{"id":"https://openalex.org/W3145937384","doi":"https://doi.org/10.1109/tsp.2012.2217334","title":"Message-Passing De-Quantization With Applications to Compressed Sensing","display_name":"Message-Passing De-Quantization With Applications to Compressed Sensing","publication_year":2012,"publication_date":"2012-09-05","ids":{"openalex":"https://openalex.org/W3145937384","doi":"https://doi.org/10.1109/tsp.2012.2217334","mag":"3145937384"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2012.2217334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2217334","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/210294","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024602237","display_name":"Ulugbek S. Kamilov","orcid":"https://orcid.org/0000-0001-6770-3278"},"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"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"U. S. Kamilov","raw_affiliation_strings":["Biomedical Imaging Group, \u00e9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, \u00e9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064518537","display_name":"Vivek K Goyal","orcid":"https://orcid.org/0000-0001-8471-7049"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. K. Goyal","raw_affiliation_strings":["Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000099903","display_name":"Sundeep Rangan","orcid":"https://orcid.org/0000-0002-0925-8169"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I90965887","display_name":"SUNY Polytechnic Institute","ror":"https://ror.org/000fxgx19","country_code":"US","type":"education","lineage":["https://openalex.org/I90965887"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Rangan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY, USA","institution_ids":["https://openalex.org/I57206974","https://openalex.org/I90965887"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.2333,"has_fulltext":false,"cited_by_count":114,"citation_normalized_percentile":{"value":0.99327248,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"60","issue":"12","first_page":"6270","last_page":"6281"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9984999895095825,"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/quantization","display_name":"Quantization (signal processing)","score":0.6546840667724609},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.625061571598053},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5630152225494385},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5416442155838013},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.5359353423118591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4949724078178406},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.4836362600326538},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44954556226730347},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4417009949684143},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.4238806664943695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3731005787849426},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.2927115857601166},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.13133499026298523}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6546840667724609},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.625061571598053},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5630152225494385},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5416442155838013},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.5359353423118591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4949724078178406},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.4836362600326538},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44954556226730347},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4417009949684143},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.4238806664943695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3731005787849426},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2927115857601166},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.13133499026298523},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsp.2012.2217334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2217334","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.309.6201","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.6201","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://bigwww.epfl.ch/publications/kamilov1205.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.393.7889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.7889","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://bigwww.epfl.ch/preprints/kamilov1204p.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:210294","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/210294","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":null,"host_organization_name":null,"host_organization_lineage":[],"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:210294","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/210294","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":null,"host_organization_name":null,"host_organization_lineage":[],"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":[{"id":"https://openalex.org/G1724030633","display_name":"Compressing Unordered Data:  Theory, Algorithms, and Applications","funder_award_id":"0729069","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5398790236","display_name":"CIF: Small: Approximate Message Passing for Systems with Linear Mixing and