Paper Abstract and Keywords |
Presentation |
2020-12-17 11:00
Fast algorithm for low-rank tensor completion in multi-way delay embedded space Ryuki Yamamoto, Tatsuya Yokota (Nagoya Institute of Tech.), Akira Imakura (Univ. of Tsukuba), Hidekata Hontani (Nagoya Institute of Tech.) PRMU2020-42 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In recent years, low-rank tensor completion using delay embedding has been an important technique. In order to capture shift invariant features of signals, this technique performs low-rank tensor decomposition for higher order tensor given by the delay embedding along each mode of the original missing tensor. However, because the number of orders of the tensor after delay embedding is twice and its number of elements increases exponentially, the computation time and memory requirement are serious problems. In this paper, we propose a dramatically fast algorithm exploiting Hankel structure that delay embedding tensor has and using computation in Fourier space. As a result, we experimented that the proposed method approximately 100x faster than the naive one. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
delay embedding / tensor completion / Hankel matrix / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 120, no. 300, PRMU2020-42, pp. 24-29, Dec. 2020. |
Paper # |
PRMU2020-42 |
Date of Issue |
2020-12-10 (PRMU) |
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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PRMU2020-42 |
Conference Information |
Committee |
PRMU |
Conference Date |
2020-12-17 - 2020-12-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Online |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Transfer learning and few shot learning |
Paper Information |
Registration To |
PRMU |
Conference Code |
2020-12-PRMU |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Fast algorithm for low-rank tensor completion in multi-way delay embedded space |
Sub Title (in English) |
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delay embedding |
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tensor completion |
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Hankel matrix |
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1st Author's Name |
Ryuki Yamamoto |
1st Author's Affiliation |
Nagoya Institute of Technology (Nagoya Institute of Tech.) |
2nd Author's Name |
Tatsuya Yokota |
2nd Author's Affiliation |
Nagoya Institute of Technology (Nagoya Institute of Tech.) |
3rd Author's Name |
Akira Imakura |
3rd Author's Affiliation |
University of Tsukuba (Univ. of Tsukuba) |
4th Author's Name |
Hidekata Hontani |
4th Author's Affiliation |
Nagoya Institute of Technology (Nagoya Institute of Tech.) |
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Speaker |
Author-1 |
Date Time |
2020-12-17 11:00:00 |
Presentation Time |
15 minutes |
Registration for |
PRMU |
Paper # |
PRMU2020-42 |
Volume (vol) |
vol.120 |
Number (no) |
no.300 |
Page |
pp.24-29 |
#Pages |
6 |
Date of Issue |
2020-12-10 (PRMU) |
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