5 papers
An active-set based recursive approach for solving convex isotonic regression with generalized order restrictions
Xuyu Chen, Xudong Li, Yangfeng Su
This paper studies the convex isotonic regression with generalized order restrictions induced by a directed tree. The proposed model covers various intriguing optimization problems…
2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration
Tianyi Lu, Yangfeng Su, Zhaojun Bai
In Part I of this paper, we introduced a two dimensional eigenvalue problem (2DEVP) of a matrix pair and investigated its fundamental theory such as existence, variational characte…
2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications
Tianyi Lu, Yangfeng Su, Zhaojun Bai
In Part I of this paper, we introduced a 2D eigenvalue problem (2DEVP) and presented theoretical results of the 2DEVP and its intrinsic connetion with the eigenvalue optimizations.…
Projection based Active Gaussian Process Regression for Pareto Front Modeling
Zhengqi Gao, Jun Tao, Yangfeng Su +2
Pareto Front (PF) modeling is essential in decision making problems across all domains such as economics, medicine or engineering. In Operation Research literature, this task has b…
2D Eigenvalue Problem I: Existence and Number of Solutions
Yangfeng Su, Tianyi Lu, Zhaojun Bai
A two dimensional eigenvalue problem (2DEVP) of a Hermitian matrix pair is introduced in this paper. The 2DEVP can be viewed as a linear algebraic formulation of the well-…