{"id":"https://openalex.org/W2790380176","doi":"https://doi.org/10.1109/tac.2018.2808446","title":"A General Scenario Theory for Nonconvex Optimization and Decision Making","display_name":"A General Scenario Theory for Nonconvex Optimization and Decision Making","publication_year":2018,"publication_date":"2018-02-21","ids":{"openalex":"https://openalex.org/W2790380176","doi":"https://doi.org/10.1109/tac.2018.2808446","mag":"2790380176"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2808446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2808446","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/11311/1047028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068752903","display_name":"Marco C. Campi","orcid":"https://orcid.org/0000-0002-5209-3312"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Claudio Campi","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Brescia, Brescia, Italy","Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080248970","display_name":"Simone Garatti","orcid":"https://orcid.org/0000-0002-5451-6892"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Garatti","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039086017","display_name":"Federico Ramponi","orcid":"https://orcid.org/0000-0002-8036-6947"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Alessandro Ramponi","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Brescia, Brescia, Italy","Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068752903"],"corresponding_institution_ids":["https://openalex.org/I79940851"],"apc_list":null,"apc_paid":null,"fwci":15.8856,"has_fulltext":true,"cited_by_count":161,"citation_normalized_percentile":{"value":0.99223584,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"63","issue":"12","first_page":"4067","last_page":"4078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976000189781189,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5715998411178589},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5242712497711182},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.4478333294391632},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3374474048614502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28991246223449707},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08297425508499146}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5715998411178589},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5242712497711182},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.4478333294391632},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3374474048614502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28991246223449707},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08297425508499146}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2018.2808446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2808446","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:re.public.polimi.it:11311/1047028","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1047028","pdf_url":"http://hdl.handle.net/11311/1047028","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unibs.it:11379/501867","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/501867","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/1047028","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1047028","pdf_url":"http://hdl.handle.net/11311/1047028","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324342","display_name":"Universit\u00e0 degli Studi di Brescia","ror":"https://ror.org/02q2d2610"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2790380176.pdf","grobid_xml":"https://content.openalex.org/works/W2790380176.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W170235996","https://openalex.org/W1567070076","https://openalex.org/W1585638233","https://openalex.org/W1767463261","https://openalex.org/W1779382673","https://openalex.org/W1976466849","https://openalex.org/W1987486506","https://openalex.org/W1987656566","https://openalex.org/W1988431852","https://openalex.org/W1991235533","https://openalex.org/W1993864744","https://openalex.org/W2000034396","https://openalex.org/W2007921211","https://openalex.org/W2018878471","https://openalex.org/W2028470781","https://openalex.org/W2033166687","https://openalex.org/W2056629325","https://openalex.org/W2066778083","https://openalex.org/W2080717363","https://openalex.org/W2094435766","https://openalex.org/W2096418653","https://openalex.org/W2099506495","https://openalex.org/W2104371886","https://openalex.org/W2112198937","https://openalex.org/W2113642685","https://openalex.org/W2117781171","https://openalex.org/W2125107769","https://openalex.org/W2143514150","https://openalex.org/W2148603752","https://openalex.org/W2150664153","https://openalex.org/W2164261482","https://openalex.org/W2167412190","https://openalex.org/W2177752066","https://openalex.org/W2204898024","https://openalex.org/W2248658287","https://openalex.org/W2288478885","https://openalex.org/W2481731143","https://openalex.org/W2536620281","https://openalex.org/W2798344481","https://openalex.org/W2963846964","https://openalex.org/W3098173350","https://openalex.org/W3099167349","https://openalex.org/W3099369367","https://openalex.org/W3099507721","https://openalex.org/W3106992008","https://openalex.org/W3212877690","https://openalex.org/W4206624982","https://openalex.org/W4247165901","https://openalex.org/W4250913065","https://openalex.org/W4255308044","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W4294755231","https://openalex.org/W4313594004"],"abstract_inverted_index":{"The":[0,187],"scenario":[1,98],"approach":[2,188],"is":[3,41,57,133,139,160,168,181,207,214,235],"a":[4,13,28,46,67,121,150,163,211,220,229,239],"general":[5,230],"methodology":[6,99],"for":[7,51,63],"data-driven":[8],"optimization":[9,40,56,218,234],"that":[10,25,48,70,79,129,213],"has":[11],"attracted":[12],"great":[14],"deal":[15],"of":[16,30,76,83,146,149,219,232],"attention":[17],"in":[18,38,89,112,144,157,190,224],"the":[19,35,52,73,77,81,84,97,113,130,137,147,165,176,205,217],"past":[20],"few":[21],"years.":[22],"It":[23],"prescribes":[24],"one":[26],"collects":[27],"record":[29],"previous":[31,125],"cases":[32],"(scenarios)":[33],"from":[34,124],"same":[36],"setup":[37,115],"which":[39,233],"being":[42],"conducted":[43],"and":[44,100,141,170],"makes":[45],"decision":[47,202],"attains":[49],"optimality":[50],"seen":[53,237],"cases.":[54],"Scenario":[55],"by":[58,173],"now":[59],"very":[60],"well":[61,88],"understood":[62],"convex":[64],"problems,":[65],"where":[66,204],"theory":[68,95],"exists":[69],"rigorously":[71],"certifies":[72],"generalization":[74,131,166],"properties":[75],"solution,":[78],"is,":[80],"ability":[82],"solution":[85,138,206],"to":[86,91,175,183,196,200,210],"perform":[87],"connection":[90],"new":[92],"situations.":[93],"This":[94,104,179],"supports":[96],"justifies":[101],"its":[102,142],"use.":[103],"paper":[105,192],"considers":[106],"nonconvex":[107,114],"problems.":[108],"While":[109],"other":[110],"contributions":[111],"already":[116],"exist,":[117],"we":[118,227],"here":[119],"take":[120],"major":[122],"departure":[123],"approaches.":[126],"We":[127],"suggest":[128],"level":[132,167],"evaluated":[134],"only":[135,195],"after":[136],"found":[140],"complexity":[143],"terms":[145],"length":[148],"support":[151],"subsample":[152],"(a":[153],"notion":[154],"precisely":[155],"introduced":[156],"this":[158,191],"paper)":[159],"assessed.":[161],"As":[162],"consequence,":[164],"stochastic":[169],"adjusted":[171],"case":[172,174],"available":[177],"scenarios.":[178],"fact":[180],"key":[182],"obtain":[184],"tight":[185],"results.":[186],"adopted":[189],"applies":[193],"not":[194,215],"optimization,":[197],"but":[198],"also":[199],"generic":[201],"problems":[203],"obtained":[208],"according":[209],"rule":[212],"necessarily":[216],"cost":[221],"function.":[222],"Accordingly,":[223],"our":[225],"presentation":[226],"adopt":[228],"stance":[231],"just":[236],"as":[238],"particular":[240],"case.":[241]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":28},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":33},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}