{"id":"https://openalex.org/W2963231830","doi":"https://doi.org/10.1145/3188745.3188842","title":"Distribution-free junta testing","display_name":"Distribution-free junta testing","publication_year":2018,"publication_date":"2018-06-20","ids":{"openalex":"https://openalex.org/W2963231830","doi":"https://doi.org/10.1145/3188745.3188842","mag":"2963231830"},"language":"en","primary_location":{"id":"doi:10.1145/3188745.3188842","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188842","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188842","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th 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/10.1145/3188745.3188842","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101597241","display_name":"Zhengyang Liu","orcid":"https://orcid.org/0000-0003-2028-5958"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengyang Liu","raw_affiliation_strings":["Shanghai Jiao Tong University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100329834","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0001-5661-515X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Columbia University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014866889","display_name":"Rocco A. Servedio","orcid":"https://orcid.org/0000-0003-2407-543X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rocco A. Servedio","raw_affiliation_strings":["Columbia University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032923657","display_name":"Ying Sheng","orcid":"https://orcid.org/0000-0002-3012-507X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Sheng","raw_affiliation_strings":["Columbia University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046914067","display_name":"Jinyu Xie","orcid":"https://orcid.org/0000-0003-4945-9923"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinyu Xie","raw_affiliation_strings":["Columbia University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1764,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93239023,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"749","last_page":"759"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9955000281333923,"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":0.9955000281333923,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9951000213623047,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4523013234138489}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4523013234138489}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3188745.3188842","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188842","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188842","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3188745.3188842","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188842","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188842","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3645694610","display_name":"AF: Medium: New Frontiers in Equilibrium Computation","funder_award_id":"1703925","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5758580083","display_name":null,"funder_award_id":"CCF-1703925, CCF-1420349, CCF-1563155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6269157484","display_name":"AF: Small: Linear and Polynomial Threshold Functions: Structural Analysis and Algorithmic Applications","funder_award_id":"1420349","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7640071255","display_name":null,"funder_award_id":"CCF-1563155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8728025545","display_name":"AF: Medium: Collaborative Research:  Circuit Lower Bounds via Projections","funder_award_id":"1563155","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963231830.pdf","grobid_xml":"https://content.openalex.org/works/W2963231830.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W621782861","https://openalex.org/W970692799","https://openalex.org/W1598302191","https://openalex.org/W1970630090","https://openalex.org/W1988511047","https://openalex.org/W2009813398","https://openalex.org/W2012797687","https://openalex.org/W2018925011","https://openalex.org/W2019363670","https://openalex.org/W2032083353","https://openalex.org/W2038521541","https://openalex.org/W2053267965","https://openalex.org/W2055194501","https://openalex.org/W2064609684","https://openalex.org/W2074868939","https://openalex.org/W2084369441","https://openalex.org/W2085693797","https://openalex.org/W2100732817","https://openalex.org/W2136370860","https://openalex.org/W2146453677","https://openalex.org/W2154224414","https://openalex.org/W2163509629","https://openalex.org/W2185821349","https://openalex.org/W2186390088","https://openalex.org/W2212352090","https://openalex.org/W2229615128","https://openalex.org/W2244431488","https://openalex.org/W2267350596","https://openalex.org/W2293110051","https://openalex.org/W2511875082","https://openalex.org/W2516351643","https://openalex.org/W2568354864","https://openalex.org/W2572640849","https://openalex.org/W2593853527","https://openalex.org/W2608070467","https://openalex.org/W2758189242","https://openalex.org/W2786696294","https://openalex.org/W2914377170","https://openalex.org/W2914539165","https://openalex.org/W2925156518","https://openalex.org/W2949466244","https://openalex.org/W2952693897","https://openalex.org/W2963481210","https://openalex.org/W2964146933","https://openalex.org/W2964215529","https://openalex.org/W3004537778","https://openalex.org/W3139895219","https://openalex.org/W3142201492","https://openalex.org/W4238893454","https://openalex.org/W4241342151"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,16,22,98,124],"problem":[3],"of":[4,63,102,128],"testing":[5,19,47,81,105,110,129],"whether":[6],"an":[7,31,55,120],"unknown":[8,34],"n-variable":[9],"Boolean":[10],"function":[11],"is":[12,26,43,71,106,112],"a":[13,72],"k-junta":[14,46,80,104],"in":[15,123],"distribution-free":[17,45,79,125],"property":[18],"model,":[20],"where":[21],"distance":[23],"between":[24],"functions":[25],"measured":[27],"with":[28,51],"respect":[29],"to":[30,88,90],"arbitrary":[32],"and":[33,114],"probability":[35],"distribution":[36],"over":[37],"{0,1}n.":[38],"Our":[39],"first":[40],"main":[41,69],"result":[42,70],"that":[44,58,76,96,117],"can":[48],"be":[49],"performed,":[50],"one-sided":[52],"error,":[53],"by":[54],"adaptive":[56,109],"algorithm":[57,82],"uses":[59],"\u00d5(k2)/\u0454":[60],"queries":[61,86],"(independent":[62],"n).":[64],"Complementing":[65],"this,":[66],"our":[67],"second":[68],"lower":[73],"bound":[74],"showing":[75],"any":[77],"non-adaptive":[78,103],"must":[83],"make":[84],"\u03a9(2k/3)":[85],"even":[87],"test":[89],"accuracy":[91],"\u0454=1/3.":[92],"These":[93],"bounds":[94],"establish":[95],"while":[97],"optimal":[99],"query":[100,126],"complexity":[101,127],"2\u0398(k),":[107],"for":[108],"it":[111],"poly(k),":[113],"thus":[115],"show":[116],"adaptivity":[118],"provides":[119],"exponential":[121],"improvement":[122],"juntas.":[130]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}