{"id":"https://openalex.org/W3192092962","doi":"https://doi.org/10.1109/cec45853.2021.9504996","title":"Approximating Pareto Optimal Set by An Incremental Learning Model","display_name":"Approximating Pareto Optimal Set by An Incremental Learning Model","publication_year":2021,"publication_date":"2021-06-28","ids":{"openalex":"https://openalex.org/W3192092962","doi":"https://doi.org/10.1109/cec45853.2021.9504996","mag":"3192092962"},"language":"en","primary_location":{"id":"doi:10.1109/cec45853.2021.9504996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec45853.2021.9504996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5081479996","display_name":"Tingrui Liu","orcid":"https://orcid.org/0000-0002-2680-7289"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingrui Liu","raw_affiliation_strings":["Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001526404","display_name":"Shenmin Song","orcid":"https://orcid.org/0000-0003-3177-6701"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shenmin Song","raw_affiliation_strings":["Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100354056","display_name":"Xin Li","orcid":"https://orcid.org/0000-0003-2999-9818"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["Sino-German Robotics School, Shenzhen Institute of Information Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sino-German Robotics School, Shenzhen Institute of Information Technology, Shenzhen, China","institution_ids":["https://openalex.org/I158809036"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072363911","display_name":"Liguo Tan","orcid":"https://orcid.org/0000-0002-4916-3105"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liguo Tan","raw_affiliation_strings":["Research Center of Basic Space Science, Harbin Institute of Technology, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center of Basic Space Science, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"169","last_page":"176"},"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":0.9993000030517578,"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/T10969","display_name":"Water resources management and optimization","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/forgetting","display_name":"Forgetting","score":0.7341545224189758},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6833210587501526},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5728793740272522},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5052626729011536},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.49078187346458435},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4717096984386444},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.46314737200737},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4213999807834625},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.41374337673187256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2018338143825531}],"concepts":[{"id":"https://openalex.org/C7149132","wikidata":"https://www.wikidata.org/wiki/Q1377840","display_name":"Forgetting","level":2,"score":0.7341545224189758},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6833210587501526},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5728793740272522},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5052626729011536},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.49078187346458435},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4717096984386444},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.46314737200737},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4213999807834625},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.41374337673187256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2018338143825531},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec45853.2021.9504996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec45853.2021.9504996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326497","display_name":"China Academy of Space Technology","ror":"https://ror.org/025397a59"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W1967157470","https://openalex.org/W2013279402","https://openalex.org/W2015245929","https://openalex.org/W2038420231","https://openalex.org/W2042438268","https://openalex.org/W2074107311","https://openalex.org/W2075170310","https://openalex.org/W2103254706","https://openalex.org/W2106334424","https://openalex.org/W2126105956","https://openalex.org/W2140886193","https://openalex.org/W2150046657","https://openalex.org/W2342630703","https://openalex.org/W2790663233","https://openalex.org/W2824723821","https://openalex.org/W2889014472","https://openalex.org/W2906642565","https://openalex.org/W2911691013","https://openalex.org/W2945042120","https://openalex.org/W2945960009","https://openalex.org/W3008615321","https://openalex.org/W3021941015","https://openalex.org/W3110098918","https://openalex.org/W3156307495","https://openalex.org/W4231665431","https://openalex.org/W6774552830"],"related_works":["https://openalex.org/W4289718052","https://openalex.org/W2164121020","https://openalex.org/W2145559838","https://openalex.org/W3116498279","https://openalex.org/W4287549553","https://openalex.org/W3183027292","https://openalex.org/W4248896073","https://openalex.org/W2974871044","https://openalex.org/W2794885965","https://openalex.org/W4310285384"],"abstract_inverted_index":{"Combining":[0],"a":[1,31,53,89,93,114,120,158],"machine":[2],"learning":[3,42,79,90,145,196],"model":[4,43,121,197],"within":[5],"the":[6,23,40,45,69,74,102,109,128,133,137,141,151,154,162,169,172,189,194,202,211],"search":[7],"procedure":[8],"has":[9],"shown":[10],"great":[11,32],"potentials":[12],"in":[13,44,157],"evolutionary":[14,142],"multiobjective":[15],"optimization":[16],"(EMO).":[17],"The":[18,96,144,180],"priori":[19],"knowledge":[20,152],"obtained":[21],"from":[22,58,153,171],"property":[24],"of":[25,47,84,136],"Pareto":[26],"optimal":[27],"set":[28],"(PS)":[29],"is":[30,49,99,147,165,177,183],"help":[33,199],"for":[34],"reproducing":[35],"high-quality":[36,105],"offspring":[37,106],"solutions.":[38],"However,":[39],"existing":[41],"framework":[46],"EMO":[48],"also":[50],"accompanied":[51],"with":[52,127,205,210],"high":[54],"computational":[55,207],"cost":[56,208],"resulted":[57],"its":[59],"iterative":[60],"strategy":[61],"or":[62],"repetitive":[63],"learning.":[64],"To":[65],"overcome":[66],"this":[67],"shortcoming,":[68],"paper":[70],"proposes":[71],"to":[72,100,131,149,167,185,200],"approximate":[73],"PS":[75,138],"by":[76],"an":[77],"incremental":[78,195],"model.":[80],"Specifically,":[81],"it":[82],"consists":[83],"two":[85],"interdependent":[86],"parts,":[87],"i.e.,":[88],"module":[91,146,164],"and":[92,117,139,188],"forgetting":[94,163],"module.":[95],"basic":[97],"idea":[98],"take":[101],"all":[103],"new":[104],"solutions":[107],"at":[108],"current":[110],"evolution":[111],"iteration":[112],"as":[113,176],"data":[115,129,155],"stream,":[116],"incrementally":[118],"train":[119],"based":[122],"on":[123],"Gaussian":[124],"mixture":[125],"models":[126],"stream":[130,156],"discover":[132],"manifold":[134],"structure":[135],"guide":[140],"search.":[143],"used":[148],"obtain":[150],"batch":[159],"manner,":[160],"while":[161],"applied":[166],"delete":[168],"information":[170],"relatively":[173],"poor":[174],"solution":[175],"removed":[178],"incrementally.":[179],"proposed":[181],"algorithm":[182,203],"employed":[184],"test":[186],"suites,":[187],"numerical":[190],"experiments":[191],"demonstrates":[192],"that":[193],"can":[198],"improve":[201],"performance":[204],"less":[206],"compared":[209],"representative":[212],"algorithms.":[213]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
