On connection between the convolutive and ordinary nonnegative matrix factorizations

Authors:
Anh Huy Phan;Andrzej Cichocki;Petr Tichavský;Zbyněk Koldovský
Affiliations:
Lab for Advanced Brain Signal Processing, Brain Science Institute - RIKEN, Japan;Lab for Advanced Brain Signal Processing, Brain Science Institute - RIKEN, Japan;Institute of Information Theory and Automation, Prague, Czech Republic;Faculty of Mechatronics, Informatics and Interdisciplinary Studies, Technical University of Liberec, Liberec, Czech Republic
Venue:
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
Year:
2012

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Abstract

A connection between the convolutive nonnegative matrix factorization (NMF) and the conventional NMF has been established. As a result, we can convey arbitrary alternating update rules for NMF to update rules for CNMF. In order to illustrate the novel derivation method, a multiplicative algorithm and a new ALS algorithm for CNMF are derived. The experiments confirm validity and high performance of our method and of the proposed algorithm.