Paper Abstract and Keywords |
Presentation |
2012-11-20 10:50
Mathematical structure of optimal solutions in continuous optimization problems (1)
-- Definitions and basic properties of optimal solutions by (connected) level sets -- Hideo Kanemitsu (Hokkaido Univ. of Edu.), Hideyuki Imai, Masaaki Miyakoshi (Hokkaido Univ.) NLP2012-86 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We show mathematical structures of optimal solutions in continuous optimization problem with continuous multivariate multimodal objective function : ``minimize : $f(x)$ \ subject to $x\in S$(closed bounded set). For realising the purpose, we show a definition of local solutions by neighbourhood of a solution and (connected)(equal)level set, describe relationship between the definition and previous definitions of solutions, differences of concept of solutions and the number of solutions especially in case where there exists flat regions on a function. The definition in this report is more concise than the previous definitions of optimal solutions. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
optimal solution / optimization problem / mathematical structure / multimodal function / optimization theory / nonlinear / / |
Reference Info. |
IEICE Tech. Rep., vol. 112, no. 301, NLP2012-86, pp. 55-60, Nov. 2012. |
Paper # |
NLP2012-86 |
Date of Issue |
2012-11-12 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 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 |
NLP2012-86 |
Conference Information |
Committee |
NLP |
Conference Date |
2012-11-19 - 2012-11-20 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ishinomaki Senshu University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2012-11-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Mathematical structure of optimal solutions in continuous optimization problems (1) |
Sub Title (in English) |
Definitions and basic properties of optimal solutions by (connected) level sets |
Keyword(1) |
optimal solution |
Keyword(2) |
optimization problem |
Keyword(3) |
mathematical structure |
Keyword(4) |
multimodal function |
Keyword(5) |
optimization theory |
Keyword(6) |
nonlinear |
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Hideo Kanemitsu |
1st Author's Affiliation |
Hokkaido University of Education (Hokkaido Univ. of Edu.) |
2nd Author's Name |
Hideyuki Imai |
2nd Author's Affiliation |
Hokkaido University (Hokkaido Univ.) |
3rd Author's Name |
Masaaki Miyakoshi |
3rd Author's Affiliation |
Hokkaido Universit (Hokkaido Univ.) |
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 |
2012-11-20 10:50:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2012-86 |
Volume (vol) |
vol.112 |
Number (no) |
no.301 |
Page |
pp.55-60 |
#Pages |
6 |
Date of Issue |
2012-11-12 (NLP) |