Paper Abstract and Keywords |
Presentation |
2009-12-21 13:00
Schrodinger-type Equation for Nonlinear Optimization and its Application to Global Optimization Hideki Satoh (Future Univ. Hakodate) NLP2009-130 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
A method has been developed for deriving the approximate global optimum of a nonlinear objective function.
First, the objective function is expanded into a linear equation for a moment vector, and the optimization problem is reduced to an eigen analysis problem in the wave coefficient space.
Next, the process of the optimization is expressed using a Schr\"odinger-type equation, so global optimization is equivalent to eigen analysis of the Hamiltonian of a Schr\"odinger-type equation.
Computer simulation of this method demonstrated that it produces a good approximation of the global optimum.
An example optimization problem was solved using a Hamiltonian constructed by combining Hamiltonians for other optimization problems, demonstrating that various types of applications can be solved by combining simple Hamiltonians. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
nonlinear / global optimization / wave function / quantum computing / Schrodinger equation / / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, no. 354, NLP2009-130, pp. 21-26, Dec. 2009. |
Paper # |
NLP2009-130 |
Date of Issue |
2009-12-14 (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 |
NLP2009-130 |
Conference Information |
Committee |
NLP |
Conference Date |
2009-12-21 - 2009-12-21 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
|
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
NLP |
Conference Code |
2009-12-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Schrodinger-type Equation for Nonlinear Optimization and its Application to Global Optimization |
Sub Title (in English) |
|
Keyword(1) |
nonlinear |
Keyword(2) |
global optimization |
Keyword(3) |
wave function |
Keyword(4) |
quantum computing |
Keyword(5) |
Schrodinger equation |
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Hideki Satoh |
1st Author's Affiliation |
Future University Hakodate (Future Univ. Hakodate) |
2nd Author's Name |
|
2nd Author's Affiliation |
() |
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 |
2009-12-21 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2009-130 |
Volume (vol) |
vol.109 |
Number (no) |
no.354 |
Page |
pp.21-26 |
#Pages |
6 |
Date of Issue |
2009-12-14 (NLP) |
|