{"id":"https://openalex.org/W2112038498","doi":"https://doi.org/10.1109/tit.2012.2234823","title":"Robust 1-Bit Compressive Sensing via Binary Stable Embeddings of Sparse Vectors","display_name":"Robust 1-Bit Compressive Sensing via Binary Stable Embeddings of Sparse Vectors","publication_year":2013,"publication_date":"2013-01-23","ids":{"openalex":"https://openalex.org/W2112038498","doi":"https://doi.org/10.1109/tit.2012.2234823","mag":"2112038498"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2234823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2234823","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2078/123200","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053892288","display_name":"Laurent Jacques","orcid":"https://orcid.org/0000-0002-6261-0328"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Laurent Jacques","raw_affiliation_strings":["Institute of Information and Communication Technologies, Electronics and Applied Mathematics, Department of Electrical Engineering, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","Dept. of Electr. Eng., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information and Communication Technologies, Electronics and Applied Mathematics, Department of Electrical Engineering, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070064624","display_name":"Jason N. Laska","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jason N. Laska","raw_affiliation_strings":["Dropcam, Inc., San Francisco, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dropcam, Inc., San Francisco, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034522188","display_name":"Petros T. Boufounos","orcid":"https://orcid.org/0000-0003-1369-0947"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]},{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Petros T. Boufounos","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072713767","display_name":"Richard G. Baraniuk","orcid":"https://orcid.org/0000-0002-0721-8999"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard G. Baraniuk","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053892288"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":67.3395,"has_fulltext":false,"cited_by_count":666,"citation_normalized_percentile":{"value":0.99977934,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"59","issue":"4","first_page":"2082","last_page":"2102"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9994000196456909,"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/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":0.7859649658203125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6074462532997131},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6034563183784485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5820333361625671},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5712107419967651},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.4805465340614319},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32642555236816406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31499534845352173},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.2444935142993927},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.17817282676696777}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7859649658203125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6074462532997131},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6034563183784485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5820333361625671},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5712107419967651},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.4805465340614319},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32642555236816406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31499534845352173},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2444935142993927},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.17817282676696777},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2012.2234823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2234823","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:123200","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078/123200","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, Vol. 59, no. 4, p. 2082-2102","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dial.uclouvain.be:boreal:123200","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078/123200","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, Vol. 59, no. 4, p. 2082-2102","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":87,"referenced_works":["https://openalex.org/W5029374","https://openalex.org/W1480376833","https://openalex.org/W1485997076","https://openalex.org/W1491105865","https://openalex.org/W1527312120","https://openalex.org/W1553598118","https://openalex.org/W1570784851","https://openalex.org/W1580014081","https://openalex.org/W1580106762","https://openalex.org/W1582983303","https://openalex.org/W1966637115","https://openalex.org/W1975846642","https://openalex.org/W1976318178","https://openalex.org/W1977601760","https://openalex.org/W1985123706","https://openalex.org/W1986931325","https://openalex.org/W1991567646","https://openalex.org/W1994220221","https://openalex.org/W1998632310","https://openalex.org/W2001697496","https://openalex.org/W2007584189","https://openalex.org/W2015037592","https://openalex.org/W2015418199","https://openalex.org/W2022465342","https://openalex.org/W2028485967","https://openalex.org/W2028781966","https://openalex.org/W2030449718","https://openalex.org/W2032102175","https://