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| Presentation | 2008-10-23 10:15 Statistical Mechanical Approach for Computational Neuroscience -- With the use of the Primary Visual Area Model -- Ken Takiyama (Tokyo Univ.), Yasushi Naruse (NICT), Masato Okada (Tokyo Univ./RIKEN BSI)  NC2008-39 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this study, we propose a multi-hypercolumn model consisting of $K$ hypercolumns. Adjacent hypercolumns have inter-hypercolumn interaction with each other through horizontal connection. This model has both inter- and intra-hypercolumn interactions. These interactions are mexican hat type. It is known that a bump activity occurs corresponding to input orientation without inter hypercolumn interactions. The bump activities on the adjacent hypercolumns attract each other in the presence of inter-hypercolumn interactions. Here we analyze the model based on the statistical-mechanical method. In this model, we theoretically show that the free energy is equivalent to posterior distribution in the Bayesian framework in the case of extremely small inter-hypercolumn interaction. The numerical experiments support the equivalence between \textit{microscopic} network structure and \textit{macroscopic} computational theory. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Hypercolumn / Horizontal Connection / Mexican Hat / Statistical Mechanics / Bayesian Inference / Image Restoration / von-Mises Distribution / | |
| Reference Info. | IEICE Tech. Rep., vol. 108, no. 264, NC2008-39, pp. 19-24, Oct. 2008. | |
| Paper # | NC2008-39 | |
| Date of Issue | 2008-10-16 (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 | NC2008-39 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2008-10-23 - 2008-10-24 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tohoku Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2008-10-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical Mechanical Approach for Computational Neuroscience |
| Sub Title (in English) | With the use of the Primary Visual Area Model |
| Keyword(1) | Hypercolumn |
| Keyword(2) | Horizontal Connection |
| Keyword(3) | Mexican Hat |
| Keyword(4) | Statistical Mechanics |
| Keyword(5) | Bayesian Inference |
| Keyword(6) | Image Restoration |
| Keyword(7) | von-Mises Distribution |
| Keyword(8) | |
| 1st Author's Name | Ken Takiyama |
| 1st Author's Affiliation | Tokyo University (Tokyo Univ.) |
| 2nd Author's Name | Yasushi Naruse |
| 2nd Author's Affiliation | National Institute of Information and Communications Technology (NICT) |
| 3rd Author's Name | Masato Okada |
| 3rd Author's Affiliation | Tokyo Univ./RIKEN Brain Science Institute (Tokyo Univ./RIKEN BSI) |
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| Speaker | Author-1 |
| Date Time | 2008-10-23 10:15:00 |
| Presentation Time | 25 minutes |
| Registration for | NC |
| Paper # | NC2008-39 |
| Volume (vol) | vol.108 |
| Number (no) | no.264 |
| Page | pp.19-24 |
| #Pages | 6 |
| Date of Issue | 2008-10-16 (NC) |
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