Iterative algorithm for the Q-weighted nonnegative matrix 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, Guizhou, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen, Fujian, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Weighted nonnegative matrix factorization; Q-weighted norm; Iterative algorithm;
D O I：
10.1080/03081087.2019.1663138
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Nonnegative matrix factorization, which decomposes a target matrix into the product of two matrices with nonnegative elements, has been widely used in various fields of science, engineering and technology. In this paper, we consider the more general Q-weighted nonnegative matrix factorization (QWNMF) problem. By using the additive representation of the Q-weighted norm, the QWNMF problem is transformed into an unconstraint optimization problem, and then a new iterative algorithm is designed to solve it. The numerical analysis of this algorithm is also given. Numerical examples show that the new method is feasible and effective.
引用
收藏
页码：2130 / 2142
页数：13
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