{"id":"https://openalex.org/W4393406659","doi":"https://doi.org/10.1109/ciss59072.2024.10480186","title":"Strong Duality Relations in Nonconvex Risk-Constrained Learning","display_name":"Strong Duality Relations in Nonconvex Risk-Constrained Learning","publication_year":2024,"publication_date":"2024-03-13","ids":{"openalex":"https://openalex.org/W4393406659","doi":"https://doi.org/10.1109/ciss59072.2024.10480186"},"language":"en","primary_location":{"id":"doi:10.1109/ciss59072.2024.10480186","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/ciss59072.2024.10480186","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 58th Annual Conference on Information Sciences and Systems (CISS)","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/A5091493591","display_name":"Dionysios S. Kalogerias","orcid":"https://orcid.org/0000-0002-3459-5044"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dionysis Kalogerias","raw_affiliation_strings":["Yale University,Department of Electrical Engineering,New Haven,USA","Department of Electrical Engineering, Yale University, New Haven, USA"],"affiliations":[{"raw_affiliation_string":"Yale University,Department of Electrical Engineering,New Haven,USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Department of Electrical Engineering, Yale University, New Haven, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017796051","display_name":"Spyridon Pougkakiotis","orcid":"https://orcid.org/0000-0001-7903-9335"},"institutions":[{"id":"https://openalex.org/I177639307","display_name":"University of Dundee","ror":"https://ror.org/03h2bxq36","country_code":"GB","type":"education","lineage":["https://openalex.org/I177639307"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Spyridon Pougkakiotis","raw_affiliation_strings":["University of Dundee,School of Science and Engineering,Dundee,UK","School of Science and Engineering, University of Dundee, Dundee, UK"],"affiliations":[{"raw_affiliation_string":"University of Dundee,School of Science and Engineering,Dundee,UK","institution_ids":["https://openalex.org/I177639307"]},{"raw_affiliation_string":"School of Science and Engineering, University of Dundee, Dundee, UK","institution_ids":["https://openalex.org/I177639307"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091493591"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03656418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9710000157356262,"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"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9710000157356262,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9423999786376953,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9401999711990356,"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/duality","display_name":"Duality (order theory)","score":0.764840841293335},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5400038957595825},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43981876969337463},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4248381555080414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3165382146835327},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.18626412749290466},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17265015840530396}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.764840841293335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5400038957595825},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43981876969337463},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4248381555080414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3165382146835327},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.18626412749290466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17265015840530396}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ciss59072.2024.10480186","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/ciss59072.2024.10480186","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 58th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.49000000953674316}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W633277346","https://openalex.org/W2005384814","https://openalex.org/W2116222104","https://openalex.org/W2144000019","https://openalex.org/W2149207794","https://openalex.org/W2149252982","https://openalex.org/W2164499670","https://openalex.org/W2640329709","https://openalex.org/W2729606743","https://openalex.org/W2762644836","https://openalex.org/W2795609531","https://openalex.org/W2893687496","https://openalex.org/W2905810301","https://openalex.org/W2913668833","https://openalex.org/W2914584698","https://openalex.org/W2963857521","https://openalex.org/W2964248288","https://openalex.org/W2990138404","https://openalex.org/W3011338904","https://openalex.org/W3099185017","https://openalex.org/W3122851459","https://openalex.org/W3125094392","https://openalex.org/W3135149588","https://openalex.org/W3188960136","https://openalex.org/W4206328009","https://openalex.org/W4230674625","https://openalex.org/W4252698487","https://openalex.org/W4293846201","https://openalex.org/W4297889277","https://openalex.org/W4379539547","https://openalex.org/W6694954494","https://openalex.org/W6720710635","https://openalex.org/W6734300861","https://openalex.org/W6737893269","https://openalex.org/W6747063171","https://openalex.org/W6749674171","https://openalex.org/W6755506522","https://openalex.org/W6759129252","https://openalex.org/W6771271773","https://openalex.org/W6803277729","https://openalex.org/W6803404775","https://openalex.org/W6839232913","https://openalex.org/W6843602928","https://openalex.org/W6852800496"],"related_works":["https://openalex.org/W2080941243","https://openalex.org/W3213165575","https://openalex.org/W2391797119","https://openalex.org/W2136200239","https://openalex.org/W4307261727","https://openalex.org/W2406638882","https://openalex.org/W4283709143","https://openalex.org/W2056178476","https://openalex.org/W2362763982","https://openalex.org/W4224273196"],"abstract_inverted_index":{"We":[0],"establish":[1],"strong":[2,193],"duality":[3,37,194],"relations":[4],"for":[5,149,163,196],"functional":[6],"two-step":[7],"compositional":[8],"risk-constrained":[9,120],"learning":[10,18],"problems":[11,43],"with":[12,78],"multiple":[13],"nonconvex":[14,121,197],"loss":[15],"functions":[16],"and/or":[17],"constraints,":[19],"regardless":[20],"of":[21,28,42,53,133,143],"nonconvexity":[22],"and":[23,48,70,84,98,170],"under":[24,44,175],"a":[25,129,176,190],"minimal":[26],"set":[27],"technical":[29],"assumptions.":[30],"Our":[31,112],"results":[32,113],"in":[33,56,119,123,185],"particular":[34],"imply":[35],"zero":[36],"gaps":[38],"within":[39],"the":[40,51,54,90,94,158,164,186],"class":[41],"study,":[45],"both":[46],"extending":[47],"improving":[49],"on":[50,106,116,128],"state":[52],"art":[55],"(risk-neutral)":[57],"constrained":[58,168,198],"learning.":[59,199],"More":[60],"specifically,":[61],"we":[62,161],"consider":[63],"risk":[64,73,80,104],"objectives/constraints":[65],"which":[66,126,139],"involve":[67],"real-valued":[68,102],"convex":[69],"positively":[71],"homogeneous":[72],"measures":[74,105],"admitting":[75],"dual":[76],"representations":[77],"bounded":[79],"envelopes,":[81],"generalizing":[82],"expectations":[83],"including":[85],"popular":[86],"examples,":[87],"such":[88],"as":[89,109],"conditional":[91],"value-at-risk":[92],"(CVaR),":[93],"mean-absolute":[95],"deviation":[96],"(MAD),":[97],"more":[99],"generally":[100],"all":[101],"coherent":[103],"integrable":[107],"losses":[108],"special":[110],"cases.":[111],"are":[114],"based":[115],"recent":[117],"advances":[118],"programming":[122],"infinite":[124,151],"dimensions,":[125],"rely":[127],"remarkable":[130],"new":[131,191],"application":[132],"J.":[134,135],"Uhl\u2019s":[136],"convexity":[137,147],"theorem,":[138],"is":[140],"an":[141],"extension":[142],"A.":[144,145],"Lyapunov\u2019s":[146],"theorem":[148],"general,":[150],"dimensional":[152],"Banach":[153],"spaces.":[154],"By":[155],"specializing":[156],"to":[157],"risk-neutral":[159],"setting,":[160],"demonstrate,":[162],"first":[165],"time,":[166],"that":[167],"classification":[169],"regression":[171],"can":[172],"be":[173],"treated":[174],"unifying":[177],"lens,":[178],"while":[179],"dispensing":[180],"certain":[181],"restrictive":[182],"assumptions":[183],"enforced":[184],"current":[187],"literature,":[188],"yielding":[189],"state-of-the-art":[192],"framework":[195]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