openalex.org/W2034365297","https://openalex.org/W2038276547","https://openalex.org/W2051907181","https://openalex.org/W2052099679","https://openalex.org/W2058936451","https://openalex.org/W2060256514","https://openalex.org/W2060430274","https://openalex.org/W2065742895","https://openalex.org/W2086869478","https://openalex.org/W2087238370","https://openalex.org/W2098300287","https://openalex.org/W2098573079","https://openalex.org/W2099100030","https://openalex.org/W2109449402","https://openalex.org/W2110005331","https://openalex.org/W2122548617","https://openalex.org/W2122645855","https://openalex.org/W2125378448","https://openalex.org/W2128804753","https://openalex.org/W2132311865","https://openalex.org/W2134179788","https://openalex.org/W2135046866","https://openalex.org/W2137990311","https://openalex.org/W2140156116","https://openalex.org/W2140204814","https://openalex.org/W2140532408","https://openalex.org/W2141116650","https://openalex.org/W2142126109","https://openalex.org/W2144999903","https://openalex.org/W2145218531","https://openalex.org/W2147717514","https://openalex.org/W2148041990","https://openalex.org/W2150446607","https://openalex.org/W2154423986","https://openalex.org/W2161278885","https://openalex.org/W2162006472","https://openalex.org/W2163844768","https://openalex.org/W2164452299","https://openalex.org/W2167469399","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2397770138","https://openalex.org/W2780608926","https://openalex.org/W2787894218","https://openalex.org/W2963322354","https://openalex.org/W2964003909","https://openalex.org/W2964322027","https://openalex.org/W3013820469","https://openalex.org/W3099088829","https://openalex.org/W3104303694","https://openalex.org/W3105340263","https://openalex.org/W4250955649","https://openalex.org/W4255512111","https://openalex.org/W4297669117","https://openalex.org/W4302041924","https://openalex.org/W6600200425","https://openalex.org/W6674760193","https://openalex.org/W6678556256","https://openalex.org/W6680741563"],"related_works":["https://openalex.org/W2378166785","https://openalex.org/W2156466545","https://openalex.org/W2379468505","https://openalex.org/W3104324607","https://openalex.org/W4206981968","https://openalex.org/W1987102304","https://openalex.org/W4285251805","https://openalex.org/W2537887767","https://openalex.org/W2601968125","https://openalex.org/W2018454463"],"abstract_inverted_index":{"The":[0],"compressive":[1],"sensing":[2],"(CS)":[3],"framework":[4],"aims":[5],"to":[6,20,37,75,149,175],"ease":[7],"the":[8,16,50,55,69,72,76,86,119,156,169,172,181,199,204],"burden":[9],"on":[10,118],"analog-to-digital":[11],"converters":[12],"(ADCs)":[13],"by":[14],"reducing":[15],"sampling":[17,52,73],"rate":[18,53,74],"required":[19],"acquire":[21],"and":[22,54,113,152,154],"stably":[23],"recover":[24],"sparse":[25],"signals.":[26],"Practical":[27],"ADCs":[28],"not":[29],"only":[30],"sample":[31],"but":[32],"also":[33,125,192],"quantize":[34],"each":[35],"measurement":[36,133,150,173],"a":[38,115,195],"finite":[39],"number":[40,77],"of":[41,78,89,171,184],"bits;":[42],"moreover,":[43],"there":[44],"is":[45],"an":[46,63],"inverse":[47],"relationship":[48],"between":[49],"achievable":[51,121],"bit":[56],"depth.":[57],"In":[58,82],"this":[59],"paper,":[60],"we":[61,84,105,145,202],"investigate":[62],"alternative":[64],"CS":[65,91],"approach":[66],"that":[67,127,180,186,216],"shifts":[68],"emphasis":[70],"from":[71,109,213],"bits":[79],"per":[80],"measurement.":[81],"particular,":[83],"explore":[85],"extreme":[87],"case":[88],"1-bit":[90,111,214],"measurements,":[92],"which":[93,167],"capture":[94],"just":[95],"their":[96],"sign.":[97],"Our":[98],"results":[99],"come":[100],"in":[101],"two":[102],"flavors.":[103],"First,":[104],"consider":[106,146],"ideal":[107],"reconstruction":[108,122,147,212],"noiseless":[110,190],"measurements":[112,215],"provide":[114,132,187],"lower":[116],"bound":[117],"best":[120],"error.":[123],"We":[124,178],"demonstrate":[126],"i.i.d.":[128],"random":[129],"Gaussian":[130],"matrices":[131,185],"mappings":[134],"that,":[135],"with":[136],"overwhelming":[137],"probability,":[138],"achieve":[139],"nearly":[140],"optimal":[141,189],"error":[142],"decay.":[143],"Next,":[144],"robustness":[148,170],"errors":[151],"noise":[153],"introduce":[155,203],"binary":[157,205],"<formula":[158],"formulatype=\"inline\"":[159],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[160],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[161],"Notation=\"TeX\">$\\epsilon":[162],"$</tex></formula>":[163],"-stable":[164],"embedding":[165],"property,":[166],"characterizes":[168],"process":[174],"sign":[176],"changes.":[177],"show":[179],"same":[182],"class":[183],"almost":[188],"performance":[191],"enable":[193],"such":[194],"robust":[196],"mapping.":[197],"On":[198],"practical":[200],"side,":[201],"iterative":[206],"hard":[207],"thresholding":[208],"algorithm":[209],"for":[210],"signal":[211],"offers":[217],"state-of-the-art":[218],"performance.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":39},{"year":2024,"cited_by_count":35},{"year":2023,"cited_by_count":33},{"year":2022,"cited_by_count":42},{"year":2021,"cited_by_count":57},{"year":2020,"cited_by_count":59},{"year":2019,"cited_by_count":72},{"year":2018,"cited_by_count":62},{"year":2017,"cited_by_count":53},{"year":2016,"cited_by_count":61},{"year":2015,"cited_by_count":53},{"year":2014,"cited_by_count":42},{"year":2013,"cited_by_count":35},{"year":2012,"cited_by_count":16}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2025-10-10T00:00:00"}