Advances in Nonnegative Matrix and Tensor Factorization

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Advances in Nonnegative Matrix and Tensor Factorization

1 Laboratory for Advanced Brain Signal Processing, RIKEN Brain Science Institute, Saitama 351-0198, Japan 2Department of Informatics and Mathematical Modeling, Technical University of Denmark, Richard Petersens Plads, Building 321, 2800 Lyngby, Denmark 3Advanced Technology Labs, Adobe Systems Inc., 275 Grove Street, Newton, MA 02466, USA 4Centre for Vision, Speech, and Signal Processing, Univer...

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Nonnegative Matrix and Tensor Factorization

T here has been a recent surge of interest in matrix and tensor factorization (decomposition), which provides meaningful latent (hidden) components or features with physical or physiological meaning and interpretation. Nonnegative matrix factorization (NMF) and its extension to three-dimensional (3-D) nonnegative tensor factorization (NTF) attempt to recover hidden nonnegative common structures...

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Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization

In the paper we present new Alternating Least Squares (ALS) algorithms for Nonnegative Matrix Factorization (NMF) and their extensions to 3D Nonnegative Tensor Factorization (NTF) that are robust in the presence of noise and have many potential applications, including multi-way Blind Source Separation (BSS), multi-sensory or multi-dimensional data analysis, and nonnegative neural sparse coding....

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Algorithms for Nonnegative Tensor Factorization

Nonnegative Matrix Factorization (NMF) is an efficient technique to approximate a large matrix containing only nonnegative elements as a product of two nonnegative matrices of significantly smaller size. The guaranteed nonnegativity of the factors is a distinctive property that other widely used matrix factorization methods do not have. Matrices can also be seen as second-order tensors. For som...

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Quantized nonnegative matrix factorization

Even though Nonnegative Matrix Factorization (NMF) in its original form performs rank reduction and signal compaction implicitly, it does not explicitly consider storage or transmission constraints. We propose a Frobenius-norm Quantized Nonnegative Matrix Factorization algorithm that is 1) almost as precise as traditional NMF for decomposition ranks of interest (with in 1-4dB), 2) admits to pra...

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ژورنال

عنوان ژورنال: Computational Intelligence and Neuroscience

سال: 2008

ISSN: 1687-5265,1687-5273

DOI: 10.1155/2008/852187