{"id":"https://openalex.org/W2151621597","doi":"https://doi.org/10.1109/isit.2004.1365065","title":"Information closures of exponential families","display_name":"Information closures of exponential families","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2151621597","doi":"https://doi.org/10.1109/isit.2004.1365065","mag":"2151621597"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365065","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365065","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","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/A5026417214","display_name":"Imre Csisz\u00e1r","orcid":"https://orcid.org/0000-0003-1936-2012"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I198412221","display_name":"HUN-REN Institute for Nuclear Research","ror":"https://ror.org/006vxbq87","country_code":"HU","type":"facility","lineage":["https://openalex.org/I198412221","https://openalex.org/I4387152226"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"I. Csiszar","raw_affiliation_strings":["R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences (ATOMKI), Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences (ATOMKI), Budapest, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I198412221","https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":null,"display_name":"F. Matus","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"F. Matus","raw_affiliation_strings":["Institute of Inform. Theory and Automation, Academy of Sciences\uc2a0of the\uc2a0Czech Republic, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Inform. Theory and Automation, Academy of Sciences\uc2a0of the\uc2a0Czech Republic, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026417214"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I198412221","https://openalex.org/I7597260"],"apc_list":null,"apc_paid":null,"fwci":0.2543,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60062337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"28","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9742000102996826,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.954200029373169,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/closure","display_name":"Closure (psychology)","score":0.8018893003463745},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.7240406274795532},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7042052149772644},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6643034219741821},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6449904441833496},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.6315439343452454},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5857531428337097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5856654644012451},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.439419150352478},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3531721830368042},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33195990324020386},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31032952666282654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30178046226501465},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15674683451652527},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11666333675384521},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09833785891532898}],"concepts":[{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.8018893003463745},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.7240406274795532},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7042052149772644},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6643034219741821},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6449904441833496},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.6315439343452454},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5857531428337097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5856654644012451},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.439419150352478},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3531721830368042},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33195990324020386},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31032952666282654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30178046226501465},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15674683451652527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11666333675384521},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09833785891532898},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365065","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365065","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"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":5,"referenced_works":["https://openalex.org/W107085514","https://openalex.org/W646945617","https://openalex.org/W2009260316","https://openalex.org/W2086776773","https://openalex.org/W2110156410"],"related_works":["https://openalex.org/W315394019","https://openalex.org/W2923398117","https://openalex.org/W4309585848","https://openalex.org/W2265383332","https://openalex.org/W4328130279","https://openalex.org/W2105009749","https://openalex.org/W4299387245","https://openalex.org/W3208095355","https://openalex.org/W2765469179","https://openalex.org/W2083129711"],"abstract_inverted_index":{"The":[0],"closure":[1,39],"in":[2,23,40,56],"variation":[3,46,52],"distance":[4],"of":[5,12,15,25,28,30,48],"any":[6],"subfamily":[7],"with":[8],"a":[9],"convex":[10],"set":[11],"canonical":[13],"parameters":[14],"an":[16],"exponential":[17,33],"family":[18],"has":[19],"been":[20],"described":[21],"previously,":[22],"terms":[24],"the":[26,31,38,57],"concept":[27],"extension":[29,58],"full":[32],"family.":[34],"This":[35],"contribution":[36],"describes":[37],"reversed":[41],"information":[42],"divergence":[43],"(rI-closure),":[44],"via":[45],"closures":[47],"auxiliary":[49],"subfamilies.":[50],"Also,":[51],"convergence":[53],"and":[54],"rI-convergence":[55],"are":[59],"characterized.":[60]},"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}
