On the clustering aspect of nonnegative matrix factorization

Details On the clustering aspect of nonnegative matrix factorization On the clustering aspect of nonnegative matrix factorization

2010-05-29

arxiv.org/abs/1005.5462v2

Computer Science

Learning

4 pages, no figure, to appear in ICEIE 2010

Scientific paper

This paper provides a theoretical explanation on the clustering aspect of nonnegative matrix factorization (NMF). We prove that even without imposing orthogonality nor sparsity constraint on the basis and/or coefficient matrix, NMF still can give clustering results, thus providing a theoretical support for many works, e.g., Xu et al. [1] and Kim et al. [2], that show the superiority of the standard NMF as a clustering method.

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