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Positive and Negative Label-Driven Nonnegative Matrix Factorization
IEEE transactions on circuits and systems for video technology (Print), 2020Positive label is often used as the supervisory information in the learning scenario, which refers to the category that a sample is assigned to. However, another side information lying in the labels, which describes the categories that a sample is ...
Wenhui Wu +5 more
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Parallelism on the Nonnegative Matrix Factorization
2012A great interest has been given to the Nonnegative Matrix Factorization (NMF) due to its ability of extracting highly-interpretable parts from data sets. Nonetheless, its usage is hindered by the computational complexity when processing large matrices.
Edgardo Mejía-Roa +6 more
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Nonnegative Rank Factorization of a Nonnegative Matrix A with A A ≥0
Linear and Multilinear Algebra, 2003In this article we obtain a nonnegative rank factorization of nonnegative matrices A satisfying one or both of the following conditions: (i) AA † ⩽ 0 (ii) A † A ⩽ 0, thus providing a new set of conditions that guarantee the existence of a nonnegative least-squares solution of a linear system.
S.K. Jain, John Tynan
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On Nonnegative Solutions of Matrix Equations
SIAM Journal on Algebraic Discrete Methods, 1985Let A be a nontrivial nonnegative matrix, b a nontrivial nonnegative vector, and \(\lambda\) a positive number. Using the Frobenius structure of A, the author gives necessary and sufficient conditions for the existence of a nonnegative vector x such that \((\lambda I-A)x=b\).
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Multimedia tools and applications, 2022
E. Nasiri, K. Berahmand, Yuefeng Li
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E. Nasiri, K. Berahmand, Yuefeng Li
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Deep asymmetric nonnegative matrix factorization for graph clustering
Pattern Recognition, 2023Akram Hajiveiseh +2 more
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The Nonnegative Matrix Factorization: Regularization and Complexity
SIAM Journal on Scientific Computing, 2016Summary: Data continues to grow, and it has become ever important to find effective big data analysis techniques. Computational tools, such as singular value decomposition, have been employed in the interpretation of big data. Another tool has recently gained popularity and comparative success: the nonnegative matrix factorization (NMF). The NMF method
Kazufumi Ito, A. K. Landi
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On the Elasticity of the Perron Root of a Nonnegative Matrix
SIAM Journal on Matrix Analysis and Applications, 2002The paper deals with the elasticity of the Perron root \(\lambda\) with respect to \(a_{ij}\), \[ e_{ij}= \frac{a_{ij}}{\lambda} \frac{\partial \lambda}{\partial a_{ij}}, \quad i,j = 1,2,\dots, n, \] where \(A=(a_{ij})\) is an \(n \times n\) nonnegative irreducible matrix.
Stephen J. Kirkland +3 more
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Adaptive graph nonnegative matrix factorization with the self-paced regularization
Applied intelligence (Boston), 2022Xuanhao Yang +3 more
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A survey of deep nonnegative matrix factorization
Neurocomputing, 2022Wensheng Chen, Qianwen Zeng, Binbin Pan
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