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Novel Algorithm for Non-Negative Matrix Factorization
New Mathematics and Natural Computation, 2015Non-negative matrix factorization (NMF) is an emerging technique with a wide spectrum of potential applications in data analysis. Mathematically, NMF can be formulated as a minimization problem with non-negative constraints. This problem attracts much attention from researchers for theoretical reasons and for potential applications.
Tran Dang Hien +3 more
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Non-negative matrix factorization with α-divergence
Pattern Recognition Letters, 2008Non-negative matrix factorization (NMF) is a popular technique for pattern recognition, data analysis, and dimensionality reduction, the goal of which is to decompose non-negative data matrix X into a product of basis matrix A and encoding variable matrix S with both A and S allowed to have only non-negative elements. In this paper, we consider Amari's
Cichocki, A, Lee, H, Kim, YD, Choi, S
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Image prediction based on non-negative matrix factorization
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011This paper presents a novel spatial texture prediction method based on non-negative matrix factorization. As an extension of template matching, approximation based iterative texture prediction methods have recently been considered for image prediction.
Turkan, Mehmet, Guillemot, Christine
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Optimum Factorization of Non-Negative Matrix Functions
Theory of Probability & Its Applications, 1964The proposition about optimum factorization of a non-negative matrix function $f(\lambda )$ is generalized for the case where the unknown function $A(z)$ of class $H_2 $ satisfies the inequality \[ A\left( {e^{ - i\lambda } } \right)A^ * \left( {e^{ - i\lambda } } \right) \leqq 2\pi f(\lambda ) \] instead of the usual equality \[ A\left( {e^{ - i ...
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Rank-Adaptive Non-Negative Matrix Factorization
Cognitive Computation, 2018Dimension reduction is a challenge task in data processing, especially in high-dimensional data processing area. Non-negative matrix factorization (NMF), as a classical dimension reduction method, has a contribution to the parts-based representation for the characteristics of non-negative constraints in the NMF algorithm.
Tianming Liang +3 more
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Convex Non-negative Matrix Factorization in the Wild
2009 Ninth IEEE International Conference on Data Mining, 2009Non-negative matrix factorization (NMF) has recently received a lot of attention in data mining, information retrieval, and computer vision. It factorizes a non-negative input matrix V into two non-negative matrix factors V = WH such that W describes "clusters" of the datasets.
Christian Bauckhage +2 more
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Non-negative Matrix Factorization for Face Recognition
2002The computer vision problem of face classification under several ambient and unfavorable conditions is considered in this study. Changes in expression, different lighting conditions and occlusions are the relevant factors that are studied in this present contribution.
David Guillamet, Jordi Vitrià
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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