{"id":"https://openalex.org/W2017068817","doi":"https://doi.org/10.1109/acssc.2011.6190118","title":"Compressive sensing under matrix uncertainties: An Approximate Message Passing approach","display_name":"Compressive sensing under matrix uncertainties: An Approximate Message Passing approach","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2017068817","doi":"https://doi.org/10.1109/acssc.2011.6190118","mag":"2017068817"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2011.6190118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2011.6190118","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/170394","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058555260","display_name":"Jason T. Parker","orcid":null},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jason T. Parker","raw_affiliation_strings":["US Air Force Research Laboratory, OH, USA","US Air Force Research Laboratory, Wright Patterson AFB, OH 45433, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"US Air Force Research Laboratory, OH, USA","institution_ids":["https://openalex.org/I1280414376"]},{"raw_affiliation_string":"US Air Force Research Laboratory, Wright Patterson AFB, OH 45433, USA","institution_ids":["https://openalex.org/I1280414376"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027059837","display_name":"Volkan Cevher","orcid":"https://orcid.org/0000-0002-5004-201X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Volkan Cevher","raw_affiliation_strings":["Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland","Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045693581","display_name":"Philip Schniter","orcid":"https://orcid.org/0000-0003-0939-7545"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip Schniter","raw_affiliation_strings":["Department of ECE, Ohio State Uinversity, Columbus, OH, USA","Dept. of ECE, The Ohio State University, Columbus, 43210, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Ohio State Uinversity, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Dept. of ECE, The Ohio State University, Columbus, 43210, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.8771,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.9805579,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"804","last_page":"808"},"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":0.9988999962806702,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.7114667296409607},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6599926352500916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.580255389213562},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.5795749425888062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5676538944244385},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5657219290733337},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.49985623359680176},{"id":"https://openalex.org/keywords/essential-matrix","display_name":"Essential matrix","score":0.4803977310657501},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44932207465171814},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4454350769519806},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44234734773635864},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.43053358793258667},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.4267977178096771},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4228001832962036},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4177626967430115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30211734771728516},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.2353089153766632},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20626366138458252},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.18803754448890686},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.16422933340072632},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11586999893188477},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07952755689620972}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7114667296409607},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6599926352500916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.580255389213562},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.5795749425888062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5676538944244385},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5657219290733337},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.49985623359680176},{"id":"https://openalex.org/C49996920","wikidata":"https://www.wikidata.org/wiki/Q17089185","display_name":"Essential matrix","level":5,"score":0.4803977310657501},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44932207465171814},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4454350769519806},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44234734773635864},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.43053358793258667},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.4267977178096771},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4228001832962036},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4177626967430115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30211734771728516},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.2353089153766632},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20626366138458252},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.18803754448890686},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.16422933340072632},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11586999893188477},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07952755689620972},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/acssc.2011.6190118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2011.6190118","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.228.2664","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.2664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ece.osu.edu/%7Eschniter/pdf/asil11_mu.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.895.1530","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.895.1530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://infoscience.epfl.ch/record/170394/files/asilomar2011.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:170394","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170394","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:170394","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170394","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1890834058","https://openalex.org/W1983749341","https://openalex.org/W2015418199","https://openalex.org/W2034260606","https://openalex.org/W2082029531","https://openalex.org/W2092199153","https://openalex.org/W2119862467","https://openalex.org/W2123457453","https://openalex.org/W2126607811","https://openalex.org/W2135046866","https://openalex.org/W2156377127","https://openalex.org/W2162876243","https://openalex.org/W2166670884","https://openalex.org/W2296399167","https://openalex.org/W3102504669","https://openalex.org/W3105340263"],"related_works":["https://openalex.org/W2397289812","https://openalex.org/W2370217726","https://openalex.org/W2294432821","https://openalex.org/W1490136338","https://openalex.org/W2064237292","https://openalex.org/W3201815179","https://openalex.org/W1479942395","https://openalex.org/W3095793988","https://openalex.org/W2069963462","https://openalex.org/W2103300200"],"abstract_inverted_index":{"In":[0,94],"this":[1,67],"work,":[2],"we":[3,70,96,130],"consider":[4],"a":[5,72,166],"general":[6],"form":[7],"of":[8,80,85,91,119,125],"noisy":[9],"compressive":[10],"sensing":[11],"(CS)":[12],"when":[13],"there":[14,36],"is":[15,29,77],"uncertainty":[16,28,181],"in":[17,24,34,43,88,122,149],"the":[18,25,44,61,89,98,117,123,126,156],"measurement":[19,127,158],"matrix":[20,159,180],"as":[21,23,182],"well":[22],"measurements.":[26],"Matrix":[27],"motivated":[30],"by":[31,106,114],"practical":[32],"cases":[33],"which":[35],"are":[37],"imperfections":[38],"or":[39,83],"unknown":[40,157],"calibration":[41],"parameters":[42],"signal":[45,161],"acquisition":[46],"hardware.":[47],"While":[48],"previous":[49],"work":[50],"has":[51],"focused":[52],"on":[53],"analyzing":[54],"and":[55,63,109,111,160],"extending":[56],"classical":[57],"CS":[58],"algorithms":[59],"like":[60],"LASSO":[62],"Dantzig":[64],"selector":[65],"for":[66,171],"problem":[68],"setting,":[69],"propose":[71],"new":[73],"algorithm":[74],"whose":[75],"goal":[76],"either":[78],"minimization":[79],"mean-squared":[81],"error":[82],"maximization":[84],"posterior":[86],"probability":[87],"presence":[90],"these":[92],"uncertainties.":[93],"particular,":[95],"extend":[97],"Approximate":[99],"Message":[100],"Passing":[101],"(AMP)":[102],"approach":[103,134],"originally":[104],"proposed":[105],"Donoho,":[107],"Maleki,":[108],"Montanari,":[110],"recently":[112],"generalized":[113],"Rangan,":[115],"to":[116,153,177],"case":[118],"probabilistic":[120],"uncertainties":[121],"elements":[124],"matrix.":[128],"Empirically,":[129],"show":[131,141],"that":[132,142],"our":[133,143],"performs":[135],"near":[136],"oracle":[137],"bounds.":[138],"We":[139,163],"then":[140],"matrix-uncertain":[144],"AMP":[145],"can":[146],"be":[147],"applied":[148],"an":[150],"alternating":[151],"fashion":[152],"learn":[154],"both":[155],"vector.":[162],"also":[164],"present":[165],"simple":[167],"analysis":[168],"showing":[169],"that,":[170],"suitably":[172],"large":[173],"systems,":[174],"it":[175],"suffices":[176],"treat":[178],"uniform":[179],"additive":[183],"white":[184],"Gaussian":[185],"noise.":[186]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}