Using Gaussian Processes for Metamodeling in Robust Optimization Problems
This article proposes an approach based on Gaussian Processes for building metamodels for robust optimization problems that seek to reduce the computational effort required to quantify uncertainties. The approach is applied to two cases: a low-dimensional benchmark problem and a high-dimensional s...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2023-12-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/17809 |
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| author | Claudemir Mota da Cruz Fran Sérgio Lobato Gustavo Barbosa Libotte |
| author_facet | Claudemir Mota da Cruz Fran Sérgio Lobato Gustavo Barbosa Libotte |
| author_sort | Claudemir Mota da Cruz |
| collection | DOAJ |
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This article proposes an approach based on Gaussian Processes for building metamodels for robust optimization problems that seek to reduce the computational effort required to quantify uncertainties. The approach is applied to two cases: a low-dimensional benchmark problem and a high-dimensional structural design, which consists of minimizing the mass of a structure formed by bars of different materials and diameters, subjected to point loads in different locations. The cases are modeled as robust optimization problems, where the objective function is estimated by a Gaussian Process and the optimization procedure uses a population meta-heuristic. The results indicate that the proposed approach is effective in reducing the number of objective function evaluations required to obtain a robust solution, with no significant statistical differences in the quality of solutions achieved.
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| format | Article |
| id | doaj-art-c5c97ccd66ca4b2b9eebe1f806e1b4ee |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-c5c97ccd66ca4b2b9eebe1f806e1b4ee2025-02-02T19:54:20ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752023-12-0191010.18540/jcecvl9iss10pp17809Using Gaussian Processes for Metamodeling in Robust Optimization ProblemsClaudemir Mota da Cruz0Fran Sérgio Lobato1Gustavo Barbosa Libotte2State University of Santa Cruz - DCEX, Ilhéus, BA, Brazil; Polytechnic Institute, Rio de Janeiro State University - Nova Friburgo, RJ, BrazilFederal University of Uberlândia, Faculty of Chemical Engineering - Uberlândia, MG, BrazilPolytechnic Institute, Rio de Janeiro State University - Nova Friburgo, RJ, Brazil This article proposes an approach based on Gaussian Processes for building metamodels for robust optimization problems that seek to reduce the computational effort required to quantify uncertainties. The approach is applied to two cases: a low-dimensional benchmark problem and a high-dimensional structural design, which consists of minimizing the mass of a structure formed by bars of different materials and diameters, subjected to point loads in different locations. The cases are modeled as robust optimization problems, where the objective function is estimated by a Gaussian Process and the optimization procedure uses a population meta-heuristic. The results indicate that the proposed approach is effective in reducing the number of objective function evaluations required to obtain a robust solution, with no significant statistical differences in the quality of solutions achieved. https://periodicos.ufv.br/jcec/article/view/17809Gaussian. Process. Metamodels. Optimization. Robust |
| spellingShingle | Claudemir Mota da Cruz Fran Sérgio Lobato Gustavo Barbosa Libotte Using Gaussian Processes for Metamodeling in Robust Optimization Problems The Journal of Engineering and Exact Sciences Gaussian. Process. Metamodels. Optimization. Robust |
| title | Using Gaussian Processes for Metamodeling in Robust Optimization Problems |
| title_full | Using Gaussian Processes for Metamodeling in Robust Optimization Problems |
| title_fullStr | Using Gaussian Processes for Metamodeling in Robust Optimization Problems |
| title_full_unstemmed | Using Gaussian Processes for Metamodeling in Robust Optimization Problems |
| title_short | Using Gaussian Processes for Metamodeling in Robust Optimization Problems |
| title_sort | using gaussian processes for metamodeling in robust optimization problems |
| topic | Gaussian. Process. Metamodels. Optimization. Robust |
| url | https://periodicos.ufv.br/jcec/article/view/17809 |
| work_keys_str_mv | AT claudemirmotadacruz usinggaussianprocessesformetamodelinginrobustoptimizationproblems AT fransergiolobato usinggaussianprocessesformetamodelinginrobustoptimizationproblems AT gustavobarbosalibotte usinggaussianprocessesformetamodelinginrobustoptimizationproblems |