{"id":"https://openalex.org/W2118457690","doi":"https://doi.org/10.1109/acc.2007.4282406","title":"Exact Solution of Uncertain Convex Optimization Problems","display_name":"Exact Solution of Uncertain Convex Optimization Problems","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2118457690","doi":"https://doi.org/10.1109/acc.2007.4282406","mag":"2118457690"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282406","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282406","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-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/A5078379817","display_name":"Fabrizio Dabbene","orcid":"https://orcid.org/0000-0002-2258-8971"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210130157","display_name":"Institute of Informatics and Telematics","ror":"https://ror.org/02gdcn153","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210130157","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"F. Dabbene","raw_affiliation_strings":["Politecnico di Torino, IEIIT CNR, Italy","IEIIT-CNR, Turin"],"affiliations":[{"raw_affiliation_string":"Politecnico di Torino, IEIIT CNR, Italy","institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210100607"]},{"raw_affiliation_string":"IEIIT-CNR, Turin","institution_ids":["https://openalex.org/I4210100607","https://openalex.org/I4210130157"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078379817"],"corresponding_institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210100607","https://openalex.org/I4210130157"],"apc_list":null,"apc_paid":null,"fwci":1.461,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77073171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"2654","last_page":"2659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"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":0.9998000264167786,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/bounded-function","display_name":"Bounded function","score":0.7247494459152222},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5724786520004272},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5716837048530579},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4925096929073334},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4839187264442444},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4631373882293701},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4549805521965027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43720507621765137},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4197568893432617},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3904738128185272},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3490166664123535},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33986765146255493},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33618736267089844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07551977038383484}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7247494459152222},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5724786520004272},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5716837048530579},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4925096929073334},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4839187264442444},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4631373882293701},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4549805521965027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43720507621765137},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4197568893432617},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3904738128185272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3490166664123535},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33986765146255493},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33618736267089844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07551977038383484},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282406","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282406","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W103934657","https://openalex.org/W1499021337","https://openalex.org/W1585638233","https://openalex.org/W1646309082","https://openalex.org/W1987656566","https://openalex.org/W1998213879","https://openalex.org/W2013576021","https://openalex.org/W2034878612","https://openalex.org/W2043419861","https://openalex.org/W2048679451","https://openalex.org/W2103455761","https://openalex.org/W2107825213","https://openalex.org/W2148603752","https://openalex.org/W2174883827","https://openalex.org/W2912522929","https://openalex.org/W2986057930","https://openalex.org/W3016843226","https://openalex.org/W3212877690","https://openalex.org/W4243923642","https://openalex.org/W4294968333","https://openalex.org/W4300580367","https://openalex.org/W6629610187","https://openalex.org/W6635010850","https://openalex.org/W6775794996","https://openalex.org/W6804506699","https://openalex.org/W7071374342"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W2296389180","https://openalex.org/W3153752017","https://openalex.org/W4387635768","https://openalex.org/W2985979428","https://openalex.org/W2510140549","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,10,35,50,74,86,125],"novel":[4],"approach":[5],"for":[6,82],"the":[7,18,27,53,57,61,83,109,129],"solution":[8,54],"of":[9,13,20,26,37,60,76,85,92,97],"wide":[11],"class":[12],"convex":[14],"programs":[15],"characterized":[16],"by":[17],"presence":[19],"bounded":[21],"stochastic":[22],"uncertainty.":[23],"The":[24,68,99],"data":[25],"problem":[28,110],"is":[29,71,101],"assumed":[30],"to":[31,66,103,119],"depend":[32,104],"polynomially":[33],"on":[34,73,108],"vector":[36],"uncertain":[38,120],"parameters":[39],"q":[40],"isin":[41],"R":[42],"<sup":[43],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[44,106,113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</sup>":[45],",":[46],"uniformly":[47],"distributed":[48],"in":[49],"box,":[51],"and":[52,94],"should":[55],"minimize":[56],"expected":[58],"value":[59],"cost":[62],"function":[63],"with":[64,89,124],"respect":[65],"q.":[67],"proposed":[69],"methodology":[70],"based":[72],"combination":[75],"low-order":[77],"quadrature":[78],"formulae,":[79],"which":[80],"allow":[81],"construction":[84],"cubature":[87],"rule":[88],"high":[90],"degree":[91],"exactness":[93],"low":[95],"number":[96],"nodes.":[98],"algorithm":[100],"shown":[102],"<i":[105,112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">polynomially</i>":[107],"dimension":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>":[114],".":[115],"A":[116],"specific":[117],"application":[118],"least-squares":[121],"problems,":[122],"along":[123],"numerical":[126],"example,":[127],"concludes":[128],"paper.":[130]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
