Pattern Expression Nonnegative Matrix Factorization : Algorithm and Applications to Blind Source Separation
Joint Authors
Zhang, Junying
Feng, Xuerong
Ma, Zhen
Wei, Le
Wang, Yue Joseph
Source
Computational Intelligence and Neuroscience
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-06-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Independent component analysis (ICA) is a widely applicable and effective approach in blind source separation (BSS), with limitations that sources are statistically independent.
However, more common situation is blind source separation for nonnegative linear model (NNLM) where the observations are nonnegative linear combinations of nonnegative sources, and the sources may be statistically dependent.
We propose a pattern expression nonnegative matrix factorization (PE-NMF) approach from the view point of using basis vectors most effectively to express patterns.
Two regularization or penalty terms are introduced to be added to the original loss function of a standard nonnegative matrix factorization (NMF) for effective expression of patterns with basis vectors in the PE-NMF.
Learning algorithm is presented, and the convergence of the algorithm is proved theoretically.
Three illustrative examples on blind source separation including heterogeneity correction for gene microarray data indicate that the sources can be successfully recovered with the proposed PE-NMF when the two parameters can be suitably chosen from prior knowledge of the problem.
American Psychological Association (APA)
Zhang, Junying& Wei, Le& Feng, Xuerong& Ma, Zhen& Wang, Yue Joseph. 2008. Pattern Expression Nonnegative Matrix Factorization : Algorithm and Applications to Blind Source Separation. Computational Intelligence and Neuroscience،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-451355
Modern Language Association (MLA)
Zhang, Junying…[et al.]. Pattern Expression Nonnegative Matrix Factorization : Algorithm and Applications to Blind Source Separation. Computational Intelligence and Neuroscience No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-451355
American Medical Association (AMA)
Zhang, Junying& Wei, Le& Feng, Xuerong& Ma, Zhen& Wang, Yue Joseph. Pattern Expression Nonnegative Matrix Factorization : Algorithm and Applications to Blind Source Separation. Computational Intelligence and Neuroscience. 2008. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-451355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451355