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On monotonicity of multiplicative update rules for weighted nonnegative tensor factorization

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.
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https://hal.inria.fr/hal-01016315
Contributor : Alexey Ozerov <>
Submitted on : Monday, June 30, 2014 - 12:55:29 AM
Last modification on : Tuesday, July 1, 2014 - 11:14:27 AM
Long-term archiving on: : Tuesday, September 30, 2014 - 2:10:38 PM

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  • HAL Id : hal-01016315, version 1

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Alexey Ozerov, Ngoc Duong, Louis Chevallier. On monotonicity of multiplicative update rules for weighted nonnegative tensor factorization. International Symposium on Nonlinear Theory and its Applications (NOLTA 2014), Sep 2014, Luzern, Switzerland. ⟨hal-01016315⟩

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