A Survey on Algorithms of Non-Negative Matrix Factorization

LI Le; ZHANG Yu-jin

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A Survey on Algorithms of Non-Negative Matrix Factorization

更新时间：2025-07-16

- A Survey on Algorithms of Non-Negative Matrix Factorization
- Acta Electronica Sinica Vol. 36, Issue 4, Pages: 737-743(2008)
- 作者机构：
  
  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
  3. 清华信息科学与技术国家实验室北京,100084
  4. 清华大学电子工程系北京,100084
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391
- Published：2008
- 稿件说明：
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LI Le, ZHANG Yu-jin. A Survey on Algorithms of Non-Negative Matrix Factorization[J]. Acta Electronica Sinica, 2008, 36(4): 737-743.
DOI：

LI Le, ZHANG Yu-jin. A Survey on Algorithms of Non-Negative Matrix Factorization[J]. Acta Electronica Sinica, 2008, 36(4): 737-743. DOI：

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.

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.

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