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| Presentation | 2017-06-20 11:00 On Contributions of Principal Eigenfunctions of Covariance Operator of Kernel Feature Vectors to Relevant Information in Nonlinear Regression Masahiro Yukawa (Keio Univ.), Klaus-Robert Muller (TU BerlinTechnical U)  CAS2017-16 VLD2017-19 SIP2017-40 MSS2017-16 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We study, through simple non-asymptotic arguments, the contributions of eigenfunctions of the covariance operator of kernel feature vectors to the relevant information in nonlinear regression under the explicit centering. Although the contribution of an eigenfunction contains a term which decays as the same rate as the eigenvalues (as shown by Braun, Buhmann, and Muller in 2008), it also contains a constant term which comes from the centering operation. Our simple derivations lead to an exact analytic form of the contribution containing no truncation errors. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | nonlinear regression / kernel PCA / reproducing kernel Hilbert space / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 98, SIP2017-40, pp. 81-85, June 2017. | |
| Paper # | SIP2017-40 | |
| Date of Issue | 2017-06-12 (CAS, VLD, SIP, MSS) | |
| 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 | CAS2017-16 VLD2017-19 SIP2017-40 MSS2017-16 |
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| Conference Information | |
| Committee | SIP CAS MSS VLD |
| Conference Date | 2017-06-19 - 2017-06-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Niigata University, Ikarashi Campus |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2017-06-SIP-CAS-MSS-VLD |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Contributions of Principal Eigenfunctions of Covariance Operator of Kernel Feature Vectors to Relevant Information in Nonlinear Regression |
| Sub Title (in English) | |
| Keyword(1) | nonlinear regression |
| Keyword(2) | kernel PCA |
| Keyword(3) | reproducing kernel Hilbert space |
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| 1st Author's Name | Masahiro Yukawa |
| 1st Author's Affiliation | Keio University (Keio Univ.) |
| 2nd Author's Name | Klaus-Robert Muller |
| 2nd Author's Affiliation | Technical University of Berlin (TU BerlinTechnical U) |
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| Speaker | Author-1 |
| Date Time | 2017-06-20 11:00:00 |
| Presentation Time | 20 minutes |
| Registration for | SIP |
| Paper # | CAS2017-16, VLD2017-19, SIP2017-40, MSS2017-16 |
| Volume (vol) | vol.117 |
| Number (no) | no.96(CAS), no.97(VLD), no.98(SIP), no.99(MSS) |
| Page | pp.81-85 |
| #Pages | 5 |
| Date of Issue | 2017-06-12 (CAS, VLD, SIP, MSS) |
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