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Paper Abstract and Keywords
Presentation 2015-11-27 14:00
[Poster Presentation] Stochastic process representation of R-tree
Masahiro Nakano, Xiaomeng Wu, Minoru Mori, Akisato Kimura, Kunio Kashino (NTT) IBISML2015-76
Abstract (in Japanese) (See Japanese page) 
(in English) This paper discusses a new stochastic process that represents the in nitely exchangeable rectangular partitioning of a matrix. Currently, as a multi-dimensional extension of the stick-breaking process (SBP) and the
Chinese restaurant process (CRP), the construction of infinitely exchangeable rectangular partitioning is an active
area of research. Especially, the recent rectangular tiling process (RTP)-based model can obtain the infinitely exchangeable arbitrary rectangular partitioning [Nakano et al., 2014] as a multi-dimensional extension of SBP in the sense of Aldous-Hoover exchangeable arrays [Aldous, 1981, Hoover, 1979]. This paper discusses another representation of the in nitely exchangeable arbitrary rectangular partitioning analogous to a multi-dimensional CRP. As a
machine learning application, we show Bayesian relational data analysis based on our stochastic process.
Keyword (in Japanese) (See Japanese page) 
(in English) R-tree / Projective limit / Bayesian nonparametorics / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 323, IBISML2015-76, pp. 175-182, Nov. 2015.
Paper # IBISML2015-76 
Date of Issue 2015-11-19 (IBISML) 
ISSN Print edition: ISSN 0913-5685    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 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) Stochastic process representation of R-tree 
Sub Title (in English)  
Keyword(1) R-tree  
Keyword(2) Projective limit  
Keyword(3) Bayesian nonparametorics  
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1st Author's Name Masahiro Nakano  
1st Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
2nd Author's Name Xiaomeng Wu  
2nd Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
3rd Author's Name Minoru Mori  
3rd Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
4th Author's Name Akisato Kimura  
4th Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
5th Author's Name Kunio Kashino  
5th Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
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Speaker Author-1 
Date Time 2015-11-27 14:00:00 
Presentation Time 180 minutes 
Registration for IBISML 
Paper # IBISML2015-76 
Volume (vol) vol.115 
Number (no) no.323 
Page pp.175-182 
#Pages
Date of Issue 2015-11-19 (IBISML) 


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