{"id":"https://openalex.org/W2154945989","doi":"https://doi.org/10.1109/tit.1979.1056113","title":"Axiomatic characterization of the directed divergences and their linear combinations","display_name":"Axiomatic characterization of the directed divergences and their linear combinations","publication_year":1979,"publication_date":"1979-11-01","ids":{"openalex":"https://openalex.org/W2154945989","doi":"https://doi.org/10.1109/tit.1979.1056113","mag":"2154945989"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1979.1056113","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1979.1056113","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5101427209","display_name":"Ryan F. Johnson","orcid":"https://orcid.org/0000-0003-1246-8076"},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. Johnson","raw_affiliation_strings":["Naval Research Laboratory, Inc., Washington D.C., DC, USA"],"affiliations":[{"raw_affiliation_string":"Naval Research Laboratory, Inc., Washington D.C., DC, USA","institution_ids":["https://openalex.org/I1288214837"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101427209"],"corresponding_institution_ids":["https://openalex.org/I1288214837"],"apc_list":null,"apc_paid":null,"fwci":2.8116,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.91365157,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"6","first_page":"709","last_page":"716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9983999729156494,"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":0.9983999729156494,"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":0.9503999948501587,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.733845055103302},{"id":"https://openalex.org/keywords/additive-function","display_name":"Additive function","score":0.5636686086654663},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4351111948490143},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.428475558757782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42832261323928833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3955828547477722},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32364726066589355}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.733845055103302},{"id":"https://openalex.org/C38803922","wikidata":"https://www.wikidata.org/wiki/Q95745348","display_name":"Additive function","level":2,"score":0.5636686086654663},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4351111948490143},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.428475558757782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42832261323928833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3955828547477722},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32364726066589355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/tit.1979.1056113","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1979.1056113","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1593125407","https://openalex.org/W1968076658","https://openalex.org/W1998234377","https://openalex.org/W2014960773","https://openalex.org/W2074627567","https://openalex.org/W2089611415","https://openalex.org/W2123838014","https://openalex.org/W2139494290","https://openalex.org/W2183406252","https://openalex.org/W2294604761","https://openalex.org/W2778716599","https://openalex.org/W2796444471","https://openalex.org/W4249186015"],"related_works":["https://openalex.org/W2369066770","https://openalex.org/W2979338343","https://openalex.org/W1509471222","https://openalex.org/W2077103236","https://openalex.org/W2506684035","https://openalex.org/W2972015066","https://openalex.org/W2157462672","https://openalex.org/W1981051845","https://openalex.org/W3000608693","https://openalex.org/W2061286388"],"abstract_inverted_index":{"The":[0],"directed":[1,44,69],"divergences":[2,70],"of":[3,42,57,83,99],"two":[4,104],"probability":[5],"densities":[6],"<tex":[7,11,17,29,33],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,12,18,30,34],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</tex>":[9,31],"and":[10,23,32,53,71,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</tex>":[13,35],"are":[14,79,89,105],"given":[15],"by":[16,24,81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\int":[19],"p(x)":[20],"\\log":[21],"(p(x)/q(x))dx</tex>":[22],"the":[25,37,40,43,55,68,77,97,100,102],"same":[26],"expression":[27],"with":[28],"interchanged;":[36],"divergence":[38],"is":[39,65],"sum":[41],"divergences.":[45],"These":[46],"quantities":[47],"have":[48],"applications":[49],"in":[50,91],"information":[51],"theory":[52],"to":[54,62,107],"problem":[56],"assigning":[58],"prior":[59,94],"probabilities":[60],"subject":[61],"constraints.":[63],"It":[64],"shown":[66,106],"that":[67],"their":[72],"positive":[73],"linear":[74],"combinations,":[75],"including":[76],"divegeoce,":[78],"characterized":[80],"axioms":[82],"\\it{positivity,":[84],"additivity},":[85],"\\it{finiteness},":[87],"which":[88],"fundamental":[90],"work":[92],"on":[93],"probabilities.":[95],"In":[96],"course":[98],"proof,":[101],"latter":[103],"imply":[108],"yet":[109],"another":[110],"axiom:":[111],"\\it{linear":[112],"invariance}.":[113]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
