{"id":"https://openalex.org/W4385964340","doi":"https://doi.org/10.1093/imaiai/iaad033","title":"Separation-free super-resolution from compressed measurements is possible: an orthonormal atomic norm minimization approach","display_name":"Separation-free super-resolution from compressed measurements is possible: an orthonormal atomic norm minimization approach","publication_year":2023,"publication_date":"2023-04-27","ids":{"openalex":"https://openalex.org/W4385964340","doi":"https://doi.org/10.1093/imaiai/iaad033"},"language":"en","primary_location":{"id":"doi:10.1093/imaiai/iaad033","doi":"https://doi.org/10.1093/imaiai/iaad033","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imaiai/iaad033","pdf_url":null,"source":{"id":"https://openalex.org/S2734669121","display_name":"Information and Inference A Journal of the IMA","issn_l":"2049-8764","issn":["2049-8764","2049-8772"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-2","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Inference: A Journal of the IMA","raw_type":"journal-article"},"volume":null,"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/A5062719102","display_name":"Jirong Yi","orcid":"https://orcid.org/0000-0002-3106-4715","observed_orcids":["https://orcid.org/0000-0002-3106-4715"]},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jirong Yi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa , Iowa City, IA 52242 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa , Iowa City, IA 52242 , USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003042086","display_name":"Soura Dasgupta","orcid":"https://orcid.org/0000-0001-6633-2938","observed_orcids":["https://orcid.org/0000-0001-6633-2938"]},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Soura Dasgupta","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa , Iowa City, IA 52242 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa , Iowa City, IA 52242 , USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057913701","display_name":"Jian-feng Cai A","orcid":"https://orcid.org/0000-0003-2571-570X","observed_orcids":["https://orcid.org/0000-0003-2571-570X"]},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jian-Feng Cai","raw_affiliation_strings":["Department of Mathematics, Hong Kong University of Science and Technology , Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong University of Science and Technology , Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072299998","display_name":"Mathews Jacob","orcid":"https://orcid.org/0000-0001-6196-3933","observed_orcids":["https://orcid.org/0000-0001-6196-3933"]},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mathews Jacob","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa, Iowa City , IA 52242 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa, Iowa City , IA 52242 , USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009673378","display_name":"Jingchao Gao","orcid":"https://orcid.org/0009-0006-5023-9249","observed_orcids":["https://orcid.org/0009-0006-5023-9249"]},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jingchao Gao","raw_affiliation_strings":["Applied Mathematical and Computational Sciences, University of Iowa , Iowa City, IA 52242 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematical and Computational Sciences, University of Iowa , Iowa City, IA 52242 , USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103181623","display_name":"Myung Cho","orcid":"https://orcid.org/0000-0002-2383-3481","observed_orcids":["https://orcid.org/0000-0002-2383-3481"]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]},{"id":"https://openalex.org/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Myung Cho","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Behrend College, Penn State University , Erie, PA, 16563, and California State University, Northridge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Behrend College, Penn State University , Erie, PA, 16563, and California State University, Northridge","institution_ids":["https://openalex.org/I130769515","https://openalex.org/I157638225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101767475","display_name":"Weiyu Xu","orcid":"https://orcid.org/0000-0003-4256-6072","observed_orcids":["https://orcid.org/0000-0003-4256-6072"]},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weiyu Xu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa , Iowa City, IA 52242 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa , Iowa City, IA 52242 , USA","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101767475"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3212},"apc_paid":null,"fwci":0.2795,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.41819186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"12","issue":"3","first_page":"2351","last_page":"2405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.0032999999821186066,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/super-resolution","display_name":"super-resolution","score":0.8149999976158142},{"id":"https://openalex.org/keywords/atomic-norm-minimization","display_name":"atomic norm minimization","score":0.8669999837875366},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"compressed sensing","score":0.6669999957084656},{"id":"https://openalex.org/keywords/complex-exponentials","display_name":"complex exponentials","score":0.6579999923706055},{"id":"https://openalex.org/keywords/frequency-estimation","display_name":"frequency estimation","score":0.5899999737739563},{"id":"https://openalex.org/keywords/total-variation-minimization","display_name":"total variation minimization","score":0.7760000228881836},{"id":"https://openalex.org/keywords/parameter-separation","display_name":"parameter