{"id":"https://openalex.org/W2128726521","doi":"https://doi.org/10.1109/focs.2013.19","title":"Extractors for a Constant Number of Independent Sources with Polylogarithmic Min-Entropy","display_name":"Extractors for a Constant Number of Independent Sources with Polylogarithmic Min-Entropy","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2128726521","doi":"https://doi.org/10.1109/focs.2013.19","mag":"2128726521"},"language":"en","primary_location":{"id":"doi:10.1109/focs.2013.19","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs.2013.19","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 54th Annual Symposium on Foundations of Computer Science","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/A5100353875","display_name":"Xin Li","orcid":"https://orcid.org/0000-0002-4691-4508"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xin Li","raw_affiliation_strings":["University of Washington","University of Washington, Seattle WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"University of Washington, Seattle WA, USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100353875"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":null,"apc_paid":null,"fwci":5.7202,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.97118753,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"100","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9993000030517578,"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/T10237","display_name":"Cryptography and Data Security","score":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extractor","display_name":"Extractor","score":0.7325426936149597},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6055949926376343},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5996729135513306},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5937753915786743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.588479220867157},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5612016320228577},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.5509011149406433},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.44364020228385925},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4266309142112732},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.253700852394104},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21010491251945496},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.18722814321517944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13451355695724487}],"concepts":[{"id":"https://openalex.org/C117978034","wikidata":"https://www.wikidata.org/wiki/Q5422192","display_name":"Extractor","level":2,"score":0.7325426936149597},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6055949926376343},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5996729135513306},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5937753915786743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.588479220867157},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5612016320228577},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.5509011149406433},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.44364020228385925},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4266309142112732},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.253700852394104},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21010491251945496},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.18722814321517944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13451355695724487},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21880701","wikidata":"https://www.wikidata.org/wiki/Q2144042","display_name":"Process engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/focs.2013.19","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs.2013.19","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 54th Annual Symposium on Foundations of Computer Science","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":28,"referenced_works":["https://openalex.org/W1487376352","https://openalex.org/W1831187082","https://openalex.org/W1976815826","https://openalex.org/W2060474153","https://openalex.org/W2084567084","https://openalex.org/W2090418561","https://openalex.org/W2096171805","https://openalex.org/W2102906040","https://openalex.org/W2108240973","https://openalex.org/W2114924587","https://openalex.org/W2120164218","https://openalex.org/W2123702065","https://openalex.org/W2127367297","https://openalex.org/W2128726521","https://openalex.org/W2134254678","https://openalex.org/W2135963330","https://openalex.org/W2139782093","https://openalex.org/W2140805804","https://openalex.org/W2146813141","https://openalex.org/W2151303208","https://openalex.org/W2157843680","https://openalex.org/W2158226503","https://openalex.org/W2166420632","https://openalex.org/W2167765756","https://openalex.org/W3138228363","https://openalex.org/W4285719527","https://openalex.org/W6629029582","https://openalex.org/W6684521033"],"related_works":["https://openalex.org/W1998608784","https://openalex.org/W1964874065","https://openalex.org/W2408373662","https://openalex.org/W2143898630","https://openalex.org/W4297454411","https://openalex.org/W2079245245","https://openalex.org/W2951129724","https://openalex.org/W2176553175","https://openalex.org/W1548021824","https://openalex.org/W2099601775"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,20,53,58,84,102,123,143,159,167],"problem":[3,160,168],"of":[4,49,110,161,169],"constructing":[5],"explicit":[6,104],"extractors":[7,56,128],"for":[8,30,106,122,129,145],"independent":[9,32,50,94,111,130],"general":[10],"weak":[11,15],"random":[12,148,164],"sources.":[13],"Given":[14],"sources":[16,33,74,95,112,131,149,165],"on":[17,75,113,155],"n":[18,76,114],"bits,":[19],"probabilistic":[21],"method":[22],"shows":[23],"that":[24,132],"there":[25],"exists":[26],"a":[27,46,107,156],"deterministic":[28],"extractor":[29,87,105,138],"two":[31],"with":[34,78,116],"min-entropy":[35,59,79,117],"as":[36,38],"small":[37],"log":[39],"n+O(1).":[40],"However,":[41],"even":[42],"to":[43,60,89,135],"extract":[44],"from":[45],"constant":[47,66,108],"number":[48,109],"sources,":[51],"previously":[52,83],"best":[54,85],"known":[55,86],"require":[57],"be":[61],"at":[62],"least":[63],"n\u03b4for":[64],"any":[65],"\u03b4":[67],">":[68],"0":[69],"[1],":[70],"[2],":[71],"[3].":[72],"For":[73],"bits":[77,115],"k":[80,118],"\u2265":[81,119],"polylog(n),":[82],"needs":[88],"use":[90],"O(log(log":[91],"n/log":[92],"k))+O(1)":[93],"Li12d.":[96],"In":[97],"this":[98],"paper,":[99],"we":[100,126],"construct":[101],"first":[103,124],"polylog(n).":[120],"Thus,":[121],"time":[125],"get":[127],"are":[133],"close":[134],"optimal.":[136],"Our":[137],"is":[139,153],"obtained":[140],"by":[141],"improving":[142],"condenser":[144],"structured":[146],"somewhere":[147,163],"in":[150,172],"[3],":[151],"which":[152],"based":[154],"connection":[157],"between":[158],"condensing":[162],"and":[166],"leader":[170],"election":[171],"distributed":[173],"computing.":[174]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
