Search Results for author: Ren-cang Li

Found 8 papers, 0 papers with code

A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis

no code implementations21 Nov 2022 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 seeks a projection matrix to maximize the dispersion of different data classes and minimize the dispersion of same data classes via a bi-level optimization.

Dimensionality Reduction

Trace Ratio Optimization with an Application to Multi-view Learning

no code implementations12 Jan 2021 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.

MULTI-VIEW LEARNING

Uncorrelated Semi-paired Subspace Learning

no code implementations22 Nov 2020 Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-cang Li

However, unpaired data can be more abundant in reality than paired ones and simply ignoring all unpaired data incur tremendous waste in resources.

MULTI-VIEW LEARNING

Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors

no code implementations4 Oct 2020 Li Wang, Leihong Zhang, Chungen Shen, Ren-cang Li

We propose a unified framework for multi-view subspace learning to learn individual orthogonal projections for all views.

General Classification Multi-Label Classification

Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions

no code implementations9 Jul 2020 Li Wang, Ren-cang Li, Wen-Wei

Building on the least squares reformulation of OPLS, we propose a unified multi-view learning framework to learn a classifier over a common latent space shared by all views.

Cross-Modal Retrieval MULTI-VIEW LEARNING +1

Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms

no code implementations7 Nov 2019 Yunshen Zhou, Zhaojun Bai, Ren-cang Li

We start by equivalently transforming CRQopt into an optimization problem, called LGopt, of minimizing the Lagrangian multiplier of CRQopt, and then an problem, called QEPmin, of finding the smallest eigenvalue of a quadratic eigenvalue problem.

Constrained Clustering

A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis

no code implementations25 Sep 2019 Leihong Zhang, Li Wang, Zhaojun Bai, Ren-cang Li

In this paper, we propose an alternating numerical scheme whose core is the sub-maximization problem in the trace-fractional form with an orthogonal constraint.

Multi-Label Classification

Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior

no code implementations5 Jun 2019 Feng Liu, Li Wang, Yifei Lou, Ren-cang Li, Patrick Purdon

Traditional EEG/MEG Source Imaging (ESI) methods usually assume that either source activity at different time points is unrelated, or that similar spatiotemporal patterns exist across an entire study period.

EEG

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