{"id":"https://openalex.org/W3015180136","doi":"https://doi.org/10.1109/isit44484.2020.9174063","title":"The Courtade-Kumar Most Informative Boolean Function Conjecture and a Symmetrized Li-M\u00e9dard Conjecture are Equivalent","display_name":"The Courtade-Kumar Most Informative Boolean Function Conjecture and a Symmetrized Li-M\u00e9dard Conjecture are Equivalent","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3015180136","doi":"https://doi.org/10.1109/isit44484.2020.9174063","mag":"3015180136"},"language":"en","primary_location":{"id":"doi:10.1109/isit44484.2020.9174063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.01277","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029028070","display_name":"Leighton Pate Barnes","orcid":"https://orcid.org/0000-0002-9472-2770"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leighton Pate Barnes","raw_affiliation_strings":["Stanford University,Stanford,CA,94305"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University,Stanford,CA,94305","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003322209","display_name":"Ayfer \u00d6zg\u00fcr","orcid":"https://orcid.org/0000-0002-4455-4692"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ayfer \u00d6zg\u00fcr","raw_affiliation_strings":["Stanford University,Stanford,CA,94305","Stanford University ()"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University,Stanford,CA,94305","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University ()","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2205","last_page":"2209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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":0.9976999759674072,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8866275548934937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6828089952468872},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6703516244888306},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6129259467124939},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5042706727981567},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4703775942325592},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.44318878650665283},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4088088572025299},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28617003560066223}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8866275548934937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6828089952468872},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6703516244888306},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6129259467124939},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5042706727981567},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4703775942325592},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.44318878650665283},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4088088572025299},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28617003560066223},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit44484.2020.9174063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2004.01277","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.01277","pdf_url":"https://arxiv.org/pdf/2004.01277","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3015180136","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.01277","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2004.01277","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.01277","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.01277","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.01277","pdf_url":"https://arxiv.org/pdf/2004.01277","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3015180136.pdf","grobid_xml":"https://content.openalex.org/works/W3015180136.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W579143973","https://openalex.org/W1891181203","https://openalex.org/W2038536144","https://openalex.org/W2242449912","https://openalex.org/W2962936649","https://openalex.org/W2963653371","https://openalex.org/W3102754027"],"related_works":["https://openalex.org/W3081331090","https://openalex.org/W2964216921","https://openalex.org/W2529777774","https://openalex.org/W3029977759","https://openalex.org/W3206202962","https://openalex.org/W2062747326","https://openalex.org/W3083543409","https://openalex.org/W2962701216","https://openalex.org/W3010990195","https://openalex.org/W824398093","https://openalex.org/W2952170090","https://openalex.org/W2299440965","https://openalex.org/W3102618960","https://openalex.org/W2076670073","https://openalex.org/W1533184809","https://openalex.org/W3021568495","https://openalex.org/W2925230889","https://openalex.org/W3093881334","https://openalex.org/W3103870832","https://openalex.org/W1999551182"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,26,38,56],"Courtade-Kumar":[3],"most":[4],"informative":[5],"Boolean":[6,46],"function":[7,75],"conjecture":[8,16],"for":[9,30],"balanced":[10,45],"functions,":[11],"as":[12,14,73],"well":[13],"a":[15,44,50,74],"by":[17],"Li":[18],"and":[19,41,78],"M\u00e9dard":[20],"that":[21,80],"dictatorship":[22],"functions":[23],"also":[24],"maximize":[25],"L\u03b1norm":[27],"of":[28,76],"Tpf":[29],"1":[31],"\u2264":[32,34],"\u03b1":[33],"2":[35],"where":[36],"Tpis":[37],"noise":[39],"operator":[40],"f":[42],"is":[43],"function.":[47],"By":[48],"using":[49],"result":[51],"due":[52],"to":[53,61],"Laguerre":[54],"from":[55],"1880's,":[57],"we":[58],"are":[59,84],"able":[60],"bound":[62],"how":[63],"many":[64],"times":[65],"an":[66],"L\u03b1-norm":[67],"related":[68],"quantity":[69],"can":[70],"cross":[71],"zero":[72],"\u03b1,":[77],"show":[79],"these":[81],"two":[82],"conjectures":[83],"essentially":[85],"equivalent.":[86]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
