Previous studies have reported numerous signatures, using matrix factorization methods for mutation catalogs.
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Even more importantly, mathematicians are constantly developing new algorithms that allow for easier factorization.
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These results are not compatible with the predictions based on the generalized factorization approach.
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We extend the orbital-specific-virtual tensor factorization, introduced for local Møller-Plesset perturbation theory in Ref.
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Our results are compared with previous measurements and with predictions based on Regge theory and factorization.
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Our method is fast and efficient, mimicking the multiplicative update rules commonly employed in algorithms for non-negative matrix factorization.
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The current paper 'introduces' a new method of array factorization that substantially accelerates linkage calculations with large numbers of markers.
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Nonnegative matrix factorization (NMF) clustering of DNA copy number aberrations revealed three distinct molecular classes in this data set.
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In this opinion article, we analyze the modest literature on applying tensor factorization to various biomedical fields including genotyping and phenotyping.
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Dietary pesticide exposure profiles were identified using Non-Negative Matrix factorization (NMF), especially adapted for non-negative data with excess zeros.
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Using nonnegative matrix factorization, we measured the contribution of each signature to carcinogenesis, and used hierarchical clustering to subtype each cohort.
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This result is comparable in magnitude to corresponding ratios for W and dijet production but significantly lower than expectations based on factorization.
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Among them, blind non-negative matrix factorization is gaining interest since it requires little assumptions about the spectra and concentration of the fluorochromes.
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We performed class discovery using non-negative matrix factorization, and functional annotation using gene-set enrichment analyses, nearest template prediction, ingenuity pathway analyses, and immunohistochemistry.
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To overcome this problem, we propose to make use of a modified Cholesky decomposition based on the indefinite factorization of local two-center Coulomb matrices.
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Moreover, we show that these low dimensional representations favorably compare to descriptions obtained with more commonly used matrix factorization methods like PCA and ICA.