{"id":"https://openalex.org/W3035226643","doi":"https://doi.org/10.1145/3357713.3384279","title":"Strong average-case lower bounds from non-trivial derandomization","display_name":"Strong average-case lower bounds from non-trivial derandomization","publication_year":2020,"publication_date":"2020-06-06","ids":{"openalex":"https://openalex.org/W3035226643","doi":"https://doi.org/10.1145/3357713.3384279","mag":"3035226643"},"language":"en","primary_location":{"id":"doi:10.1145/3357713.3384279","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3357713.3384279","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3357713.3384279","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3357713.3384279","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100611490","display_name":"Lijie Chen","orcid":"https://orcid.org/0000-0002-6084-4729"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lijie Chen","raw_affiliation_strings":["Massachusetts Institute of Technology, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070520262","display_name":"Hanlin Ren","orcid":"https://orcid.org/0000-0002-7632-7574"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanlin Ren","raw_affiliation_strings":["Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.725,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.96382705,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1327","last_page":"1334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9984999895095825,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.7818013429641724},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6388715505599976},{"id":"https://openalex.org/keywords/pseudorandom-generator","display_name":"Pseudorandom generator","score":0.5414725542068481},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5341856479644775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5094507336616516},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5058009624481201},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4968271553516388},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4308476150035858},{"id":"https://openalex.org/keywords/circuit-complexity","display_name":"Circuit complexity","score":0.4255716800689697},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4057694673538208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3101336359977722},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25703737139701843},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20679143071174622}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.7818013429641724},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6388715505599976},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.5414725542068481},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5341856479644775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5094507336616516},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5058009624481201},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4968271553516388},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4308476150035858},{"id":"https://openalex.org/C90702460","wikidata":"https://www.wikidata.org/wiki/Q1055112","display_name":"Circuit complexity","level":3,"score":0.4255716800689697},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4057694673538208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3101336359977722},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25703737139701843},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20679143071174622},{"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3357713.3384279","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3357713.3384279","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3357713.3384279","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/146215","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/146215","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM|Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"doi:10.1145/3357713.3384279","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3357713.3384279","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3357713.3384279","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4820067761","display_name":"CAREER: Common Links in Algorithms and Complexity","funder_award_id":"1741615","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8961698171","display_name":null,"funder_award_id":"CCF-1741615","funder_id":"https://openalex.org/F4320315254","funder_display_name":"Innovative Research Group Project of the National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320315254","display_name":"Innovative Research Group Project of the National Natural Science Foundation of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3035226643.pdf","grobid_xml":"https://content.openalex.org/works/W3035226643.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W50958263","https://openalex.org/W184142732","https://openalex.org/W1527197079","https://openalex.org/W1603472107","https://openalex.org/W1607960089","https://openalex.org/W1984459117","https://openalex.org/W1984477611","https://openalex.org/W1989019709","https://openalex.org/W1993138363","https://openalex.org/W1996834809","https://openalex.org/W1998918799","https://openalex.org/W2004130530","https://openalex.org/W2009994177","https://openalex.org/W2010873187","https://openalex.org/W2016443801","https://openalex.org/W2019578639","https://openalex.org/W2026339776","https://openalex.org/W2027528470","https://openalex.org/W2027665018","https://openalex.org/W2036656440","https://openalex.org/W2045924252","https://openalex.org/W2060270693","https://openalex.org/W2061106457","https://openalex.org/W2070678975","https://openalex.org/W2080210666","https://openalex.org/W2082647621","https://openalex.org/W2083820240","https://openalex.org/W2097886040","https://openalex.org/W2104952158","https://openalex.org/W2111824166","https://openalex.org/W2142610181","https://openalex.org/W2144345645","https://openalex.org/W2148352980","https://openalex.org/W2173078028","https://openalex.org/W2175296692","https://openalex.org/W2293988196","https://openalex.org/W2343516500","https://openalex.org/W2568404849","https://openalex.org/W2610312456","https://openalex.org/W2789121304","https://openalex.org/W2794128811","https://openalex.org/W2799157706","https://openalex.org/W2799236954","https://openalex.org/W2809266875","https://openalex.org/W2887278875","https://openalex.org/W2891316961","https://openalex.org/W2899793533","https://openalex.org/W2911869889","https://openalex.org/W2912080987","https://openalex.org/W2932045673","https://openalex.org/W2949604493","https://openalex.org/W2952971107","https://openalex.org/W2965628617","https://openalex.org/W2971503262","https://openalex.org/W3001571187","https://openalex.org/W3013163752","https://openalex.org/W3013398713","https://openalex.org/W3013759312","https://openalex.org/W3150645827","https://openalex.org/W4205550388","https://openalex.org/W4240781210"],"related_works":["https://openalex.org/W1999779303","https://openalex.org/W2050596027","https://openalex.org/W346875545","https://openalex.org/W1999474022","https://openalex.org/W2408612094","https://openalex.org/W2129175628","https://openalex.org/W2023915883","https://openalex.org/W2978186572","https://openalex.org/W1529985544","https://openalex.org/W3035226643"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"for":[3,70,81],"all":[4,82],"constants":[5],"a,":[6],"NQP":[7],"=":[8],"NTIME[n":[9],"polylog(n)]":[10],"cannot":[11],"be":[12,49],"(1/2":[13],"+":[14],"2\u2212log":[15],"a":[16,21,34,56],"n":[17,22,79],")-approximated":[18],"by":[19,51],"2log":[20],"-size":[23],"ACC":[24,30,72],"0":[25,31,73],"\u2218":[26],"THR":[27,38],"circuits":[28,32,74],"(":[29,64],"with":[33,75],"bottom":[35],"layer":[36],"of":[37],"gates).":[39],"Previously,":[40],"it":[41],"was":[42],"even":[43],"open":[44],"whether":[45],"E":[46],"NP":[47],"can":[48],"(1/2+1/\u221an)-approximated":[50],"AC":[52],"0[\u2295]":[53],"circuits.":[54],"As":[55],"straightforward":[57],"application,":[58],"we":[59],"obtain":[60],"an":[61],"infinitely":[62],"often":[63],"NE":[65],"\u2229":[66],"coNE)/1-computable":[67],"pseudorandom":[68],"generator":[69],"poly-size":[71],"seed":[76],"length":[77],"2log\u0454":[78],",":[80],"\u0454":[83],">":[84],"0.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-24T07:32:12.397491","created_date":"2025-10-10T00:00:00"}