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Transductive Nonnegative Matrix Tri-Factorization [PDF]

open access: goldIEEE Access, 2020
Nonnegative matrix factorization (NMF) decomposes a nonnegative matrix into the product of two lower-rank nonnegative matrices. Since NMF learns parts-based representation, it has been widely used as a feature learning component in many fields.
Xiao Teng   +4 more
doaj   +2 more sources

Sparse Deep Nonnegative Matrix Factorization [PDF]

open access: yesBig Data Mining and Analytics, 2020
Nonnegative Matrix Factorization (NMF) is a powerful technique to perform dimension reduction and pattern recognition through single-layer data representation learning. However, deep learning networks, with their carefully designed hierarchical structure,
Zhenxing Guo, Shihua Zhang
doaj   +3 more sources

Discriminative Multiview Nonnegative Matrix Factorization for Classification [PDF]

open access: goldIEEE Access, 2019
Multiview nonnegative matrix has shown many promising applications in computer vision and pattern recognition. However, most existing works focus on view consistency and ignore discrimination.
Weihua Ou   +4 more
doaj   +2 more sources

Monotonicity of the number of positive entries in nonnegative matrix powers [PDF]

open access: yesJournal of Inequalities and Applications, 2018
Let A be a nonnegative matrix of order n and f(A) $f(A)$ denote the number of positive entries in A. We prove that if f(A)≤3 $f(A)\leq3$ or f(A)≥n2−2n+2 $f(A)\geq n^{2}-2n+2$, then the sequence {f(Ak)}k=1∞ $\{f(A^{k})\}_{k=1}^{\infty}$ is monotonic for ...
Qimiao Xie
doaj   +2 more sources

Image Clustering Algorithm Based on Hypergraph Regularized Nonnegative Tucker Decomposition [PDF]

open access: yesJisuanji gongcheng, 2022
The internal geometry structure of high-dimensional data is ignored when nonnegative tensor decomposition is applied to image clustering.To solve this problem, we propose a Hypergraph regularized Nonnegative Tucker Decomposition(HGNTD) model by adding a ...
CHEN Luyao, LIU Qilong, XU Yunxia, CHEN Zhen
doaj   +1 more source

Coseparable Nonnegative Matrix Factorization

open access: yesSIAM Journal on Matrix Analysis and Applications, 2023
Nonnegative matrix factorization (NMF) is a popular model in the field of pattern recognition. It aims to find a low rank approximation for nonnegative data M by a product of two nonnegative matrices W and H. In general, NMF is NP-hard to solve while it can be solved efficiently under separability assumption, which requires the columns of factor matrix
Junjun Pan, Michael K. Ng
openaire   +3 more sources

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