{"id":"https://openalex.org/W2004837810","doi":"https://doi.org/10.1109/isit.2012.6283718","title":"The &amp;#x2113;&lt;inf&gt;1&lt;/inf&gt; analysis approach by sparse dual frames for sparse signal recovery represented by frames","display_name":"The &amp;#x2113;&lt;inf&gt;1&lt;/inf&gt; analysis approach by sparse dual frames for sparse signal recovery represented by frames","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2004837810","doi":"https://doi.org/10.1109/isit.2012.6283718","mag":"2004837810"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2012.6283718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6283718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},"type":"conference-paper","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/A5037650979","display_name":"Tiebin Mi","orcid":"https://orcid.org/0000-0001-6758-116X"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tiebin Mi","raw_affiliation_strings":["School of Information, Renmin University of China, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101747634","display_name":"Shidong Li","orcid":"https://orcid.org/0000-0003-1446-2081"},"institutions":[{"id":"https://openalex.org/I71838634","display_name":"San Francisco State University","ror":"https://ror.org/05ykr0121","country_code":"US","type":"education","lineage":["https://openalex.org/I71838634"]},{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Shidong Li","raw_affiliation_strings":["Department of Mathematics, San Francisco State University, San Francisco, CA, USA","School of Information, Renmin University of China, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, San Francisco State University, San Francisco, CA, USA","institution_ids":["https://openalex.org/I71838634"]},{"raw_affiliation_string":"School of Information, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100431018","display_name":"Yulong Liu","orcid":"https://orcid.org/0000-0002-4045-2306"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yulong Liu","raw_affiliation_strings":["School of Information, Renmin University of China, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2037","last_page":"2041"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9995999932289124,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/dual","display_name":"Dual (grammatical number)","score":0.8026628494262695},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.7668068408966064},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.7579212188720703},{"id":"https://openalex.org/keywords/signal-recovery","display_name":"Signal recovery","score":0.7409752607345581},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6449244618415833},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.5515519976615906},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5439337491989136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5028809905052185},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45334693789482117},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.41919952630996704},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3649587631225586},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07066094875335693}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.8026628494262695},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7668068408966064},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.7579212188720703},{"id":"https://openalex.org/C2989281035","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Signal recovery","level":3,"score":0.7409752607345581},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6449244618415833},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.5515519976615906},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5439337491989136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5028809905052185},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45334693789482117},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.41919952630996704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3649587631225586},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07066094875335693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2012.6283718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6283718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1990039301","https://openalex.org/W1995971572","https://openalex.org/W2053877656","https://openalex.org/W2078204800","https://openalex.org/W2099641086","https://openalex.org/W2103955025","https://openalex.org/W2105877514","https://openalex.org/W2107844156","https://openalex.org/W2136235822","https://openalex.org/W2137959902","https://openalex.org/W2145096794","https://openalex.org/W2154332973","https://openalex.org/W2157969180","https://openalex.org/W2167839759","https://openalex.org/W4238744307"],"related_works":["https://openalex.org/W1502442302","https://openalex.org/W2087326866","https://openalex.org/W2118132594","https://openalex.org/W2078389543","https://openalex.org/W3024569604","https://openalex.org/W2091883426","https://openalex.org/W2023089748","https://openalex.org/W2136676913","https://openalex.org/W2737338842","https://openalex.org/W3173235360"],"abstract_inverted_index":{"A":[0],"sparse-dual-frame":[1],"based":[2],"\u2113":[3],"<sub":[4],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[6],"-analysis":[7],"approach":[8,78],"for":[9],"compressed":[10,37],"sensing":[11,38],"(CS)":[12],"is":[13,19,31,54,64],"proposed.":[14,55],"The":[15],"sparse":[16,43],"dual":[17,24],"frame":[18],"a":[20,27],"notion":[21],"of":[22,26,36],"optimal":[23],"frames":[25],"non-exact":[28],"frame.":[29],"It":[30],"motivated":[32],"in":[33],"the":[34,60,75],"study":[35],"problems":[39,72],"where":[40],"signals":[41],"are":[42],"with":[44],"respect":[45],"to":[46],"redundant":[47],"dictionaries":[48],"(frames).":[49],"An":[50,56],"alternating":[51],"iterative":[52],"algorithm":[53],"error":[57],"bound":[58],"ensuring":[59],"correct":[61],"signal":[62],"recovery":[63],"obtained.":[65],"Empirical":[66],"studies":[67],"over":[68],"generally":[69],"difficult":[70],"CS":[71],"demonstrate":[73],"that":[74],"new":[76],"sparse-dual-based":[77],"provides":[79],"satisfactory":[80],"solutions,":[81],"whereas":[82],"other":[83],"existing":[84],"means":[85],"may":[86],"not.":[87]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
