{"id":"https://openalex.org/W4416749772","doi":"https://doi.org/10.1109/tcyb.2025.3634364","title":"Multilayer Perceptron Grouping and Sparse Gaussian Process-Based Surrogate-Assisted Evolutionary Algorithm for Expensive Multiobjective Optimization","display_name":"Multilayer Perceptron Grouping and Sparse Gaussian Process-Based Surrogate-Assisted Evolutionary Algorithm for Expensive Multiobjective Optimization","publication_year":2025,"publication_date":"2025-11-27","ids":{"openalex":"https://openalex.org/W4416749772","doi":"https://doi.org/10.1109/tcyb.2025.3634364","pmid":"https://pubmed.ncbi.nlm.nih.gov/41308101"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3634364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3634364","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5019810689","display_name":"Jeng\u2010Shyang Pan","orcid":"https://orcid.org/0000-0002-3128-9025"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jeng-Shyang Pan","raw_affiliation_strings":["School of Artificial Intelligence/School of Future Technology, Nanjing University of Information Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence/School of Future Technology, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103549356","display_name":"Yunfeng Peng","orcid":"https://orcid.org/0009-0002-4819-8856"},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunfeng Peng","raw_affiliation_strings":["School of Computer Science, Northeast Electric Power University, Jilin, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Northeast Electric Power University, Jilin, China","institution_ids":["https://openalex.org/I179060312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085107818","display_name":"Jianpo Li","orcid":"https://orcid.org/0000-0003-3242-9613"},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianpo Li","raw_affiliation_strings":["School of Computer Science, Northeast Electric Power University, Jilin, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Northeast Electric Power University, Jilin, China","institution_ids":["https://openalex.org/I179060312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044953356","display_name":"Jia Zhao","orcid":"https://orcid.org/0000-0002-3652-1903"},"institutions":[{"id":"https://openalex.org/I141103825","display_name":"Nanchang Institute of Technology","ror":"https://ror.org/00avfj807","country_code":"CN","type":"education","lineage":["https://openalex.org/I141103825"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia Zhao","raw_affiliation_strings":["School of Information Engineering, Nanchang Institute of Technology, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Nanchang Institute of Technology, Nanchang, China","institution_ids":["https://openalex.org/I141103825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102740628","display_name":"Lingping Kong","orcid":"https://orcid.org/0000-0002-6825-1469"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Lingping Kong","raw_affiliation_strings":["Faculty of Electrical Engineering and Computer Science, VSB—Technical University of Ostrava, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Computer Science, VSB—Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105826134","display_name":"Shu\u2010Chuan Chu","orcid":"https://orcid.org/0000-0003-2117-0618"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu-Chuan Chu","raw_affiliation_strings":["School of Artificial Intelligence/School of Future Technology, Nanjing University of Information Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence/School of Future Technology, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5019810689"],"corresponding_institution_ids":["https://openalex.org/I200845125"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37476576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"4","first_page":"2148","last_page":"2161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.982699990272522,"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":0.982699990272522,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.00839999970048666,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.000699999975040555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6462000012397766},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6385999917984009},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5166000127792358},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.47999998927116394},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.4733999967575073},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4309000074863434},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.41280001401901245},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.398499995470047}],"concepts":[{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6462000012397766},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6385999917984009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5958999991416931},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5166000127792358},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5153999924659729},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.47999998927116394},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.4733999967575073},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4309000074863434},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41749998927116394},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4000999927520752},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.398499995470047},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3637000024318695},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.34209999442100525},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3328000009059906},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C179717631","wikidata":"https://www.wikidata.org/wiki/Q2991667","display_name":"Multilayer