{"id":"https://openalex.org/W4408564930","doi":"https://doi.org/10.1109/tpami.2025.3552434","title":"The Conditional Cauchy-Schwarz Divergence With Applications to Time-Series Data and Sequential Decision Making","display_name":"The Conditional Cauchy-Schwarz Divergence With Applications to Time-Series Data and Sequential Decision Making","publication_year":2025,"publication_date":"2025-03-18","ids":{"openalex":"https://openalex.org/W4408564930","doi":"https://doi.org/10.1109/tpami.2025.3552434","pmid":"https://pubmed.ncbi.nlm.nih.gov/40100651"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2025.3552434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3552434","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.vu.nl/en/publications/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041358503","display_name":"Shujian Yu","orcid":"https://orcid.org/0000-0002-6385-1705"},"institutions":[{"id":"https://openalex.org/I78037679","display_name":"UiT The Arctic University of Norway","ror":"https://ror.org/00wge5k78","country_code":"NO","type":"education","lineage":["https://openalex.org/I78037679"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Shujian Yu","raw_affiliation_strings":["Machine Learning Group, UiT - The Arctic University of Norway, Tromsø, Norway"],"raw_orcid":"https://orcid.org/0000-0002-6385-1705","affiliations":[{"raw_affiliation_string":"Machine Learning Group, UiT - The Arctic University of Norway, Tromsø, Norway","institution_ids":["https://openalex.org/I78037679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100369958","display_name":"Hongming Li","orcid":"https://orcid.org/0000-0002-6024-677X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongming Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","Department of Electrical and Computer Engineering, University of Florida, Gainesville, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013696891","display_name":"Sigurd L\u00f8kse","orcid":"https://orcid.org/0000-0002-1953-4315"},"institutions":[{"id":"https://openalex.org/I4210107808","display_name":"NORCE Research AS","ror":"https://ror.org/02gagpf75","country_code":"NO","type":"facility","lineage":["https://openalex.org/I4210107808"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Sigurd L\u00f8kse","raw_affiliation_strings":["Drones and Autonomous Systems Group, NORCE Norwegian Research Centre, Tromsø, Norway","Drones and Autonomous Systems group at NORCE Norwegian Research Centre, Tromsø, Norway"],"raw_orcid":"https://orcid.org/0000-0002-1953-4315","affiliations":[{"raw_affiliation_string":"Drones and Autonomous Systems Group, NORCE Norwegian Research Centre, Tromsø, Norway","institution_ids":["https://openalex.org/I4210107808"]},{"raw_affiliation_string":"Drones and Autonomous Systems group at NORCE Norwegian Research Centre, Tromsø, Norway","institution_ids":["https://openalex.org/I4210107808"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013414039","display_name":"Robert Jenssen","orcid":"https://orcid.org/0000-0002-7496-8474"},"institutions":[{"id":"https://openalex.org/I78037679","display_name":"UiT The Arctic University of Norway","ror":"https://ror.org/00wge5k78","country_code":"NO","type":"education","lineage":["https://openalex.org/I78037679"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Robert Jenssen","raw_affiliation_strings":["Machine Learning Group, UiT - The Arctic University of Norway, Tromsø, Norway"],"raw_orcid":"https://orcid.org/0000-0002-7496-8474","affiliations":[{"raw_affiliation_string":"Machine Learning Group, UiT - The Arctic University of Norway, Tromsø, Norway","institution_ids":["https://openalex.org/I78037679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019504861","display_name":"Jos\u00e9 C. Pr\u0131\u0301ncipe","orcid":"https://orcid.org/0000-0002-3449-3531"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 C. Pr\u00edncipe","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","Department of Electrical and Computer Engineering, University of Florida, Gainesville, USA"],"raw_orcid":"https://orcid.org/0000-0002-3449-3531","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3336,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87282821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"47","issue":"7","first_page":"5901","last_page":"5917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9315000176429749,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9315000176429749,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9199000000953674,"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"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.906499981880188,"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/computer-science","display_name":"Computer