On connection between the convolutive and ordinary nonnegative matrix factorizations

Anh Huy Phan, Andrzej Cichocki, Petr Tichavský, Zbyněk Koldovský

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationLatent Variable Analysis and Signal Separation - 10th International Conference, LVA/ICA 2012, Proceedings
Pages288-296
Number of pages9
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event10th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2012 - Tel Aviv, Israel
Duration: 12 Mar 201215 Mar 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7191 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2012
Country/TerritoryIsrael
CityTel Aviv
Period12/03/1215/03/12

Keywords

  • ALS
  • convolutive nonnegative matrix factorization
  • music analysis
  • nonnegative matrix factorization
  • nonnegative quadratic programming

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