{"id":"https://openalex.org/W2972627147","doi":"https://doi.org/10.1109/cdc40024.2019.9030173","title":"Nonparametric System identification of Stochastic Switched Linear Systems","display_name":"Nonparametric System identification of Stochastic Switched Linear Systems","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2972627147","doi":"https://doi.org/10.1109/cdc40024.2019.9030173","mag":"2972627147"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030173","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030173","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/1909.04617v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101494685","display_name":"Tuhin Sarkar","orcid":"https://orcid.org/0000-0001-5129-3315"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tuhin Sarkar","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA","Massachusetts Institute of Technology Cambridge, MA 02139"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology Cambridge, MA 02139","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076656836","display_name":"Alexander Rakhlin","orcid":"https://orcid.org/0000-0003-1359-8534"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Rakhlin","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA","Massachusetts Institute of Technology Cambridge, MA 02139"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology Cambridge, MA 02139","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026064656","display_name":"Munther A. Dahleh","orcid":"https://orcid.org/0000-0002-1470-2148"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Munther Dahleh","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA","Massachusetts Institute of Technology Cambridge, MA 02139"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology Cambridge, MA 02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101494685"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.16526525,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48270749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3623","last_page":"3628"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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":0.9993000030517578,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9948999881744385,"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/realization","display_name":"Realization (probability)","score":0.735008716583252},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.731783390045166},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6128419637680054},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5839326977729797},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.5737388134002686},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5531488656997681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5521631240844727},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5477685928344727},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5273588299751282},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.4797022044658661},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.44725093245506287},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.42680448293685913},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42606037855148315},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.4209173321723938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41326162219047546},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3430382013320923},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.22628802061080933},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1769818663597107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13693761825561523},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10412877798080444},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09299778938293457}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.735008716583252},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.731783390045166},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6128419637680054},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5839326977729797},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.5737388134002686},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5531488656997681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5521631240844727},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5477685928344727},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5273588299751282},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4797022044658661},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.44725093245506287},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.42680448293685913},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42606037855148315},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.4209173321723938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41326162219047546},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3430382013320923},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.22628802061080933},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1769818663597107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13693761825561523},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10412877798080444},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09299778938293457},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030173","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030173","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"mag:2972627147","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1909.04617v1","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:dspace.mit.edu:1721.1/129977","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/129977","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"mag:2972627147","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1909.04617v1","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},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W162313310","https://openalex.org/W164910094","https://openalex.org/W658474564","https://openalex.org/W1482732726","https://openalex.org/W1490978409","https://openalex.org/W1547614230","https://openalex.org/W1644055776","https://openalex.org/W1992283848","https://openalex.org/W2046164006","https://openalex.org/W2069170663","https://openalex.org/W2073008033","https://openalex.org/W2074528259","https://openalex.org/W2094554732","https://openalex.org/W2101091453","https://openalex.org/W2106587426","https://openalex.org/W2109957730","https://openalex.org/W2125598711","https://openalex.org/W2148659099","https://openalex.org/W2153495320","https://openalex.org/W2164018763","https://openalex.org/W2167488211","https://openalex.org/W2170581571","https://openalex.org/W2177347332","https://openalex.org/W2621373471","https://openalex.org/W2739268706","https://openalex.org/W2788862106","https://openalex.org/W2803092994","https://openalex.org/W2808559188","https://openalex.org/W2887624223","https://openalex.org/W2895591442","https://openalex.org/W2914473478","https://openalex.org/W2949626452","https://openalex.org/W2965497096","https://openalex.org/W3011447346","https://openalex.org/W3195133498","https://openalex.org/W6729282377","https://openalex.org/W6741955490","https://openalex.org/W6759006153","https://openalex.org/W6800164818","https://openalex.org/W6832629861"],"related_works":["https://openalex.org/W3011596496","https://openalex.org/W3110912999","https://openalex.org/W3084146620","https://openalex.org/W2994460402","https://openalex.org/W3103246646","https://openalex.org/W3149095723","https://openalex.org/W1992054585","https://openalex.org/W2751085181","https://openalex.org/W2969974256"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,6,40,64,86,98],"problem":[3],"of":[4,8,39,78,97],"learning":[5,33],"parameters":[7],"a":[9,34,93],"mean":[10],"square":[11],"stable":[12],"switched":[13],"linear":[14],"systems(SLS)":[15],"with":[16,101],"unknown":[17],"latent":[18],"space":[19],"dimension,":[20],"or":[21],"order,":[22],"from":[23,54,76],"its":[24],"noisy":[25],"input-output":[26],"data.":[27,46],"In":[28],"particular,":[29],"we":[30,83],"focus":[31],"on":[32],"good":[35],"lower":[36],"order":[37],"approximation":[38],"underlying":[41,99],"model":[42,79],"allowed":[43],"by":[44,50],"finite":[45],"This":[47],"is":[48,69],"achieved":[49],"constructing":[51],"Hankel-like":[52],"matrices":[53],"data":[55,71],"and":[56],"obtaining":[57],"suitable":[58],"approximations":[59],"via":[60],"SVD":[61,67],"truncation":[62,68],"where":[63],"threshold":[65],"for":[66,81],"purely":[70],"dependent.":[72],"By":[73],"exploiting":[74],"tools":[75],"theory":[77],"reduction":[80],"SLS,":[82],"find":[84],"that":[85],"system":[87,100],"parameter":[88],"estimates":[89],"are":[90],"close":[91],"to":[92],"balanced":[94],"truncated":[95],"realization":[96],"high":[102],"probability.":[103]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
