{"id":"https://openalex.org/W4285147822","doi":"https://doi.org/10.1109/lcsys.2022.3186167","title":"Estimation of Infinitesimal Generators for Unknown Stochastic Hybrid Systems via Sampling: A Formal Approach","display_name":"Estimation of Infinitesimal Generators for Unknown Stochastic Hybrid Systems via Sampling: A Formal Approach","publication_year":2022,"publication_date":"2022-06-24","ids":{"openalex":"https://openalex.org/W4285147822","doi":"https://doi.org/10.1109/lcsys.2022.3186167"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2022.3186167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3186167","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5061394007","display_name":"Ameneh Nejati","orcid":"https://orcid.org/0000-0002-9065-1282"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ameneh Nejati","raw_affiliation_strings":["Department of Electrical Engineering, Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9065-1282","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011080021","display_name":"Abolfazl Lavaei","orcid":"https://orcid.org/0000-0003-4993-3170"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Abolfazl Lavaei","raw_affiliation_strings":["Institute for Dynamic Systems and Control, ETH Zurich, Z&#x00FC;rich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-4993-3170","affiliations":[{"raw_affiliation_string":"Institute for Dynamic Systems and Control, ETH Zurich, Z&#x00FC;rich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017334634","display_name":"Sadegh Soudjani","orcid":"https://orcid.org/0000-0003-1922-6678"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sadegh Soudjani","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle upon Tyne, U.K"],"raw_orcid":"https://orcid.org/0000-0003-1922-6678","affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030109984","display_name":"Majid Zamani","orcid":"https://orcid.org/0000-0001-6608-3708"},"institutions":[{"id":"https://openalex.org/I3018771216","display_name":"LMU Klinikum","ror":"https://ror.org/02jet3w32","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Majid Zamani","raw_affiliation_strings":["Department of Computer Science, LMU Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6608-3708","affiliations":[{"raw_affiliation_string":"Department of Computer Science, LMU Munich, Munich, Germany","institution_ids":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061394007"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.243,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50152483,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"7","issue":null,"first_page":"223","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9977999925613403,"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/T11236","display_name":"Control Systems and Identification","score":0.9977999925613403,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9947999715805054,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9794999957084656,"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/discretization","display_name":"Discretization","score":0.7324813604354858},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5176313519477844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.478166401386261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47383126616477966},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.4615459740161896},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.45582422614097595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36855971813201904},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36682581901550293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15553030371665955},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.09336289763450623}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7324813604354858},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5176313519477844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.478166401386261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47383126616477966},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4615459740161896},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.45582422614097595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36855971813201904},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36682581901550293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15553030371665955},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.09336289763450623},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2022.3186167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3186167","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3413121104","display_name":null,"funder_award_id":"EP/V043676/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8984924637","display_name":null,"funder_award_id":"CNS-2145184","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/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W144566684","https://openalex.org/W2020185568","https://openalex.org/W2028470370","https://openalex.org/W2033118636","https://openalex.org/W2040871222","https://openalex.org/W2047671935","https://openalex.org/W2076424721","https://openalex.org/W2095445014","https://openalex.org/W2111990577","https://openalex.org/W2126147754","https://openalex.org/W2546505240","https://openalex.org/W2742351602","https://openalex.org/W2993061841","https://openalex.org/W3023718358","https://openalex.org/W3098651301","https://openalex.org/W3125855560","https://openalex.org/W3153831685","https://openalex.org/W3199571574","https://openalex.org/W4250419630","https://openalex.org/W4250743307","https://openalex.org/W6804757558"],"related_works":["https://openalex.org/W2066091055","https://openalex.org/W2040186499","https://openalex.org/W2390459957","https://openalex.org/W4377003522","https://openalex.org/W2360394982","https://openalex.org/W146891625","https://openalex.org/W4282826086","https://openalex.org/W2386767533","https://openalex.org/W2356629573","https://openalex.org/W2746742710"],"abstract_inverted_index":{"In":[0,111],"this":[1,155],"letter,":[2],"we":[3,95],"develop":[4],"a":[5,50,91,114,143,148,170],"data-driven":[6],"framework":[7,136],"with":[8,23,154,177],"formal":[9],"confidence":[10,87],"bounds":[11],"for":[12,18,113],"the":[13,37,42,46,66,69,73,76,121,127,160],"estimation":[14,122],"of":[15,45,52,57,68,99,105,117,120,162],"infinitesimal":[16,43,77],"generators":[17],"continuous-time":[19],"stochastic":[20],"hybrid":[21],"systems":[22],"unknown":[24],"dynamics.":[25,181],"The":[26,133],"proposed":[27,134,164],"approximation":[28,81,109,135],"scheme":[29],"employs":[30],"both":[31,100],"time":[32,101,128,149],"discretization":[33,102,129,150],"and":[34,40,71,79,103,147],"sampling":[35],"from":[36,55],"solution":[38,47],"process,":[39],"estimates":[41],"generator":[44,78],"process":[48],"via":[49],"set":[51],"data":[53,106,145],"collected":[54],"trajectories":[56],"systems.":[58],"We":[59,158],"assume":[60],"some":[61],"mild":[62],"continuity":[63],"assumptions":[64],"on":[65],"dynamics":[67],"system":[70],"quantify":[72],"closeness":[74,93],"between":[75],"its":[80],"while":[82],"ensuring":[83],"an":[84],"a-priori":[85],"guaranteed":[86],"bound.":[88],"To":[89],"provide":[90],"reasonable":[92],"precision,":[94],"discuss":[96],"significant":[97],"roles":[98],"number":[104,116],"in":[107],"our":[108,163],"scheme.":[110],"particular,":[112],"fixed":[115],"data,":[118],"variance":[119],"converges":[123],"to":[124,131,140,152,169],"infinity":[125],"when":[126],"goes":[130],"zero.":[132],"guides":[137],"us":[138],"how":[139],"jointly":[141],"select":[142],"suitable":[144],"size":[146],"parameter":[151],"cope":[153],"counter-intuitive":[156],"behavior.":[157],"demonstrate":[159],"effectiveness":[161],"results":[165],"by":[166],"applying":[167],"them":[168],"<italic":[171,178],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[172,179],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">nonlinear</i>":[173],"jet":[174],"engine":[175],"compressor":[176],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">unknown</i>":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
