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| Presentation | 2012-01-26 15:15 The learning theory and algorithm of latent multi-dynamical systems -- Implementation by higher-order topographic mapping -- Tetsuo Furukawa, Takashi Ohkubo (Kyutech)  NC2011-107 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The purpose of this paper is to establish the learning theory of multiple dynamical systems, as well as to develop the algorithm. To achieve this, we have been studied with setting three agendas. The first agenda is to establish the theoretical definition of the task. The second agenda is to make clear what kind of algorithm is required to solve the task. And the third one is to develop such an algorithm. With respect to the first point, we have found a definion that the multi-dynamical system learning is the estimation task of a system space which consists of a group of dynamical systems with latent state variables. By applying this definition, the algorithm should have the ability of estimating a nonlinear product manifold from observed datasets. Thus the nonlinear tensor decomposition is required. Finally, we have developed an algorithm of the multi-dynamical system learning by making a product space generated by a set of self-organizing maps. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | latent dynamics / multi-system learning / product manifold / tensor / topographic mapping / self-organizing map / transfer learning / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 419, NC2011-107, pp. 59-64, Jan. 2012. | |
| Paper # | NC2011-107 | |
| Date of Issue | 2012-01-19 (NC) | |
| 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) | |
| Download PDF | NC2011-107 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2012-01-26 - 2012-01-27 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Future University Hakodate |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General, Complex Systems and Neurocomputing |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2012-01-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The learning theory and algorithm of latent multi-dynamical systems |
| Sub Title (in English) | Implementation by higher-order topographic mapping |
| Keyword(1) | latent dynamics |
| Keyword(2) | multi-system learning |
| Keyword(3) | product manifold |
| Keyword(4) | tensor |
| Keyword(5) | topographic mapping |
| Keyword(6) | self-organizing map |
| Keyword(7) | transfer learning |
| Keyword(8) | |
| 1st Author's Name | Tetsuo Furukawa |
| 1st Author's Affiliation | Kyushu Institute of Technology (Kyutech) |
| 2nd Author's Name | Takashi Ohkubo |
| 2nd Author's Affiliation | Kyushu Institute of Technology (Kyutech) |
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| Speaker | Author-1 |
| Date Time | 2012-01-26 15:15:00 |
| Presentation Time | 25 minutes |
| Registration for | NC |
| Paper # | NC2011-107 |
| Volume (vol) | vol.111 |
| Number (no) | no.419 |
| Page | pp.59-64 |
| #Pages | 6 |
| Date of Issue | 2012-01-19 (NC) |
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