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Conference Papers Year : 2014

On monotonicity of multiplicative update rules for weighted nonnegative tensor factorization

Alexey Ozerov
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Ngoc Q. K. Duong
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Louis Chevallier
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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.
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Dates and versions

hal-01016315 , version 1 (30-06-2014)

Identifiers

  • HAL Id : hal-01016315 , version 1

Cite

Alexey Ozerov, Ngoc Q. K. 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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