{"id":"https://openalex.org/W4406400680","doi":"https://doi.org/10.1007/s40747-024-01737-0","title":"Optimization of high-dimensional expensive multi-objective problems using multi-mode radial basis functions","display_name":"Optimization of high-dimensional expensive multi-objective problems using multi-mode radial basis functions","publication_year":2025,"publication_date":"2025-01-15","ids":{"openalex":"https://openalex.org/W4406400680","doi":"https://doi.org/10.1007/s40747-024-01737-0"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-024-01737-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01737-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01737-0.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01737-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055264232","display_name":"Jiangtao Shen","orcid":"https://orcid.org/0000-0002-2070-940X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiangtao Shen","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China"],"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101839607","display_name":"Xinjing Wang","orcid":"https://orcid.org/0000-0002-4110-7811"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinjing Wang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China"],"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102909996","display_name":"Ruixuan He","orcid":"https://orcid.org/0000-0003-1036-4345"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruixuan He","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China"],"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058755242","display_name":"Ye Tian","orcid":"https://orcid.org/0000-0002-3487-5126"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Tian","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui University, Jiulong Road, Hefei, 230601, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui University, Jiulong Road, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100443650","display_name":"Wenxin Wang","orcid":"https://orcid.org/0009-0007-2374-2751"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenxin Wang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China"],"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100395975","display_name":"Peng Wang","orcid":"https://orcid.org/0000-0002-1202-4670"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Wang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China"],"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi\u2019an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Youyi West Road, Xi'an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108987400","display_name":"Zhiwen Wen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwen Wen","raw_affiliation_strings":["Xi\u2019an Precision Machinery Research Institute, Jinye Road, Xi\u2019an, 710072, ShaanXi, China","Xi'an Precision Machinery Research Institute, Jinye Road, Xi'an, 710072, ShaanXi, China"],"affiliations":[{"raw_affiliation_string":"Xi\u2019an Precision Machinery Research Institute, Jinye Road, Xi\u2019an, 710072, ShaanXi, China","institution_ids":["https://openalex.org/I4210144662"]},{"raw_affiliation_string":"Xi'an Precision Machinery Research Institute, Jinye Road, Xi'an, 710072, ShaanXi, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5055264232"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":9.6219,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97868326,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"11","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"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":1.0,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10998","display_name":"Heat Transfer and Optimization","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.7334892749786377},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7146700620651245},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6420477032661438},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6206325888633728},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5806493163108826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5243164300918579},{"id":"https://openalex.org/keywords/swarm-intelligence","display_name":"Swarm intelligence","score":0.4898826479911804},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.48488649725914},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.44439804553985596},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.42688918113708496},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4254879653453827},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4242270290851593},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.41450926661491394},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.34387946128845215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3262075185775757},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2596573233604431},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.2223266065120697}],"concepts":[{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7334892749786377},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7146700620651245},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6420477032661438},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6206325888633728},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5806493163108826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5243164300918579},{"id":"https://openalex.org/C119487961","wikidata":"https://www.wikidata.org/wiki/Q863960","display_name":"Swarm intelligence","level":3,"score":0.4898826479911804},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.48488649725914},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.44439804553985596},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.42688918113708496},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4254879653453827},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4242270290851593},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.41450926661491394},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.34387946128845215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3262075185775757},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2596573233604431},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2223266065120697},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-024-01737-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01737-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01737-0.