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Randomized Nonnegative Matrix Factorization [PDF]
Nonnegative matrix factorization (NMF) is a powerful tool for data mining. However, the emergence of `big data' has severely challenged our ability to compute this fundamental decomposition using deterministic algorithms. This paper presents a randomized
Erichson, N. Benjamin+3 more
core +3 more sources
Sparse Deep Nonnegative Matrix Factorization [PDF]
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 +4 more sources
Generalized Separable Nonnegative Matrix Factorization [PDF]
Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing.
Gillis, Nicolas, Pan, Junjun
core +4 more sources
Descent methods for Nonnegative Matrix Factorization [PDF]
In this paper, we present several descent methods that can be applied to nonnegative matrix factorization and we analyze a recently developped fast block coordinate method called Rank-one Residue Iteration (RRI).
Blondel, Vincent D.+2 more
core +6 more sources
On the complexity of nonnegative matrix factorization [PDF]
Version 2 corrects small typos; adds ref to Cohen & Rothblum; adds ref to Gillis; clarifies reduction of NMF to int ...
Stephen A. Vavasis
openalex +5 more sources
The numerical range of a nonnegative matrix [PDF]
AbstractWe offer an almost self-contained development of Perron–Frobenius type results for the numerical range of an (irreducible) nonnegative matrix, rederiving and completing the previous work of Issos, Nylen and Tam, and Tam and Yang on this topic.
Chi-Kwong Li, Bit-Shun Tam, Pei Yuan Wu
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The diagonal equivalence of a nonnegative matrix to a stochastic matrix
Richard A. Brualdi+2 more
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Symmetric nonnegative matrix trifactorization
The Symmetric Nonnegative Matrix Trifactorization (SN-Trifactorization) is a factorization of an $n \times n$ nonnegative symmetric matrix $A$ of the form $BCB^T$, where $C$ is a $k \times k$ symmetric matrix, and both $B$ and $C$ are required to be nonnegative.
Damjana Kokol Bukovšek, Helena Šmigoc
openaire +2 more sources
Nonnegative low rank matrix approximation for nonnegative matrices [PDF]
25 pages 13 ...
Guang-Jing Song, Michael K. Ng
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On a Guided Nonnegative Matrix Factorization [PDF]
Fully unsupervised topic models have found fantastic success in document clustering and classification. However, these models often suffer from the tendency to learn less-than-meaningful or even redundant topics when the data is biased towards a set of features.
Elizaveta Rebrova+3 more
openaire +3 more sources