Nonnegative approximations of nonnegative tensors

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Nonnegative approximations of nonnegative tensors

We study the decomposition of a nonnegative tensor into a minimal sum of outer product of nonnegative vectors and the associated parsimonious näıve Bayes probabilistic model. We show that the corresponding approximation problem, which is central to nonnegative parafac, will always have optimal solutions. The result holds for any choice of norms and, under a mild assumption, even Brègman diverge...

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ژورنال

عنوان ژورنال: Journal of Chemometrics

سال: 2009

ISSN: 0886-9383,1099-128X

DOI: 10.1002/cem.1244