{"id":"https://openalex.org/W2168984786","doi":"https://doi.org/10.1109/cec.2007.4425019","title":"Visualizing High Dimensional Objective Spaces for Multi-objective Optimization: A Virtual Reality Approach","display_name":"Visualizing High Dimensional Objective Spaces for Multi-objective Optimization: A Virtual Reality Approach","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2168984786","doi":"https://doi.org/10.1109/cec.2007.4425019","mag":"2168984786"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2007.4425019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4425019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://nrc-publications.canada.ca/eng/view/accepted/?id=4a5657c5-2e9d-49a9-a047-3a10ed33e2d0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019572093","display_name":"Julio J. Vald\u00e9s","orcid":"https://orcid.org/0000-0003-2930-0325"},"institutions":[{"id":"https://openalex.org/I4210159778","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06","country_code":"CA","type":"government","lineage":["https://openalex.org/I4210159778"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"J. J. Valdes","raw_affiliation_strings":["National Research Council , Ottawa"],"affiliations":[{"raw_affiliation_string":"National Research Council , Ottawa","institution_ids":["https://openalex.org/I4210159778"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111427734","display_name":"Alan J. Barton","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159778","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06","country_code":"CA","type":"government","lineage":["https://openalex.org/I4210159778"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. J. Barton","raw_affiliation_strings":["National Research Council , Ottawa"],"affiliations":[{"raw_affiliation_string":"National Research Council , Ottawa","institution_ids":["https://openalex.org/I4210159778"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019572093"],"corresponding_institution_ids":["https://openalex.org/I4210159778"],"apc_list":null,"apc_paid":null,"fwci":1.4943,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.83650876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4199","last_page":"4206"},"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":0.9973999857902527,"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":0.9968000054359436,"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/embedding","display_name":"Embedding","score":0.7080976366996765},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.652924656867981},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.60273677110672},{"id":"https://openalex.org/keywords/virtual-reality","display_name":"Virtual reality","score":0.5634121894836426},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.5399629473686218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5365213751792908},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5106130242347717},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44313040375709534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44165748357772827},{"id":"https://openalex.org/keywords/high-dimensional","display_name":"High dimensional","score":0.4200802743434906},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41212019324302673},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22329965233802795}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7080976366996765},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.652924656867981},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.60273677110672},{"id":"https://openalex.org/C194969405","wikidata":"https://www.wikidata.org/wiki/Q170519","display_name":"Virtual reality","level":2,"score":0.5634121894836426},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.5399629473686218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5365213751792908},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5106130242347717},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44313040375709534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44165748357772827},{"id":"https://openalex.org/C3019722297","wikidata":"https://www.wikidata.org/wiki/Q4440864","display_name":"High dimensional","level":2,"score":0.4200802743434906},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41212019324302673},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22329965233802795}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cec.2007.4425019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4425019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:cisti-icist.nrc-cnrc.ca:cistinparc:8913775","is_oa":true,"landing_page_url":"https://nrc-publications.canada.ca/fra/voir/objet/?id=4a5657c5-2e9d-49a9-a047-3a10ed33e2d0","pdf_url":"https://nrc-publications.canada.ca/eng/view/accepted/?id=4a5657c5-2e9d-49a9-a047-3a10ed33e2d0","source":{"id":"https://openalex.org/S7407055245","display_name":"NPARC","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"article"}],"best_oa_location":{"id":"pmh:oai:cisti-icist.nrc-cnrc.ca:cistinparc:8913775","is_oa":true,"landing_page_url":"https://nrc-publications.canada.ca/fra/voir/objet/?id=4a5657c5-2e9d-49a9-a047-3a10ed33e2d0","pdf_url":"https://nrc-publications.canada.ca/eng/view/accepted/?id=4a5657c5-2e9d-49a9-a047-3a10ed33e2d0","source":{"id":"https://openalex.org/S7407055245","display_name":"NPARC","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2168984786.pdf","grobid_xml":"https://content.openalex.org/works/W2168984786.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W254944847","https://openalex.org/W1504154695","https://openalex.org/W1567102157","https://openalex.org/W1595498733","https://openalex.org/W2012041274","https://openalex.org/W2040147130","https://openalex.org/W2042060034","https://openalex.org/W2056884786","https://openalex.org/W2066671865","https://openalex.org/W2102365077","https://openalex.org/W2106334424","https://openalex.org/W2116661285","https://openalex.org/W2122960219","https://openalex.org/W2124870279","https://openalex.org/W2126105956","https://openalex.org/W2134312057","https://openalex.org/W2140066605","https://openalex.org/W2152551290","https://openalex.org/W2152825437","https://openalex.org/W2161762394","https://openalex.org/W2167159964","https://openalex.org/W2913066018","https://openalex.org/W3023175681","https://openalex.org/W4231375265","https://openalex.org/W6680838134"],"related_works":["https://openalex.org/W2121549356","https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W1588199609","https://openalex.org/W2384474142","https://openalex.org/W1550055091","https://openalex.org/W2744462909","https://openalex.org/W3083133203"],"abstract_inverted_index":{"This":[0,40],"paper":[1],"presents":[2],"an":[3],"approach":[4,41],"for":[5,51,60],"constructingvisual":[6],"representations":[7],"of":[8,76,82],"high":[9,32,48,78],"dimensional":[10,33,49,63],"objective":[11],"spacesusing":[12],"virtual":[13],"reality.":[14],"These":[15],"spaces":[16,59],"arise":[17],"from":[18],"the":[19,61,77,92],"solutionof":[20],"multi-objective":[21],"optimization":[22],"problems":[23],"with":[24],"more":[25],"than":[26],"3objective":[27],"functions":[28],"which":[29],"lead":[30],"to":[31,38],"Pareto":[34],"frontswhich":[35],"are":[36],"difficult":[37],"use.":[39],"is":[42],"preliminarily":[43],"investigatedusing":[44],"both":[45],"theoretically":[46],"derived":[47],"Paretofronts":[50],"a":[52],"test":[53],"problem":[54,65],"(DTLZ2)":[55],"and":[56],"practically":[57],"obtainedobjective":[58],"4":[62],"knapsack":[64],"viamulti-objective":[66],"evolutionary":[67],"algorithms":[68],"like":[69],"HLGA,":[70],"NSGA,":[71],"andVEGA.":[72],"The":[73],"expected":[74],"characteristics":[75],"dimensionalfronts":[79],"in":[80,91],"terms":[81],"relative":[83],"sizes,":[84],"sequencing,":[85],"embedding":[86],"andasymmetry":[87],"were":[88],"systematically":[89],"observed":[90],"constructedvirtual":[93],"reality":[94],"spaces.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}