2014 7th International Conference on Biomedical Engineering and Informatics 2014
DOI: 10.1109/bmei.2014.7002775
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Nonnegative matrix factorization: When data is not nonnegative

Abstract: In this paper, we present a new variations of the popular nonnegative matrix factorization (NMF) approach to extend it to the data with negative values. When a NMF problem is formulated as ≈ , we try to develop a new method that only allows to contain nonnegative values, but allows both and to have both nonnegative and negative values. In this way, the original NMF is extended to be used for real value data matrix instead restricted to only negative value data matrix. To this end, we develops novel method to f… Show more

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Cited by 3 publications
(2 citation statements)
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“…One alternative to PCA is non-negative matrix factorization, but classically this requires the data to also be non-negative, an assumption obviously unmet by neural field time series. However, formulations of nonnegative matrix factorization have been proposed which relax this constraint (Wu & Wang, 2014), and are a promising approach for future studies.…”
Section: Discussionmentioning
confidence: 99%
“…One alternative to PCA is non-negative matrix factorization, but classically this requires the data to also be non-negative, an assumption obviously unmet by neural field time series. However, formulations of nonnegative matrix factorization have been proposed which relax this constraint (Wu & Wang, 2014), and are a promising approach for future studies.…”
Section: Discussionmentioning
confidence: 99%
“…We optimize this overall objective function based on the multiplicative update algorithm (Zhang et al 2008;Wu and Wang 2014) to guarantee non-negativity. The algorithm requires the specifications of the penalty parameters, , , , and .…”
Section: Automated Single Cell Proteomics Data Annotation Modelmentioning
confidence: 99%