PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Structured non-negative matrix factorization with sparsity patterns
Hans Laurberg, Mikkel N. Schmidt, Mads G. Christensen and Søren Holdt Jensen
In: Hans Laurberg, Mikkel N. Schmidt, Mads G. Christensen, and Søren H. Jensen Structured non-negative matrix factorization with sparsity patterns Signals, Systems and Computers, Asilomar Conference on, 2008(2008).

Abstract

In this paper, we propose a novel algorithm for monaural blind source separation based on non-negative matrix factorization (NMF). A shortcoming of most source separation methods is the need for training data for each individual source. The algorithm proposed in this paper is able separate sources even when there is no training data for the individual sources. The algorithm makes use of models trained on mixed signals and uses training data where more than one source is active at the time. This makes the algorithm applicable to situations where recordings of the individual sources are unavailable. The key idea is to construct a structure matrix that indicates where each source is active, and we prove that this structure matrix, combined with a uniqueness assumption, is sufficient to ensure that results are equivalent to training on isolated sources. Our theoretical findings is backed up by simulations on music data that show that the proposed algorithm trained on mixed recordings performs as well as existing NMF source separation methods trained on solo recordings.

EPrint Type:Conference or Workshop Item (Paper)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:6520
Deposited By:Mikkel Schmidt
Deposited On:08 March 2010