{"id":"https://openalex.org/W2962826447","doi":"https://doi.org/10.1109/ita.2014.6804267","title":"Precise semidefinite programming formulation of atomic norm minimization for recovering d-dimensional (D ≥ 2) off-the-grid frequencies","display_name":"Precise semidefinite programming formulation of atomic norm minimization for recovering d-dimensional (D ≥ 2) off-the-grid frequencies","publication_year":2014,"publication_date":"2014-02-01","ids":{"openalex":"https://openalex.org/W2962826447","doi":"https://doi.org/10.1109/ita.2014.6804267","mag":"2962826447"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2014.6804267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2014.6804267","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-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/A5101767475","display_name":"Weiyu Xu","orcid":"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":["The University of Iowa, Iowa City, IA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, IA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057913701","display_name":"Jian\u2010Feng Cai","orcid":"https://orcid.org/0000-0003-2571-570X"},"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":"Jian-Feng Cai","raw_affiliation_strings":["The University of Iowa, Iowa City, IA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, IA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082119521","display_name":"Kumar Vijay Mishra","orcid":"https://orcid.org/0000-0002-5386-609X"},"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":"Kumar Vijay Mishra","raw_affiliation_strings":["The University of Iowa, Iowa City, IA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, IA","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"},"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":"Myung Cho","raw_affiliation_strings":["The University of Iowa, Iowa City, IA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, IA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070911645","display_name":"Anton Kruger","orcid":"https://orcid.org/0000-0001-6626-4525"},"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":"Anton Kruger","raw_affiliation_strings":["The University of Iowa, Iowa City, IA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, IA","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101767475"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":null,"apc_paid":null,"fwci":7.8845,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.9813334,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/semidefinite-programming","display_name":"Semidefinite programming","score":0.9158738851547241},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.7572987079620361},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6940977573394775},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6720288991928101},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6043902635574341},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4636242389678955},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44599252939224243},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.417485773563385},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.4157082140445709},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40921688079833984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37308499217033386},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0651502013206482}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.9158738851547241},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.7572987079620361},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6940977573394775},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6720288991928101},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6043902635574341},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4636242389678955},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44599252939224243},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.417485773563385},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.4157082140445709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40921688079833984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37308499217033386},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0651502013206482},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ita.2014.6804267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2014.6804267","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-72260","is_oa":false,"landing_page_url":"https://repository.hkust.edu.hk/ir/Record/1783.1-72260","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,"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":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309434","display_name":"University of Wisconsin-Madison","ror":"https://ror.org/01y2jtd41"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W622930292","https://openalex.org/W1972864304","https://openalex.org/W1983127118","https://openalex.org/W1998590909","https://openalex.org/W2039479881","https://openalex.org/W2045110278","https://openalex.org/W2053366386","https://openalex.org/W2066459185","https://openalex.org/W2088091873","https://openalex.org/W2123457453","https://openalex.org/W2133285942","https://openalex.org/W2167077875","https://openalex.org/W2296616510","https://openalex.org/W2565293665","https://openalex.org/W2952572605","https://openalex.org/W2962786165","https://openalex.org/W2964325628","https://openalex.org/W3106271742","https://openalex.org/W3124617746","https://openalex.org/W4205092608","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W2158224665","https://openalex.org/W2379589510","https://openalex.org/W2389430631","https://openalex.org/W4300044672","https://openalex.org/W2810730439","https://openalex.org/W1881631164","https://openalex.org/W1983756092","https://openalex.org/W2237649730","https://openalex.org/W2208932071","https://openalex.org/W2386048074"],"abstract_inverted_index":{"Recent":[0],"research":[1,52],"in":[2,39,48,73],"off-the-grid":[3,81,108],"compressed":[4],"sensing":[5],"(CS)":[6],"has":[7],"demonstrated":[8],"that,":[9],"under":[10],"certain":[11],"conditions,":[12],"one":[13],"can":[14],"successfully":[15],"recover":[16,42,101],"a":[17,22],"spectrally":[18,44],"sparse":[19,45],"signal":[20],"from":[21],"few":[23],"time-domain":[24],"samples":[25],"even":[26],"though":[27],"the":[28],"dictionary":[29],"is":[30],"continuous.":[31],"In":[32,83],"particular,":[33],"atomic":[34,70,97],"norm":[35,71,98],"minimization":[36,72,99],"was":[37,56],"proposed":[38],"[1]":[40],"to":[41,62,100],"1-dimensional":[43],"signal.":[46],"However,":[47],"spite":[49],"of":[50,96],"existing":[51],"efforts":[53],"[2],":[54],"it":[55],"still":[57],"an":[58,64],"open":[59],"problem":[60,89],"how":[61],"formulate":[63],"equivalent":[65,92],"positive":[66],"semidefinite":[67,93],"program":[68],"for":[69],"recovering":[74],"signals":[75,102],"with":[76,103],"d-dimensional":[77,104],"(d":[78,105],"\u2265":[79,106],"2)":[80,107],"frequencies.":[82,109],"this":[84,88],"paper,":[85],"we":[86],"settle":[87],"by":[90],"proposing":[91],"programming":[94],"formulations":[95]},"counts_by_year":[{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-07-30T00:00:00"}