Title :
On Affine Non-Negative Matrix Factorization
Author :
Laurberg, H. ; Hansen, Lars Kai
Author_Institution :
Dept. of Electron. Syst., Aalborg Univ., Denmark
Abstract :
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.
Keywords :
matrix algebra; signal processing; affine nonnegative matrix factorization; multiplicative estimation algorithms; uniqueness properties; Additive noise; Cost function; Councils; Data analysis; Informatics; Least squares approximation; Mathematical model; Signal processing; Sparse matrices; Statistics; BSS; NMF; Non-negative matrix factorization; Sparse NMF;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0727-3
DOI :
10.1109/ICASSP.2007.366320