| Presentation | 2014-01-21 Mathematical structures of optimal solutions in continuous optimization problems (3) : Estimation of the number of isolated local minima and the number of connected components of local minimal values sets HIDEO KANEMITSU, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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∈S(closed bounded set). For this purpose, first, to examine the existence condition of the minimum point of the case of general functions and multivariate polynomial functions in unconstrained optimization problem. In addition, we have two evaluations as follows: 1) a evaluation of number of solution in case where all solutions are isolated local minima(i.e. finite number of local minima), 2) a evaluation of the number of connected components for all set of local minimal values set. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | optimal solutions / optimization problem / mathematical structure / multimodal function / optimization theory / nonlinear |
| Paper # | NLP2013-129 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2014/1/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Mathematical structures of optimal solutions in continuous optimization problems (3) : Estimation of the number of isolated local minima and the number of connected components of local minimal values sets |
| Sub Title (in English) | |
| Keyword(1) | optimal solutions |
| Keyword(2) | optimization problem |
| Keyword(3) | mathematical structure |
| Keyword(4) | multimodal function |
| Keyword(5) | optimization theory |
| Keyword(6) | nonlinear |
| 1st Author's Name | HIDEO KANEMITSU |
| 1st Author's Affiliation | Hokkaido University of Education() |
| Date | 2014-01-21 |
| Paper # | NLP2013-129 |
| Volume (vol) | vol.113 |
| Number (no) | 383 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |