{"id":"https://openalex.org/W2117660206","doi":"https://doi.org/10.1145/2554797.2554806","title":"Decision trees, protocols and the entropy-influence conjecture","display_name":"Decision trees, protocols and the entropy-influence conjecture","publication_year":2014,"publication_date":"2014-01-12","ids":{"openalex":"https://openalex.org/W2117660206","doi":"https://doi.org/10.1145/2554797.2554806","mag":"2117660206"},"language":"en","primary_location":{"id":"doi:10.1145/2554797.2554806","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2554797.2554806","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th conference on Innovations in theoretical computer science","raw_type":"proceedings-article"},"type":"article","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/A5109311357","display_name":"Andrew Wan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Wan","raw_affiliation_strings":["Simons Institute, U.C. Berkeley, Berkeley, CA, USA","Simons Institute, U.C. Berkeley, Berkeley, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simons Institute, U.C. Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I4210107338","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Simons Institute, U.C. Berkeley, Berkeley, CA, USA#TAB#","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015430753","display_name":"John C. Wright","orcid":"https://orcid.org/0000-0002-6926-1837"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Wright","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, USA","Carnegie-Mellon University, Pittsburgh, Pa., USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie-Mellon University, Pittsburgh, Pa., USA#TAB#","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046439614","display_name":"Chenggang Wu","orcid":"https://orcid.org/0000-0003-1777-8110"},"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":"Chenggang Wu","raw_affiliation_strings":["IIIS, Tsinghua University, Beijing, China","IIIS,Tsinghua University, Beijing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIIS, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"IIIS,Tsinghua University, Beijing, China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8458,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.82137742,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"67","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","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/T12072","display_name":"Machine Learning and Algorithms","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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9857000112533569,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9843000173568726,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8166866898536682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7141542434692383},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6009860634803772},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5806432962417603},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.5434222221374512},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.47859713435173035},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4784512519836426},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.47331178188323975},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.44604694843292236},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44550246000289917},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.29600659012794495},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.22832754254341125},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2172659933567047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15575823187828064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14247697591781616},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06454965472221375}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8166866898536682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7141542434692383},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6009860634803772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5806432962417603},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.5434222221374512},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.47859713435173035},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4784512519836426},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.47331178188323975},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.44604694843292236},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44550246000289917},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.29600659012794495},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.22832754254341125},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2172659933567047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15575823187828064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14247697591781616},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06454965472221375}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2554797.2554806","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2554797.2554806","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th conference on Innovations in theoretical computer science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1507505284","https://openalex.org/W1529556207","https://openalex.org/W1604065510","https://openalex.org/W1891181203","https://openalex.org/W1899006432","https://openalex.org/W1995875735","https://openalex.org/W2147306258","https://openalex.org/W2150670192","https://openalex.org/W2400975954","https://openalex.org/W2964092205"],"related_works":["https://openalex.org/W2787163834","https://openalex.org/W2096706202","https://openalex.org/W2139507220","https://openalex.org/W2742795413","https://openalex.org/W2130509588","https://openalex.org/W2271169255","https://openalex.org/W1978200523","https://openalex.org/W2127945237","https://openalex.org/W2952724564","https://openalex.org/W2131077867"],"abstract_inverted_index":{"Given":[0],"\u0192":[1,14],":":[2],"{--1,":[3],"1}n":[4],"\u2192":[5],"{--":[6],"1,":[7],"1},":[8],"define":[9],"the":[10,17,25,34,62,72,82,87],"spectral":[11,67],"distribution":[12,18],"of":[13,21,39,65,75,81,89],"to":[15],"be":[16],"on":[19],"subsets":[20],"[n]":[22],"in":[23,86],"which":[24],"set":[26],"S":[27],"is":[28,47,71,79],"sampled":[29],"with":[30],"probability":[31],"\u0192(S)2.":[32],"Then":[33],"Fourier":[35],"Entropy-Influence":[36],"(FEI)":[37],"conjecture":[38,78],"Friedgut":[40],"and":[41,69,92],"Kalai":[42],"[2]":[43],"states":[44],"that":[45,53],"there":[46],"some":[48],"absolute":[49],"constant":[50],"C":[51,56],"such":[52],"H[\u01922]":[54,60],"\u2264":[55],"\u22c5":[57],"Inf[\u0192].":[58],"Here,":[59],"denotes":[61],"Shannon":[63],"entropy":[64],"\u0192's":[66],"distribution,":[68],"Inf[\u0192]":[70],"total":[73],"influence":[74],"\u0192.":[76],"This":[77],"one":[80],"major":[83],"open":[84],"problems":[85],"analysis":[88],"Boolean":[90],"functions,":[91],"settling":[93],"it":[94],"would":[95],"have":[96],"several":[97],"interesting":[98],"consequences.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}