{"id":"https://openalex.org/W2015926116","doi":"https://doi.org/10.1109/ita.2012.6181772","title":"Recovering simple signals","display_name":"Recovering simple signals","publication_year":2012,"publication_date":"2012-02-01","ids":{"openalex":"https://openalex.org/W2015926116","doi":"https://doi.org/10.1109/ita.2012.6181772","mag":"2015926116"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2012.6181772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2012.6181772","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Information Theory and Applications Workshop","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/A5042502878","display_name":"Anna C. Gilbert","orcid":"https://orcid.org/0000-0002-9627-9274"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anna C. Gilbert","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044782086","display_name":"Brett Hemenway","orcid":"https://orcid.org/0000-0002-4344-7406"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brett Hemenway","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001041485","display_name":"Atri Rudra","orcid":"https://orcid.org/0000-0003-4136-4719"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Atri Rudra","raw_affiliation_strings":["Department of Computer Science, University at Buffalo SUNY, Buffalo, NY, USA","Department of Computer Science, The University at Buffalo SUNY, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University at Buffalo SUNY, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Computer Science, The University at Buffalo SUNY, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107196494","display_name":"Martin J. Strauss","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin J. Strauss","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022963784","display_name":"Mary Wootters","orcid":"https://orcid.org/0000-0002-2345-2531"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mary Wootters","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mathematics, 2074 East Hall, University of Michigan, Ann Arbor, 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9322,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.90734106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"382","last_page":"391"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11754","display_name":"SARS-CoV-2 detection and testing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11754","display_name":"SARS-CoV-2 detection and testing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7204228043556213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48090052604675293},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.4804674983024597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4784560203552246},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.468021959066391},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46597811579704285},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.4623839259147644},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41795340180397034},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41432321071624756},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38107067346572876},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35839760303497314}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7204228043556213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48090052604675293},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.4804674983024597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4784560203552246},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.468021959066391},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46597811579704285},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.4623839259147644},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41795340180397034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41432321071624756},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38107067346572876},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35839760303497314},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ita.2012.6181772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2012.6181772","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Information Theory and Applications Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.415.3533","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.415.3533","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.lsa.umich.edu/~annacg/papers/GHRSW.BoundedAdversary.2011.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.467.247","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.467.247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ita.ucsd.edu/workshop/12/files/paper/paper_1434.