Paper Abstract and Keywords |
Presentation |
2020-01-09 13:00
Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures Takumi Watanabe, Sumio Watanabe (Tokyo Tech) IBISML2019-18 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Multinomial mixtures are widely used in the information engineering field. However, it is not subject to the conventional statistical theory of regular statistical models, because the models are not identifiable and their Fisher information matrices are is not positive definite. In the recent years, the generalization performance of singular learning machines was clarified based on resolution of singularities. In this report, we compute Real Log Canonical Thresholds in an algebraic geometric way and clarify asymptotic behaviors of generalization error and free energy. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
generalization error / free energy / multinomial mixtures / real log canonical thresholds / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 119, no. 360, IBISML2019-18, pp. 1-8, Jan. 2020. |
Paper # |
IBISML2019-18 |
Date of Issue |
2020-01-02 (IBISML) |
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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IBISML2019-18 |
Conference Information |
Committee |
IBISML |
Conference Date |
2020-01-09 - 2020-01-10 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
ISM |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Machine learning, etc. |
Paper Information |
Registration To |
IBISML |
Conference Code |
2020-01-IBISML |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures |
Sub Title (in English) |
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Keyword(1) |
generalization error |
Keyword(2) |
free energy |
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multinomial mixtures |
Keyword(4) |
real log canonical thresholds |
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1st Author's Name |
Takumi Watanabe |
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 |
2020-01-09 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
IBISML |
Paper # |
IBISML2019-18 |
Volume (vol) |
vol.119 |
Number (no) |
no.360 |
Page |
pp.1-8 |
#Pages |
8 |
Date of Issue |
2020-01-02 (IBISML) |
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