{"id":"https://openalex.org/W2789785460","doi":"https://doi.org/10.1109/allerton.2018.8635921","title":"Data-Driven Sparse System Identification","display_name":"Data-Driven Sparse System Identification","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2789785460","doi":"https://doi.org/10.1109/allerton.2018.8635921","mag":"2789785460"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2018.8635921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2018.8635921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.07753v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061966752","display_name":"Salar Fattahi","orcid":"https://orcid.org/0000-0001-7986-3148"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Salar Fattahi","raw_affiliation_strings":["Department of Industrial Engineering, Operations Research, University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Operations Research, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072786751","display_name":"Somayeh Sojoudi","orcid":"https://orcid.org/0000-0001-7177-7712"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Somayeh Sojoudi","raw_affiliation_strings":["Departments of Electrical Engineering and Computer Sciences and Mechanical Engineering, Tsinghua-Berkeley Shenzhen Institute University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Departments of Electrical Engineering and Computer Sciences and Mechanical Engineering, Tsinghua-Berkeley Shenzhen Institute University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061966752"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.19064887,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45959218,"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":"462","last_page":"469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9955000281333923,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.7594524621963501},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.6473994851112366},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6361017227172852},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.522063672542572},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5196163058280945},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.4864909052848816},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4784548282623291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47533512115478516},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4611222445964813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42806458473205566},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42662879824638367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42537280917167664},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.41085392236709595},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33939751982688904},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.33780938386917114},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2575405240058899},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1947086751461029},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.17454707622528076}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7594524621963501},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.6473994851112366},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6361017227172852},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.522063672542572},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5196163058280945},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.4864909052848816},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4784548282623291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47533512115478516},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4611222445964813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42806458473205566},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42662879824638367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42537280917167664},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.41085392236709595},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33939751982688904},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.33780938386917114},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2575405240058899},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1947086751461029},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.17454707622528076},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2018.8635921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2018.8635921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"mag:2789785460","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.07753v1","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}],"best_oa_location":{"id":"mag:2789785460","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.07753v1","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":18,"referenced_works":["https://openalex.org/W1520752838","https://openalex.org/W1980183459","https://openalex.org/W2006862776","https://openalex.org/W2055761669","https://openalex.org/W2068202815","https://openalex.org/W2076199517","https://openalex.org/W2109357213","https://openalex.org/W2796061040","https://openalex.org/W2963578945","https://openalex.org/W4231367092","https://openalex.org/W4235092540","https://openalex.org/W4252099851","https://openalex.org/W6682241100","https://openalex.org/W6682968728","https://openalex.org/W6741955490","https://openalex.org/W6745072325","https://openalex.org/W6754014860","https://openalex.org/W6766053435"],"related_works":["https://openalex.org/W2962741457","https://openalex.org/W2888103878","https://openalex.org/W3185020192","https://openalex.org/W3129638215","https://openalex.org/W1920167102","https://openalex.org/W2487448336","https://openalex.org/W2596633079","https://openalex.org/W2963307262","https://openalex.org/W2774673489","https://openalex.org/W2890489840","https://openalex.org/W3162944394","https://openalex.org/W1613905879","https://openalex.org/W2140156116","https://openalex.org/W3037011488","https://openalex.org/W2342130888","https://openalex.org/W3163452651","https://openalex.org/W3125457605","https://openalex.org/W2168374944","https://openalex.org/W3038099828","https://openalex.org/W2258814563"],"abstract_inverted_index":{"In":[0],"this":[1,133],"paper,":[2],"we":[3,43,116],"study":[4],"the":[5,23,26,54,62,72,79,91,98,101,120,129,141,146,149,170,173],"system":[6,27,55,126,147],"identification":[7,127],"porblem":[8],"for":[9,103,125],"sparse":[10,104],"linear":[11],"time-invariant":[12],"systems.":[13],"We":[14],"propose":[15],"a":[16,30,110],"sparsity":[17,143],"promoting":[18],"Lasso-type":[19],"estimator":[20,93],"to":[21,51,168],"identify":[22],"dynamics":[24],"of":[25,33,64,75,81,88,100,137,140,145,152,172],"with":[28,148],"only":[29],"limited":[31],"number":[32,63,74,87,151],"input-state":[34],"data":[35,47,153],"samples.":[36,154],"Using":[37],"contemporary":[38],"results":[39],"on":[40,158],"high-dimensional":[41],"statistics,":[42],"prove":[44],"that":[45],"$\\Omega(k_{\\max}\\log(m+n))$":[46],"samples":[48,89],"are":[49,61,166],"enough":[50],"reliably":[52],"estimate":[53],"dynamics,":[56],"where":[57],"$n$":[58],"and":[59,66,69,83,106,162],"$m$":[60],"states":[65],"inputs,":[67],"respectively,":[68],"$k_{\\max}$":[70],"is":[71,94,135],"maximum":[73],"nonzero":[76],"elements":[77],"in":[78,90,132],"rows":[80],"input":[82],"state":[84],"matrices.":[85],"The":[86],"developed":[92,131],"significantly":[95],"smaller":[96],"than":[97],"dimension":[99],"problem":[102],"systems,":[105],"yet":[107],"it":[108],"offers":[109],"small":[111],"estimation":[112],"error":[113],"entry-wise.":[114],"Furthermore,":[115],"show":[117],"that,":[118],"unlike":[119],"recently":[121],"celebrated":[122],"least-squares":[123],"estimators":[124],"problems,":[128],"method":[130],"work":[134],"capable":[136],"\\textit{exact":[138],"recovery}":[139],"underlying":[142],"structure":[144],"aforementioned":[150],"Extensive":[155],"case":[156],"studies":[157],"synthetically":[159],"generated":[160],"systems":[161],"physical":[163],"mass-spring":[164],"networks":[165],"offered":[167],"demonstrate":[169],"effectiveness":[171],"proposed":[174],"method.":[175]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
