{"id":"https://openalex.org/W4386766617","doi":"https://doi.org/10.1109/tac.2023.3315691","title":"On Objective Function Value Performance of the Scenario Approach Under Regularity Conditions","display_name":"On Objective Function Value Performance of the Scenario Approach Under Regularity Conditions","publication_year":2023,"publication_date":"2023-09-15","ids":{"openalex":"https://openalex.org/W4386766617","doi":"https://doi.org/10.1109/tac.2023.3315691"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3315691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3315691","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2078.1/278129","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035348848","display_name":"Zheming Wang","orcid":"https://orcid.org/0000-0002-5580-0385"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zheming Wang","raw_affiliation_strings":["Department of Automation, Department of Automation, Zhejiang University of Technology, Hangzhou, China","Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Department of Automation, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Rapha\u00ebl M. Jungers","raw_affiliation_strings":["ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035348848"],"corresponding_institution_ids":["https://openalex.org/I55712492"],"apc_list":null,"apc_paid":null,"fwci":1.0685,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80030377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":"7","first_page":"4215","last_page":"4229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9962999820709229,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.954200029373169,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/overfitting","display_name":"Overfitting","score":0.7732869386672974},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7111186981201172},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6794961094856262},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.567211925983429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5229079127311707},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46050402522087097},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.44434648752212524},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4433532953262329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42125165462493896},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.421177476644516},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4178476333618164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35692065954208374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1283918023109436},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09209603071212769},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07230263948440552}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.7732869386672974},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7111186981201172},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6794961094856262},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.567211925983429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5229079127311707},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46050402522087097},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.44434648752212524},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4433532953262329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42125165462493896},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.421177476644516},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4178476333618164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35692065954208374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1283918023109436},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09209603071212769},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07230263948440552},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","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:10.1109/tac.2023.3315691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3315691","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:278129","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/278129","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, , p. 1-15 (2023)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dial.uclouvain.be:boreal:278129","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/278129","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, , p. 1-15 (2023)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W136694183","https://openalex.org/W1513869646","https://openalex.org/W1569990960","https://openalex.org/W1579824288","https://openalex.org/W1976466849","https://openalex.org/W2011199136","https://openalex.org/W2043772803","https://openalex.org/W2052211901","https://openalex.org/W2089105401","https://openalex.org/W2089326092","https://openalex.org/W2117781171","https://openalex.org/W2131116400","https://openalex.org/W2131295967","https://openalex.org/W2164261482","https://openalex.org/W2167412190","https://openalex.org/W2338188380","https://openalex.org/W2481731143","https://openalex.org/W2790380176","https://openalex.org/W2798344481","https://openalex.org/W2903240769","https://openalex.org/W2964791347","https://openalex.org/W2969264971","https://openalex.org/W2991484107","https://openalex.org/W3088800714","https://openalex.org/W3090123627","https://openalex.org/W3098173350","https://openalex.org/W3195475456","https://openalex.org/W3200797398","https://openalex.org/W3201160097","https://openalex.org/W3211802541","https://openalex.org/W3212877690","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4250589301","https://openalex.org/W4251616545","https://openalex.org/W4315472113","https://openalex.org/W6782293614","https://openalex.org/W6784194313","https://openalex.org/W6788218873"],"related_works":["https://openalex.org/W1574414179","https://openalex.org/W4362597605","https://openalex.org/W3009056573","https://openalex.org/W2922073769","https://openalex.org/W4297676672","https://openalex.org/W4281702477","https://openalex.org/W4378510483","https://openalex.org/W4376166922","https://openalex.org/W2490526372","https://openalex.org/W3153752017"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,8,25,46,70,98,103],"objective":[3,26,106],"function":[4],"value":[5,27,107],"performance":[6],"of":[7,35,48,50],"scenario":[9,29],"approach":[10],"for":[11,24],"robust":[12,51],"convex":[13],"optimization.":[14],"A":[15],"novel":[16],"method":[17,38,87],"is":[18],"proposed":[19],"to":[20,88],"derive":[21],"probabilistic":[22,105],"bounds":[23,67],"from":[28],"programs":[30],"with":[31],"a":[32,41,89],"finite":[33],"number":[34],"samples.":[36],"This":[37],"relies":[39],"on":[40,45,102],"max-min":[42],"reformulation":[43],"and":[44,57],"concept":[47],"complexity":[49],"optimization":[52],"problems.":[53],"With":[54],"additional":[55],"continuity":[56],"regularity":[58],"conditions,":[59],"via":[60],"sensitivity":[61],"analysis,":[62],"we":[63,78,84,96],"also":[64,79],"provide":[65,80],"explicit":[66],"which":[68],"outperform":[69],"previously":[71],"existing":[72],"bounds.":[73,108],"To":[74],"illustrate":[75],"our":[76,86],"contribution,":[77],"numerical":[81],"examples.":[82],"Finally,":[83],"apply":[85],"planar":[90],"antenna":[91],"array":[92],"synthesis":[93],"problem,":[94],"where":[95],"investigate":[97],"overfitting":[99],"issue":[100],"based":[101],"derived":[104]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}