separation","score":0.4350000023841858}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.8188880681991577},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.613314151763916},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6093984246253967},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5947075486183167},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5825991034507751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5225041508674622},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4796314835548401},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.45028525590896606},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4443521499633789},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4194621741771698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.296716570854187},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2852502465248108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1815587878227234},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12529116868972778},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1118479073047638},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imaiai/iaad033","doi":"https://doi.org/10.1093/imaiai/iaad033","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imaiai/iaad033","pdf_url":null,"source":{"id":"https://openalex.org/S2734669121","display_name":"Information and Inference A Journal of the IMA","issn_l":"2049-8764","issn":["2049-8764","2049-8772"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-2","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Inference: A Journal of the IMA","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-129119","doi":null,"is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=2049-8764&rft.volume=12&rft.issue=3&rft.date=2023&rft.spage=&rft.aulast=Yi&rft.aufirst=Jir&rft.atitle=Separation-free+super-resolution+from+compressed+measurements+is+possible%3A+an+orthonormal+atomic+norm+minimization+approach&rft.title=INFORMATION+AND+INFERENCE-A+JOURNAL+OF+THE+IMA","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1550380688","https://openalex.org/W1559478034","https://openalex.org/W1937620887","https://openalex.org/W1938444229","https://openalex.org/W1978356474","https://openalex.org/W2009006054","https://openalex.org/W2020255126","https://openalex.org/W2025086029","https://openalex.org/W2030098194","https://openalex.org/W2047071281","https://openalex.org/W2047985687","https://openalex.org/W2056145308","https://openalex.org/W2060929722","https://openalex.org/W2064771273","https://openalex.org/W2065656021","https://openalex.org/W2078524554","https://openalex.org/W2101675075","https://openalex.org/W2103972604","https://openalex.org/W2107901290","https://openalex.org/W2109163609","https://openalex.org/W2118550318","https://openalex.org/W2123457453","https://openalex.org/W2126625374","https://openalex.org/W2128131274","https://openalex.org/W2134332047","https://openalex.org/W2141116650","https://openalex.org/W2145096794","https://openalex.org/W2167077875","https://openalex.org/W2325477568","https://openalex.org/W2565293665","https://openalex.org/W2598746244","https://openalex.org/W2611328865","https://openalex.org/W2749661564","https://openalex.org/W2962694024","https://openalex.org/W2963733763","https://openalex.org/W2963746586","https://openalex.org/W2964118433","https://openalex.org/W3022331578","https://openalex.org/W3106271742","https://openalex.org/W4229706427","https://openalex.org/W4236691894","https://openalex.org/W4250955649","https://openalex.org/W4255333822","https://openalex.org/W6643484007","https://openalex.org/W7030295306"],"related_works":["https://openalex.org/W2963875218","https://openalex.org/W2963733763","https://openalex.org/W4392302641","https://openalex.org/W1835327556","https://openalex.org/W7098754959","https://openalex.org/W2964106337","https://openalex.org/W2963326253","https://openalex.org/W2963299038","https://openalex.org/W2612326314","https://openalex.org/W7098577755"],"abstract_inverted_index":{"Abstract":[0],"We":[1,112],"consider":[2],"the":[3,7,31,35,39,58,62,64,76,84,91,126,137,140,162,176,184,191,196,202,228],"problem":[4],"of":[5,9,103,117,128,143,212,220,230],"recovering":[6],"superposition":[8],"$R$":[10,36,66,92],"distinct":[11],"complex":[12,93],"exponential":[13],"functions":[14],"from":[15,98,136],"compressed":[16,99,231],"non-uniform":[17,100],"time-domain":[18],"samples.":[19],"Total":[20],"variation":[21],"(TV)":[22],"minimization":[23,27,51,55,121],"or":[24,38,61],"atomic":[25,53,119,150,159],"norm":[26,54,120,142,160],"was":[28],"proposed":[29],"in":[30,47,132,157],"literature":[32],"to":[33,56,70,109,170,183],"recover":[34,57],"frequencies":[37,67,97,107],"missing":[40,59],"data.":[41],"However,":[42],"it":[43,193],"is":[44,147,194,198],"known":[45],"that":[46,83,125,139],"order":[48],"for":[49,190],"TV":[50],"and":[52,95,123,223],"data":[60],"frequencies,":[63],"underlying":[65,163],"are":[68,78,108,178],"required":[69],"be":[71,167,206],"well":[72,168],"separated,":[73],"even":[74,200],"when":[75],"measurements":[77],"noiseless.":[79],"This":[80],"paper":[81],"shows":[82],"Hankel":[85,129,145],"matrix":[86,130,146],"recovery":[87,131],"approach":[88],"can":[89,205],"super-resolve":[90],"exponentials":[94],"their":[96,106],"measurements,":[101],"regardless":[102],"how":[104],"close":[105],"each":[110],"other.":[111],"propose":[113],"a":[114,144,210],"new":[115],"concept":[116],"orthonormal":[118,149],"(OANM),":[122],"demonstrate":[124],"success":[127],"separation-free":[133],"super-resolution":[134],"comes":[135],"fact":[138],"nuclear":[141,221],"an":[148],"norm.":[151],"More":[152],"specifically,":[153],"we":[154,215],"show":[155],"that,":[156],"traditional":[158],"minimization,":[161],"parameter":[164],"values":[165],"must":[166],"separated":[169],"achieve":[171],"successful":[172,199],"signal":[173],"recovery,":[174],"if":[175],"atoms":[177,204],"changing":[179],"continuously":[180,185],"with":[181],"respect":[182],"valued":[186],"parameter.":[187],"In":[188],"contrast,":[189],"OANM,":[192],"possible":[195],"OANM":[197],"though":[201],"original":[203],"arbitrarily":[207],"close.":[208],"As":[209],"byproduct":[211],"this":[213],"research,":[214],"provide":[216],"one":[217],"matrix-theoretic":[218],"inequality":[219],"norm,":[222],"give":[224],"its":[225],"proof":[226],"using":[227],"theory":[229],"sensing.":[232]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2023-08-18T00:00:00"}