perceptron","level":3,"score":0.2976999878883362},{"id":"https://openalex.org/C207002847","wikidata":"https://www.wikidata.org/wiki/Q2912857","display_name":"Evolution strategy","level":3,"score":0.2777999937534332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27320000529289246},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.27129998803138733},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.25369998812675476},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3634364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3634364","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:41308101","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41308101","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1571870753","https://openalex.org/W1762233554","https://openalex.org/W1976502092","https://openalex.org/W2102365077","https://openalex.org/W2108968575","https://openalex.org/W2126105956","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2201155551","https://openalex.org/W2513211214","https://openalex.org/W2764251381","https://openalex.org/W2785722638","https://openalex.org/W2785988364","https://openalex.org/W2902285083","https://openalex.org/W2946914248","https://openalex.org/W2981328134","https://openalex.org/W3113095334","https://openalex.org/W3120951225","https://openalex.org/W3131268637","https://openalex.org/W3134719405","https://openalex.org/W3154353929","https://openalex.org/W3165370839","https://openalex.org/W3175404958","https://openalex.org/W3194114164","https://openalex.org/W3194527014","https://openalex.org/W3210705326","https://openalex.org/W3216097587","https://openalex.org/W4213023965","https://openalex.org/W4285591354","https://openalex.org/W4296038846","https://openalex.org/W4296916925","https://openalex.org/W4311765018","https://openalex.org/W4313009019","https://openalex.org/W4313150064","https://openalex.org/W4362602242","https://openalex.org/W4367835742","https://openalex.org/W4380244379","https://openalex.org/W4385779643","https://openalex.org/W4386629478","https://openalex.org/W4387989240","https://openalex.org/W4390278191","https://openalex.org/W4393140019","https://openalex.org/W4393305514","https://openalex.org/W4399687353","https://openalex.org/W4404172065"],"related_works":[],"abstract_inverted_index":{"Gaussian":[0],"processes":[1],"(GPs)":[2],"have":[3],"attracted":[4],"considerable":[5],"attention":[6],"in":[7,51],"assisting":[8],"evolutionary":[9,66],"algorithms":[10],"(EAs)":[11],"to":[12,79,124,154],"solve":[13],"computationally":[14],"expensive":[15,53],"optimization":[16,55,173],"problems":[17,56],"(EOPs)":[18],"because":[19],"they":[20],"can":[21],"directly":[22],"provide":[23],"information":[24],"about":[25],"the":[26,32,40,83,90,95,102,117,145,148,186],"uncertainty":[27],"of":[28,35,42,97,119,147],"their":[29,48],"predictions.":[30],"However,":[31],"computational":[33,49,126],"complexity":[34],"GPs":[36],"grows":[37],"cubically":[38],"as":[39,80],"amount":[41],"data":[43],"increases,":[44],"which":[45],"severely":[46],"limits":[47],"efficiency":[50,127],"high-dimensional":[52],"multiobjective":[54],"(EMOPs).":[57],"To":[58],"address":[59],"this":[60],"limitation,":[61],"we":[62],"propose":[63],"a":[64,87,110],"surrogate-assisted":[65],"algorithm":[67],"(SAEA)":[68],"that":[69,179],"integrates":[70],"multilayer":[71],"perceptron":[72],"(MLP)":[73],"grouping":[74,85],"with":[75],"sparse":[76,111,135,149],"GPs,":[77],"referred":[78],"MLPSGP-SAEA.":[81],"First,":[82],"MLP":[84],"selects":[86],"subspace":[88],"from":[89],"original":[91],"space":[92],"by":[93],"evaluating":[94],"impact":[96],"each":[98,107],"decision":[99],"variable":[100],"on":[101,144,165],"objective":[103,108],"functions.":[104],"Then,":[105],"for":[106],"function,":[109],"GP":[112,150],"model":[113,130,151],"is":[114,141],"employed,":[115],"and":[116,136,158,169],"locations":[118],"pseudo-input":[120],"points":[121],"are":[122,163],"optimized":[123],"enhance":[125],"while":[128],"improving":[129],"accuracy.":[131],"Moreover,":[132],"an":[133,170],"adaptive":[134],"diverse":[137],"(ASD)":[138],"infill":[139],"criterion":[140],"proposed,":[142],"based":[143],"characteristics":[146],"predictive":[152],"distribution,":[153],"better":[155],"balance":[156],"exploration":[157],"exploitation.":[159],"Finally,":[160],"extensive":[161],"experiments":[162],"conducted":[164],"four":[166],"benchmark":[167],"suites":[168],"aerodynamic":[171],"design":[172],"problem.":[174],"The":[175],"experimental":[176],"results":[177],"demonstrate":[178],"MLPSGP-SAEA":[180],"exhibits":[181],"significant":[182],"competitive":[183],"advantages":[184],"over":[185],"state-of-the-art":[187],"SAEAs.":[188]},"counts_by_year":[],"updated_date":"2026-03-20T20:47:17.329874","created_date":"2025-11-28T00:00:00"}