Numerical Methods for Q-Weighted Nonnegative Matrix Tri-Factorization

被引：0
|
作者：
Li, Chun-Mei [1 ]
Lu, Lin-Zhang [1 ,2 ]
Chen, Zhen [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2020年 / 10卷 / 02期
基金：
美国国家科学基金会;
关键词：
Nonnegative matrix factorisation; necessary condition; PANLS method; ELS technique; clustering analysis; PROJECTED GRADIENT METHODS; CONVERGENCE; ALGORITHMS;
D O I：
10.4208/eajam.150419.140719
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Q-weighted nonnegative matrix tri-factorisation problem arising in clustering analysis is considered and a necessary condition for its optimal solution is obtained. The problem is solved by the proximal alternating nonnegative least squares method supplemented by an acceleration scheme. The convergence of the methods is studied. Numerical examples show the feasibility and efficiency of the methods proposed.
引用
收藏
页码：256 / 273
页数：18
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