Rayleigh quotient optimization pro...
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09/25/2019
A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis
We propose an efficient algorithm for solving orthogonal canonical corre...
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03/02/2019
First-order Perturbation Theory for Eigenvalues and Eigenvectors
We present first-order perturbation analysis of a simple eigenvalue and ...
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08/28/2007