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Paper Abstract and Keywords
Presentation 2015-11-26 15:00
[Poster Presentation] Nonnegative Matrix Factorization and Positive Semidefinite Tensor Factorization based on Student's t Distributions for Music Signal Analysis
Kazuyoshi Yoshii, Katsutoshi Itoyama (Kyoto Univ.), Masataka Goto (AIST) IBISML2015-70
Abstract (in Japanese) (See Japanese page) 
(in English) This paper presents new probabilistic models of nonnegative matrix factorization (NMF) and positive semidefinite tensor factorization (PSDTF) for source separation of heavy-tailed audio signals. It is well known that NMF based on the Itakura-Saito divergence (IS-NMF) is capable of decomposing the power spectrum of a mixture signal into the weighted sum of source spectra. Real audio signals, however, tend to follow heavy-tailed probability distributions such as the Cauchy distribution. In this paper we propose NMF based on the complex t distribution (t-NMF) that includes IS-NMF and Cauchy NMF. In addition, we propose PSDTF based on the multivariate complex t distribution (t-PSDTF). The experimental results showed that t-NMF was less sensitive to initialization than IS-NMF and t-PSDTF significantly outperformed t-NMF in terms of source separation performance.
Keyword (in Japanese) (See Japanese page) 
(in English) music signal analysis / NMF / PSDTF / source separation / t distribution / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 323, IBISML2015-70, pp. 131-138, Nov. 2015.
Paper # IBISML2015-70 
Date of Issue 2015-11-19 (IBISML) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee IBISML  
Conference Date 2015-11-25 - 2015-11-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Epochal Tsukuba 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information-Based Induction Science Workshop (IBIS2015) 
Paper Information
Registration To IBISML 
Conference Code 2015-11-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Nonnegative Matrix Factorization and Positive Semidefinite Tensor Factorization based on Student's t Distributions for Music Signal Analysis 
Sub Title (in English)  
Keyword(1) music signal analysis  
Keyword(2) NMF  
Keyword(3) PSDTF  
Keyword(4) source separation  
Keyword(5) t distribution  
1st Author's Name Kazuyoshi Yoshii  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Katsutoshi Itoyama  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
3rd Author's Name Masataka Goto  
3rd Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
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Speaker Author-1 
Date Time 2015-11-26 15:00:00 
Presentation Time 180 minutes 
Registration for IBISML 
Paper # IBISML2015-70 
Volume (vol) vol.115 
Number (no) no.323 
Page pp.131-138 
Date of Issue 2015-11-19 (IBISML) 

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