Paper Abstract and Keywords |
Presentation |
2021-07-08 16:40
[Invited Talk]
RIP matrices breaking the square-root bottleneck and related combinatorics Shohei Satake (Kumamoto Univ.) IT2021-22 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Compressed sensing theory has various applications to information theory and signal processing.
As one of challenging problems, deterministic constructions of matrices with the restricted isometry property (RIP) have been extensively studied.
In most of known construction of RIP matrices, their certified RIP face the barrier called the square-root bottleneck, and thus it has been desired to beat this barrier.
At present, there are only few known constructions of RIP matrices breaking the square-root bottleneck, and even in these matrices, their RIP exceeds the bottleneck very slightly.
On the other hand, some known works and our recent study found relationships between constructions of RIP matrices breaking the square-root bottleneck and several topics in combinatorics such as Ramsey theory and pseudo-randomness.
In this article, we briefly review these backgrounds and then introduce a (conditional) construction of RIP matrices breaking the square-root bottleneck due to Bandeira, Mixon and Moreira (2017) and the present author.
We also explain some relationships to the combinatorial topics mentioned above. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Pseudo-randomness / Ramsey graph/tournament / restricted isometry property / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 121, no. 96, IT2021-22, pp. 40-44, July 2021. |
Paper # |
IT2021-22 |
Date of Issue |
2021-07-01 (IT) |
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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IT2021-22 |
Conference Information |
Committee |
IT |
Conference Date |
2021-07-08 - 2021-07-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Online |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Freshman session, General |
Paper Information |
Registration To |
IT |
Conference Code |
2021-07-IT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
RIP matrices breaking the square-root bottleneck and related combinatorics |
Sub Title (in English) |
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Pseudo-randomness |
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Ramsey graph/tournament |
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restricted isometry property |
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1st Author's Name |
Shohei Satake |
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Kumamoto University (Kumamoto Univ.) |
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Speaker |
Author-1 |
Date Time |
2021-07-08 16:40:00 |
Presentation Time |
50 minutes |
Registration for |
IT |
Paper # |
IT2021-22 |
Volume (vol) |
vol.121 |
Number (no) |
no.96 |
Page |
pp.40-44 |
#Pages |
5 |
Date of Issue |
2021-07-01 (IT) |
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