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.
1 code implementation • 28 Oct 2022 • Ji Wang, Ding Lu, Ian Davidson, Zhaojun Bai
In this paper, we present a scalable algorithm for spectral clustering (SC) with group fairness constraints.
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.