{"id":"https://openalex.org/W3034183846","doi":"https://doi.org/10.1137/20m1345219","title":"A Supervised Learning Approach Involving Active Subspaces for an Efficient Genetic Algorithm in High-Dimensional Optimization Problems","display_name":"A Supervised Learning Approach Involving Active Subspaces for an Efficient Genetic Algorithm in High-Dimensional Optimization Problems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3034183846","doi":"https://doi.org/10.1137/20m1345219","mag":"3034183846"},"language":"en","primary_location":{"id":"doi:10.1137/20m1345219","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1345219","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.07282","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043599485","display_name":"Nicola Demo","orcid":"https://orcid.org/0000-0003-3107-9738"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicola Demo","raw_affiliation_strings":["SISSA, Mathematics Area, mathLab, via Bonomea 265, I-34136 Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SISSA, Mathematics Area, mathLab, via Bonomea 265, I-34136 Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061743114","display_name":"Marco Tezzele","orcid":"https://orcid.org/0000-0001-9747-6328"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Tezzele","raw_affiliation_strings":["SISSA, Mathematics Area, mathLab, via Bonomea 265, I-34136 Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SISSA, Mathematics Area, mathLab, via Bonomea 265, I-34136 Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061558433","display_name":"Gianluigi Rozza","orcid":"https://orcid.org/0000-0002-0810-8812"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianluigi Rozza","raw_affiliation_strings":["SISSA, Mathematics Area, mathLab, via Bonomea 265, I-34136 Trieste, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0810-8812","affiliations":[{"raw_affiliation_string":"SISSA, Mathematics Area, mathLab, via Bonomea 265, I-34136 Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138549579"],"apc_list":null,"apc_paid":null,"fwci":2.7743,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.91161061,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"43","issue":"3","first_page":"B831","last_page":"B853"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994000196456909,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/linear-subspace","display_name":"Linear subspace","score":0.8446083068847656},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6686294674873352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6562298536300659},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6461728811264038},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5415142178535461},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5018758773803711},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47936302423477173},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4762071371078491},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.46033793687820435},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4251987040042877},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41479814052581787},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.41404715180397034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31479164958000183}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8446083068847656},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6686294674873352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6562298536300659},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6461728811264038},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5415142178535461},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5018758773803711},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47936302423477173},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4762071371078491},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.46033793687820435},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4251987040042877},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41479814052581787},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.41404715180397034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31479164958000183},{"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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1345219","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1345219","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.07282","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.07282","pdf_url":"https://arxiv.org/pdf/2006.07282","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.07282","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.07282","pdf_url":"https://arxiv.org/pdf/2006.07282","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1553983921","display_name":null,"funder_award_id":"681447","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G2247212197","display_name":null,"funder_award_id":"GNCS 2019","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G4937468798","display_name":null,"funder_award_id":"H2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6315092050","display_name":null,"funder_award_id":"H2020","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1480330138","https://openalex.org/W1521931609","https://openalex.org/W1549119093","https://openalex.org/W1550474463","https://openalex.org/W1559956479","https://openalex.org/W1565902586","https://openalex.org/W1587100796","https://openalex.org/W1588090126","https://openalex.org/W1597405158","https://openalex.org/W1659842140","https://openalex.org/W1974987571","https://openalex.org/W1976502092","https://openalex.org/W1991797953","https://openalex.org/W2030006024","https://openalex.org/W2031103608","https://openalex.org/W2031715986","https://openalex.org/W2053469438","https://openalex.org/W2062058373","https://openalex.org/W2068878490","https://openalex.org/W2108077794","https://openalex.org/W2119401655","https://openalex.org/W2123478933","https://openalex.org/W2124548165","https://openalex.org/W2133118715","https://openalex.org/W2149479912","https://openalex.org/W2185575900","https://openalex.org/W2187483593","https://openalex.org/W2324881822","https://openalex.org/W2483031229","https://openalex.org/W2515375413","https://openalex.org/W2530938137","https://openalex.org/W2754483672","https://openalex.org/W2772709428","https://openalex.org/W2775128776","https://openalex.org/W2789858693","https://openalex.org/W2942900336","https://openalex.org/W2963941369","https://openalex.org/W2970963069","https://openalex.org/W2971026911","https://openalex.org/W2989659967","https://openalex.org/W2999507627","https://openalex.org/W3008802455","https://openalex.org/W3012845507","https://openalex.org/W3023788998","https://openalex.org/W3080980059","https://openalex.org/W3091810816","https://openalex.org/W3092341140","https://openalex.org/W3095125464","https://openalex.org/W3103339044","https://openalex.org/W3103869760","https://openalex.org/W3120555209","https://openalex.org/W3122709769","https://openalex.org/W3127624102","https://openalex.org/W3162336436"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W4294291164","https://openalex.org/W3172436493","https://openalex.org/W1887135636","https://openalex.org/W4287164812","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849","https://openalex.org/W4285605394"],"abstract_inverted_index":{"In":[0,29,105],"this":[1,74,106],"work,":[2],"we":[3,76,108,142],"present":[4],"an":[5,146],"extension":[6],"of":[7,63,85],"genetic":[8],"algorithm":[9],"(GA)":[10],"which":[11],"exploits":[12],"the":[13,23,46,60,69,81,86,93,96,110,120,126],"supervised":[14],"learning":[15],"technique":[16],"called":[17,113],"active":[18],"subspaces":[19],"(AS)":[20],"to":[21,43,45,65,78,145],"evolve":[22],"individuals":[24],"on":[25],"a":[26,102],"lower-dimensional":[27,103],"space.":[28,104],"many":[30],"cases,":[31],"GA":[32,122],"requires":[33],"in":[34,101],"fact":[35],"more":[36],"function":[37,88],"evaluations":[38],"than":[39],"other":[40],"optimization":[41,149],"methods":[42],"converge":[44],"global":[47],"optimum.":[48],"Thus,":[49],"complex":[50],"and":[51,98,117,139],"high-dimensional":[52],"functions":[53],"can":[54],"end":[55],"up":[56],"extremely":[57],"demanding":[58],"(from":[59],"computational":[61],"point":[62],"view)":[64],"be":[66],"optimized":[67],"with":[68,119],"standard":[70,121],"algorithm.":[71],"To":[72],"address":[73],"issue,":[75],"propose":[77],"linearly":[79],"map":[80],"input":[82],"parameter":[83],"space":[84],"original":[87],"onto":[89],"its":[90],"AS":[91],"before":[92],"evolution,":[94],"performing":[95],"mutation":[97],"mate":[99],"processes":[100],"contribution,":[107],"describe":[109],"novel":[111],"method":[112,128],"ASGA,":[114],"presenting":[115],"differences":[116],"similarities":[118],"method.":[123],"We":[124],"test":[125],"proposed":[127],"over":[129],"$n$-dimensional":[130],"benchmark":[131],"functions---Rosenbrock,":[132],"Ackley,":[133],"Bohachevsky,":[134],"Rastrigin,":[135],"Schaffer":[136],"N.":[137],"7,":[138],"Zakharov---and":[140],"finally":[141],"apply":[143],"it":[144],"aeronautical":[147],"shape":[148],"problem.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
