Paper Abstract and Keywords |
Presentation |
2020-03-05 13:00
Bayesian learning curve for the case when the optimal distribution is not unique Shuya Nagayasu, Sumio Watanabe (Tokyo Tech) NC2019-94 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Bayesian inference is a widely used statistical method. Asymptotic behaviors of generalization loss and free energy in Bayesian inference are revealed in singular models that do not have unique optimal parameter which makes generalization loss minimum with the method using algebric geometry, but it has not been revealed when there are multiple optimal probability distributions. In the present paper, we derive asymptotic behavior of generalization loss and free energy in case optimal probability distribution is not unique, and show that it is different from the learning curve of conventional learning theory. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
statistical estimation / Bayesian inference / generalization loss / free energy / singular model / / / |
Reference Info. |
IEICE Tech. Rep., vol. 119, no. 453, NC2019-94, pp. 107-112, March 2020. |
Paper # |
NC2019-94 |
Date of Issue |
2020-02-26 (NC) |
ISSN |
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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NC2019-94 |
Conference Information |
Committee |
NC MBE |
Conference Date |
2020-03-04 - 2020-03-06 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
University of Electro Communications |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Neuro Computing, Medical Engineering, etc. |
Paper Information |
Registration To |
NC |
Conference Code |
2020-03-NC-MBE |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Bayesian learning curve for the case when the optimal distribution is not unique |
Sub Title (in English) |
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statistical estimation |
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Bayesian inference |
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generalization loss |
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free energy |
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singular model |
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1st Author's Name |
Shuya Nagayasu |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech) |
2nd Author's Name |
Sumio Watanabe |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech) |
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Speaker |
Author-1 |
Date Time |
2020-03-05 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
NC |
Paper # |
NC2019-94 |
Volume (vol) |
vol.119 |
Number (no) |
no.453 |
Page |
pp.107-112 |
#Pages |
6 |
Date of Issue |
2020-02-26 (NC) |
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