{"id":"https://openalex.org/W3197782848","doi":"https://doi.org/10.1109/isit45174.2021.9518281","title":"Multiple Support Recovery Using Very Few Measurements Per Sample","display_name":"Multiple Support Recovery Using Very Few Measurements Per Sample","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3197782848","doi":"https://doi.org/10.1109/isit45174.2021.9518281","mag":"3197782848"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9518281","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9518281","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","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/A5076342023","display_name":"Lekshmi Ramesh","orcid":"https://orcid.org/0000-0002-1179-944X"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Lekshmi Ramesh","raw_affiliation_strings":["Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,India,560012","Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,India,560012","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052103809","display_name":"Chandra R. Murthy","orcid":"https://orcid.org/0000-0003-4901-9434"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chandra R. Murthy","raw_affiliation_strings":["Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,India,560012","Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,India,560012","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077741905","display_name":"Himanshu Tyagi","orcid":"https://orcid.org/0000-0003-2950-706X"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Himanshu Tyagi","raw_affiliation_strings":["Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,India,560012","Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,India,560012","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076342023"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.3544,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55089921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1748","last_page":"1753"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11996","display_name":"Random lasers and scattering media","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9977999925613403,"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/estimator","display_name":"Estimator","score":0.5515168905258179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46356117725372314},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.45716607570648193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3545830249786377},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3455164432525635},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.33776283264160156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28924524784088135},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22680839896202087},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06907442212104797},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.06707680225372314}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5515168905258179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46356117725372314},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.45716607570648193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3545830249786377},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3455164432525635},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.33776283264160156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28924524784088135},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22680839896202087},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06907442212104797},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.06707680225372314}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit45174.2021.9518281","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9518281","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W602904462","https://openalex.org/W1534391782","https://openalex.org/W1829836923","https://openalex.org/W1967134148","https://openalex.org/W1967184357","https://openalex.org/W1990718447","https://openalex.org/W2015953751","https://openalex.org/W2027878671","https://openalex.org/W2049704395","https://openalex.org/W2109379066","https://openalex.org/W2125536150","https://openalex.org/W2141556672","https://openalex.org/W2149684740","https://openalex.org/W2149936180","https://openalex.org/W2150593711","https://openalex.org/W2156587627","https://openalex.org/W2165644552","https://openalex.org/W2169326247","https://openalex.org/W2276204684","https://openalex.org/W2405778879","https://openalex.org/W2615945947","https://openalex.org/W2962835214","https://openalex.org/W2975191084","https://openalex.org/W3098453412","https://openalex.org/W3101990100","https://openalex.org/W3104227803","https://openalex.org/W3106056496","https://openalex.org/W6631905391","https://openalex.org/W6684671274","https://openalex.org/W6713408018"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W4287880334","https://openalex.org/W4366700029","https://openalex.org/W4285230481","https://openalex.org/W4385769873","https://openalex.org/W4281634296","https://openalex.org/W4319161863","https://openalex.org/W2371687270","https://openalex.org/W4311888330"],"abstract_inverted_index":{"In":[0],"the":[1,36,41,55,60,67,70,83,93,109,112,124,132,158],"problem":[2,78],"of":[3,14,48,69,72,99,111],"multiple":[4,15],"support":[5,38,94],"recovery,":[6],"we":[7],"are":[8],"given":[9,46],"access":[10],"to":[11,40,58,122],"linear":[12],"measurements":[13,52,140],"sparse":[16],"samples":[17,24,34,159],"in":[18,66],"<tex":[19,29,49,61,87,96,135,144],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,30,50,62,88,97,136,145],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathbb{R}^{d}$</tex>":[21],".":[22],"These":[23],"can":[25,130],"be":[26],"partitioned":[27],"into":[28],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\ell$</tex>":[31,63],"groups,":[32],"with":[33,79,134],"having":[35],"same":[37,42],"belonging":[39],"group.":[43],"For":[44],"a":[45,80,104,119,152],"budget":[47],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$m$</tex>":[51,89],"per":[53,141],"sample,":[54,142],"goal":[56],"is":[57,90],"recover":[59,131],"underlying":[64,113],"supports,":[65],"absence":[68],"knowledge":[71],"group":[73],"labels.":[74],"We":[75,102],"study":[76],"this":[77],"focus":[81],"on":[82,157],"measurement-constrained":[84],"regime":[85],"where":[86],"smaller":[91],"than":[92],"size":[95],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k$</tex>":[98],"each":[100],"sample.":[101],"design":[103],"two-step":[105],"procedure":[106],"that":[107],"estimates":[108],"union":[110],"supports":[114,133],"first,":[115],"and":[116,160],"then":[117],"uses":[118],"spectral":[120],"algorithm":[121],"estimate":[123],"individual":[125],"supports.":[126],"Our":[127,148],"proposed":[128],"estimator":[129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$m":[137],"&lt;":[138],"k$</tex>":[139],"from":[143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\tilde{O}(k^{4}\\ell^{4}/m^{4})$</tex>":[146],"samples.":[147],"guarantees":[149],"hold":[150],"for":[151],"general,":[153],"generative":[154],"model":[155],"assumption":[156],"measurement":[161],"matrices.":[162]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}