{"id":"https://openalex.org/W2110198170","doi":"https://doi.org/10.1109/icassp.2009.4960344","title":"A simple, efficient and near optimal algorithm for compressed sensing","display_name":"A simple, efficient and near optimal algorithm for compressed sensing","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2110198170","doi":"https://doi.org/10.1109/icassp.2009.4960344","mag":"2110198170"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2009.4960344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","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/A5007495566","display_name":"Thomas Blumensath","orcid":"https://orcid.org/0000-0002-7489-265X"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"T. Blumensath","raw_affiliation_strings":["IDCOM & Joint Research Institute of Signal and Image Processing, University of Edinburgh, Edinburgh, UK","IDCOM & Joint Research Institute for Signal and Image Processing, The University of Edinburgh, King's Buildings, Mayfield Road, EH9 3JL, UK"],"affiliations":[{"raw_affiliation_string":"IDCOM & Joint Research Institute of Signal and Image Processing, University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"IDCOM & Joint Research Institute for Signal and Image Processing, The University of Edinburgh, King's Buildings, Mayfield Road, EH9 3JL, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057962470","display_name":"Mike E. Davies","orcid":"https://orcid.org/0000-0003-2327-236X"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. E. Davies","raw_affiliation_strings":["IDCOM & Joint Research Institute of Signal and Image Processing, University of Edinburgh, Edinburgh, UK","IDCOM & Joint Research Institute for Signal and Image Processing, The University of Edinburgh, King's Buildings, Mayfield Road, EH9 3JL, UK"],"affiliations":[{"raw_affiliation_string":"IDCOM & Joint Research Institute of Signal and Image Processing, University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"IDCOM & Joint Research Institute for Signal and Image Processing, The University of Edinburgh, King's Buildings, Mayfield Road, EH9 3JL, UK","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007495566"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":null,"apc_paid":null,"fwci":3.1909,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.92272301,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3357","last_page":"3360"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/compressed-sensing","display_name":"Compressed sensing","score":0.8494740724563599},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.659583330154419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.649013340473175},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.6174846887588501},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.612334132194519},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5897576808929443},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5807008743286133},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5800089836120605},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5761323571205139},{"id":"https://openalex.org/keywords/nyquist-rate","display_name":"Nyquist rate","score":0.5205914974212646},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45506617426872253},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4287506937980652},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41002801060676575},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35000079870224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21033579111099243},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1752253770828247},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14170992374420166},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.11332166194915771},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.08817392587661743}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.8494740724563599},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.659583330154419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.649013340473175},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.6174846887588501},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.612334132194519},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5897576808929443},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5807008743286133},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5800089836120605},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5761323571205139},{"id":"https://openalex.org/C65914096","wikidata":"https://www.wikidata.org/wiki/Q6273772","display_name":"Nyquist rate","level":4,"score":0.5205914974212646},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45506617426872253},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4287506937980652},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41002801060676575},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35000079870224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21033579111099243},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1752253770828247},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14170992374420166},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.11332166194915771},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.08817392587661743},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2009.4960344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.900.3677","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.900.3677","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mirlab.org/conference_papers/International_Conference/ICASSP%202009/pdfs/0003357.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.soton.ac.uk:151907","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/151907/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1527917680","https://openalex.org/W1980454827","https://openalex.org/W2015418199","https://openalex.org/W2017761965","https://openalex.org/W2078204800","https://openalex.org/W2145096794","https://openalex.org/W2156218715","https://openalex.org/W2159268085","https://openalex.org/W2160396672","https://openalex.org/W2164452299","https://openalex.org/W2296616510","https://openalex.org/W2963322354","https://openalex.org/W4250955649","https://openalex.org/W7066868167"],"related_works":["https://openalex.org/W2497512603","https://openalex.org/W2379468505","https://openalex.org/W2071548530","https://openalex.org/W4387870235","https://openalex.org/W2154003813","https://openalex.org/W2210983845","https://openalex.org/W2054047433","https://openalex.org/W3142184949","https://openalex.org/W3001645640","https://openalex.org/W2468414543"],"abstract_inverted_index":{"When":[0],"sampling":[1,16,49],"signals":[2],"below":[3],"the":[4,15,22,37,48,53,94],"Nyquist":[5],"rate,":[6],"efficient":[7,57,75],"and":[8,21,51,74],"accurate":[9],"reconstruction":[10,61],"is":[11,18,24],"nevertheless":[12],"possible,":[13],"whenever":[14],"system":[17,50],"well":[19,25],"behaved":[20],"signal":[23,60],"approximated":[26],"by":[27],"a":[28,71],"sparse":[29],"vector.":[30],"This":[31],"statement":[32],"has":[33,82],"been":[34],"formalised":[35],"in":[36],"recently":[38],"developed":[39,45],"theory":[40],"of":[41,55,93],"compressed":[42],"sensing,":[43],"which":[44],"conditions":[46],"on":[47],"proved":[52],"performance":[54,85],"several":[56],"algorithms":[58],"for":[59,90],"under":[62],"these":[63],"conditions.":[64],"In":[65],"this":[66],"paper,":[67],"we":[68],"prove":[69],"that":[70],"very":[72],"simple":[73],"algorithm,":[76],"known":[77],"as":[78],"Iterative":[79],"Hard":[80],"Thresholding,":[81],"near":[83],"optimal":[84],"guarantees":[86],"rivalling":[87],"those":[88],"derived":[89],"other":[91],"state":[92],"art":[95],"approaches.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
