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非负矩阵分解算法综述
引用本文:李乐,章毓晋. 非负矩阵分解算法综述[J]. 电子学报, 2008, 36(4): 737-743
作者姓名:李乐  章毓晋
作者单位:1. 清华信息科学与技术国家实验室,北京 100084;2. 清华大学电子工程系,北京 100084
摘    要:
本文介绍了非负矩阵分解(Non-negative Matrix Factorization,NMF)的基本原理和性质,将现有NMF算法分为了基于基本NMF模型的算法和基于改进NMF模型的算法两大类,在此基础上较为系统地分析、总结和比较了它们的构造原则、应用特点以及存在的问题,最后预测和分析了未来NMF算法研究的可能方向.

关 键 词:非负矩阵分解  多元数据描述  特征提取  
文章编号:0372-2112(2008)04-0737-07
修稿时间:2007-03-26

A Survey on Algorithms of Non-Negative Matrix Factorization
LI Le,ZHANG Yu-jin. A Survey on Algorithms of Non-Negative Matrix Factorization[J]. Acta Electronica Sinica, 2008, 36(4): 737-743
Authors:LI Le  ZHANG Yu-jin
Affiliation:1. Tsinghua National Laboratory for Information Science and Technology,Tsinghua University,Beijing 100084,China;2. Department of Electronic Engineering,Tsinghua University,Beijing 100084,China
Abstract:
The fundamentals and properties of non-negative matrix factorization(NMF) are introduced,and available NMF algorithms are classified into two categories:basic NMF model-based algorithms and improved NMF model-based algorithms.Based on these,the design principles,application characteristics,and existing problems of the algorithms are systematically discussed.Besides,some open problems in the development of NMF algorithms are presented and analyzed.
Keywords:non-negative matrix factorization  multivariate data representation  feature extraction  
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