On Affine Non-Negative Matrix Factorization

We generalize the non-negative matrix factorization (NMF) generative model to incorporate an explicit offset. Multiplicative estimation algorithms are provided for the resulting sparse affine NMF model. We show that the affine model has improved uniqueness properties and leads to more accurate ident...

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Bibliographic Details
Main Authors: Laurberg, H., Hansen, L. K.
Format: Conference Proceeding
Language:English
Subjects:
Additive noise
BSS
Cost function
Councils
Data analysis
Informatics
Least squares approximation
Mathematical model
NMF
Non-negative matrix factorization
Signal processing
Sparse matrices
Sparse NMF
Statistics
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Description
Summary:We generalize the non-negative matrix factorization (NMF) generative model to incorporate an explicit offset. Multiplicative estimation algorithms are provided for the resulting sparse affine NMF model. We show that the affine model has improved uniqueness properties and leads to more accurate identification of mixing and sources.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2007.366320