A novel global optimization algorithm based on the smoothing function
In this paper, a new global optimization algorithm based on the smoothing function is suggested. Firstly, one of the minimizer x*1 of the smooth function F is found by employing any local minimizer finder, then the function m(x, x*1) := min{F(x); F(x*1)} is considered instead of the objective functi...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2017-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201713900223 |
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Article |
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doaj-4909aaaab31748a6ac76c6baa13fa2c62021-04-02T10:09:11ZengEDP SciencesMATEC Web of Conferences2261-236X2017-01-011390022310.1051/matecconf/201713900223matecconf_icmite2017_00223A novel global optimization algorithm based on the smoothing functionJingjing TianLiu-yang YuanIn this paper, a new global optimization algorithm based on the smoothing function is suggested. Firstly, one of the minimizer x*1 of the smooth function F is found by employing any local minimizer finder, then the function m(x, x*1) := min{F(x); F(x*1)} is considered instead of the objective function F and the minimizer x*2 of the function m is searched. Because of the non-smooth of the function m, the smoothing function for m is used in order to make the local minimizer finding algorithms for smooth optimization available. Finally, a global optimization algorithm based on the smoothing function is presented. The implementation of the algorithm on several test problems is reported with numerical results.https://doi.org/10.1051/matecconf/201713900223 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jingjing Tian Liu-yang Yuan |
| spellingShingle |
Jingjing Tian Liu-yang Yuan A novel global optimization algorithm based on the smoothing function MATEC Web of Conferences |
| author_facet |
Jingjing Tian Liu-yang Yuan |
| author_sort |
Jingjing Tian |
| title |
A novel global optimization algorithm based on the smoothing function |
| title_short |
A novel global optimization algorithm based on the smoothing function |
| title_full |
A novel global optimization algorithm based on the smoothing function |
| title_fullStr |
A novel global optimization algorithm based on the smoothing function |
| title_full_unstemmed |
A novel global optimization algorithm based on the smoothing function |
| title_sort |
novel global optimization algorithm based on the smoothing function |
| publisher |
EDP Sciences |
| series |
MATEC Web of Conferences |
| issn |
2261-236X |
| publishDate |
2017-01-01 |
| description |
In this paper, a new global optimization algorithm based on the smoothing function is suggested. Firstly, one of the minimizer x*1 of the smooth function F is found by employing any local minimizer finder, then the function m(x, x*1) := min{F(x); F(x*1)} is considered instead of the objective function F and the minimizer x*2 of the function m is searched. Because of the non-smooth of the function m, the smoothing function for m is used in order to make the local minimizer finding algorithms for smooth optimization available. Finally, a global optimization algorithm based on the smoothing function is presented. The implementation of the algorithm on several test problems is reported with numerical results. |
| url |
https://doi.org/10.1051/matecconf/201713900223 |
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