no code implementations • 21 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.
no code implementations • 12 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.
no code implementations • 22 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.
no code implementations • 4 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.
no code implementations • 9 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.
no code implementations • 7 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.
no code implementations • 25 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.
no code implementations • 5 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.