New Methods of Data Clustering and Classification Based on NMF

Jie Tang, Xinyu Ceng, Bo Peng
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引用次数: 7

Abstract

Nonnegative matrix factorization method is a kind of new matrix decomposition method. It is an effective tool for large data processing and analysis. At the same time, NMF has an important performance on intelligent information processing and pattern recognition. This paper first analyses and discusses the NMF algorithms based on its basic theory. We then propose new methods of data clustering and classification based on NMF separately. NMF method is applied to reduce the dimension of the original matrix. We run clustering algorithms on the encoded matrix after NMF processing instead of on the original matrix. Running clustering algorithms on smaller encoded matrix can save more time and storage space. After that, we bring in a series of improvement methods of classification on the basis of clustering. Finally we have done experiments to test and verify them, and gotten good results.
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基于NMF的数据聚类与分类新方法
非负矩阵分解法是一种新的矩阵分解方法。它是处理和分析大数据的有效工具。同时,NMF在智能信息处理和模式识别方面也有着重要的作用。本文首先从NMF算法的基本理论出发,对其进行了分析和讨论。然后,我们分别提出了基于NMF的数据聚类和分类的新方法。采用NMF法对原始矩阵进行降维。我们在经过NMF处理后的编码矩阵上运行聚类算法,而不是在原始矩阵上运行。在较小的编码矩阵上运行聚类算法可以节省更多的时间和存储空间。在此基础上,提出了一系列基于聚类的分类改进方法。最后进行了实验验证,取得了良好的效果。
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