Search Results for author: Hengchao Chen

Found 6 papers, 1 papers with code

Ridge Estimation with Nonlinear Transformations

no code implementations9 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 $p$.

Fast global convergence of gradient descent for low-rank matrix approximation

no code implementations30 May 2023 Hengchao Chen, Xin Chen, Mohamad Elmasri, Qiang Sun

This paper investigates gradient descent for solving low-rank matrix approximation problems.

Statistical Analysis of Karcher Means for Random Restricted PSD Matrices

no code implementations24 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.

Quadratic Matrix Factorization with Applications to Manifold Learning

no code implementations30 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.

Distributed Sparse Multicategory Discriminant Analysis

1 code implementation22 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.

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