Paper Abstract and Keywords |
Presentation |
2023-08-04 10:20
Hölder's Reverse Inequality and Its Application to Computation of Lapidoth--Pfister Mutual Information Akira Kamatsuka (SIT), Koki Kazama (Waseda Univ.) IT2023-23 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The H"{o}lder's inequality, a fundamental theoretical inequality, is employed to examine the characteristics of the reliability function in channel coding problem,
and serves as the basis for well-known inequalities such as those of Cauchy-Schwarz and Minkowski.
In this study, we introduce the H"{o}lder's reverse inequality and utilize it to provide alternative proofs of characterization for the Arimoto mutual information and Sibson mutual information,
which are variants of the Shannon mutual information.
Additionally, we leverage this reverse inequality to derive an iterative optimization algorithm for the Lapidoth-Pfister mutual information,
which is another variant of the Shannon mutual information. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
H"{o}lder's inequality / Sibson mutual information / Arimoto mutual information / Lapidoth-Pfister mutual information / alternating optimization / / / |
Reference Info. |
IEICE Tech. Rep., vol. 123, no. 149, IT2023-23, pp. 50-55, Aug. 2023. |
Paper # |
IT2023-23 |
Date of Issue |
2023-07-27 (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) |
Download PDF |
IT2023-23 |
Conference Information |
Committee |
IT |
Conference Date |
2023-08-03 - 2023-08-04 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Shonan Institute of Technology |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Freshman session, General |
Paper Information |
Registration To |
IT |
Conference Code |
2023-08-IT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Hölder's Reverse Inequality and Its Application to Computation of Lapidoth--Pfister Mutual Information |
Sub Title (in English) |
|
Keyword(1) |
H"{o}lder's inequality |
Keyword(2) |
Sibson mutual information |
Keyword(3) |
Arimoto mutual information |
Keyword(4) |
Lapidoth-Pfister mutual information |
Keyword(5) |
alternating optimization |
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Akira Kamatsuka |
1st Author's Affiliation |
Shonan Institute of Technology (SIT) |
2nd Author's Name |
Koki Kazama |
2nd Author's Affiliation |
Waseda University (Waseda 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 |
() |
Speaker |
Author-1 |
Date Time |
2023-08-04 10:20:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2023-23 |
Volume (vol) |
vol.123 |
Number (no) |
no.149 |
Page |
pp.50-55 |
#Pages |
6 |
Date of Issue |
2023-07-27 (IT) |
|