{"id":"https://openalex.org/W4386066370","doi":"https://doi.org/10.1109/isit54713.2023.10206707","title":"Fundamental Limits of Multiple Sequence Reconstruction from Substrings","display_name":"Fundamental Limits of Multiple Sequence Reconstruction from Substrings","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386066370","doi":"https://doi.org/10.1109/isit54713.2023.10206707"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 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/A5091410155","display_name":"Kel Levick","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kel Levick","raw_affiliation_strings":["University of Illinois, Urbana-Champaign,Urbana,IL,USA","University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign,Urbana,IL,USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046640187","display_name":"Ilan Shomorony","orcid":"https://orcid.org/0000-0001-5077-2269"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilan Shomorony","raw_affiliation_strings":["University of Illinois, Urbana-Champaign,Urbana,IL,USA","University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign,Urbana,IL,USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.8712,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74829583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"791","last_page":"796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.9937000274658203,"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/substring","display_name":"Substring","score":0.9562332034111023},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7137512564659119},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6643500328063965},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6040709614753723},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5802670121192932},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5205926895141602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3950236439704895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3902527391910553},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3456272780895233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08252477645874023},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07999244332313538},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.07052132487297058}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.9562332034111023},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7137512564659119},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6643500328063965},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6040709614753723},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5802670121192932},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5205926895141602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3950236439704895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3902527391910553},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3456272780895233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08252477645874023},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07999244332313538},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.07052132487297058},{"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/isit54713.2023.10206707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1493192698","https://openalex.org/W1987345132","https://openalex.org/W2038138057","https://openalex.org/W2043481183","https://openalex.org/W2072234624","https://openalex.org/W2077095651","https://openalex.org/W2088310213","https://openalex.org/W2094087588","https://openalex.org/W2115562934","https://openalex.org/W2136651963","https://openalex.org/W2963545007","https://openalex.org/W2964194865","https://openalex.org/W3172394053","https://openalex.org/W3175471354","https://openalex.org/W3196625425","https://openalex.org/W3217778979","https://openalex.org/W4386066370"],"related_works":["https://openalex.org/W1583922594","https://openalex.org/W2998448420","https://openalex.org/W1974038726","https://openalex.org/W1953626159","https://openalex.org/W1598224733","https://openalex.org/W2118815061","https://openalex.org/W4297022878","https://openalex.org/W2215353002","https://openalex.org/W2354973579","https://openalex.org/W2080846028"],"abstract_inverted_index":{"The":[0],"problem":[1,31],"of":[2,9,29,44,59,69,72],"reconstructing":[3],"a":[4],"sequence":[5],"from":[6,41,66],"the":[7,42,67,82,98,129,147,159],"set":[8,68],"its":[10,19],"length-k":[11],"substrings":[12,71],"has":[13],"received":[14],"considerable":[15],"attention":[16],"due":[17],"to":[18,37,63,80,157],"various":[20],"applications":[21],"in":[22],"genomics.":[23],"We":[24,48,91],"study":[25],"an":[26,50],"uncoded":[27],"version":[28],"this":[30],"where":[32,53,144],"multiple":[33],"random":[34],"sources":[35],"are":[36,62,140,155],"be":[38,64,102,115],"simultaneously":[39],"reconstructed":[40,65,103,116],"union":[43],"their":[45,70],"k-mer":[46],"sets.":[47],"consider":[49],"asymptotic":[51],"regime":[52],"m":[54],"=":[55,75],"n\u03b1i.i.d.":[56],"source":[57,99,148],"sequences":[58,100],"length":[60,73],"n":[61,95],"k":[74],"\u03b2":[76,105],"logn,":[77],"and":[78,113,151],"seek":[79],"characterize":[81],"(\u03b1,\u03b2)":[83,142],"pairs":[84,143],"for":[85],"which":[86],"reconstruction":[87,153],"is":[88],"information-theoretically":[89],"feasible.":[90],"show":[92],"that,":[93],"as":[94],"\u2192\u221e\u03b1+":[96],"1,":[97,109],"can":[101],"if":[104,117],">":[106],"max(2\u03b1":[107],"+":[108,111,123,125],"\u03b1":[110],"2)":[112],"cannot":[114],"$\\beta":[118],"<":[119],"\\max":[120],"\\left(":[121],"{2\\alpha":[122],"1,\\alpha":[124],"\\frac{3}{2}}":[126],"\\right)$,":[127],"characterizing":[128],"feasibility":[130],"region":[131],"almost":[132],"completely.":[133],"Interestingly,":[134],"our":[135],"result":[136],"shows":[137],"that":[138],"there":[139],"feasible":[141],"repeats":[145],"across":[146],"strings":[149],"abound,":[150],"non-trivial":[152],"algorithms":[154],"needed":[156],"achieve":[158],"fundamental":[160],"limit.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}