On the use of polynomial models in multiobjective directional direct search

Detalhes bibliográficos
Autor(a) principal: Brás, Carmo P.
Data de Publicação: 2020
Outros Autores: Custódio, Ana Luísa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/115775
Resumo: FCT - Fundacao para a Ciencia e a Tecnologia PTDC/MAT-APL/28400/2017; UIDB/00297/2020.
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spelling On the use of polynomial models in multiobjective directional direct searchDerivative-free optimizationDirect search methodsMinimum Frobenius norm modelsMultiobjective optimizationQuadratic polynomial interpolation and regressionControl and OptimizationComputational MathematicsApplied MathematicsFCT - Fundacao para a Ciencia e a Tecnologia PTDC/MAT-APL/28400/2017; UIDB/00297/2020.Polynomial interpolation or regression models are an important tool in Derivative-free Optimization, acting as surrogates of the real function. In this work, we propose the use of these models in the multiobjective framework of directional direct search, namely the one of Direct Multisearch. Previously evaluated points are used to build quadratic polynomial models, which are minimized in an attempt of generating nondominated points of the true function, defining a search step for the algorithm. Numerical results state the competitiveness of the proposed approach.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNBrás, Carmo P.Custódio, Ana Luísa2022-03-31T00:31:41Z2020-10-122020-10-12T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article22application/pdfhttp://hdl.handle.net/10362/115775eng0926-6003PURE: 26036235https://doi.org/10.1007/s10589-020-00233-8info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:58:13Zoai:run.unl.pt:10362/115775Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:42:48.873129Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the use of polynomial models in multiobjective directional direct search
title On the use of polynomial models in multiobjective directional direct search
spellingShingle On the use of polynomial models in multiobjective directional direct search
Brás, Carmo P.
Derivative-free optimization
Direct search methods
Minimum Frobenius norm models
Multiobjective optimization
Quadratic polynomial interpolation and regression
Control and Optimization
Computational Mathematics
Applied Mathematics
title_short On the use of polynomial models in multiobjective directional direct search
title_full On the use of polynomial models in multiobjective directional direct search
title_fullStr On the use of polynomial models in multiobjective directional direct search
title_full_unstemmed On the use of polynomial models in multiobjective directional direct search
title_sort On the use of polynomial models in multiobjective directional direct search
author Brás, Carmo P.
author_facet Brás, Carmo P.
Custódio, Ana Luísa
author_role author
author2 Custódio, Ana Luísa
author2_role author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Brás, Carmo P.
Custódio, Ana Luísa
dc.subject.por.fl_str_mv Derivative-free optimization
Direct search methods
Minimum Frobenius norm models
Multiobjective optimization
Quadratic polynomial interpolation and regression
Control and Optimization
Computational Mathematics
Applied Mathematics
topic Derivative-free optimization
Direct search methods
Minimum Frobenius norm models
Multiobjective optimization
Quadratic polynomial interpolation and regression
Control and Optimization
Computational Mathematics
Applied Mathematics
description FCT - Fundacao para a Ciencia e a Tecnologia PTDC/MAT-APL/28400/2017; UIDB/00297/2020.
publishDate 2020
dc.date.none.fl_str_mv 2020-10-12
2020-10-12T00:00:00Z
2022-03-31T00:31:41Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/115775
url http://hdl.handle.net/10362/115775
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0926-6003
PURE: 26036235
https://doi.org/10.1007/s10589-020-00233-8
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 22
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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