{"id":"https://openalex.org/W2914506601","doi":"https://doi.org/10.1109/cdc.2018.8619646","title":"Data-Driven Estimation of Backward Reachable and Invariant Sets for Unmodeled Systems via Active Learning","display_name":"Data-Driven Estimation of Backward Reachable and Invariant Sets for Unmodeled Systems via Active Learning","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2914506601","doi":"https://doi.org/10.1109/cdc.2018.8619646","mag":"2914506601"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619646","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 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/A5074220429","display_name":"Ankush Chakrabarty","orcid":"https://orcid.org/0000-0001-9637-854X"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ankush Chakrabarty","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038062267","display_name":"Arvind U. Raghunathan","orcid":"https://orcid.org/0000-0003-3173-3875"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arvind Raghunathan","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004144091","display_name":"Stefano Di Cairano","orcid":"https://orcid.org/0000-0002-2363-2807"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stefano Di Cairano","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072891938","display_name":"Claus Danielson","orcid":"https://orcid.org/0000-0002-2317-3014"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claus Danielson","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074220429"],"corresponding_institution_ids":["https://openalex.org/I4210159266"],"apc_list":null,"apc_paid":null,"fwci":1.3031,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.85827142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"372","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9984999895095825,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9984999895095825,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.996999979019165,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6434844136238098},{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.6328150033950806},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6317331790924072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6089138388633728},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5886222124099731},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.46344971656799316},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4447157382965088},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4343239963054657},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4269099235534668},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3881013095378876},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38272976875305176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36890581250190735},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3231414556503296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2855198085308075},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18762320280075073}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6434844136238098},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.6328150033950806},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6317331790924072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6089138388633728},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5886222124099731},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.46344971656799316},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4447157382965088},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4343239963054657},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4269099235534668},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3881013095378876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38272976875305176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36890581250190735},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3231414556503296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2855198085308075},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18762320280075073},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2018.8619646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619646","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1528301553","https://openalex.org/W1528361845","https://openalex.org/W1680189815","https://openalex.org/W1912128066","https://openalex.org/W1964307222","https://openalex.org/W1978956894","https://openalex.org/W1980989469","https://openalex.org/W1997783035","https://openalex.org/W2001041931","https://openalex.org/W2021313930","https://openalex.org/W2021774297","https://openalex.org/W2025669802","https://openalex.org/W2035303393","https://openalex.org/W2085989833","https://openalex.org/W2104848109","https://openalex.org/W2126274226","https://openalex.org/W2132948751","https://openalex.org/W2143996311","https://openalex.org/W2152511979","https://openalex.org/W2320868965","https://openalex.org/W2620128872","https://openalex.org/W2789138704","https://openalex.org/W2951911250","https://openalex.org/W2963009856","https://openalex.org/W4285719527","https://openalex.org/W6639808567","https://openalex.org/W6679716015"],"related_works":["https://openalex.org/W1595919516","https://openalex.org/W2945022594","https://openalex.org/W2966531942","https://openalex.org/W2194604332","https://openalex.org/W4379619607","https://openalex.org/W4386185001","https://openalex.org/W2896347948","https://openalex.org/W2950500962","https://openalex.org/W2915041254","https://openalex.org/W4302557420"],"abstract_inverted_index":{"Ensuring":[0],"control":[1],"performance":[2,99],"with":[3],"state":[4,54,73,154],"and":[5,15,124],"input":[6],"constraints":[7],"is":[8,49,100,112,162],"facilitated":[9],"by":[10,60],"the":[11,77,97,104,137,145,159],"understanding":[12],"of":[13,118,139,158],"reachable":[14],"invariant":[16,146],"sets.":[17],"While":[18],"exploiting":[19],"dynamical":[20],"models":[21],"have":[22],"provided":[23],"many":[24],"set-based":[25,31],"algorithms":[26],"for":[27,89,143],"constructing":[28,144],"these":[29],"sets,":[30],"methods":[32],"typically":[33],"do":[34],"not":[35],"scale":[36],"well,":[37],"or":[38,44],"rely":[39],"heavily":[40],"on":[41],"model":[42],"accuracy":[43],"structure.":[45],"In":[46,107],"contrast,":[47],"it":[48],"relatively":[50],"simple":[51],"to":[52,103,114,127,152],"generate":[53],"trajectories":[55],"in":[56],"a":[57,165],"data-driven":[58],"manner":[59],"numerically":[61],"simulating":[62],"complex":[63],"systems":[64],"from":[65,69],"initial":[66],"conditions":[67],"sampled":[68],"within":[70],"an":[71],"admissible":[72],"space,":[74],"even":[75],"if":[76],"underlying":[78],"dynamics":[79],"are":[80,121],"completely":[81],"unknown.":[82],"These":[83],"samples":[84,119,130],"can":[85],"then":[86],"be":[87],"leveraged":[88],"reachable/invariant":[90],"set":[91,147],"estimation":[92],"via":[93,131,164],"machine":[94],"learning,":[95],"although":[96],"learning":[98,111],"strongly":[101],"linked":[102],"sampling":[105,135],"pattern.":[106],"this":[108],"paper,":[109],"active":[110],"employed":[113],"intelligently":[115],"select":[116],"batches":[117],"that":[120],"most":[122],"informative":[123],"least":[125],"redundant":[126],"previously":[128],"labeled":[129],"submodular":[132],"maximization.":[133],"Selective":[134],"reduces":[136],"number":[138],"numerical":[140,166],"simulations":[141],"required":[142],"estimator,":[148],"thereby":[149],"enhancing":[150],"scalability":[151],"higher-dimensional":[153],"spaces.":[155],"The":[156],"potential":[157],"proposed":[160],"framework":[161],"illustrated":[163],"example.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
