{"id":"https://openalex.org/W2019368591","doi":"https://doi.org/10.1109/itw.2012.6404674","title":"Characterizing the entropy function region via extreme rays","display_name":"Characterizing the entropy function region via extreme rays","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2019368591","doi":"https://doi.org/10.1109/itw.2012.6404674","mag":"2019368591"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404674","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404674","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","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/A5101470393","display_name":"Qi Chen","orcid":"https://orcid.org/0000-0002-5977-1585"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Chen","raw_affiliation_strings":["Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong","Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong#TAB#","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038760786","display_name":"Raymond W. Yeung","orcid":"https://orcid.org/0000-0001-7386-4027"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Raymond W. Yeung","raw_affiliation_strings":["Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong","Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong#TAB#","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101470393"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.4209,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.60467122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"272","last_page":"276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10725","display_name":"RNA Interference and Gene Delivery","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12672","display_name":"Phagocytosis and Immune Regulation","score":0.9072999954223633,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4616571366786957},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4446902871131897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36493295431137085},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2180337905883789},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11795186996459961},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07997837662696838},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.07141128182411194}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4616571366786957},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4446902871131897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36493295431137085},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2180337905883789},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11795186996459961},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07997837662696838},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.07141128182411194}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2012.6404674","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404674","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W108696806","https://openalex.org/W1597196612","https://openalex.org/W2000245323","https://openalex.org/W2029427729","https://openalex.org/W2057878779","https://openalex.org/W2062154999","https://openalex.org/W2113940092","https://openalex.org/W2114325434","https://openalex.org/W2130864742","https://openalex.org/W2131304595","https://openalex.org/W2140678653","https://openalex.org/W2143203964","https://openalex.org/W2147681281","https://openalex.org/W2151555436","https://openalex.org/W4206570602","https://openalex.org/W4210631977","https://openalex.org/W4249667877","https://openalex.org/W6664676108"],"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/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Contrary":[0],"to":[1],"the":[2,11,53],"traditional":[3],"method":[4],"of":[5,33,46,55],"information":[6],"inequalities,":[7],"in":[8],"this":[9],"paper,":[10],"entropy":[12],"function":[13],"region":[14,38],"\u0393":[15,39,47,56],"<sub":[16,24,40,48,57,66],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,25,41,49,58,67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[18,26,42,59,68],"*":[19,27,51,69],"and":[20,52],"its":[21,34],"closure":[22],"\u0305\u0393":[23,65],"are":[28,70],"characterized":[29],"via":[30],"extreme":[31],"rays":[32],"outer":[35,62],"bound":[36,63],"polymatroidal":[37],".":[43],"The":[44],"characterization":[45],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sub>":[50],"tightness":[54],"as":[60],"an":[61],"on":[64],"studied.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}