{"id":"https://openalex.org/W4310985567","doi":"https://doi.org/10.1109/itw54588.2022.9965866","title":"An Extremal Inequality With Application to Gray-Wyner System","display_name":"An Extremal Inequality With Application to Gray-Wyner System","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4310985567","doi":"https://doi.org/10.1109/itw54588.2022.9965866"},"language":"en","primary_location":{"id":"doi:10.1109/itw54588.2022.9965866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965866","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Information Theory Workshop (ITW)","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/A5100623859","display_name":"Guojun Chen","orcid":"https://orcid.org/0000-0002-5896-2865"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guojun Chen","raw_affiliation_strings":["Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014227402","display_name":"Yinfei Xu","orcid":"https://orcid.org/0000-0003-3191-6903"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinfei Xu","raw_affiliation_strings":["Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096"],"affiliations":[{"raw_affiliation_string":"Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022040924","display_name":"Tiecheng Song","orcid":"https://orcid.org/0000-0002-9505-0179"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tiecheng Song","raw_affiliation_strings":["Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101614498","display_name":"Jing Hu","orcid":"https://orcid.org/0000-0001-7134-2532"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Hu","raw_affiliation_strings":["Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,National Mobile Communication Research Laboratory,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100623859"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19105944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":null,"first_page":"273","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9872000217437744,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9872000217437744,"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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9620000123977661,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/converse","display_name":"Converse","score":0.9104493856430054},{"id":"https://openalex.org/keywords/subadditivity","display_name":"Subadditivity","score":0.8723754286766052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6911178231239319},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.595507025718689},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5935731530189514},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.567255973815918},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5136984586715698},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.46157869696617126},{"id":"https://openalex.org/keywords/log-sum-inequality","display_name":"Log sum inequality","score":0.44902148842811584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4374627470970154},{"id":"https://openalex.org/keywords/gray-code","display_name":"Gray code","score":0.4368038773536682},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33297157287597656},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3201610743999481},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2417207956314087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20550867915153503}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.9104493856430054},{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.8723754286766052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6911178231239319},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.595507025718689},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5935731530189514},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.567255973815918},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5136984586715698},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.46157869696617126},{"id":"https://openalex.org/C46979015","wikidata":"https://www.wikidata.org/wiki/Q6666859","display_name":"Log sum inequality","level":3,"score":0.44902148842811584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4374627470970154},{"id":"https://openalex.org/C129861397","wikidata":"https://www.wikidata.org/wiki/Q332772","display_name":"Gray code","level":2,"score":0.4368038773536682},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33297157287597656},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3201610743999481},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2417207956314087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20550867915153503},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw54588.2022.9965866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965866","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337504","display_name":"Research and Development","ror":"https://ror.org/027s68j25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1965042169","https://openalex.org/W2056803208","https://openalex.org/W2117256830","https://openalex.org/W2185076962","https://openalex.org/W2244961551","https://openalex.org/W2583932153","https://openalex.org/W2773633221","https://openalex.org/W2899569130","https://openalex.org/W2975007897","https://openalex.org/W2993370957","https://openalex.org/W3023933872","https://openalex.org/W3211353152","https://openalex.org/W4289655224","https://openalex.org/W4300840296","https://openalex.org/W6686073604"],"related_works":["https://openalex.org/W4288374528","https://openalex.org/W2942373159","https://openalex.org/W4391157351","https://openalex.org/W4245471134","https://openalex.org/W2966385870","https://openalex.org/W4283790219","https://openalex.org/W4229082972","https://openalex.org/W2010449655","https://openalex.org/W2080624030","https://openalex.org/W1624482484"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,10],"new":[4,71],"extremal":[5,21,72],"inequality":[6],"and":[7],"proves":[8],"that":[9],"Gaussian":[11,61],"distribution":[12],"is":[13,27,67],"one":[14],"of":[15,25,46,54,58],"the":[16,30,35,44,51,55,59],"solutions":[17],"to":[18,42],"hold":[19],"this":[20,70],"inequality.":[22,74],"The":[23],"method":[24],"factorization":[26],"applied":[28],"in":[29,38],"proof.":[31],"We":[32],"also":[33],"exploit":[34],"chain":[36],"rule":[37],"two":[39],"separate":[40],"ways":[41],"establish":[43],"subadditivity":[45],"factorization.":[47],"As":[48],"an":[49],"application,":[50],"converse":[52],"part":[53],"rate-distortion":[56],"problem":[57],"quadratic":[60],"Gray-Wyner":[62],"system":[63],"with":[64],"single-letter":[65],"characterization":[66],"solved":[68],"using":[69],"entropy":[73]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}