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Paper Abstract and Keywords
Presentation 2015-03-06 16:40
An Algorithm to Reduce Components of a Gaussian Mixture Model Considering Distribution Shape of Each Component
Naoya Yokoyama, Shuji Tsukiyama (Chuo Univ.), Masahiro Fukui (Ritsumeikan Univ.) CPSY2014-170 DC2014-96
Abstract (in Japanese) (See Japanese page) 
(in English) In statistical methods, such as statistical static timing analysis (S-STA) algorithm, summation and minimum or maximum operation for non-Gaussian distributions are repeated. Gaussian mixture model (GMM) is a useful tool for representing a non-Gaussian distribution generated by minimum or maximum operation for Gaussian distributions, and can treat correlation easily. However, in order to repeat operations for GMMs efficiently, the number of components must be restricted around two. Previous methods for S-STA used a GMM with two components (2-GMM), and a GMM with eight components (8-GMM) is generated by single operation of minimum or maximum for 2-GMMs. Hence, the previous methods approximate a generated 8-GMM by a 2-GMM, but in a certain cases, they cannot generate appropriate 2-GMMs. In this paper, we propose a new approximation method to reduce the number of components of GMM, which uses a distance between distribution shapes of components. Moreover, we show some results of performance evaluation, which demonstrate the effectiveness of the proposed method.
Keyword (in Japanese) (See Japanese page) 
(in English) Gaussian mixture model / reduction of components / distance between distributions / statistical method / statistical static timing analysis / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 506, CPSY2014-170, pp. 49-54, March 2015.
Paper # CPSY2014-170 
Date of Issue 2015-02-27 (CPSY, DC) 
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)
Download PDF CPSY2014-170 DC2014-96

Conference Information
Conference Date 2015-03-06 - 2015-03-07 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To CPSY 
Conference Code 2015-03-CPSY-EMB-SLDM-DC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Algorithm to Reduce Components of a Gaussian Mixture Model Considering Distribution Shape of Each Component 
Sub Title (in English)  
Keyword(1) Gaussian mixture model  
Keyword(2) reduction of components  
Keyword(3) distance between distributions  
Keyword(4) statistical method  
Keyword(5) statistical static timing analysis  
1st Author's Name Naoya Yokoyama  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Shuji Tsukiyama  
2nd Author's Affiliation Chuo University (Chuo Univ.)
3rd Author's Name Masahiro Fukui  
3rd Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
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Date Time 2015-03-06 16:40:00 
Presentation Time 25 
Registration for CPSY 
Paper # IEICE-CPSY2014-170,IEICE-DC2014-96 
Volume (vol) IEICE-114 
Number (no) no.506(CPSY), no.507(DC) 
Page pp.49-54 
#Pages IEICE-6 
Date of Issue IEICE-CPSY-2015-02-27,IEICE-DC-2015-02-27 

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