On monotonicity of multiplicative update rules for weighted nonnegative tensor factorizationReport as inadecuate




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Abstract : This paper focuses on so-called weighted variants of nonnnegative matrix factorization NMF and more generally nonnnegative tensor factorization NTF approximations. We consider multiplicative update MU rules to optimize these approximations, and we prove that under certain conditions the results on monotonicity of MU rules for NMF generalize to both the NTF and the weighted NTF WNTF cases.





Author: Alexey Ozerov - Ngoc Duong - Louis Chevallier -

Source: https://hal.archives-ouvertes.fr/



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