Randomization","funder_award_id":"1116589","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W1480356365","https://openalex.org/W1598255372","https://openalex.org/W1615740763","https://openalex.org/W1663973292","https://openalex.org/W1964499409","https://openalex.org/W1966245736","https://openalex.org/W1972334901","https://openalex.org/W1976318178","https://openalex.org/W1986931325","https://openalex.org/W1989009613","https://openalex.org/W1999547040","https://openalex.org/W2009086942","https://openalex.org/W2019599312","https://openalex.org/W2023584248","https://openalex.org/W2026847817","https://openalex.org/W2032102175","https://openalex.org/W2034260606","https://openalex.org/W2058936451","https://openalex.org/W2060256514","https://openalex.org/W2077621940","https://openalex.org/W2082029531","https://openalex.org/W2095713061","https://openalex.org/W2096102601","https://openalex.org/W2098573079","https://openalex.org/W2102380305","https://openalex.org/W2105037400","https://openalex.org/W2109236251","https://openalex.org/W2114887572","https://openalex.org/W2118016489","https://openalex.org/W2119667497","https://openalex.org/W2120058354","https://openalex.org/W2120189607","https://openalex.org/W2122631627","https://openalex.org/W2122645855","https://openalex.org/W2128659236","https://openalex.org/W2128804753","https://openalex.org/W2129638195","https://openalex.org/W2130528435","https://openalex.org/W2132660002","https://openalex.org/W2134179788","https://openalex.org/W2135046866","https://openalex.org/W2135843229","https://openalex.org/W2135859872","https://openalex.org/W2145096794","https://openalex.org/W2148037789","https://openalex.org/W2150412388","https://openalex.org/W2151693816","https://openalex.org/W2154423986","https://openalex.org/W2159080219","https://openalex.org/W2160968730","https://openalex.org/W2160979406","https://openalex.org/W2163844768","https://openalex.org/W2164452299","https://openalex.org/W2165942867","https://openalex.org/W2166670884","https://openalex.org/W2166816543","https://openalex.org/W2169732368","https://openalex.org/W2175784154","https://openalex.org/W2267540778","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2537629200","https://openalex.org/W2610971674","https://openalex.org/W3098848552","https://openalex.org/W3099288581","https://openalex.org/W3105340263","https://openalex.org/W4232786274","https://openalex.org/W4245239212","https://openalex.org/W4248351741","https://openalex.org/W4250955649","https://openalex.org/W4254197176","https://openalex.org/W4255294114"],"related_works":["https://openalex.org/W2378166785","https://openalex.org/W2156466545","https://openalex.org/W2379468505","https://openalex.org/W3104324607","https://openalex.org/W2121067345","https://openalex.org/W3209251257","https://openalex.org/W4206981968","https://openalex.org/W1987102304","https://openalex.org/W2601968125","https://openalex.org/W2308961925"],"abstract_inverted_index":{"Estimation":[0],"of":[1,33,74,92,140,147,159,171,197],"a":[2,9,34,70,148,168,224],"vector":[3,36,131],"from":[4,37],"quantized":[5,38],"linear":[6,15,39,44,81],"measurements":[7,93],"is":[8,62,94,119],"common":[10],"problem":[11],"for":[12,28,78,109,186],"which":[13],"simple":[14,121,169],"techniques":[16],"are":[17],"suboptimal-sometimes":[18],"greatly":[19,210],"so.":[20],"This":[21],"paper":[22],"develops":[23],"message-passing":[24],"de-quantization":[25],"(MPDQ)":[26],"algorithms":[27],"minimum":[29],"mean-squared":[30],"error":[31,157,195],"estimation":[32,79,111],"random":[35],"measurements,":[40],"notably":[41],"allowing":[42],"the":[43,52,97,103,129,138,145,155,193,198],"expansion":[45],"to":[46,55,102,181],"be":[47,56,162],"overcomplete":[48],"or":[49,58,219],"undercomplete":[50],"and":[51,83,106,122,165,190],"scalar":[53,90,115,172,184],"quantization":[54,91,208],"regular":[57],"non-regular.":[59],"The":[60,117],"algorithm":[61,118],"based":[63],"on":[64,128],"generalized":[65],"approximate":[66],"message":[67],"passing":[68],"(GAMP),":[69],"recently-developed":[71],"Gaussian":[72,149],"approximation":[73],"loopy":[75],"belief":[76],"propagation":[77],"with":[80,152,217,220,223],"transforms":[82],"nonlinear":[84],"componentwise-separable":[85],"output":[86,98],"channels.":[87],"For":[88],"MPDQ,":[89],"incorporated":[95],"into":[96],"channel":[99],"formalism,":[100],"leading":[101],"first":[104],"tractable":[105],"effective":[107],"method":[108],"high-dimensional":[110],"problems":[112,216],"involving":[113],"non-regular":[114,207],"quantization.":[116],"computationally":[120],"can":[123,161,209],"incorporate":[124],"arbitrary":[125],"separable":[126],"priors":[127,134],"input":[130],"including":[132],"sparsity-inducing":[133,225],"that":[135,206],"arise":[136],"in":[137,214],"context":[139],"compressed":[141],"sensing.":[142],"Moreover,":[143],"under":[144],"assumption":[146],"measurement":[150],"matrix":[151],"i.i.d.":[153],"entries,":[154],"asymptotic":[156],"performance":[158,196,213],"MPDQ":[160,187],"accurately":[163],"predicted":[164],"tracked":[166],"through":[167],"set":[170],"state":[173,179],"evolution":[174,180],"equations.":[175],"We":[176],"additionally":[177],"use":[178],"design":[182],"MSE-optimal":[183],"quantizers":[185],"signal":[188],"reconstruction":[189],"empirically":[191],"demonstrate":[192],"superior":[194],"resulting":[199],"quantizers.":[200],"In":[201],"particular,":[202],"our":[203],"results":[204],"show":[205],"improve":[211],"rate-distortion":[212],"some":[215],"oversampling":[218],"undersampling":[221],"combined":[222],"prior.":[226]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":18},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}