{"id":"https://openalex.org/W4289713097","doi":"https://doi.org/10.1109/isit50566.2022.9834498","title":"A New Proof of the Extremal Inequality","display_name":"A New Proof of the Extremal Inequality","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289713097","doi":"https://doi.org/10.1109/isit50566.2022.9834498"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834498","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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 International Symposium on Information Theory (ISIT)","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/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":true,"raw_author_name":"Yinfei Xu","raw_affiliation_strings":["Southeast University,Nanjing,China,210096"],"affiliations":[{"raw_affiliation_string":"Southeast University,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","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":false,"raw_author_name":"Guojun Chen","raw_affiliation_strings":["Southeast University,Nanjing,China,210096"],"affiliations":[{"raw_affiliation_string":"Southeast University,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013079905","display_name":"Shi Jin","orcid":"https://orcid.org/0000-0003-0271-6021"},"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":"Shi Jin","raw_affiliation_strings":["Southeast University,Nanjing,China,210096"],"affiliations":[{"raw_affiliation_string":"Southeast University,Nanjing,China,210096","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014227402"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.3219,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.37465204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"946","last_page":"950"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9968000054359436,"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":0.9968000054359436,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9962999820709229,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/monotone-polygon","display_name":"Monotone polygon","score":0.6834617853164673},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5437989234924316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5373031497001648},{"id":"https://openalex.org/keywords/log-sum-inequality","display_name":"Log sum inequality","score":0.5332391262054443},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5327064394950867},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4838927686214447},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.43883803486824036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41600173711776733},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40975672006607056},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3580209016799927},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35438072681427},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3482740521430969},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14800208806991577}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6834617853164673},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5437989234924316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5373031497001648},{"id":"https://openalex.org/C46979015","wikidata":"https://www.wikidata.org/wiki/Q6666859","display_name":"Log sum inequality","level":3,"score":0.5332391262054443},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5327064394950867},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4838927686214447},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.43883803486824036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41600173711776733},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40975672006607056},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3580209016799927},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35438072681427},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3482740521430969},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14800208806991577},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834498","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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 International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1965042169","https://openalex.org/W1979131662","https://openalex.org/W1995875735","https://openalex.org/W2015072413","https://openalex.org/W2030546921","https://openalex.org/W2043371182","https://openalex.org/W2056129277","https://openalex.org/W2060385240","https://openalex.org/W2102742494","https://openalex.org/W2144094762","https://openalex.org/W2149320643","https://openalex.org/W2171750587","https://openalex.org/W3196788406","https://openalex.org/W6800719695"],"related_works":["https://openalex.org/W2054924475","https://openalex.org/W1978394307","https://openalex.org/W2092244978","https://openalex.org/W2940853081","https://openalex.org/W2084358402","https://openalex.org/W3131472689","https://openalex.org/W2099978435","https://openalex.org/W4302360549","https://openalex.org/W2091803403","https://openalex.org/W1994701945"],"abstract_inverted_index":{"The":[0,27],"extremal":[1],"inequality":[2],"approach":[3],"plays":[4],"a":[5,18],"key":[6],"role":[7],"in":[8,23],"network":[9],"information":[10],"theory":[11],"problems.":[12],"In":[13],"this":[14],"paper,":[15],"we":[16],"propose":[17],"novel":[19],"monotone":[20],"path":[21],"construction":[22],"product":[24],"probability":[25],"space.":[26],"optimality":[28],"of":[29],"Gaussian":[30],"distribution":[31],"is":[32],"then":[33],"established":[34],"by":[35],"standard":[36],"perturbation":[37],"arguments.":[38]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