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:76c4d0325164485db752434050e57585","is_oa":true,"landing_page_url":"https://doaj.org/article/76c4d0325164485db752434050e57585","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 2, Pp 1-22 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-024-01737-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01737-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01737-0.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1003491262","display_name":null,"funder_award_id":"52205268","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2057308097","display_name":null,"funder_award_id":"52175251","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2718601345","display_name":null,"funder_award_id":"JCKY2021206B005","funder_id":"https://openalex.org/F4320335833","funder_display_name":"National Defense Basic Scientific Research Program of China"},{"id":"https://openalex.org/G3085993365","display_name":null,"funder_award_id":"(Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4607562863","display_name":null,"funder_award_id":"5217525","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6760395908","display_name":null,"funder_award_id":"JCKY2021206B005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8448401819","display_name":null,"funder_award_id":"HYGJXM202318","funder_id":"https://openalex.org/F4320321392","funder_display_name":"Northwestern Polytechnical University"}],"funders":[{"id":"https://openalex.org/F4320309475","display_name":"Northwestern University","ror":"https://ror.org/000e0be47"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321392","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86"},{"id":"https://openalex.org/F4320335833","display_name":"National Defense Basic Scientific Research Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4406400680.pdf"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1510052597","https://openalex.org/W1512891209","https://openalex.org/W1514363319","https://openalex.org/W1588375755","https://openalex.org/W1662894842","https://openalex.org/W1679265603","https://openalex.org/W1907706552","https://openalex.org/W1970424517","https://openalex.org/W1971066704","https://openalex.org/W1985357653","https://openalex.org/W2000503034","https://openalex.org/W2016709972","https://openalex.org/W2022485595","https://openalex.org/W2026710445","https://openalex.org/W2041992845","https://openalex.org/W2061438946","https://openalex.org/W2067923752","https://openalex.org/W2082228576","https://openalex.org/W2085507535","https://openalex.org/W2105245738","https://openalex.org/W2107699930","https://openalex.org/W2108968575","https://openalex.org/W2109865546","https://openalex.org/W2111526171","https://openalex.org/W2126105956","https://openalex.org/W2128357515","https://openalex.org/W2137583606","https://openalex.org/W2138002307","https://openalex.org/W2140491475","https://openalex.org/W2140886193","https://openalex.org/W2143185749","https://openalex.org/W2143245714","https://openalex.org/W2143381319","https://openalex.org/W2149316175","https://openalex.org/W2170686156","https://openalex.org/W2318464196","https://openalex.org/W2343601797","https://openalex.org/W2478899349","https://openalex.org/W2546299924","https://openalex.org/W2591927365","https://openalex.org/W2594575977","https://openalex.org/W2764251381","https://openalex.org/W2785722638","https://openalex.org/W2801960628","https://openalex.org/W2803313636","https://openalex.org/W2888338796","https://openalex.org/W2903943767","https://openalex.org/W2909347514","https://openalex.org/W2920943913","https://openalex.org/W3028365645","https://openalex.org/W3086707395","https://openalex.org/W3120951225","https://openalex.org/W4226364607","https://openalex.org/W4231000141","https://openalex.org/W4249517230"],"related_works":["https://openalex.org/W4401797881","https://openalex.org/W2751605210","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W3038748417","https://openalex.org/W3151104768","https://openalex.org/W2419109832","https://openalex.org/W2068949283","https://openalex.org/W2891428731"],"abstract_inverted_index":{"Numerous":[0],"surrogate-assisted":[1],"evolutionary":[2,41],"algorithms":[3],"are":[4,88],"developed":[5],"for":[6,44,90],"multi-objective":[7,48],"expensive":[8,47],"problems":[9,127],"with":[10,21,128],"low":[11],"dimensions,":[12,23],"but":[13],"scarce":[14],"works":[15],"have":[16],"paid":[17],"attention":[18],"to":[19,66,68,130,146],"that":[20,110],"high":[22],"i.e.,":[24],"generally":[25],"more":[26],"than":[27],"30":[28],"decision":[29,132],"variables.":[30],"In":[31],"this":[32],"paper,":[33],"we":[34],"propose":[35],"a":[36],"multi-mode":[37,105],"radial":[38,59,107],"basis":[39,60,108],"functions-assisted":[40],"algorithm":[42,57,87],"(MMRAEA)":[43],"solving":[45],"high-dimensional":[46,96],"optimization":[49,149],"problems.":[50],"To":[51],"improve":[52],"the":[53,55,70,113,135,141,147,151],"reliability,":[54],"proposed":[56,142],"uses":[58],"functions":[61,109],"based":[62,80,103],"on":[63,81,104,124],"three":[64],"modes":[65],"cooperate":[67],"provide":[69],"qualities":[71],"and":[72,85,93,115,156],"uncertainty":[73,116],"information":[74],"of":[75,106,117,137,150],"candidate":[76,118],"solutions.":[77,159],"Meanwhile,":[78],"bi-population":[79],"competitive":[82],"swarm":[83],"optimizer":[84],"genetic":[86],"applied":[89,145],"better":[91],"exploration":[92],"exploitation":[94],"in":[95],"search":[97],"space.":[98],"Accordingly,":[99],"an":[100],"infill":[101],"criterion":[102],"comprehensively":[111],"considers":[112],"quality":[114],"solutions":[119],"is":[120,144],"proposed.":[121],"Experimental":[122],"results":[123],"widely-used":[125],"benchmark":[126],"up":[129],"100":[131],"variables":[133],"demonstrate":[134],"effectiveness":[136],"our":[138],"proposal.":[139],"Furthermore,":[140],"method":[143],"structure":[148],"blended-wing-body":[152],"underwater":[153],"glider":[154],"(BWBUG)":[155],"gets":[157],"impressive":[158]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}