no code implementations • 9 Jun 2023 • Zheng Zhai, Hengchao Chen, Zhigang Yao
The main result proves the inclusion relationship between ridges: $\cR(f\circ p)\subseteq \cR(p)$, provided that the transformation $f$ is strictly increasing and concave on the range of the function $p$.
no code implementations • 30 May 2023 • Hengchao Chen, Xin Chen, Mohamad Elmasri, Qiang Sun
This paper investigates gradient descent for solving low-rank matrix approximation problems.
no code implementations • 21 May 2023 • Zheng Zhai, Hengchao Chen, Qiang Sun
Community detection is an important problem in unsupervised learning.
no code implementations • 24 Feb 2023 • Hengchao Chen, Xiang Li, Qiang Sun
Non-asymptotic statistical analysis is often missing for modern geometry-aware machine learning algorithms due to the possibly intricate non-linear manifold structure.
no code implementations • 30 Jan 2023 • Zheng Zhai, Hengchao Chen, Qiang Sun
Motivated by manifold learning problems, this paper proposes a quadratic matrix factorization (QMF) framework to learn the curved manifold on which the dataset lies.
1 code implementation • 22 Feb 2022 • Hengchao Chen, Qiang Sun
This paper proposes a convex formulation for sparse multicategory linear discriminant analysis and then extend it to the distributed setting when data are stored across multiple sites.