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Paper Abstract and Keywords
Presentation 2021-06-28 13:50
Simplification of Average Consensus Algorithm in Distributed HALS Algorithm for NMF
Keiju Hayashi, Tsuyoshi Migita, Norikazu Takahashi (Okayama Univ.) NC2021-3 IBISML2021-3
Abstract (in Japanese) (See Japanese page) 
(in English) Nonnegative Matrix Factorization (NMF) is the process of approximating a given nonnegative matrix by the product of two nonnegative matrices, and has been applied to a wide range of fields such as image processing, audio signal processing, data mining, and recommendation systems. Recently, a distributed computation method has been proposed for multiple computers in a network to execute the hierarchical alternating least squares algorithm, which is well known as a fast computation method for NMF. This method enables us to perform NMF on large matrices with high accuracy, even in the case where they cannot be handled by a single computer. However, the average consensus algorithm used in this method requires each computer to store the entire history of the values of its variables until the complete average consensus is reached, which increases the memory usage and computational cost. In this paper, we propose a new distributed computation method that replaces the average consensus algorithm with a simple one, and verify its effectiveness experimentally. In particular, we experimentally evaluate how incomplete average consensus affects the accuracy of NMF.
Keyword (in Japanese) (See Japanese page) 
(in English) nonnegative matrix factorization / hierarchical alternating least squares algorithm / distributed computation / average consensus / multi-agent system / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 80, IBISML2021-3, pp. 15-22, June 2021.
Paper # IBISML2021-3 
Date of Issue 2021-06-21 (NC, IBISML) 
ISSN Online edition: ISSN 2432-6380
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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 NC IBISML IPSJ-BIO IPSJ-MPS  
Conference Date 2021-06-28 - 2021-06-30 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IBISML 
Conference Code 2021-06-NC-IBISML-BIO-MPS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Simplification of Average Consensus Algorithm in Distributed HALS Algorithm for NMF 
Sub Title (in English)  
Keyword(1) nonnegative matrix factorization  
Keyword(2) hierarchical alternating least squares algorithm  
Keyword(3) distributed computation  
Keyword(4) average consensus  
Keyword(5) multi-agent system  
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1st Author's Name Keiju Hayashi  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Tsuyoshi Migita  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Norikazu Takahashi  
3rd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2021-06-28 13:50:00 
Presentation Time 25 minutes 
Registration for IBISML 
Paper # NC2021-3, IBISML2021-3 
Volume (vol) vol.121 
Number (no) no.79(NC), no.80(IBISML) 
Page pp.15-22 
#Pages
Date of Issue 2021-06-21 (NC, IBISML) 


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