Paper Abstract and Keywords |
Presentation |
2020-12-03 11:00
On certain deterministic sensing matrices and the Erdo"s-Falconer distance problem in finite fields Shohei Satake (Kumamoto Univ.) IT2020-49 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
One of challenging problems in compressed sensing is to construct deterministic matrices with restricted isometry property (RIP), which has been extensively studied not only in information theory but also number theory and combinatorics. Here the coherence of a matrix plays an important role to certify its RIP with high sparsity level.
In this talk, we first give a new deterministic construction of matrices with asymptotically optimal coherence, which generalizes a construction by Li and Ge (2014, IEEE Trans. Inf. Theory). Moreover we show that estimating its coherence provides a solution to the Erdo"s-Falconer distance problem in additive combinatorics. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Coherence / deterministic sensing matrix / Erdo"s-Falconer distance problem / restricted isometry property / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 120, no. 268, IT2020-49, pp. 140-143, Dec. 2020. |
Paper # |
IT2020-49 |
Date of Issue |
2020-11-24 (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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IT2020-49 |
Conference Information |
Committee |
IT |
Conference Date |
2020-12-01 - 2020-12-03 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Online |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Lectures for Young Researchers, General |
Paper Information |
Registration To |
IT |
Conference Code |
2020-12-IT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
On certain deterministic sensing matrices and the Erdo"s-Falconer distance problem in finite fields |
Sub Title (in English) |
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Coherence |
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deterministic sensing matrix |
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Erdo"s-Falconer distance problem |
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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 |
2020-12-03 11:00:00 |
Presentation Time |
20 minutes |
Registration for |
IT |
Paper # |
IT2020-49 |
Volume (vol) |
vol.120 |
Number (no) |
no.268 |
Page |
pp.140-143 |
#Pages |
4 |
Date of Issue |
2020-11-24 (IT) |
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