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W129041085","https://openalex.org/W147410782","https://openalex.org/W1515124366","https://openalex.org/W1544735579","https://openalex.org/W1772667815","https://openalex.org/W1923547365","https://openalex.org/W1975680434","https://openalex.org/W1997768152","https://openalex.org/W2011492351","https://openalex.org/W2012584108","https://openalex.org/W2017761965","https://openalex.org/W2020301027","https://openalex.org/W2020390700","https://openalex.org/W2037757210","https://openalex.org/W2063844956","https://openalex.org/W2072340529","https://openalex.org/W2080341611","https://openalex.org/W2089797683","https://openalex.org/W2091256848","https://openalex.org/W2095978736","https://openalex.org/W2096185893","https://openalex.org/W2102300387","https://openalex.org/W2106993026","https://openalex.org/W2110493997","https://openalex.org/W2113056523","https://openalex.org/W2114252197","https://openalex.org/W2117142774","https://openalex.org/W2117159768","https://openalex.org/W2118420122","https://openalex.org/W2118653712","https://openalex.org/W2120383799","https://openalex.org/W2122548617","https://openalex.org/W2125680629","https://openalex.org/W2138129780","https://openalex.org/W2145096794","https://openalex.org/W2147549456","https://openalex.org/W2158537680","https://openalex.org/W2163258822","https://openalex.org/W2167973519","https://openalex.org/W2170168647","https://openalex.org/W2170496663","https://openalex.org/W2170844819","https://openalex.org/W2286685332","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2303097896","https://openalex.org/W2533057217","https://openalex.org/W2542170364","https://openalex.org/W2603506033","https://openalex.org/W2620300926","https://openalex.org/W2751862591","https://openalex.org/W2949204716","https://openalex.org/W2950056754","https://openalex.org/W2952842448","https://openalex.org/W3125735862","https://openalex.org/W4250955649","https://openalex.org/W6630851652","https://openalex.org/W6632662896","https://openalex.org/W6638034209","https://openalex.org/W6668494427","https://openalex.org/W6675225866","https://openalex.org/W6677398900","https://openalex.org/W6685105177","https://openalex.org/W6738998801","https://openalex.org/W6763780651"],"related_works":["https://openalex.org/W2549922247","https://openalex.org/W2300663769","https://openalex.org/W1523391825","https://openalex.org/W2152231009","https://openalex.org/W2735239078","https://openalex.org/W2152589265","https://openalex.org/W2963414100","https://openalex.org/W2490602626","https://openalex.org/W2372875289","https://openalex.org/W2020521836"],"abstract_inverted_index":{"The":[0],"primary":[1],"goal":[2],"of":[3,22,44,48,63,162,179,233],"compressed":[4,130,267],"sensing":[5,131,268],"and":[6,37,53,60,90,100,117,132,168,195],"(non-adaptive)":[7],"combinatorial":[8,133],"group":[9,134,263],"testing":[10,135,264],"is":[11,68,82,205,253,272],"to":[12,86,110,148,181,190,226,236],"recover":[13],"a":[14,74,160,258],"sparse":[15],"vector":[16,94,146],"x":[17,59,67,95,147],"from":[18,65,188],"an":[19,137,239,270,276],"underdetermined":[20],"set":[21],"linear":[23],"equations":[24],"\u03a6x":[25,32],"=":[26,33],"y.":[27],"Both":[28],"problems":[29],"entail":[30],"solving":[31],"y":[34,38],"given":[35],"\u03a6":[36],"but":[39],"they":[40],"use":[41],"different":[42,46,54,227],"models":[43,47,50,165,210],"arithmetic,":[45],"randomness":[49],"for":[51,76,166,230,262,266],"F,":[52],"guarantees":[55],"upon":[56],"the":[57,61,80,92,142,145,155,176,186,231],"solution":[58],"class":[62],"signals":[64],"which":[66],"drawn.":[69],"In":[70],"[1],":[71],"Lipton":[72],"introduced":[73],"model":[75,187],"error":[77,93,126],"correction":[78],"where":[79,140],"channel":[81],"computationally":[83,163,191],"bounded,":[84,194],"subject":[85],"standard":[87],"cryptographic":[88],"assumptions,":[89],"produces":[91,144],"that":[96,170,219,245],"must":[97],"be":[98,149,182],"found":[99],"then":[101],"corrected.":[102],"This":[103],"has":[104],"been":[105],"extended":[106],"in":[107,125,221],"[2],":[108],"[3]":[109],"create":[111],"more":[112],"efficient":[113],"schemes":[114],"against":[115],"polynomial":[116],"logspace":[118],"bounded":[119,164],"channels.":[120],"Inspired":[121],"by":[122,184,207],"these":[123,209],"results":[124],"correction,":[127],"we":[128,243],"view":[129],"as":[136,255,257,273,275],"adversarial":[138,189,222,260],"process,":[139],"Mallory":[141,167,252],"adversary":[143,271],"measured,":[150],"with":[151],"limited":[152],"information":[153],"about":[154],"matrix":[156],"\u03a6.":[157],"We":[158,216],"define":[159],"number":[161,178,232],"show":[169,218,244],"there":[171],"are":[172],"significant":[173],"gains":[174],"(in":[175,199],"minimum":[177],"measurements)":[180],"had":[183],"relaxing":[185],"or":[192,213],"information-theoretically":[193],"not":[196],"too":[197],"much":[198],"some":[200],"cases,":[201],"nothing":[202],"at":[203],"all)":[204],"lost":[206],"assuming":[208],"over":[211],"oblivious":[212,277],"statistical":[214],"models.":[215],"also":[217],"differences":[220],"power":[223],"give":[224],"rise":[225],"lower":[228],"bounds":[229],"measurements":[234],"required":[235],"defeat":[237],"such":[238,269],"adversary.":[240],"By":[241],"contrast":[242],"randomized":[246],"one":[247,261],"pass":[248],"log":[249],"space":[250],"streaming":[251],"almost":[254],"powerful":[256],"fully":[259],"while":[265],"weak":[274],"one.":[278]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}