{"id":"https://openalex.org/W4391020856","doi":"https://doi.org/10.1109/cdc49753.2023.10383306","title":"Inner Approximations of Stochastic Programs for Data-Driven Stochastic Barrier Function Design","display_name":"Inner Approximations of Stochastic Programs for Data-Driven Stochastic Barrier Function Design","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020856","doi":"https://doi.org/10.1109/cdc49753.2023.10383306"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","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/A5012269939","display_name":"Frederik Baymler Mathiesen","orcid":"https://orcid.org/0000-0002-2243-0445"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Frederik Baymler Mathiesen","raw_affiliation_strings":["Delft Center for Systems and Control, TU Delft"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, TU Delft","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011771160","display_name":"Licio Romao","orcid":"https://orcid.org/0000-0002-5716-6162"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Licio Romao","raw_affiliation_strings":["University of Oxford.,Department of Computer Science","Department of Computer Science, University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford.,Department of Computer Science","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]},{"raw_affiliation_string":"Department of Computer Science, University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052655645","display_name":"Simeon C. Calvert","orcid":"https://orcid.org/0000-0002-1173-0071"},"institutions":[{"id":"https://openalex.org/I1334704838","display_name":"Transport Canada","ror":"https://ror.org/0238rs311","country_code":"CA","type":"government","lineage":["https://openalex.org/I1334704838"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["CA","NL"],"is_corresponding":false,"raw_author_name":"Simeon C. Calvert","raw_affiliation_strings":["TU Delft,Department of Transport &#x0026; Planning"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Delft,Department of Transport &#x0026; Planning","institution_ids":["https://openalex.org/I1334704838","https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091718585","display_name":"Alessandro Abate","orcid":"https://orcid.org/0000-0002-5627-9093"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alessandro Abate","raw_affiliation_strings":["University of Oxford.,Department of Computer Science","Department of Computer Science, University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford.,Department of Computer Science","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]},{"raw_affiliation_string":"Department of Computer Science, University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009660282","display_name":"Luca Laurenti","orcid":"https://orcid.org/0000-0003-1190-6097"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Luca Laurenti","raw_affiliation_strings":["Delft Center for Systems and Control, TU Delft"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, TU Delft","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9441,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79147748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3073","last_page":"3080"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9919999837875366,"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":0.9919999837875366,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6888178586959839},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6743230223655701},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6455946564674377},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6440699100494385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6279630064964294},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.5147652626037598},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4555245339870453},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43902239203453064},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4260512888431549},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.41378363966941833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32862937450408936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21514081954956055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09370413422584534}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6888178586959839},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6743230223655701},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6455946564674377},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6440699100494385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6279630064964294},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.5147652626037598},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4555245339870453},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43902239203453064},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4260512888431549},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.41378363966941833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32862937450408936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21514081954956055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09370413422584534},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","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":28,"referenced_works":["https://openalex.org/W1976466849","https://openalex.org/W2010923515","https://openalex.org/W2033118636","https://openalex.org/W2080813827","https://openalex.org/W2094467916","https://openalex.org/W2810334434","https://openalex.org/W2906997088","https://openalex.org/W2944522148","https://openalex.org/W2968009374","https://openalex.org/W3119047266","https://openalex.org/W3141421587","https://openalex.org/W3199797691","https://openalex.org/W3211208700","https://openalex.org/W4250589301","https://openalex.org/W4250913065","https://openalex.org/W4283072363","https://openalex.org/W4285132971","https://openalex.org/W4285274505","https://openalex.org/W4287817734","https://openalex.org/W4297781990","https://openalex.org/W4312744983","https://openalex.org/W4375852054","https://openalex.org/W4382318213","https://openalex.org/W6629247958","https://openalex.org/W6653045436","https://openalex.org/W6743333067","https://openalex.org/W6766132365","https://openalex.org/W6839171888"],"related_works":["https://openalex.org/W4254717236","https://openalex.org/W2377757044","https://openalex.org/W3160952126","https://openalex.org/W2382905498","https://openalex.org/W2320103255","https://openalex.org/W798918733","https://openalex.org/W4213167601","https://openalex.org/W1585941908","https://openalex.org/W2101287851","https://openalex.org/W163279402"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,27,32,57,63,84,148,159],"new":[4],"framework":[5],"to":[6,30,55,83,93,109,112,128,131,153],"compute":[7],"finite-horizon":[8],"safety":[9],"guarantees":[10],"for":[11],"discrete-time":[12],"piece-wise":[13],"affine":[14],"systems":[15],"with":[16,151,158],"stochastic":[17,33,53],"noise":[18],"of":[19,107,119,136,165],"unknown":[20],"distributions.":[21],"The":[22,134],"approach":[23,29,70],"is":[24,98,124,139,162],"based":[25],"on":[26,42,67,142],"novel":[28],"synthesise":[31],"barrier":[34],"function":[35],"(SBF)":[36],"from":[37],"noisy":[38],"data":[39,99,108],"and":[40,123],"rely":[41],"the":[43,52,77,105,113,116,120,137],"scenario":[44,69],"optimization":[45],"theory.":[46],"In":[47,91],"particular,":[48],"we":[49],"show":[50,75,147],"that":[51,76,161],"program":[54,79],"synthesize":[56],"SBF":[58],"can":[59,80],"be":[60,81,110],"relaxed":[61],"into":[62],"chance-constrained":[64],"optimisation":[65],"problem":[66],"which":[68],"theory":[71],"applies.":[72],"We":[73],"further":[74],"resulting":[78],"reduced":[82],"linear":[85,132],"programming":[86],"problem,":[87],"thus":[88],"guaranteeing":[89],"efficiency.":[90],"contrast":[92],"existing":[94],"approaches,":[95],"this":[96],"method":[97,138],"efficient":[100,126],"as":[101],"it":[102],"only":[103],"requires":[104],"number":[106],"proportional":[111],"logarithm":[114],"in":[115],"negative":[117],"inverse":[118],"confidence":[121,160],"level":[122],"computationally":[125],"due":[127],"its":[129],"reduction":[130],"programming.":[133],"efficacy":[135],"empirically":[140],"evaluated":[141],"various":[143],"verification":[144],"benchmarks.":[145],"Experiments":[146],"significant":[149],"improvement":[150],"respect":[152],"state-of-the-art,":[154],"obtaining":[155],"tighter":[156],"certificates":[157],"several":[163],"orders":[164],"magnitude":[166],"higher.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
