{"id":"https://openalex.org/W3202864205","doi":"https://doi.org/10.1137/20m1368926","title":"Variational Representations and Neural Network Estimation of R\u00e9nyi Divergences","display_name":"Variational Representations and Neural Network Estimation of R\u00e9nyi Divergences","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3202864205","doi":"https://doi.org/10.1137/20m1368926","mag":"3202864205"},"language":"en","primary_location":{"id":"doi:10.1137/20m1368926","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1368926","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1137/20m1368926","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052040062","display_name":"Jeremiah Birrell","orcid":"https://orcid.org/0000-0002-2289-4856"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jeremiah Birrell","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010647194","display_name":"Paul Dupuis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul Dupuis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045079747","display_name":"Markos A. Katsoulakis","orcid":"https://orcid.org/0000-0003-4354-1766"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Markos A. Katsoulakis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066349615","display_name":"Luc Rey-Bellet","orcid":"https://orcid.org/0000-0003-1166-8957"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luc Rey-Bellet","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100440095","display_name":"Jie Wang","orcid":"https://orcid.org/0000-0002-5198-9563"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jie Wang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052040062"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3322,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91701113,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"4","first_page":"1093","last_page":"1116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.996399998664856,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9952999949455261,"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/divergence","display_name":"Divergence (linguistics)","score":0.7012950778007507},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6500957012176514},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6465916037559509},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5624999403953552},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5498644113540649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.468422532081604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39805564284324646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3211459815502167},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3201359510421753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29409337043762207},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.15130692720413208},{"id":"https://openalex.org/keywords/management","display_name":"Management","score":0.13004353642463684},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.11663895845413208},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.1063569188117981},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09363171458244324}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7012950778007507},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6500957012176514},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6465916037559509},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5624999403953552},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5498644113540649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.468422532081604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39805564284324646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3211459815502167},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3201359510421753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29409337043762207},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.15130692720413208},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.13004353642463684},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11663895845413208},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.1063569188117981},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09363171458244324},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1368926","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1368926","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/20m1368926","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1368926","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1823434452","display_name":null,"funder_award_id":"DMS-1904992","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2351173801","display_name":null,"funder_award_id":"DMS-2008970","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2416061413","display_name":null,"funder_award_id":"FA-9550-18-1-0214","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4415091945","display_name":null,"funder_award_id":"TRIPODS CISE-1934846","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6198308045","display_name":null,"funder_award_id":"EQUiPS W911NF1520122","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1979985652","https://openalex.org/W1987083649","https://openalex.org/W2026653933","https://openalex.org/W2034432063","https://openalex.org/W2103496339","https://openalex.org/W2114771311","https://openalex.org/W2131940723","https://openalex.org/W2134478553","https://openalex.org/W2149350210","https://openalex.org/W2158581396","https://openalex.org/W2166944917","https://openalex.org/W2189660299","https://openalex.org/W2963470657","https://openalex.org/W2963959558","https://openalex.org/W2964076844","https://openalex.org/W3047231416","https://openalex.org/W3102697119","https://openalex.org/W4232613155"],"related_works":["https://openalex.org/W3208095355","https://openalex.org/W2177370417","https://openalex.org/W2052507016","https://openalex.org/W2180461068","https://openalex.org/W2051816080","https://openalex.org/W4310813911","https://openalex.org/W2156730189","https://openalex.org/W2062195135","https://openalex.org/W2358962854","https://openalex.org/W2576994247"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"6":[17],"October":[18,25],"2020Accepted:":[19],"23":[20],"July":[21],"2021Published":[22],"online:":[23],"06":[24],"2021KeywordsR\u00e9nyi":[26],"divergence,":[27],"variational":[28],"representation,":[29],"neural":[30],"network":[31],"estimatorAMS":[32],"Subject":[33],"Headings94A17,":[34],"62B10,":[35],"62G05Publication":[36],"DataISSN":[37],"(online):":[38],"2577-0187Publisher:":[39],"Society":[40],"for":[41],"Industrial":[42],"and":[43],"Applied":[44],"MathematicsCODEN:":[45],"sjmdaq":[46]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
