{"id":"https://openalex.org/W2063591503","doi":"https://doi.org/10.1109/ciss.2008.4558484","title":"Noisy compressive sampling limits in linear and sublinear regimes","display_name":"Noisy compressive sampling limits in linear and sublinear regimes","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2063591503","doi":"https://doi.org/10.1109/ciss.2008.4558484","mag":"2063591503"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2008.4558484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2008.4558484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Annual Conference on Information Sciences and Systems","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/A5044571053","display_name":"Mehmet Ak\u00e7akaya","orcid":"https://orcid.org/0000-0001-6400-7736"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehmet Akcakaya","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","School of Engineering and Applied Science, Harvard University, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"School of Engineering and Applied Science, Harvard University, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020766546","display_name":"Vahid Tarokh","orcid":"https://orcid.org/0000-0003-2994-6302"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vahid Tarokh","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","School of Engineering and Applied Science, Harvard University, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"School of Engineering and Applied Science, Harvard University, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9968000054359436,"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/sublinear-function","display_name":"Sublinear function","score":0.9314510822296143},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.7803658246994019},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5692882537841797},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.558127760887146},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5544638633728027},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5152273774147034},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4920505881309509},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4905368685722351},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49039292335510254},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4826091527938843},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4693998396396637},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.43146300315856934},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42120957374572754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3877396881580353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3696148097515106},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09898146986961365},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09334072470664978}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.9314510822296143},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7803658246994019},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5692882537841797},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.558127760887146},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5544638633728027},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5152273774147034},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4920505881309509},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4905368685722351},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49039292335510254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4826091527938843},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4693998396396637},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.43146300315856934},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42120957374572754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3877396881580353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3696148097515106},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09898146986961365},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09334072470664978},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ciss.2008.4558484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2008.4558484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Annual Conference on Information Sciences and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1676119944","https://openalex.org/W1904809838","https://openalex.org/W2104357403","https://openalex.org/W2127300249","https://openalex.org/W2129131372","https://openalex.org/W2129569662","https://openalex.org/W2141556672","https://openalex.org/W2296616510","https://openalex.org/W6637203886","https://openalex.org/W6639678157"],"related_works":["https://openalex.org/W90906771","https://openalex.org/W2018828772","https://openalex.org/W2529185025","https://openalex.org/W2052708136","https://openalex.org/W2809723425","https://openalex.org/W2005302727","https://openalex.org/W4289097813","https://openalex.org/W3082028334","https://openalex.org/W1973725449","https://openalex.org/W2069476810"],"abstract_inverted_index":{"The":[0,103],"authors":[1],"have":[2],"recently":[3],"established":[4],"a":[5,18,43,70,89],"set":[6],"of":[7,13,36,45,55,72],"results":[8,39,77,104],"that":[9,41,78,109],"characterize":[10],"the":[11,34,81,116],"number":[12,44],"measurements":[14,57,100,112],"required":[15,114],"to":[16],"recover":[17],"sparse":[19],"signal":[20,63],"in":[21,33,115],"C":[22],"<sup":[23],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</sup>":[25],"with":[26],"L":[27,66],"non-zero":[28],"coefficients":[29],"from":[30],"compressed":[31],"samples":[32],"presence":[35],"noise.":[37],"These":[38],"indicate":[40],"for":[42,62,88],"different":[46],"recovery":[47,91],"criteria,":[48],"O":[49],"(L)":[50],"(an":[51],"asymptotically":[52],"linear":[53],"multiple":[54],"L)":[56],"are":[58,85,101,113],"necessary":[59],"and":[60],"sufficient":[61],"recovery,":[64],"whenever":[65],"grows":[67],"linearly":[68],"as":[69],"function":[71],"M.":[73],"We":[74],"review":[75],"these":[76],"improve":[79],"on":[80,94],"existing":[82],"literature,":[83],"which":[84],"mostly":[86],"derived":[87],"specific":[90],"algorithm":[92],"based":[93],"convex":[95],"programming,":[96],"where":[97],"O(L":[98,110],"log(M-L))":[99,111],"required.":[102],"discussed":[105],"here":[106],"also":[107],"show":[108],"sublinear":[117],"regime":[118],"(L":[119],"=":[120],"o(M)).":[121]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
