Paper Abstract and Keywords |
Presentation |
2013-11-13 15:45
[Poster Presentation]
Floor-plan partitioning stochastic processes for relational data analysis Masahiro Nakano, Katsuhiko Ishiguro, Akisato Kimura, Takeshi Yamada, Naonori Ueda (NTT) IBISML2013-62 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
This paper presents a floor-plan partitioning stochastic process, that can potentially generate arbitrary rectangular partitionings for a matrix with any finite size. Rectangular partitioning is used in relational data analysis, and is classified in three types: regular grid, hierarchical, and arbitrary. Conventionally, there have been a
variety of probabilistic models of hierarchical or regular grid partitioning, including the Mondrian process or the product of Chinese restaurant processes. However, arbitrary partitioning has been little studied, except for Gilbert tessellations with axis-parallel cracks, that are too complicated to analyze statistical behaviors of the models. Motivated by this, we propose a new construction based on the infinite extension via a projective system. We first show a naive construction based on Kolmogorov's extension theorem, that leads to undesirable properties. Then we present a more sophisticated construction based on Orbanz's extension theorem, that uses the infinite extension of conditional probabilities via a suitable projective system. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Projective limit / Mondrian process / Bayesian nonparametrics / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 286, IBISML2013-62, pp. 197-204, Nov. 2013. |
Paper # |
IBISML2013-62 |
Date of Issue |
2013-11-05 (IBISML) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
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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IBISML2013-62 |
Conference Information |
Committee |
IBISML |
Conference Date |
2013-11-10 - 2013-11-13 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tokyo Institute of Technology, Kuramae-Kaikan |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
The 16th IBIS Workshop & The 2nd IBIS Tutorial |
Paper Information |
Registration To |
IBISML |
Conference Code |
2013-11-IBISML |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Floor-plan partitioning stochastic processes for relational data analysis |
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Keyword(1) |
Projective limit |
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Mondrian process |
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Bayesian nonparametrics |
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1st Author's Name |
Masahiro Nakano |
1st Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
2nd Author's Name |
Katsuhiko Ishiguro |
2nd Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
3rd Author's Name |
Akisato Kimura |
3rd Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
4th Author's Name |
Takeshi Yamada |
4th Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
5th Author's Name |
Naonori Ueda |
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Nippon Telegraph and Telephone Corporation (NTT) |
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Speaker |
Author-1 |
Date Time |
2013-11-13 15:45:00 |
Presentation Time |
180 minutes |
Registration for |
IBISML |
Paper # |
IBISML2013-62 |
Volume (vol) |
vol.113 |
Number (no) |
no.286 |
Page |
pp.197-204 |
#Pages |
8 |
Date of Issue |
2013-11-05 (IBISML) |
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