{"id":"https://openalex.org/W7133233350","doi":"https://doi.org/10.1109/tac.2026.3669443","title":"Myopically Verifiable Probabilistic Certificates for Safe Control and Learning","display_name":"Myopically Verifiable Probabilistic Certificates for Safe Control and Learning","publication_year":2026,"publication_date":"2026-03-02","ids":{"openalex":"https://openalex.org/W7133233350","doi":"https://doi.org/10.1109/tac.2026.3669443"},"language":null,"primary_location":{"id":"doi:10.1109/tac.2026.3669443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2026.3669443","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025098315","display_name":"Z. M. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhuoyuan Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1360-6218","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037434482","display_name":"Haoming Jing","orcid":"https://orcid.org/0009-0009-9324-2669"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haoming Jing","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":"https://orcid.org/0009-0009-9324-2669","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067787636","display_name":"Christian Kurniawan","orcid":"https://orcid.org/0000-0002-3178-4042"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Christian Kurniawan","raw_affiliation_strings":["Information Systems Technology and Design pillar, Singapore University of Technology and Design, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-3178-4042","affiliations":[{"raw_affiliation_string":"Information Systems Technology and Design pillar, Singapore University of Technology and Design, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075762738","display_name":"Albert Chern","orcid":"https://orcid.org/0000-0002-9802-3619"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Albert Chern","raw_affiliation_strings":["Department of Computer Science and Engineering, University of California, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9802-3619","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084147009","display_name":"Yorie Nakahira","orcid":"https://orcid.org/0000-0003-3324-4602"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yorie Nakahira","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3324-4602","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25223051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"6","first_page":"3832","last_page":"3847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.18250000476837158,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.18250000476837158,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.10480000078678131,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.09910000115633011,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6632000207901001},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5253999829292297},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.505299985408783},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4763999879360199},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.42590001225471497},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3817000091075897},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.35690000653266907}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6991000175476074},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6632000207901001},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5253999829292297},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.505299985408783},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4763999879360199},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.42590001225471497},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3817000091075897},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.35690000653266907},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.349700003862381},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.33640000224113464},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3208000063896179},{"id":"https://openalex.org/C132835097","wikidata":"https://www.wikidata.org/wiki/Q7663745","display_name":"System safety","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3005000054836273},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.288100004196167},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C32896092","wikidata":"https://www.wikidata.org/wiki/Q189447","display_name":"Risk management","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.27630001306533813},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2578999996185303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2026.3669443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2026.3669443","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/5","display_name":"Gender equality","score":0.44920381903648376}],"awards":[{"id":"https://openalex.org/G2937444421","display_name":"Control and Adaptation with Provable Safety and Resilience Inspired from the Human Sensorimotor System","funder_award_id":"JPMJPR2136","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G3641894409","display_name":null,"funder_award_id":"N00014-23-1-2252","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3931266155","display_name":"CAREER: Safety, Human-(mis)alignment, and Interaction-awareness in Control","funder_award_id":"2442948","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,88],"paper":[1],"addresses":[2],"the":[3,30,49,57,91,95,100,169,172],"design":[4,114],"of":[5,32,94,97,171],"safety":[6,17,75,139,161],"certificates":[7],"for":[8,56],"stochastic":[9,23],"systems,":[10],"with":[11,117,147],"a":[12,82],"focus":[13],"on":[14],"ensuring":[15],"long-term":[16,42,58,74,106,119,138,160],"through":[18],"fast":[19],"real-time":[20,65],"control.":[21],"In":[22],"environments,":[24],"set":[25],"invariance-based":[26],"methods":[27,135,154],"that":[28,54],"restrict":[29],"probability":[31,96,102],"risk":[33],"events":[34],"in":[35,64,175],"infinitesimal":[36],"time":[37],"intervals":[38],"may":[39,60],"exhibit":[40],"significant":[41],"risks":[43],"due":[44],"to":[45,113,158],"cumulative":[46],"uncertainties/risks.":[47],"On":[48],"other":[50],"hand,":[51],"reachability-based":[52],"approaches":[53],"account":[55],"future":[59],"require":[61],"prohibitive":[62],"computation":[63,77],"decision":[66],"making.":[67],"To":[68],"overcome":[69],"this":[70,108,125],"challenge":[71],"involving":[72],"stringent":[73],"vs.":[76],"tradeoffs,":[78],"we":[79,123,167],"first":[80],"introduce":[81],"novel":[83],"technique":[84,89,109,126],"termed":[85],"\u2018probabilistic":[86],"invariance\u2019.":[87],"characterizes":[90],"invariance":[92],"conditions":[93],"interest.":[98],"When":[99],"target":[101],"is":[103],"defined":[104],"using":[105,140],"trajectories,":[107],"can":[110,155],"be":[111,156],"used":[112,157],"myopic":[115],"conditions/controllers":[116],"assured":[118],"safe":[120,128],"probability.":[121],"Then,":[122],"integrate":[124],"into":[127],"control":[129,134],"and":[130,163],"learning.":[131],"The":[132,151],"proposed":[133,152,173],"efficiently":[136],"assure":[137],"neural":[141],"networks":[142],"or":[143],"model":[144],"predictive":[145],"controllers":[146],"short":[148],"outlook":[149],"horizons.":[150],"learning":[153],"guarantee":[159],"during":[162],"after":[164],"training.":[165],"Finally,":[166],"demonstrate":[168],"performance":[170],"techniques":[174],"numerical":[176],"simulations.":[177]},"counts_by_year":[],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2026-03-03T00:00:00"}