{"id":"https://openalex.org/W3125636723","doi":"https://doi.org/10.1109/tac.2021.3131149","title":"Risk-Sensitive Safety Analysis Using Conditional Value-at-Risk","display_name":"Risk-Sensitive Safety Analysis Using Conditional Value-at-Risk","publication_year":2021,"publication_date":"2021-11-26","ids":{"openalex":"https://openalex.org/W3125636723","doi":"https://doi.org/10.1109/tac.2021.3131149","mag":"3125636723"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3131149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3131149","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.12086","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009559667","display_name":"Margaret P. Chapman","orcid":"https://orcid.org/0000-0002-2483-6545"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Margaret P. Chapman","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","University of Toronto"],"raw_orcid":"https://orcid.org/0000-0002-2483-6545","affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011388253","display_name":"Riccardo Bonalli","orcid":"https://orcid.org/0000-0003-2561-1804"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210116658","display_name":"\u00c9cole Centrale d'\u00c9lectronique","ror":"https://ror.org/02k6n4s14","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210116658"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Riccardo Bonalli","raw_affiliation_strings":["Laboratory of Signals and Systems (L2S), Universit&#x00E9; Paris-Saclay, Centre National de la Recherche Scientifique (CNRS), CentraleSup&#x00E9;lec, France","ECOLE CENTRALE PARIS"],"raw_orcid":"https://orcid.org/0000-0003-2561-1804","affiliations":[{"raw_affiliation_string":"Laboratory of Signals and Systems (L2S), Universit&#x00E9; Paris-Saclay, Centre National de la Recherche Scientifique (CNRS), CentraleSup&#x00E9;lec, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ECOLE CENTRALE PARIS","institution_ids":["https://openalex.org/I4210116658"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074394976","display_name":"Kevin M. Smith","orcid":"https://orcid.org/0000-0002-8026-8917"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin M. Smith","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Tufts University, Medford, MA, USA","Tufts University"],"raw_orcid":"https://orcid.org/0000-0002-8026-8917","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]},{"raw_affiliation_string":"Tufts University","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063507594","display_name":"Insoon Yang","orcid":"https://orcid.org/0000-0001-5887-6169"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Insoon Yang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Automation and Systems Research Institute, Seoul National University, Seoul, South Korea","Seoul National Univ.#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-5887-6169","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Automation and Systems Research Institute, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Seoul National Univ.#TAB#","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050003000","display_name":"Marco Pavone","orcid":"https://orcid.org/0000-0002-0206-4337"},"institutions":[{"id":"https://openalex.org/I13805885","display_name":"Vaughn College of Aeronautics and Technology","ror":"https://ror.org/056e22e24","country_code":"US","type":"education","lineage":["https://openalex.org/I13805885"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marco Pavone","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, USA","Stanford University ()"],"raw_orcid":"https://orcid.org/0000-0002-0206-4337","affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I13805885","https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University ()","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045155646","display_name":"Claire J. Tomlin","orcid":"https://orcid.org/0000-0003-3192-3185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California Berkeley, Berkeley, CA, USA","University of California\u2013Berkeley"],"raw_orcid":"https://orcid.org/0000-0003-3192-3185","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California\u2013Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5009559667"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":1.2537,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79790677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"67","issue":"12","first_page":"6521","last_page":"6536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9980999827384949,"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":0.9980999827384949,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9979000091552734,"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/T11357","display_name":"Risk and Safety