On affine non-negative matrix factorization

Hans Laurberg; Lars Kai Hansen

On affine non-negative matrix factorization

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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.

Original language	English
Title of host publication	ICASSP 2007, Hawaii, USA
Publisher	IEEE
Publication date	2007
Publication status	Published - 2007
Event	2007 IEEE International Conference on Acoustics, Speech and Signal Processing - Honolulu, United States Duration: 15 Apr 2007 → 20 Apr 2007 Conference number: 32

Conference

Conference	2007 IEEE International Conference on Acoustics, Speech and Signal Processing
Number	32
Country/Territory	United States
City	Honolulu
Period	15/04/2007 → 20/04/2007

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@inproceedings{85ec4b9b236240518d622ce81a8c49c1,

title = "On affine non-negative matrix factorization",

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.",

author = "Hans Laurberg and Hansen, {Lars Kai}",

year = "2007",

language = "English",

booktitle = "ICASSP 2007, Hawaii, USA",

publisher = "IEEE",

address = "United States",

note = "2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2007 ; Conference date: 15-04-2007 Through 20-04-2007",

}

TY - GEN

T1 - On affine non-negative matrix factorization

AU - Laurberg, Hans

AU - Hansen, Lars Kai

N1 - Conference code: 32

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

M3 - Article in proceedings

BT - ICASSP 2007, Hawaii, USA

PB - IEEE

T2 - 2007 IEEE International Conference on Acoustics, Speech and Signal Processing

Y2 - 15 April 2007 through 20 April 2007

ER -

On affine non-negative matrix factorization

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