{"id":"https://openalex.org/W3090972983","doi":"https://doi.org/10.1137/19m1271439","title":"Topology of Pareto Sets of Strongly Convex Problems","display_name":"Topology of Pareto Sets of Strongly Convex Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3090972983","doi":"https://doi.org/10.1137/19m1271439","mag":"3090972983"},"language":"en","primary_location":{"id":"doi:10.1137/19m1271439","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1271439","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},"type":"article","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/A5033595790","display_name":"Naoki Hamada","orcid":"https://orcid.org/0000-0002-3630-5987"},"institutions":[{"id":"https://openalex.org/I4210161810","display_name":"Klabzuba (United States)","ror":"https://ror.org/05q12yf11","country_code":"US","type":"company","lineage":["https://openalex.org/I4210161810"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Naoki Hamada","raw_affiliation_strings":["KLab Inc"],"affiliations":[{"raw_affiliation_string":"KLab Inc","institution_ids":["https://openalex.org/I4210161810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015110560","display_name":"Kenta Hayano","orcid":"https://orcid.org/0000-0002-9555-1838"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kenta Hayano","raw_affiliation_strings":["Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052100961","display_name":"Shunsuke Ichiki","orcid":"https://orcid.org/0000-0003-4865-2887"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shunsuke Ichiki","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050970927","display_name":"Yutaro Kabata","orcid":"https://orcid.org/0000-0001-6625-8029"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yutaro Kabata","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5053134540","display_name":"Hiroshi Teramoto","orcid":"https://orcid.org/0000-0002-3548-8195"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hiroshi Teramoto","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5033595790"],"corresponding_institution_ids":["https://openalex.org/I4210161810"],"apc_list":null,"apc_paid":null,"fwci":1.4235,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.7986893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"3","first_page":"2659","last_page":"2686"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9916999936103821,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7285057902336121},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6054949760437012},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6044442653656006},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5968180298805237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46775221824645996},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4535676836967468},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.4390358030796051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4227887690067291},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25884416699409485},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.21242931485176086},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07760560512542725}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7285057902336121},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6054949760437012},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6044442653656006},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5968180298805237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46775221824645996},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4535676836967468},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.4390358030796051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4227887690067291},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25884416699409485},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.21242931485176086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07760560512542725}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1271439","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1271439","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3950639708","display_name":null,"funder_award_id":"JP17K14194","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5730025133","display_name":null,"funder_award_id":"JP16J06911","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7817428861","display_name":null,"funder_award_id":"JPMJPR16E8","funder_id":"https://openalex.org/F4320338111","funder_display_name":"Precursory Research for Embryonic Science and Technology"},{"id":"https://openalex.org/G7913464253","display_name":null,"funder_award_id":"JP16J02200","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G908776737","display_name":null,"funder_award_id":"JP19K03484","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320323365","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320335125","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98"},{"id":"https://openalex.org/F4320338111","display_name":"Precursory Research for Embryonic Science and Technology","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1973241831","https://openalex.org/W1995524686","https://openalex.org/W2003127535","https://openalex.org/W2005596987","https://openalex.org/W2010025771","https://openalex.org/W2011372637","https://openalex.org/W2012972688","https://openalex.org/W2018659986","https://openalex.org/W2020320008","https://openalex.org/W2022485595","https://openalex.org/W2050358508","https://openalex.org/W2061701011","https://openalex.org/W2080865211","https://openalex.org/W2085334198","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2139586806","https://openalex.org/W2140514146","https://openalex.org/W2143245714","https://openalex.org/W2143381319","https://openalex.org/W2154693991","https://openalex.org/W2318739583","https://openalex.org/W2331147446","https://openalex.org/W2791936274","https://openalex.org/W2964247980","https://openalex.org/W2964261776","https://openalex.org/W2985334730","https://openalex.org/W2998715550","https://openalex.org/W3101838719","https://openalex.org/W4234698323","https://openalex.org/W4235965783"],"related_works":["https://openalex.org/W2073298047","https://openalex.org/W1963790170","https://openalex.org/W2586328217","https://openalex.org/W2033790662","https://openalex.org/W2049264236","https://openalex.org/W2130100430","https://openalex.org/W317165722","https://openalex.org/W312725187","https://openalex.org/W2728870795","https://openalex.org/W4378499136"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2,34],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"1":[17],"July":[18],"2019Accepted:":[19],"28":[20,24],"June":[21],"2020Published":[22],"online:":[23],"September":[25],"2020Keywordsmultiobjective":[26],"optimization,":[27],"strongly":[28],"convex":[29],"mapping,":[30],"simplicial":[31],"problem,":[32],"topology":[33],"differentiable":[35],"mappingAMS":[36],"Subject":[37],"Headings90C25,":[38],"90C29,":[39],"57R35,":[40],"57R45Publication":[41],"DataISSN":[42],"(print):":[43],"1052-6234ISSN":[44],"(online):":[45],"1095-7189Publisher:":[46],"Society":[47],"for":[48],"Industrial":[49],"and":[50],"Applied":[51],"MathematicsCODEN:":[52],"sjope8":[53]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}