Analysis","score":0.9891999959945679,"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/cvar","display_name":"CVAR","score":0.8663081526756287},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6399252414703369},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5661513209342957},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5552473068237305},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5216477513313293},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.5022592544555664},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.46781325340270996},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4579961895942688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45579585433006287},{"id":"https://openalex.org/keywords/dynamic-risk-measure","display_name":"Dynamic risk measure","score":0.44906488060951233},{"id":"https://openalex.org/keywords/expected-shortfall","display_name":"Expected shortfall","score":0.42209839820861816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42162367701530457},{"id":"https://openalex.org/keywords/risk-management","display_name":"Risk management","score":0.32755550742149353},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1330682635307312}],"concepts":[{"id":"https://openalex.org/C2779922397","wikidata":"https://www.wikidata.org/wiki/Q5014755","display_name":"CVAR","level":4,"score":0.8663081526756287},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6399252414703369},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5661513209342957},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5552473068237305},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5216477513313293},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.5022592544555664},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.46781325340270996},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4579961895942688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45579585433006287},{"id":"https://openalex.org/C167548438","wikidata":"https://www.wikidata.org/wiki/Q5319012","display_name":"Dynamic risk measure","level":4,"score":0.44906488060951233},{"id":"https://openalex.org/C5496284","wikidata":"https://www.wikidata.org/wiki/Q5420856","display_name":"Expected shortfall","level":3,"score":0.42209839820861816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42162367701530457},{"id":"https://openalex.org/C32896092","wikidata":"https://www.wikidata.org/wiki/Q189447","display_name":"Risk management","level":2,"score":0.32755550742149353},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1330682635307312},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tac.2021.3131149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3131149","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:arXiv.org:2101.12086","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.12086","pdf_url":"https://arxiv.org/pdf/2101.12086","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3125636723","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2101.12086","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03467256v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-03467256","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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, 2021, pp.1-1. &#x27E8;10.1109/TAC.2021.3131149&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-04305360v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04305360","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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, 2022, &#x27E8;10.1109/tac.2021.3131149&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.2101.12086","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.12086","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.12086","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.12086","pdf_url":"https://arxiv.org/pdf/2101.12086","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation"}],"awards":[{"id":"https://openalex.org/G4433798444","display_name":null,"funder_award_id":"NSF PIRE UNIV59732","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G6962068029","display_name":null,"funder_award_id":"NSF-NRT 2021874","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G7556873420","display_name":null,"funder_award_id":"1U54CA209988-01A1","funder_id":"https://openalex.org/F4320309233","funder_display_name":"Oregon Health and Science University"}],"funders":[{"id":"https://openalex.org/F4320309233","display_name":"Oregon Health and Science