| Paper Abstract and Keywords |
| Presentation |
2022-06-28 16:15
An Extension of LiNGAM to Functional Data Analysis Tianle Yang, Joe Suzuki (Osaka Univ.) NC2022-22 IBISML2022-22 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We often use the Linear Non-Gaussian Acyclic Model (LiNGAM) to find random variables' causal order. In the LiNGAM, we can only identify the order if one of them is non-Gaussian. This paper extends the notion from variables to functions (Functional Linear Non-Gaussian Acyclic Model, Func-LiNGAM). First, we prove that we can identify the order among random functions if and only if one of them is a non-Gaussian process. To this end, we extend the Darmois-Skitovich theorem for dealing with random functions and apply the notion of functional principal component analysis that makes us estimate the order of random functions. The experiments contain order identification simulation among multiple functions for given samples. In particular, we apply to the problem of finding brain connections by fMRI. We can see the improvements in execution speed compared to existing methods. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Functional data / Stochastic Process / Darmois-Skitovich theorem / LiNGAM / Random element / Hilbert space / / |
| Reference Info. |
IEICE Tech. Rep., vol. 122, no. 90, IBISML2022-22, pp. 156-163, June 2022. |
| Paper # |
IBISML2022-22 |
| Date of Issue |
2022-06-20 (NC, 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) |
| Download PDF |
NC2022-22 IBISML2022-22 |
| Conference Information |
| Committee |
NC IBISML IPSJ-BIO IPSJ-MPS |
| Conference Date |
2022-06-27 - 2022-06-29 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
|
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
|
| Paper Information |
| Registration To |
IBISML |
| Conference Code |
2022-06-NC-IBISML-BIO-MPS |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
An Extension of LiNGAM to Functional Data Analysis |
| Sub Title (in English) |
|
| Keyword(1) |
Functional data |
| Keyword(2) |
Stochastic Process |
| Keyword(3) |
Darmois-Skitovich theorem |
| Keyword(4) |
LiNGAM |
| Keyword(5) |
Random element |
| Keyword(6) |
Hilbert space |
| Keyword(7) |
|
| Keyword(8) |
|
| 1st Author's Name |
Tianle Yang |
| 1st Author's Affiliation |
Osaka University (Osaka Univ.) |
| 2nd Author's Name |
Joe Suzuki |
| 2nd Author's Affiliation |
Osaka University (Osaka Univ.) |
| 3rd Author's Name |
|
| 3rd Author's Affiliation |
() |
| 4th Author's Name |
|
| 4th Author's Affiliation |
() |
| 5th Author's Name |
|
| 5th Author's Affiliation |
() |
| 6th Author's Name |
|
| 6th Author's Affiliation |
() |
| 7th Author's Name |
|
| 7th Author's Affiliation |
() |
| 8th Author's Name |
|
| 8th Author's Affiliation |
() |
| 9th Author's Name |
|
| 9th Author's Affiliation |
() |
| 10th Author's Name |
|
| 10th Author's Affiliation |
() |
| 11th Author's Name |
|
| 11th Author's Affiliation |
() |
| 12th Author's Name |
|
| 12th Author's Affiliation |
() |
| 13th Author's Name |
|
| 13th Author's Affiliation |
() |
| 14th Author's Name |
|
| 14th Author's Affiliation |
() |
| 15th Author's Name |
|
| 15th Author's Affiliation |
() |
| 16th Author's Name |
|
| 16th Author's Affiliation |
() |
| 17th Author's Name |
|
| 17th Author's Affiliation |
() |
| 18th Author's Name |
|
| 18th Author's Affiliation |
() |
| 19th Author's Name |
|
| 19th Author's Affiliation |
() |
| 20th Author's Name |
|
| 20th Author's Affiliation |
() |
| 21st Author's Name |
|
| 21st Author's Affiliation |
() |
| 22nd Author's Name |
|
| 22nd Author's Affiliation |
() |
| 23rd Author's Name |
|
| 23rd Author's Affiliation |
() |
| 24th Author's Name |
|
| 24th Author's Affiliation |
() |
| 25th Author's Name |
|
| 25th Author's Affiliation |
() |
| 26th Author's Name |
/ / |
| 26th Author's Affiliation |
()
() |
| 27th Author's Name |
/ / |
| 27th Author's Affiliation |
()
() |
| 28th Author's Name |
/ / |
| 28th Author's Affiliation |
()
() |
| 29th Author's Name |
/ / |
| 29th Author's Affiliation |
()
() |
| 30th Author's Name |
/ / |
| 30th Author's Affiliation |
()
() |
| 31st Author's Name |
/ / |
| 31st Author's Affiliation |
()
() |
| 32nd Author's Name |
/ / |
| 32nd Author's Affiliation |
()
() |
| 33rd Author's Name |
/ / |
| 33rd Author's Affiliation |
()
() |
| 34th Author's Name |
/ / |
| 34th Author's Affiliation |
()
() |
| 35th Author's Name |
/ / |
| 35th Author's Affiliation |
()
() |
| 36th Author's Name |
/ / |
| 36th Author's Affiliation |
()
() |
| Speaker |
Author-1 |
| Date Time |
2022-06-28 16:15:00 |
| Presentation Time |
25 minutes |
| Registration for |
IBISML |
| Paper # |
NC2022-22, IBISML2022-22 |
| Volume (vol) |
vol.122 |
| Number (no) |
no.89(NC), no.90(IBISML) |
| Page |
pp.156-163 |
| #Pages |
8 |
| Date of Issue |
2022-06-20 (NC, IBISML) |