{"id":"https://openalex.org/W2021147586","doi":"https://doi.org/10.1109/isit.2014.6874972","title":"Justification of logarithmic loss via the benefit of side information","display_name":"Justification of logarithmic loss via the benefit of side information","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2021147586","doi":"https://doi.org/10.1109/isit.2014.6874972","mag":"2021147586"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6874972","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6874972","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","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/A5034192173","display_name":"Jiantao Jiao","orcid":"https://orcid.org/0000-0003-3766-8031"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jiantao Jiao","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University","[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059985425","display_name":"Thomas A. Courtade","orcid":"https://orcid.org/0000-0001-7106-7358"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Courtade","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley","Dept. of Electr. Eng. & Comput. Sci., Univ. of California-Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Univ. of California-Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066970557","display_name":"Kartik Venkat","orcid":"https://orcid.org/0000-0002-7902-9724"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kartik Venkat","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University","[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043344688","display_name":"Tsachy Weissman","orcid":"https://orcid.org/0009-0008-1099-691X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tsachy Weissman","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University","[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034192173"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.0689,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88120821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"139","issue":null,"first_page":"946","last_page":"950"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.991599977016449,"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"}},"topics":[{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.991599977016449,"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"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9868999719619751,"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/estimator","display_name":"Estimator","score":0.6096680164337158},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6026399731636047},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5978245735168457},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5926347970962524},{"id":"https://openalex.org/keywords/causality","display_name":"Causality (physics)","score":0.5335310697555542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5253385901451111},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5025961399078369},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4965117573738098},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4715675711631775},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4715594947338104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41939181089401245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41613125801086426},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41424381732940674},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.413191556930542},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3878512978553772},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2632023096084595},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.255915105342865},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.191802978515625},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1164228618144989}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6096680164337158},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6026399731636047},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5978245735168457},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5926347970962524},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.5335310697555542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5253385901451111},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5025961399078369},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4965117573738098},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4715675711631775},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4715594947338104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41939181089401245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41613125801086426},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41424381732940674},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.413191556930542},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3878512978553772},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2632023096084595},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.255915105342865},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.191802978515625},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1164228618144989},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2014.6874972","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6874972","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1489262227","https://openalex.org/W1570963478","https://openalex.org/W1603444016","https://openalex.org/W1607114662","https://openalex.org/W1827585831","https://openalex.org/W1975139355","https://openalex.org/W1995875735","https://openalex.org/W2018640312","https://openalex.org/W2021147586","https://openalex.org/W2025371899","https://openalex.org/W2025720061","https://openalex.org/W2041782669","https://openalex.org/W2042980709","https://openalex.org/W2053710598","https://openalex.org/W2074932999","https://openalex.org/W2079656335","https://openalex.org/W2082484220","https://openalex.org/W2108871462","https://openalex.org/W2140911775","https://openalex.org/W2149570649","https://openalex.org/W2156939381","https://openalex.org/W2166524562","https://openalex.org/W2173267959","https://openalex.org/W2174375947","https://openalex.org/W2178225550","https://openalex.org/W2327198916","https://openalex.org/W3123899698","https://openalex.org/W3145190972","https://openalex.org/W4238051305","https://openalex.org/W4243223880","https://openalex.org/W4248220204","https://openalex.org/W6681130209"],"related_works":["https://openalex.org/W1771651560","https://openalex.org/W2962692142","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878","https://openalex.org/W2116374711","https://openalex.org/W4289976264"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,27,30,104],"natural":[3,31,105],"measure":[4,28,62,82],"of":[5,8,83,99,108],"the":[6,11,23,36,52,60,70,77,81,95,113],"benefit":[7,85],"side":[9,18],"information:":[10],"reduction":[12],"in":[13,94],"optimal":[14,53],"estimation":[15,54],"risk":[16,55],"when":[17,69],"information":[19,110],"is":[20,48,63,73],"available":[21],"to":[22,65],"estimator.":[24],"When":[25],"such":[26],"satisfies":[29],"data":[32],"processing":[33],"property,":[34],"and":[35,59,102],"source":[37,71],"alphabet":[38,72],"has":[39],"cardinality":[40],"greater":[41],"than":[42],"two,":[43],"we":[44,75],"show":[45],"that":[46],"it":[47],"uniquely":[49],"characterized":[50],"by":[51],"under":[56],"logarithmic":[57],"loss,":[58],"corresponding":[61],"equal":[64],"mutual":[66,109],"information.":[67],"Further,":[68],"binary,":[74],"characterize":[76],"only":[78],"admissible":[79],"forms":[80],"predictive":[84],"can":[86],"assume.":[87],"These":[88],"results":[89],"unify":[90],"many":[91],"causality":[92],"measures":[93],"literature":[96],"as":[97],"instantiations":[98],"directed":[100],"information,":[101],"present":[103],"axiomatic":[106],"characterization":[107],"without":[111],"requiring":[112],"sum":[114],"or":[115],"recursivity":[116],"property.":[117]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