University","ror":"https://ror.org/009avj582"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W601863383","https://openalex.org/W1541527977","https://openalex.org/W1545761024","https://openalex.org/W1553283060","https://openalex.org/W1557270667","https://openalex.org/W1587828677","https://openalex.org/W1589395967","https://openalex.org/W1855555568","https://openalex.org/W1992042070","https://openalex.org/W1997933673","https://openalex.org/W2001009060","https://openalex.org/W2001697694","https://openalex.org/W2006557476","https://openalex.org/W2008626343","https://openalex.org/W2010654234","https://openalex.org/W2019291268","https://openalex.org/W2024113512","https://openalex.org/W2027106436","https://openalex.org/W2027591506","https://openalex.org/W2037197628","https://openalex.org/W2044223164","https://openalex.org/W2060183035","https://openalex.org/W2064721129","https://openalex.org/W2065798383","https://openalex.org/W2073280806","https://openalex.org/W2075090252","https://openalex.org/W2080813827","https://openalex.org/W2084772009","https://openalex.org/W2088413745","https://openalex.org/W2089786171","https://openalex.org/W2096035449","https://openalex.org/W2106816694","https://openalex.org/W2116364955","https://openalex.org/W2121069325","https://openalex.org/W2128347943","https://openalex.org/W2136013738","https://openalex.org/W2154136656","https://openalex.org/W2160769068","https://openalex.org/W2164522996","https://openalex.org/W2200377579","https://openalex.org/W2266738696","https://openalex.org/W2296319761","https://openalex.org/W2582119505","https://openalex.org/W2582186538","https://openalex.org/W2595217965","https://openalex.org/W2767265045","https://openalex.org/W2807455070","https://openalex.org/W2894033912","https://openalex.org/W2922632029","https://openalex.org/W2963286335","https://openalex.org/W2963590277","https://openalex.org/W2963606896","https://openalex.org/W2964219244","https://openalex.org/W2972404875","https://openalex.org/W3016603946","https://openalex.org/W3020371095","https://openalex.org/W3124407081","https://openalex.org/W3125145310","https://openalex.org/W3153013517","https://openalex.org/W3200973276","https://openalex.org/W4229984434","https://openalex.org/W4247165901","https://openalex.org/W4250589301","https://openalex.org/W6617021176","https://openalex.org/W6755607187","https://openalex.org/W6777437209","https://openalex.org/W6801473236","https://openalex.org/W6806961419"],"related_works":["https://openalex.org/W2972404875","https://openalex.org/W2200377579","https://openalex.org/W1975719635","https://openalex.org/W2914558553","https://openalex.org/W3026746387","https://openalex.org/W3091341222","https://openalex.org/W3146215648","https://openalex.org/W3098129903","https://openalex.org/W2092660864","https://openalex.org/W3196705936","https://openalex.org/W2069981728","https://openalex.org/W2241775240","https://openalex.org/W3160598148","https://openalex.org/W3185159669","https://openalex.org/W2105707529","https://openalex.org/W2804343240","https://openalex.org/W2810764416","https://openalex.org/W2196620106","https://openalex.org/W2097359823","https://openalex.org/W2887809677"],"abstract_inverted_index":{"This":[0,73],"article":[1],"develops":[2],"a":[3,35,41,67,107,118,130,159,168,176,188],"safetyanalysis":[4],"method":[5,105,170],"for":[6,86,149,162,171],"stochastic":[7],"systems":[8],"that":[9],"is":[10,45,75,88,94,143,183,194],"sensitive":[11],"to":[12,34,79,95,100,114,124,136,145],"the":[13,32,55,62,83,115,122,126,134,147],"possibility":[14],"and":[15,166],"severity":[16],"of":[17,31,58,61,70,117,152,187],"rare":[18],"harmful":[19],"outcomes.":[20],"We":[21,198],"define":[22],"<italic":[23],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">risk-sensitive":[25],"safe":[26,102,164],"sets</i>":[27],"as":[28],"sublevel":[29],"sets":[30,165],"solution":[33,135],"nonstandard":[36],"optimal":[37],"control":[38],"problem,":[39],"where":[40],"random":[42],"maximum":[43,56,119],"cost":[44,120],"assessed":[46],"via":[47,204],"Conditional":[48],"Value-at-Risk":[49],"(CVaR).":[50],"The":[51,180],"objective":[52],"function":[53],"represents":[54],"extent":[57],"constraint":[59],"violation":[60],"state":[63,127],"trajectory,":[64],"averaged":[65],"over":[66],"given":[68],"percentage":[69],"worst":[71],"cases.":[72],"problem":[74,142],"well-motivated":[76],"but":[77],"difficult":[78],"solve":[80],"tractably":[81],"because":[82],"temporal":[84],"decomposition":[85],"CVaR":[87,116],"history-dependent.":[89],"Our":[90,104],"primary":[91,201],"theoretical":[92,202],"contribution":[93,203],"derive":[96],"computationally":[97],"tractable":[98,169],"underapproximations":[99,148],"risk-sensitive":[101,163],"sets.":[103],"provides":[106],"novel,":[108],"theoretically":[109],"guaranteed,":[110],"parameter-dependent":[111,177],"upper":[112,178],"bound":[113],"without":[121,174],"need":[123],"augment":[125],"space.":[128],"For":[129],"fixed":[131],"parameter":[132],"value,":[133],"only":[137],"one":[138],"Markov":[139],"decision":[140],"process":[141],"required":[144],"obtain":[146],"any":[150],"family":[151],"risk-sensitivity":[153],"levels.":[154],"In":[155],"addition,":[156],"we":[157],"propose":[158],"second":[160,181],"definition":[161,182],"provide":[167],"their":[172],"estimation":[173],"using":[175],"bound.":[179],"expressed":[184],"in":[185],"terms":[186],"new":[189],"coherent":[190],"risk":[191],"functional,":[192],"which":[193],"inspired":[195],"by":[196],"CVaR.":[197],"demonstrate":[199],"our":[200],"numerical":[205],"examples.":[206]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
