{"id":"https://openalex.org/W2798982840","doi":"https://doi.org/10.1109/acssc.2017.8335478","title":"Multilevel group testing via sparse-graph codes","display_name":"Multilevel group testing via sparse-graph codes","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2798982840","doi":"https://doi.org/10.1109/acssc.2017.8335478","mag":"2798982840"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2017.8335478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2017.8335478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 51st Asilomar Conference on Signals, Systems, and Computers","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/A5010494402","display_name":"Pedro Pugliesi Abdalla","orcid":"https://orcid.org/0000-0002-7490-9466"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pedro Abdalla","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059780399","display_name":"Amirhossein Reisizadeh","orcid":"https://orcid.org/0000-0002-1730-8402"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amirhossein Reisizadeh","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040270189","display_name":"Ramtin Pedarsani","orcid":"https://orcid.org/0000-0002-1126-0292"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ramtin Pedarsani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010494402"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":0.4699,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64501101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"18","issue":null,"first_page":"895","last_page":"899"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11725","display_name":"Immunodeficiency and Autoimmune Disorders","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9695000052452087,"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/group-testing","display_name":"Group testing","score":0.8608301281929016},{"id":"https://openalex.org/keywords/pooling","display_name":"Pooling","score":0.6415166854858398},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.587685227394104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5612093806266785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.540755033493042},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4923511743545532},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48523449897766113},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.47686347365379333},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.4590200185775757},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44220903515815735},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4370729923248291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42699185013771057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3698332607746124},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0856645405292511}],"concepts":[{"id":"https://openalex.org/C177580056","wikidata":"https://www.wikidata.org/wiki/Q5611272","display_name":"Group testing","level":2,"score":0.8608301281929016},{"id":"https://openalex.org/C70437156","wikidata":"https://www.wikidata.org/wiki/Q7228652","display_name":"Pooling","level":2,"score":0.6415166854858398},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.587685227394104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5612093806266785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.540755033493042},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4923511743545532},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48523449897766113},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.47686347365379333},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.4590200185775757},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44220903515815735},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4370729923248291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42699185013771057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3698332607746124},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0856645405292511},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acssc.2017.8335478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2017.8335478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 51st Asilomar Conference on Signals, Systems, and Computers","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/W134253518","https://openalex.org/W1515124366","https://openalex.org/W1536930200","https://openalex.org/W1544735579","https://openalex.org/W1963802661","https://openalex.org/W2002912175","https://openalex.org/W2069878969","https://openalex.org/W2069901361","https://openalex.org/W2101627389","https://openalex.org/W2110902771","https://openalex.org/W2112118326","https://openalex.org/W2173497155","https://openalex.org/W2303097896","https://openalex.org/W2521231262","https://openalex.org/W2580294586","https://openalex.org/W2582381331","https://openalex.org/W2603506033","https://openalex.org/W2741510187","https://openalex.org/W2962706095","https://openalex.org/W2963205047","https://openalex.org/W3099510449","https://openalex.org/W3103169419","https://openalex.org/W4250519137","https://openalex.org/W4285719527","https://openalex.org/W4299320608","https://openalex.org/W6605501381","https://openalex.org/W6630851652","https://openalex.org/W6632662896","https://openalex.org/W6654237713","https://openalex.org/W6735606371"],"related_works":["https://openalex.org/W3090123594","https://openalex.org/W4298106763","https://openalex.org/W4225762034","https://openalex.org/W3208673741","https://openalex.org/W3193495136","https://openalex.org/W3214194574","https://openalex.org/W4289536551","https://openalex.org/W3034045117","https://openalex.org/W2935446612","https://openalex.org/W3092874786"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,12,36,49,57,66,82,84,87,100,102,105,140,160,177,200],"problem":[6,54],"of":[7,19,26,32,38,44,59,86,104,139,162,180,199],"multi-level":[8],"group":[9,46,52,113],"testing,":[10],"where":[11,148],"goal":[13],"is":[14,55,62,89,107,151,183,191],"to":[15,193],"recover":[16,194],"a":[17,24,111,152],"set":[18,25,67],"K":[20],"defective":[21,79,141,201],"items":[22,28,33,80,98,142,202],"in":[23,65,81,99],"n":[27],"by":[29],"pooling":[30],"groups":[31],"and":[34,91,123,159,165,174],"observing":[35],"result":[37,58,85,103],"each":[39,60],"test.":[40],"The":[41],"main":[42],"difference":[43],"multilevel":[45,112],"testing":[47,53,114],"with":[48,128,203,221],"classical":[50],"non-adaptive":[51],"that":[56,119,154,217],"test":[61,88,106],"an":[63,187],"integer":[64],"[L]":[68],"=":[69,210],"{0,1,\u22ef":[70],",":[71],"L}:":[72],"if":[73,92],"there":[74,93],"are":[75,94],"i":[76],"<;":[77],"L":[78,97,173,209],"pool,":[83,101],"i,":[90],"more":[95],"than":[96],"L.":[108],"We":[109,212],"develop":[110],"algorithm":[115,132,182,190],"using":[116,143],"sparse-graph":[117],"codes":[118],"has":[120],"low":[121],"sample":[122],"computational":[124,178],"complexity.":[125],"More":[126],"precisely,":[127],"high":[129],"probability,":[130],"our":[131,181,189,222],"provably":[133],"recovers":[134],"(1":[135,195],"-":[136,196],"\u03f5)":[137],"fraction":[138,198],"C(\u03f5,":[144,149],"L)K":[145],"log(n)":[146,206],"tests,":[147],"L)":[150],"constant":[153],"only":[155,204],"depends":[156],"on":[157],"\u03f5":[158],"number":[161],"levels":[163],"L,":[164],"it":[166],"can":[167],"be":[168],"precisely":[169],"characterized":[170],"for":[171,208],"arbitrary":[172],"e.":[175],"Furthermore,":[176],"complexity":[179],"O(K":[184],"log(n)).":[185],"As":[186],"example,":[188],"able":[192],"10<;sup>-3<;/sup>)":[197],"13.8K":[205],"measurements":[207],"2.":[211],"also":[213],"provide":[214],"numerical":[215],"results":[216],"show":[218],"tight":[219],"agreement":[220],"theoretical":[223],"results.":[224]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}