Computer Science > Numerical Analysis
[Submitted on 26 Mar 2009 (v1), last revised 12 Apr 2009 (this version, v2)]
Title:Nonnegative approximations of nonnegative tensors
View PDFAbstract: We study the decomposition of a nonnegative tensor into a minimal sum of outer product of nonnegative vectors and the associated parsimonious naive 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 Bregman divergences.
Submission history
From: Lek-Heng Lim [view email][v1] Thu, 26 Mar 2009 08:39:45 UTC (20 KB)
[v2] Sun, 12 Apr 2009 05:12:19 UTC (20 KB)
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