{"id":"https://openalex.org/W2584242403","doi":"https://doi.org/10.1017/s1755020316000502","title":"GENERAL PROPERTIES OF BAYESIAN LEARNING AS STATISTICAL INFERENCE DETERMINED BY CONDITIONAL EXPECTATIONS","display_name":"GENERAL PROPERTIES OF BAYESIAN LEARNING AS STATISTICAL INFERENCE DETERMINED BY CONDITIONAL EXPECTATIONS","publication_year":2017,"publication_date":"2017-02-27","ids":{"openalex":"https://openalex.org/W2584242403","doi":"https://doi.org/10.1017/s1755020316000502","mag":"2584242403"},"language":"en","primary_location":{"id":"doi:10.1017/s1755020316000502","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1755020316000502","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/78D0F1C0942C640CF824D0A192460B8D/S1755020316000502a.pdf/div-class-title-general-properties-of-bayesian-learning-as-statistical-inference-determined-by-conditional-expectations-div.pdf","source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/78D0F1C0942C640CF824D0A192460B8D/S1755020316000502a.pdf/div-class-title-general-properties-of-bayesian-learning-as-statistical-inference-determined-by-conditional-expectations-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037562631","display_name":"Zal\u00e1n Gyenis","orcid":"https://orcid.org/0000-0003-2058-1255"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"ZAL\u00c1N GYENIS","raw_affiliation_strings":["Department of Algebra, Budapest University of Technology and Economics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Algebra, Budapest University of Technology and Economics","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081039593","display_name":"Mikl\u00f3s R\u00e9dei","orcid":"https://orcid.org/0000-0001-5298-1443"},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"MIKL\u00d3S R\u00c9DEI","raw_affiliation_strings":["Department of Philosophy, Logic and Scientific Method London School of Economics and Political Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Logic and Scientific Method London School of Economics and Political Science","institution_ids":["https://openalex.org/I909854389"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037562631","https://openalex.org/A5081039593"],"corresponding_institution_ids":["https://openalex.org/I29770179","https://openalex.org/I909854389"],"apc_list":null,"apc_paid":null,"fwci":2.0808,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89858162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"4","first_page":"719","last_page":"755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9976999759674072,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9976999759674072,"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/T11477","display_name":"Epistemology, Ethics, and Metaphysics","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.7631406784057617},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.5818115472793579},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"Conditional probability","score":0.572695255279541},{"id":"https://openalex.org/keywords/bayes-rule","display_name":"Bayes' rule","score":0.5442197918891907},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5282049775123596},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5141606330871582},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.5103930830955505},{"id":"https://openalex.org/keywords/bayes-factor","display_name":"Bayes factor","score":0.4957214593887329},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.48359888792037964},{"id":"https://openalex.org/keywords/bayesian-statistics","display_name":"Bayesian statistics","score":0.4581737518310547},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4581640362739563},{"id":"https://openalex.org/keywords/bayesian-programming","display_name":"Bayesian programming","score":0.42906489968299866},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.41882413625717163},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.41113582253456116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34542176127433777},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.184199720621109}],"concepts":[{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.7631406784057617},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5818115472793579},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.572695255279541},{"id":"https://openalex.org/C99087107","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' rule","level":5,"score":0.5442197918891907},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5282049775123596},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5141606330871582},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.5103930830955505},{"id":"https://openalex.org/C142291917","wikidata":"https://www.wikidata.org/wiki/Q4165283","display_name":"Bayes factor","level":4,"score":0.4957214593887329},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.48359888792037964},{"id":"https://openalex.org/C101112237","wikidata":"https://www.wikidata.org/wiki/Q4874481","display_name":"Bayesian statistics","level":4,"score":0.4581737518310547},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4581640362739563},{"id":"https://openalex.org/C127043819","wikidata":"https://www.wikidata.org/wiki/Q16243608","display_name":"Bayesian