{"id":"https://openalex.org/W2739264868","doi":"https://doi.org/10.1109/isit.2017.8006569","title":"Estimation of sparsity via simple measurements","display_name":"Estimation of sparsity via simple measurements","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2739264868","doi":"https://doi.org/10.1109/isit.2017.8006569","mag":"2739264868"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006569","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.06664","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012059292","display_name":"Abhishek Agarwal","orcid":"https://orcid.org/0000-0002-0900-6383"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Abhishek Agarwal","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts, Amherst","[College of Information and Computer Sciences, University of Massachusetts Amherst]"],"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts, Amherst","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"[College of Information and Computer Sciences, University of Massachusetts Amherst]","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048863697","display_name":"Larkin Flodin","orcid":"https://orcid.org/0000-0001-5857-5286"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Larkin Flodin","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts, Amherst","[College of Information and Computer Sciences, University of Massachusetts Amherst]"],"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts, Amherst","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"[College of Information and Computer Sciences, University of Massachusetts Amherst]","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051046818","display_name":"Arya Mazumdar","orcid":"https://orcid.org/0000-0003-4605-7996"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arya Mazumdar","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts, Amherst","[College of Information and Computer Sciences, University of Massachusetts Amherst]"],"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts, Amherst","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"[College of Information and Computer Sciences, University of Massachusetts Amherst]","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012059292"],"corresponding_institution_ids":["https://openalex.org/I24603500"],"apc_list":null,"apc_paid":null,"fwci":0.1619,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51424072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"456","last_page":"460"},"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":0.9986000061035156,"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":0.9986000061035156,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9972000122070312,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6587273478507996},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5629828572273254},{"id":"https://openalex.org/keywords/group-testing","display_name":"Group testing","score":0.5321744084358215},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5051782727241516},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.47697362303733826},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45401185750961304},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4532311260700226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43630629777908325},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.41777360439300537},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35589951276779175},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3302806615829468},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29649868607521057},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16539359092712402},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12207737565040588}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6587273478507996},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5629828572273254},{"id":"https://openalex.org/C177580056","wikidata":"https://www.wikidata.org/wiki/Q5611272","display_name":"Group testing","level":2,"score":0.5321744084358215},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5051782727241516},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.47697362303733826},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45401185750961304},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4532311260700226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43630629777908325},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.41777360439300537},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35589951276779175},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3302806615829468},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29649868607521057},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16539359092712402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12207737565040588},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2017.8006569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006569","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1707.06664","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.06664","pdf_url":"https://arxiv.org/pdf/1707.06664","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"mag:2739264868","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.06664.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1707.06664","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.06664","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.06664","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.06664","pdf_url":"https://arxiv.org/pdf/1707.06664","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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/G5560006178","display_name":"CAREER: Reliability in Large-Scale Storage","funder_award_id":"1642658","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7273289677","display_name":"CIF: Small: Collaborative Research: Combinatorial Joint Source-Channel Coding","funder_award_id":"1318093","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8014836118","display_name":"CIF: Small: Collaborative Research: Ordinal Data Compression","funder_award_id":"1642550","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2739264868.pdf","grobid_xml":"https://content.openalex.org/works/W2739264868.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1039850677","https://openalex.org/W1495692127","https://openalex.org/W1674742109","https://openalex.org/W1677000716","https://openalex.org/W1970574739","https://openalex.org/W1971371277","https://openalex.org/W1971402995","https://openalex.org/W2005153892","https://openalex.org/W2006554558","https://openalex.org/W2053547515","https://openalex.org/W2059355691","https://openalex.org/W2075452391","https://openalex.org/W2129638195","https://openalex.org/W2517132505","https://openalex.org/W2521231262","https://openalex.org/W2950167137","https://openalex.org/W4250973566","https://openalex.org/W6632662896"],"related_works":["https://openalex.org/W2966376085","https://openalex.org/W3128056260","https://openalex.org/W2962708459","https://openalex.org/W2051573271","https://openalex.org/W2020301027","https://openalex.org/W2624297319","https://openalex.org/W1923547365","https://openalex.org/W2286693792","https://openalex.org/W2059867647","https://openalex.org/W2995213998","https://openalex.org/W2084439502","https://openalex.org/W2394552308","https://openalex.org/W2766664101","https://openalex.org/W2399534654","https://openalex.org/W1556308264","https://openalex.org/W2963677571","https://openalex.org/W1508514151","https://openalex.org/W2962703991","https://openalex.org/W2053637543","https://openalex.org/W2556640879"],"abstract_inverted_index":{"We":[0,46,83],"consider":[1],"several":[2],"related":[3],"problems":[4],"of":[5,11,37,52,62,65,75],"estimating":[6],"the":[7,40,106,132],"`sparsity'":[8],"or":[9,139],"number":[10,61],"nonzero":[12],"elements":[13],"d":[14],"in":[15,77],"a":[16,32,50,59,124,140],"length":[17],"n":[18],"vector":[19],"x":[20],"by":[21],"observing":[22],"only":[23],"b":[24],"=":[25],"M":[26,30],"\u2299":[27,42,108,134],"x,":[28,38],"where":[29,121],"is":[31,109,123,135],"predesigned":[33],"test":[34],"matrix":[35],"independent":[36],"and":[39,80,115,148,155],"operation":[41,107,133],"varies":[43],"between":[44],"problems.":[45],"aim":[47],"to":[48,94],"provide":[49],"\u0394-approximation":[51],"sparsity":[53,76],"for":[54],"some":[55],"constant":[56],"\u0394":[57],"with":[58],"minimal":[60],"measurements":[63,152],"(rows":[64],"M).":[66],"This":[67],"framework":[68],"generalizes":[69],"multiple":[70],"problems,":[71],"such":[72],"as":[73,89,91],"estimation":[74],"group":[78,113],"testing":[79],"compressed":[81],"sensing.":[82],"use":[84],"techniques":[85],"from":[86],"coding":[87],"theory":[88],"well":[90],"probabilistic":[92],"methods":[93],"show":[95,144],"that":[96,145],"O(D":[97],"log":[98,100,150],"D":[99,122],"n)":[101],"rows":[102],"are":[103,119,153],"sufficient":[104],"when":[105],"logical":[110],"OR":[111],"(i.e.,":[112],"testing),":[114],"nearly":[116],"this":[117],"many":[118],"necessary,":[120],"known":[125],"upper":[126],"bound":[127],"on":[128],"d.":[129],"When":[130],"instead":[131],"multiplication":[136],"over":[137],"R":[138],"finite":[141],"field,":[142],"we":[143],"respectively":[146],"\u0398(D)":[147],"\u0398(D":[149],"n/D)":[151],"necessary":[154],"sufficient.":[156]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
