Paper Abstract and Keywords |
Presentation |
2021-03-05 14:45
Analysis of Optimal Error Exponents on Classification for Markov Sources Hiroto Kuramata, Hideki Yagi, Tsutomu Kawabata (UEC) IT2020-152 ISEC2020-82 WBS2020-71 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We consider a classification problem for a test sequence to determine from which source the sequence generates. The system classifies the test sequence based on empirically observed (training) sequences obtained from unknown sources P1 and P2. Conventionally, the Neyman-Pearson test approach has been used to characterize the asymptotically largest error exponent for stationary and memoryless sources. However, such a characterization has not been known yet for Markov sources. In this paper, we show that the classifier which attains the asymptotically largest error exponent in the class of deterministic classifiers is also optimal in the class of stochastic classifiers for stationary Markov sources of finite order. We then provide a characterization of the error exponents using Markov types. As a result, a new characterization of the error exponent is also obtained for stationary memoryless sources. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Classification problem / Hypothesis test / Error exponent / Markov sources / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 120, no. 410, IT2020-152, pp. 245-250, March 2021. |
Paper # |
IT2020-152 |
Date of Issue |
2021-02-25 (IT, ISEC, WBS) |
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 |
IT2020-152 ISEC2020-82 WBS2020-71 |
Conference Information |
Committee |
WBS IT ISEC |
Conference Date |
2021-03-04 - 2021-03-05 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Online |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Joint Meeting of WBS, IT, and ISEC |
Paper Information |
Registration To |
IT |
Conference Code |
2021-03-WBS-IT-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Analysis of Optimal Error Exponents on Classification for Markov Sources |
Sub Title (in English) |
|
Keyword(1) |
Classification problem |
Keyword(2) |
Hypothesis test |
Keyword(3) |
Error exponent |
Keyword(4) |
Markov sources |
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Hiroto Kuramata |
1st Author's Affiliation |
University of Electro-Communications (UEC) |
2nd Author's Name |
Hideki Yagi |
2nd Author's Affiliation |
University of Electro-Communications (UEC) |
3rd Author's Name |
Tsutomu Kawabata |
3rd Author's Affiliation |
University of Electro-Communications (UEC) |
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 |
2021-03-05 14:45:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2020-152, ISEC2020-82, WBS2020-71 |
Volume (vol) |
vol.120 |
Number (no) |
no.410(IT), no.411(ISEC), no.412(WBS) |
Page |
pp.245-250 |
#Pages |
6 |
Date of Issue |
2021-02-25 (IT, ISEC, WBS) |
|