{"id":"https://openalex.org/W4310902000","doi":"https://doi.org/10.1109/itw54588.2022.9965843","title":"Information-theoretic de Finetti-style theorems","display_name":"Information-theoretic de Finetti-style theorems","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4310902000","doi":"https://doi.org/10.1109/itw54588.2022.9965843"},"language":"en","primary_location":{"id":"doi:10.1109/itw54588.2022.9965843","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965843","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","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 Information Theory Workshop (ITW)","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/A5050641868","display_name":"Lampros Gavalakis","orcid":"https://orcid.org/0000-0003-3011-9435"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Lampros Gavalakis","raw_affiliation_strings":["University of Cambridge,Department of Engineering,Cambridge,UK","Department of Engineering, University of Cambridge, Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"University of Cambridge,Department of Engineering,Cambridge,UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044225058","display_name":"Ioannis Kontoyiannis","orcid":"https://orcid.org/0000-0001-7242-6375"},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["CY","GB"],"is_corresponding":false,"raw_author_name":"Ioannis Kontoyiannis","raw_affiliation_strings":["University of Cambridge,Statistical Laboratory,Cambridge,UK","Statistical Laboratory, University of Cambridge, Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"University of Cambridge,Statistical Laboratory,Cambridge,UK","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210152479"]},{"raw_affiliation_string":"Statistical Laboratory, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050641868"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.1039,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.30968541,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9796000123023987,"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/T10320","display_name":"Neural Networks and Applications","score":0.9265999794006348,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematical-proof","display_name":"Mathematical proof","score":0.6158820986747742},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.5917902588844299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5833268761634827},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5791584253311157},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.55438232421875},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4857088029384613},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4793882369995117},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4588513970375061},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"Representation theorem","score":0.44041967391967773},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.43357226252555847},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.43266069889068604},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.43201541900634766}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6158820986747742},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.5917902588844299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5833268761634827},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5791584253311157},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.55438232421875},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4857088029384613},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4793882369995117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4588513970375061},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.44041967391967773},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.43357226252555847},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.43266069889068604},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.43201541900634766},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw54588.2022.9965843","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965843","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","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 Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W148564650","https://openalex.org/W932641379","https://openalex.org/W1518159153","https://openalex.org/W1544500240","https://openalex.org/W1549664537","https://openalex.org/W1551558821","https://openalex.org/W1973429478","https://openalex.org/W1974326360","https://openalex.org/W1995453127","https://openalex.org/W2035364928","https://openalex.org/W2041995595","https://openalex.org/W2054673836","https://openalex.org/W2078645667","https://openalex.org/W2102890221","https://openalex.org/W2104686740","https://openalex.org/W2122882636","https://openalex.org/W2130334134","https://openalex.org/W2130926302","https://openalex.org/W2135057628","https://openalex.org/W2139771873","https://openalex.org/W2154518298","https://openalex.org/W2160709761","https://openalex.org/W2210387432","https://openalex.org/W2217094038","https://openalex.org/W2341773286","https://openalex.org/W2386819303","https://openalex.org/W2890925093","https://openalex.org/W3110972385","https://openalex.org/W3150962388","https://openalex.org/W4300906761","https://openalex.org/W4376624861","https://openalex.org/W6606084189","https://openalex.org/W6810132678"],"related_works":["https://openalex.org/W2951801950","https://openalex.org/W1987264987","https://openalex.org/W4297670780","https://openalex.org/W1482189126","https://openalex.org/W2122857041","https://openalex.org/W162901985","https://openalex.org/W1539131693","https://openalex.org/W3102821031","https://openalex.org/W2361764490","https://openalex.org/W2155079033"],"abstract_inverted_index":{"We":[0],"review":[1,76],"information-theoretic":[2,18,79],"approaches":[3],"to":[4,53],"obtaining":[5],"simple":[6],"probabilistic":[7],"representations":[8],"for":[9,86,98,134],"sequences":[10],"of":[11,20,23,40,44,56,64,101,128,142,146],"exchangeable":[12,48],"random":[13,49,88],"variables.":[14],"Specifically,":[15],"we":[16,75,92],"examine":[17],"proofs":[19],"finite":[21,82,103],"versions":[22],"de":[24,83],"Finetti\u2019s":[25],"celebrated":[26],"representation":[27],"theorem.":[28],"Such":[29],"results":[30],"state,":[31],"in":[32,62,116],"a":[33,54,77,81,94],"quantitative":[34],"manner,":[35],"that":[36],"the":[37,41,65,99,112,140],"joint":[38],"distribution":[39],"first":[42],"k":[43,47],"n":[45],">":[46],"variables":[50],"is":[51,60,108,149],"close":[52],"mixture":[55],"product":[57],"distributions.":[58],"Closeness":[59],"measured":[61],"terms":[63],"relative":[66],"entropy":[67],"and":[68,90,121],"explicit":[69],"bounds":[70],"are":[71,137],"typically":[72],"provided.":[73],"First":[74],"recent":[78],"proof":[80,97,107],"Finetti":[84],"theorem":[85],"binary":[87],"variables,":[89],"then":[91],"give":[93],"different,":[95],"new":[96],"case":[100],"arbitrary":[102],"alphabets.":[104],"This":[105],"second":[106],"nicely":[109],"motivated":[110],"by":[111],"Gibbs":[113],"conditioning":[114],"principle":[115],"connection":[117],"with":[118],"statistical":[119],"mechanics,":[120],"it":[122],"follows":[123],"along":[124],"an":[125],"appealing":[126],"sequence":[127],"steps.":[129],"The":[130],"technical":[131],"estimates":[132],"required":[133],"these":[135],"steps":[136],"obtained":[138],"via":[139],"method":[141],"types.A":[143],"full":[144],"version":[145],"this":[147],"paper":[148],"available":[150],"online":[151],"as":[152],"[23].":[153]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
