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== Relation to Data Clustering ==
Although initially NMF is considered to be different from vector quantization ([[K-means clustering]]){{Fact|date=March 2007}}, it was later shown<ref>
Chris Ding, Xiaofeng He, and Horst D. Simon. "[http://crd.lbl.gov/~cding/papers/nmfSIAM1.pdf On the Equivalence of Nonnegative Matrix Factorization and Spectral Clustering]". Proc. SIAM Int'l Conf. Data Mining, pp:606-610, April 2005.</ref>
that NMF is equivalent to the relaxed [[K-means clustering]] using the Frobenius norm objective function, matrix factor '''W''' contains cluster centroids and '''H''' contains cluster membership indicators; therefore NMF provides a framework for data clustering.
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