2009 Fiscal Year Final Research Report
AN ANALYSIS AND AN ORGANIZATION OF OPTIMIZATION METHODS USING COUPLED NONLINEAR DYNAMICS
| Project/Area Number |
20700206
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Sensitivity informatics/Soft computing
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| Research Institution | Chiba University |
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Principal Investigator |
OKAMOTO Takashi Chiba University, 大学院・工学研究科, 助教 (40451752)
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| Project Period (FY) |
2008 – 2009
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| Keywords | 大域的最適化 / カオス / 結合力学系 / 同調現象 / 多目的最適化 |
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| Research Abstract |
In this study, we theoretically analyzed the optimization methods using coupled nonlinear dynamics in which multiple search points driven by nonlinear dynamics implement optimization. Furthermore, we studied an organization of the optimization method using nonlinear dynamics. In consequence, we theoretically explain effectiveness of the introduction of coupled dynamics to the optimization method. Furthermore, we proposed optimization methods using coupled nonlinear dynamics for constrained optimization problems and multi-objective problems. In addition, we proposed an optimization method using coupled gradient dynamics with inertia. These fruits contribute to organize the optimization methods using coupled nonlinear dynamics.
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