2014
DOI: 10.1109/tcbb.2014.2328342
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Nonparametric Tikhonov Regularized NMF and Its Application in Cancer Clustering

Abstract: The Tikhonov regularized nonnegative matrix factorization (TNMF) is an NMF objective function that enforces smoothness on the computed solutions, and has been successfully applied to many problem domains including text mining, spectral data analysis, and cancer clustering. There is, however, an issue that is still insufficiently addressed in the development of TNMF algorithms, i.e., how to develop mechanisms that can learn the regularization parameters directly from the data sets. The common approach is to use… Show more

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Cited by 35 publications
(16 citation statements)
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“…Identification of molecular types associated with metabolic genes. Nonnegative matrix factorization (NMF) is an unsupervised clustering method widely used in identifying genomics-based tumor molecular subtypes (35,36). To further determine the association between expression levels of energy metabolism genes and phenotypes, the NMF method was used to cluster samples according to the expression profiles of energy metabolism-related genes associated with ovarian cancer prognosis, and standard 'brunet' for 50 iterations was selected by NMF.…”
Section: Methodsmentioning
confidence: 99%
“…Identification of molecular types associated with metabolic genes. Nonnegative matrix factorization (NMF) is an unsupervised clustering method widely used in identifying genomics-based tumor molecular subtypes (35,36). To further determine the association between expression levels of energy metabolism genes and phenotypes, the NMF method was used to cluster samples according to the expression profiles of energy metabolism-related genes associated with ovarian cancer prognosis, and standard 'brunet' for 50 iterations was selected by NMF.…”
Section: Methodsmentioning
confidence: 99%
“…An illustration of this application of PANAPOLY is provided using the 17 BEAUTY patients with chemoresistant TNBC. NMF clustering 25 was performed with the drug priority scores of these 17 cases. Based on the cophenetic and average silhouette scores, two clusters were selected to be optimal.…”
Section: Resultsmentioning
confidence: 99%
“…Non-negative matrix factorization (NMF) is an unsupervised clustering method, which is widely used in the discovery of tumor molecular subtypes based on genomics [23][24],The mutation characteristics in CRC were further observed, and the NMF method was used to cluster the samples based on SNV data to identify the mutation characteristics of the samples, in which the NMF method selected the standard "brunet" for 50 iterations. The clustering number k is set to 2 to 10, and the average contour width of the common member matrix is calculated using the R software package NMF [25].…”
Section: Analysis Of Mutation Characteristicsmentioning
confidence: 99%