Paper Abstract and Keywords |
Presentation |
2011-06-20 10:35
On the Convergence of Convex Tensor Estimation Ryota Tomioka, Taiji Suzuki (Univ. Tokyo), Kohei Hayashi (NAIST), Hisashi Kashima (Univ. Tokyo) IBISML2011-14 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
凸最適化に基づくテンソル分解アルゴリズムの統計的な性能について解析し,報
告する.従来テンソル分解は非凸の最適化問題として定式化され,そのため性
能の解析は困難であった.本論文では,ある条件のもとで,推定されたテンソ
ルを$\hat{\tW}$,真のテンソルを$\tW^{\ast}$として汎化誤差
$\norm{\hat{\tW}-\tW^{\ast}}_F$が真のテンソルのランクの平方根の平均
$\frac{1}{K}\sum_{k=1}^{K}\sqrt{r_k}$(ただし$r_k$は真のテンソルのモード$k$ラ
ンク)に比例することを示す.また,本論文の解析は既に知られている行列分解の解
析の自然な拡張になっていることを示す.さらに数値実験を用いて上記の解析
が実際のスケーリングをよく説明することを示す. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
/ / / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 111, no. 87, IBISML2011-14, pp. 97-102, June 2011. |
Paper # |
IBISML2011-14 |
Date of Issue |
2011-06-13 (IBISML) |
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) |
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IBISML2011-14 |
Conference Information |
Committee |
IBISML |
Conference Date |
2011-06-20 - 2011-06-21 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Takeda Hall |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Machine learning and its applications |
Paper Information |
Registration To |
IBISML |
Conference Code |
2011-06-IBISML |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
On the Convergence of Convex Tensor Estimation |
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1st Author's Name |
Ryota Tomioka |
1st Author's Affiliation |
The University of Tokyo (Univ. Tokyo) |
2nd Author's Name |
Taiji Suzuki |
2nd Author's Affiliation |
The University of Tokyo (Univ. Tokyo) |
3rd Author's Name |
Kohei Hayashi |
3rd Author's Affiliation |
Nara Institute of Science and Technology (NAIST) |
4th Author's Name |
Hisashi Kashima |
4th Author's Affiliation |
The University of Tokyo (Univ. Tokyo) |
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Speaker |
Author-1 |
Date Time |
2011-06-20 10:35:00 |
Presentation Time |
30 minutes |
Registration for |
IBISML |
Paper # |
IBISML2011-14 |
Volume (vol) |
vol.111 |
Number (no) |
no.87 |
Page |
pp.97-102 |
#Pages |
6 |
Date of Issue |
2011-06-13 (IBISML) |