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Paper Abstract and Keywords
Presentation 2015-09-14 13:30
Curved exponential family fitting in the space of normal distribution
Jun Fujiki, Masaru Tanaka (Fukuoka Univ.), Shotaro Akaho (AIST) PRMU2015-70 IBISML2015-30
Abstract (in Japanese) (See Japanese page) 
(in English) We consider the manifold fitting to a given set of points in the space
of probability distributions.
Although only the simplest cases of e-flat or m-flat subspace fitting has been
studied, nonlinear subspace has been difficult to be dealt with.
We present a nonlinear curve fitting problem based on the geometry of
$alpha$-connection. In particular, for one dimensional Gaussian case,
we propose a method of fitting a curve minimizing the sum of $alpha$-type
divergences, and we give
a local coordinate transformation that is $alpha$-flat.
Keyword (in Japanese) (See Japanese page) 
(in English) information geometry / flatness / dual connection / divergence / curve fitting / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 225, IBISML2015-30, pp. 19-24, Sept. 2015.
Paper # IBISML2015-30 
Date of Issue 2015-09-07 (PRMU, 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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF PRMU2015-70 IBISML2015-30

Conference Information
Conference Date 2015-09-14 - 2015-09-15 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IBISML 
Conference Code 2015-09-PRMU-IBISML-CVIM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Curved exponential family fitting in the space of normal distribution 
Sub Title (in English)  
Keyword(1) information geometry  
Keyword(2) flatness  
Keyword(3) dual connection  
Keyword(4) divergence  
Keyword(5) curve fitting  
1st Author's Name Jun Fujiki  
1st Author's Affiliation Fukuoka University (Fukuoka Univ.)
2nd Author's Name Masaru Tanaka  
2nd Author's Affiliation Fukuoka University (Fukuoka Univ.)
3rd Author's Name Shotaro Akaho  
3rd Author's Affiliation The National Institute of Advanced Industrial Science and Technology (AIST)
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Date Time 2015-09-14 13:30:00 
Presentation Time 30 
Registration for IBISML 
Paper # IEICE-PRMU2015-70,IEICE-IBISML2015-30 
Volume (vol) IEICE-115 
Number (no) no.224(PRMU), no.225(IBISML) 
Page pp.19-24 
#Pages IEICE-6 
Date of Issue IEICE-PRMU-2015-09-07,IEICE-IBISML-2015-09-07 

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