{"id":"https://openalex.org/W1654720926","doi":"https://doi.org/10.3233/jcm-2012-0401","title":"Aspects of adaptive hierarchical RBF metamodels for optimization","display_name":"Aspects of adaptive hierarchical RBF metamodels for optimization","publication_year":2012,"publication_date":"2012-05-28","ids":{"openalex":"https://openalex.org/W1654720926","doi":"https://doi.org/10.3233/jcm-2012-0401","mag":"1654720926"},"language":"en","primary_location":{"id":"doi:10.3233/jcm-2012-0401","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2012-0401","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023057258","display_name":"Georg van B\u00fchren","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098248","display_name":"Fraunhofer Institute for Algorithms and Scientific Computing","ror":"https://ror.org/00trw9c49","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098248","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Georg van B\u00fchren","raw_affiliation_strings":["Fraunhofer SCAI, Sankt Augustin, Germany","Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer SCAI, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210098248"]},{"raw_affiliation_string":"Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022480222","display_name":"Nils Hornung","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098248","display_name":"Fraunhofer Institute for Algorithms and Scientific Computing","ror":"https://ror.org/00trw9c49","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098248","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nils Hornung","raw_affiliation_strings":["Fraunhofer SCAI, Sankt Augustin, Germany","Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer SCAI, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210098248"]},{"raw_affiliation_string":"Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013340289","display_name":"Tanja Clees","orcid":"https://orcid.org/0000-0001-8650-1436"},"institutions":[{"id":"https://openalex.org/I4210098248","display_name":"Fraunhofer Institute for Algorithms and Scientific Computing","ror":"https://ror.org/00trw9c49","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098248","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tanja Clees","raw_affiliation_strings":["Fraunhofer SCAI, Sankt Augustin, Germany","Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer SCAI, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210098248"]},{"raw_affiliation_string":"Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066064588","display_name":"Lialia Nikitina","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098248","display_name":"Fraunhofer Institute for Algorithms and Scientific Computing","ror":"https://ror.org/00trw9c49","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098248","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lialia Nikitina","raw_affiliation_strings":["Fraunhofer SCAI, Sankt Augustin, Germany","Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer SCAI, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210098248"]},{"raw_affiliation_string":"Fraunhofer SeAl, Sankt Augustin, Gennany#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210098248"],"apc_list":null,"apc_paid":null,"fwci":2.0399,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85962296,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":"1-2","first_page":"5","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metamodeling","display_name":"Metamodeling","score":0.9518660306930542},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.7945845723152161},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7008568048477173},{"id":"https://openalex.org/keywords/kriging","display_name":"Kriging","score":0.6852642893791199},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.6319989562034607},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5706409811973572},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.523147702217102},{"id":"https://openalex.org/keywords/design-of-experiments","display_name":"Design of experiments","score":0.5033320784568787},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4688825309276581},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.41189518570899963},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40002816915512085},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39246052503585815},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.34708791971206665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20388394594192505},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.10994940996170044},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07789391279220581}],"concepts":[{"id":"https://openalex.org/C86610423","wikidata":"https://www.wikidata.org/wiki/Q1925081","display_name":"Metamodeling","level":2,"score":0.9518660306930542},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7945845723152161},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7008568048477173},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.6852642893791199},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.6319989562034607},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5706409811973572},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.523147702217102},{"id":"https://openalex.org/C34559072","wikidata":"https://www.wikidata.org/wiki/Q2334061","display_name":"Design of experiments","level":2,"score":0.5033320784568787},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4688825309276581},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.41189518570899963},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40002816915512085},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39246052503585815},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34708791971206665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20388394594192505},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.10994940996170044},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07789391279220581},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/jcm-2012-0401","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2012-0401","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/228506","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/228506","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1486164486","https://openalex.org/W1494709534","https://openalex.org/W1510052597","https://openalex.org/W1573878755","https://openalex.org/W1597405158","https://openalex.org/W1964722081","https://openalex.org/W1977758817","https://openalex.org/W1984753492","https://openalex.org/W1986382822","https://openalex.org/W2014540832","https://openalex.org/W2039191483","https://openalex.org/W2093229042","https://openalex.org/W2107699930","https://openalex.org/W2112463414","https://openalex.org/W2139983718","https://openalex.org/W2296091609","https://openalex.org/W3168557269"],"related_works":["https://openalex.org/W3150130873","https://openalex.org/W2104827390","https://openalex.org/W2969571561","https://openalex.org/W2620550997","https://openalex.org/W1525931652","https://openalex.org/W2076301380","https://openalex.org/W3121339476","https://openalex.org/W3147153020","https://openalex.org/W206305700","https://openalex.org/W2125285777"],"abstract_inverted_index":{"Radial":[0,29],"basis":[1,30],"functions":[2,17],"(RBFs),":[3],"among":[4],"other":[5],"techniques,":[6],"are":[7],"used":[8],"to":[9],"construct":[10],"metamodels":[11],"that":[12],"approximate":[13],"multi-objective":[14],"expensive":[15],"high-fidelity":[16],"from":[18],"a":[19],"finite":[20],"number":[21],"of":[22,26],"function":[23],"evaluations":[24],"(design":[25],"experiments,":[27],"DoE).":[28],"functio":[31]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2016-06-24T00:00:00"}