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Non-redundant multiple clustering by nonnegative matrix factorization

delete2016-12-23
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OA
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S
Sen Yang
L
Lijun Zhang *
DOI:10.1007/s10994-016-5601-9delete
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Abstract

Abstract

En 中文
Clustering is one of the basic tasks in data mining and machine learning which aims at discovering hidden structure in the data. For many real-world applications, there often exist many different yet meaningful clusterings while most of existing clustering methods only produce a single clustering. To address this limitation, multiple clustering, which tries to generate clusterings that are high quality and different from each other, has emerged recently. In this paper, we propose a novel alternative clustering method that generates non-redundant multiple clusterings sequentially. The algorithm is built upon nonnegative matrix factorization, and we take advantage of the nonnegative property to enforce the non-redundancy. Specifically, we design a quadratic term to measure the redundancy between the reference clustering and the new clustering, and incorporate it into the objective. The optimization problem takes on a very simple form, and can be solved efficiently by multiplicative updating rules. Experimental results demonstrate that the proposed algorithm is comparable to or outperforms existing multiple clustering methods.
Keywords:
Multiple clustering
Alternative clustering
Nonnegative Matrix Factorization
Multiplicative updating
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Journal

Machine Learning cover
Machine Learning
IF:
2.9
Papers:
2.6K
Citations:
3.4W

Organization

N
nanjing university
Scholars:
7.8W
Papers: 5.6W
Citations: 87