{"id":"https://openalex.org/W1966286617","doi":"https://doi.org/10.1109/allerton.2013.6736698","title":"Sparse signal recovery under Poisson statistics","display_name":"Sparse signal recovery under Poisson statistics","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W1966286617","doi":"https://doi.org/10.1109/allerton.2013.6736698","mag":"1966286617"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2013.6736698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1307.4666","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079668940","display_name":"Delaram Motamedvaziri","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Delaram Motamedvaziri","raw_affiliation_strings":["ECE Department Boston University","ECE Department, Boston University, Boston, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department Boston University","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"ECE Department, Boston University, Boston, MA, USA#TAB#","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041967349","display_name":"Mohammad Hossein Rohban","orcid":"https://orcid.org/0000-0001-6589-850X"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad H. Rohban","raw_affiliation_strings":["ECE Department Boston University","ECE Department, Boston University, Boston, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department Boston University","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"ECE Department, Boston University, Boston, MA, USA#TAB#","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048704387","display_name":"Venkatesh Saligrama","orcid":"https://orcid.org/0000-0002-0675-2268"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkatesh Saligrama","raw_affiliation_strings":["ECE Department Boston University","ECE Department, Boston University, Boston, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department Boston University","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"ECE Department, Boston University, Boston, MA, USA#TAB#","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1450","last_page":"1457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983000159263611,"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":0.9965000152587891,"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/poisson-distribution","display_name":"Poisson distribution","score":0.791990339756012},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7197340130805969},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.5360147953033447},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.509917140007019},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4896445870399475},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.46978655457496643},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.46526435017585754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4608438014984131},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4440135657787323},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.432179719209671},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4306444227695465},{"id":"https://openalex.org/keywords/poisson-regression","display_name":"Poisson regression","score":0.42706534266471863},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4065922796726227},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11856108903884888}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.791990339756012},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7197340130805969},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5360147953033447},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.509917140007019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4896445870399475},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.46978655457496643},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.46526435017585754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4608438014984131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4440135657787323},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.432179719209671},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4306444227695465},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.42706534266471863},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4065922796726227},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11856108903884888},{"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/allerton.2013.6736698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1307.4666","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.4666","pdf_url":"https://arxiv.org/pdf/1307.4666","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.742.4553","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.742.4553","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1307.4666.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1307.4666","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.4666","pdf_url":"https://arxiv.org/pdf/1307.4666","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1524589413","https://openalex.org/W1555163866","https://openalex.org/W1966286617","https://openalex.org/W2010531033","https://openalex.org/W2011194005","https://openalex.org/W2023982864","https://openalex.org/W2037678453","https://openalex.org/W2057701372","https://openalex.org/W2063199553","https://openalex.org/W2075578677","https://openalex.org/W2076313409","https://openalex.org/W2092058109","https://openalex.org/W2112405755","https://openalex.org/W2116581043","https://openalex.org/W2125935121","https://openalex.org/W2131825174","https://openalex.org/W2147068866","https://openalex.org/W2158143155","https://openalex.org/W2162312215","https://openalex.org/W2315852339","https://openalex.org/W2615915281","https://openalex.org/W2950190315","https://openalex.org/W2950859181","https://openalex.org/W3099718522","https://openalex.org/W3100937728","https://openalex.org/W3101167011","https://openalex.org/W3139690337","https://openalex.org/W4238721329","https://openalex.org/W4245167715","https://openalex.org/W4285719527","https://openalex.org/W6683664273","https://openalex.org/W6684363390"],"related_works":["https://openalex.org/W2347733609","https://openalex.org/W2066502241","https://openalex.org/W2605475288","https://openalex.org/W2292976891","https://openalex.org/W4240383795","https://openalex.org/W4297848787","https://openalex.org/W4245457074","https://openalex.org/W2128683635","https://openalex.org/W2008809748","https://openalex.org/W2140857733"],"abstract_inverted_index":{"We":[0,63,81,94],"are":[1,22,51,57],"motivated":[2],"by":[3,24],"problems":[4,48],"that":[5,96],"arise":[6],"in":[7,90,123],"a":[8,31,38,68],"number":[9,126],"of":[10,42,67,125,127],"applications":[11],"such":[12],"as":[13],"explosives":[14],"detection":[15],"and":[16,135,139],"online":[17],"Marketing,":[18],"where":[19],"the":[20,65,91,98,102,108],"observations":[21,49],"governed":[23],"Poisson":[25,32,76],"statistics.":[26],"Here":[27],"each":[28],"observation":[29],"is":[30,37,78,116],"random":[33,136],"variable":[34],"whose":[35],"mean":[36],"sparse":[39,88],"linear":[40],"superposition":[41],"known":[43],"patterns.":[44],"Unlike":[45],"many":[46],"conventional":[47],"here":[50],"not":[52],"identically":[53],"distributed":[54],"since":[55],"they":[56],"associated":[58],"with":[59],"different":[60],"sensing":[61,99,137],"modalities.":[62],"analyse":[64],"performance":[66],"Maximum":[69],"Likelihood":[70],"(ML)":[71],"decoder,":[72],"which":[73],"for":[74,87,144],"our":[75],"setting":[77],"computationally":[79],"tractable.":[80],"derive":[82],"fundamental":[83],"sample":[84],"complexity":[85],"bounds":[86],"recovery":[89],"high-dimensional":[92],"setting.":[93],"show":[95],"when":[97],"matrix":[100],"satisfies":[101],"so-called":[103],"Restricted":[104],"Eigenvalue":[105],"(RE)":[106],"condition":[107],"\u2113":[109],"<sup":[110],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[112],"regularized":[113],"ML":[114],"decoder":[115],"consistent.":[117],"Moreover,":[118],"it":[119],"converges":[120],"exponentially":[121],"fast":[122],"terms":[124],"observations.":[128],"Our":[129],"results":[130,143],"apply":[131],"to":[132],"both":[133,145],"deterministic":[134],"matrices":[138],"we":[140],"present":[141],"several":[142],"cases.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