programming","level":5,"score":0.42906489968299866},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.41882413625717163},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.41113582253456116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34542176127433777},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.184199720621109}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s1755020316000502","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1755020316000502","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/78D0F1C0942C640CF824D0A192460B8D/S1755020316000502a.pdf/div-class-title-general-properties-of-bayesian-learning-as-statistical-inference-determined-by-conditional-expectations-div.pdf","source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:eprints.lse.ac.uk:68689","is_oa":true,"landing_page_url":"https://orcid.org/0000-0001-5298-1443>","pdf_url":"http://eprints.lse.ac.uk/68689/7/Redei_General%20properties_2017.pdf","source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"doi:10.1017/s1755020316000502","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1755020316000502","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/78D0F1C0942C640CF824D0A192460B8D/S1755020316000502a.pdf/div-class-title-general-properties-of-bayesian-learning-as-statistical-inference-determined-by-conditional-expectations-div.pdf","source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2584242403.pdf","grobid_xml":"https://content.openalex.org/works/W2584242403.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W121039795","https://openalex.org/W573898386","https://openalex.org/W596488402","https://openalex.org/W1485162518","https://openalex.org/W1493856275","https://openalex.org/W1499481187","https://openalex.org/W1509562192","https://openalex.org/W1510250770","https://openalex.org/W1517123228","https://openalex.org/W1533213248","https://openalex.org/W1534616055","https://openalex.org/W1547322272","https://openalex.org/W1584886925","https://openalex.org/W1594563152","https://openalex.org/W1900523596","https://openalex.org/W1955173838","https://openalex.org/W1988765591","https://openalex.org/W1991131983","https://openalex.org/W1991884749","https://openalex.org/W2010974429","https://openalex.org/W2020994559","https://openalex.org/W2026117522","https://openalex.org/W2050283732","https://openalex.org/W2056099894","https://openalex.org/W2065901670","https://openalex.org/W2073512726","https://openalex.org/W2075645031","https://openalex.org/W2082812328","https://openalex.org/W2090594942","https://openalex.org/W2125484397","https://openalex.org/W2128785381","https://openalex.org/W2133752818","https://openalex.org/W2270554359","https://openalex.org/W2313819472","https://openalex.org/W2332108909","https://openalex.org/W2481956252","https://openalex.org/W2484483020","https://openalex.org/W2578975781","https://openalex.org/W2751862591","https://openalex.org/W2798461040","https://openalex.org/W2799137445","https://openalex.org/W2999676571","https://openalex.org/W3109381375","https://openalex.org/W4206264042","https://openalex.org/W4230824004","https://openalex.org/W4231622246","https://openalex.org/W4247172179","https://openalex.org/W4253577938","https://openalex.org/W4255034261","https://openalex.org/W4285719527","https://openalex.org/W4293542686","https://openalex.org/W4299551239","https://openalex.org/W4300129738","https://openalex.org/W4301163938","https://openalex.org/W6640051514"],"related_works":["https://openalex.org/W2021803007","https://openalex.org/W2188650561","https://openalex.org/W2030346622","https://openalex.org/W2384248967","https://openalex.org/W4235449303","https://openalex.org/W277606739","https://openalex.org/W3095440346","https://openalex.org/W4255582690","https://openalex.org/W4253945493","https://openalex.org/W4251538262"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"the":[3,27,31,34,44,55,78,100,106,126,133,146,156,174,185,196,212,227],"general":[4,7],"properties":[5],"of":[6,48,50,129,135,148,163,214],"Bayesian":[8,12,52],"learning,":[9],"where":[10,26],"\u201cgeneral":[11],"learning\u201d":[13],"means":[14],"inferring":[15],"a":[16,39,51,82,182],"state":[17,83,117,187,194],"from":[18,87,99,121,191],"another":[19,88],"that":[20,61,105,145,184,202],"is":[21,29,93,103,110,118,137,143,150,159,165,200],"regarded":[22],"as":[23,224],"evidence,":[24],"and":[25,113,221],"inference":[28],"conditionalizing":[30],"evidence":[32],"using":[33,211],"conditional":[35,215],"expectation":[36,67],"determined":[37],"by":[38,65],"reference":[40],"probability":[41,63,79,157,175,203],"measure":[42],"representing":[43],"background":[45],"subjective":[46],"degrees":[47],"belief":[49],"Agent":[53],"performing":[54],"inference.":[56],"States":[57],"are":[58,205],"linear":[59],"functionals":[60],"encode":[62],"measures":[64],"assigning":[66],"values":[68],"to":[69,77,95],"random":[70,130],"variables":[71],"via":[72],"integrating":[73],"them":[74],"with":[75],"respect":[76],"measure.":[80],"If":[81,115],"can":[84,177],"be":[85,96,178],"learned":[86],"this":[89],"way,":[90],"then":[91,132],"it":[92],"said":[94],"Bayes":[97,107,119,140,153,168,189,207],"accessible":[98,120,190],"evidence.":[101],"It":[102,142,199],"shown":[104,144,201],"accessibility":[108],"relation":[109],"reflexive,":[111],"antisymmetric,":[112],"nontransitive.":[114],"every":[116],"some":[122,192,232],"other":[123,193],"defined":[124],"on":[125],"same":[127],"set":[128,134,147,162],"variables,":[131],"states":[136,149,164],"called":[138,166],"weakly":[139,152,167,206],"connected.":[141],"not":[151],"connected":[154],"if":[155],"space":[158,176],"standard.":[160],"The":[161],"connectable":[169],"if,":[170],"given":[171,186],"any":[172],"state,":[173],"extended":[179,197],"in":[180,195],"such":[181],"way":[183],"becomes":[188],"space.":[198],"spaces":[204],"connectable.":[208],"Since":[209],"conditioning":[210],"theory":[213],"expectations":[216],"includes":[217],"both":[218],"Bayes\u2019":[219],"rule":[220],"Jeffrey":[222,237],"conditionalization":[223],"special":[225],"cases,":[226],"results":[228,233],"presented":[229],"generalize":[230],"substantially":[231],"obtained":[234],"earlier":[235],"for":[236],"conditionalization.":[238]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}