{"id":"https://openalex.org/W4415368253","doi":"https://doi.org/10.1109/isit63088.2025.11195538","title":"Noisy Nonadaptive Group Testing with Binary Splitting: New Test Design and Improvement on Price-Scarlett-Tan's Scheme","display_name":"Noisy Nonadaptive Group Testing with Binary Splitting: New Test Design and Improvement on Price-Scarlett-Tan's Scheme","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415368253","doi":"https://doi.org/10.1109/isit63088.2025.11195538"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5014320408","display_name":"Xiaxin Li","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaxin Li","raw_affiliation_strings":["University of California San Diego,CA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California San Diego,CA,USA","institution_ids":["https://openalex.org/I36258959"]}]},{"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/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arya Mazumdar","raw_affiliation_strings":["University of California San Diego,CA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California San Diego,CA,USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27141774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9936000108718872,"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":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/group-testing","display_name":"Group testing","score":0.8428999781608582},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6776999831199646},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6617000102996826},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6510000228881836},{"id":"https://openalex.org/keywords/false-positive-paradox","display_name":"False positive paradox","score":0.524399995803833},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.5008000135421753},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.47769999504089355},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.45730000734329224}],"concepts":[{"id":"https://openalex.org/C177580056","wikidata":"https://www.wikidata.org/wiki/Q5611272","display_name":"Group testing","level":2,"score":0.8428999781608582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7067999839782715},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6776999831199646},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6617000102996826},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6510000228881836},{"id":"https://openalex.org/C64869954","wikidata":"https://www.wikidata.org/wiki/Q1859747","display_name":"False positive paradox","level":2,"score":0.524399995803833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5217999815940857},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.5008000135421753},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.47769999504089355},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.45730000734329224},{"id":"https://openalex.org/C112789634","wikidata":"https://www.wikidata.org/wiki/Q18207010","display_name":"False positives and false negatives","level":3,"score":0.43619999289512634},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4260999858379364},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.40799999237060547},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3327000141143799},{"id":"https://openalex.org/C88484641","wikidata":"https://www.wikidata.org/wiki/Q5611273","display_name":"Group tests","level":3,"score":0.33219999074935913},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32409998774528503},{"id":"https://openalex.org/C2779190172","wikidata":"https://www.wikidata.org/wiki/Q4913888","display_name":"Binary data","level":3,"score":0.3151000142097473},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2750999927520752},{"id":"https://openalex.org/C60782215","wikidata":"https://www.wikidata.org/wiki/Q3333679","display_name":"Probabilistic method","level":3,"score":0.27090001106262207},{"id":"https://openalex.org/C34602496","wikidata":"https://www.wikidata.org/wiki/Q2271882","display_name":"Sequential probability ratio test","level":2,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3930916604","display_name":"Collaborative Research: EnCORE: Institute for Emerging CORE Methods in Data Science","funder_award_id":"2217058","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1974466705","https://openalex.org/W2101627389","https://openalex.org/W2112118326","https://openalex.org/W2118420122","https://openalex.org/W2296508272","https://openalex.org/W2521231262","https://openalex.org/W2545844586","https://openalex.org/W2582049860","https://openalex.org/W2963146668","https://openalex.org/W2963991930","https://openalex.org/W3014846055","https://openalex.org/W3023086180","https://openalex.org/W3118287959","https://openalex.org/W3195295028","https://openalex.org/W3197882089","https://openalex.org/W4313729301","https://openalex.org/W4317814829","https://openalex.org/W4386075107","https://openalex.org/W4388624327","https://openalex.org/W4390575997"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1,182],"paper,":[2],"we":[3,153],"study":[4],"the":[5,23,37,65,70,83,98,120,141,146,161,166,176],"binary":[6,25],"splitting":[7,26],"method":[8,27],"for":[9],"group":[10,18,79],"testing":[11,19,80],"and":[12,29,33,58,74,89,96,103,118,130,165],"propose":[13],"(1)":[14],"A":[15,76],"nonadaptive":[16],"probabilistic":[17,78],"scheme":[20,81,125],"that":[21],"generalizes":[22],"original":[24],"(Price":[28],"Scarlett,":[30],"2020;":[31],"Cheraghchi":[32],"Nakos,":[34],"2020)":[35],"from":[36],"noiseless":[38],"case":[39],"into":[40],"tests":[41,57,164],"with$\\rho$proportion":[42],"of":[43,56,67,72,85,100,111,163,181],"false":[44,87,90,142,147],"positives":[45,88],"(the$\\rho$-False":[46],"Positive":[47],"Channel),":[48],"where$\\rho$is":[49],"a":[50,131,136,151],"constant,":[51,152],"with":[52],"asymptotically":[53],"optimal":[54],"number":[55,66,71,162],"decoding":[59,132,167],"complexity,":[60],"i.e.$\\mathcal{O}(K":[61],"\\log":[62,128,158],"N)$,":[63],"where$K$is":[64],"defectives":[68],"and$N$is":[69],"items,":[73],"(2)":[75],"non-adaptive":[77],"in":[82,92,106],"presence":[84],"both":[86,160],"negatives":[91],"test":[93,112],"outcomes,":[94],"improving":[95],"generalizing":[97],"work":[99],"Price,":[101],"Scarlett":[102],"Tan":[104],"(2023)":[105],"two":[107],"ways:":[108],"First,":[109],"under$\\rho$proportion":[110],"results":[113],"flipped":[114],"($\\rho$-Binary":[115],"Symmetric":[116],"Channel)":[117],"within":[119],"general":[121,177],"sublinear":[122],"regime$K=\\Theta\\left(N^{\\alpha}\\right)$where$0<\\alpha<1$,":[123],"our":[124],"has$\\mathcal{O}\\left(\\epsilon^{-1}":[126],"K":[127,157],"N\\right)$tests":[129],"complexity":[133],"of$\\mathcal{O}\\left(\\epsilon^{-2}":[134],"K^{1+\\epsilon}\\right)$where$\\epsilon>0$is":[135],"constant":[137],"parameter.":[138],"Second,":[139],"when":[140],"negative":[143],"flipping":[144,149],"probability$\\rho^{\\prime}$satisfies$\\rho^{\\prime}=\\mathcal{O}\\left(K^{-\\epsilon}\\right)$and":[145],"positive":[148],"probability$\\rho$is":[150],"can":[154],"simultaneously":[155],"achieve$\\mathcal{O}\\left(\\epsilon^{-1}":[156],"N\\right)$for":[159],"complexity.":[168],"It":[169],"remains":[170],"open":[171],"to":[172],"achieve":[173],"these":[174],"under":[175],"BSC.":[178],"(The":[179],"full-version":[180],"paper":[183],"is":[184],"available":[185],"online":[186],"at":[187],"https://arxiv.org/abs/2410.14566.)":[188]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-21T00:00:00"}