{"id":"https://openalex.org/W4387147581","doi":"https://doi.org/10.48550/arxiv.2309.14648","title":"Learning the Uncertainty Sets for Control Dynamics via Set Membership: A Non-Asymptotic Analysis","display_name":"Learning the Uncertainty Sets for Control Dynamics via Set Membership: A Non-Asymptotic Analysis","publication_year":2023,"publication_date":"2023-09-26","ids":{"openalex":"https://openalex.org/W4387147581","doi":"https://doi.org/10.48550/arxiv.2309.14648"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2309.14648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.14648","pdf_url":"https://arxiv.org/pdf/2309.14648","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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2309.14648","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108931953","display_name":"Yingying Li","orcid":"https://orcid.org/0000-0002-2978-908X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Li, Yingying","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100726099","display_name":"Jing Yu","orcid":"https://orcid.org/0000-0002-8694-8948"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu, Jing","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072385558","display_name":"Lauren Conger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Conger, Lauren","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062565732","display_name":"Adam Wierman","orcid":"https://orcid.org/0000-0002-5923-0199"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kargin, Taylan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Wierman, Adam","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wierman, Adam","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108931953"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987999796867371,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987999796867371,"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/T11236","display_name":"Control Systems and Identification","score":0.9939000010490417,"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":0.9810000061988831,"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/robustness","display_name":"Robustness (evolution)","score":0.6751915812492371},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.6056179404258728},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5947981476783752},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5769218802452087},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.545903742313385},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5224010944366455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47687822580337524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46834227442741394},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4620349705219269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4589141607284546},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.42751574516296387},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4182004928588867},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29746317863464355},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2855653166770935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19787278771400452},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09522446990013123}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6751915812492371},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.6056179404258728},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5947981476783752},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5769218802452087},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.545903742313385},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5224010944366455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47687822580337524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46834227442741394},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4620349705219269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4589141607284546},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.42751574516296387},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4182004928588867},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29746317863464355},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2855653166770935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19787278771400452},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09522446990013123},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2309.14648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.14648","pdf_url":"https://arxiv.org/pdf/2309.14648","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":"doi:10.48550/arxiv.2309.14648","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.14648","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2309.14648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.14648","pdf_url":"https://arxiv.org/pdf/2309.14648","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387147581.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2108470770","https://openalex.org/W1512021029","https://openalex.org/W1972862722","https://openalex.org/W2281732014","https://openalex.org/W2063351494","https://openalex.org/W2319803529","https://openalex.org/W1562326332","https://openalex.org/W1550017747","https://openalex.org/W2152839317","https://openalex.org/W2913641967"],"abstract_inverted_index":{"This":[0,74],"paper":[1,41,75],"studies":[2],"uncertainty":[3],"set":[4,44],"estimation":[5,46],"for":[6,14,67,82],"unknown":[7],"linear":[8,68],"systems.":[9],"Uncertainty":[10],"sets":[11],"are":[12],"crucial":[13],"the":[15,24,27,32,58,61,77],"quality":[16],"of":[17,26,36,55,65,87],"robust":[18],"control":[19,28,59],"since":[20],"they":[21],"directly":[22],"influence":[23],"conservativeness":[25],"design.":[29],"Departing":[30],"from":[31],"confidence":[33],"region":[34],"analysis":[35],"least":[37],"squares":[38],"estimation,":[39],"this":[40],"focuses":[42],"on":[43],"membership":[45],"(SME).":[47],"Though":[48],"good":[49],"numerical":[50,95],"performances":[51],"have":[52],"attracted":[53],"applications":[54],"SME":[56,66,83,88],"in":[57],"literature,":[60],"non-asymptotic":[62],"convergence":[63,79],"rate":[64,80],"systems":[69],"remains":[70],"an":[71],"open":[72],"question.":[73],"provides":[76],"first":[78],"bounds":[81],"and":[84],"discusses":[85],"variations":[86],"under":[89],"relaxed":[90],"assumptions.":[91],"We":[92],"also":[93],"provide":[94],"results":[96],"demonstrating":[97],"SME's":[98],"practical":[99],"promise.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