science","score":0.5523444414138794},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.5343873500823975},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5273008346557617},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5257191061973572},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46777477860450745},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.46318554878234863},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.37420588731765747},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3609203100204468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3559388518333435},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3503597378730774},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.32037949562072754},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2615543007850647},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.08220162987709045}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5523444414138794},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.5343873500823975},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5273008346557617},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5257191061973572},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46777477860450745},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.46318554878234863},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.37420588731765747},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3609203100204468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3559388518333435},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3503597378730774},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.32037949562072754},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2615543007850647},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.08220162987709045},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tpami.2025.3552434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3552434","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:40100651","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40100651","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:research.vu.nl:openaire/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Yu, S, Li, H, Lokse, S, Jenssen, R & Principe, J C 2025, 'The Conditional Cauchy-Schwarz Divergence With Applications to Time-Series Data and Sequential Decision Making', IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 47, no. 7, pp. 5901-5917. https://doi.org/10.1109/TPAMI.2025.3552434","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:research.vu.nl:publications/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Yu, S, Li, H, Lokse, S, Jenssen, R & Principe, J C 2025, 'The Conditional Cauchy-Schwarz Divergence With Applications to Time-Series Data and Sequential Decision Making', IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 47, no. 7, pp. 5901-5917. https://doi.org/10.1109/TPAMI.2025.3552434","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/4df28f47-d424-49b6-b416-65544a31d5a3","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/4df28f47-d424-49b6-b416-65544a31d5a3","pdf_url":"https://curis.ku.dk/ws/files/523004843/The_Conditional_Cauchy-Schwarz.pdf","source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Yu , S , Li , H , Lokse , S , Jenssen , R & Principe , J C 2025 , ' The Conditional Cauchy-Schwarz Divergence With Applications to Time-Series Data and Sequential Decision Making ' , IEEE Transactions on Pattern Analysis and Machine Intelligence , vol. 47 , no. 7 , pp. 5901-5917 . https://doi.org/10.1109/TPAMI.2025.3552434","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:research.vu.nl:openaire/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/f2ee4fbb-5753-4e45-ad83-5e0d0efd3a4b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Yu, S, Li, H, Lokse, S, Jenssen, R & Principe, J C 2025, 'The Conditional Cauchy-Schwarz Divergence With Applications to Time-Series Data and Sequential Decision Making', IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 47, no. 7, pp. 5901-5917. https://doi.org/10.1109/TPAMI.2025.3552434","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7300000190734863}],"awards":[{"id":"https://openalex.org/G2901889493","display_name":null,"funder_award_id":"N000142312571","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G3875583819","display_name":null,"funder_award_id":"N00014-21-1-2295","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6800035256","display_name":null,"funder_award_id":"309439","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G7524071601","display_name":null,"funder_award_id":"N000142312084","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G782303044","display_name":null,"funder_award_id":"N000142512223","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320321014","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50"},{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":77,"referenced_works":["https://openalex.org/W789250018","https://openalex.org/W1549386224","https://openalex.org/W1576537667","https://openalex.org/W1594039573","https://openalex.org/W1607114662","https://openalex.org/W1631356911","https://openalex.org/W1804536132","https://openalex.org/W1947251450","https://openalex.org/W1965021696","https://openalex.org/W1972823717","https://openalex.org/W1977234023","https://openalex.org/W2002870907","https://openalex.org/W2013029404","https://openalex.org/W2014914755","https://openalex.org/W2027028757","https://openalex.org/W2031774932","https://openalex.org/W2041782669","https://openalex.org/W2052066602","https://openalex.org/W2055597244","https://openalex.org/W2057053883","https://openalex.org/W2074209423","https://openalex.org/W2077933344","https://openalex.org/W2084649117","https://openalex.org/W2096023955","https://openalex.org/W2101629643","https://openalex.org/W2105795585","https://openalex.org/W2118020555","https://openalex.org/W2118529802","https://openalex.org/W2119983807","https://openalex.org/W2126918828","https://openalex.org/W2136251587","https://openalex.org/W2143325592","https://openalex.org/W2146641075","https://openalex.org/W2150879893","https://openalex.org/W2167932108","https://openalex.org/W2283896980","https://openalex.org/W2328111639","https://openalex.org/W2559463885","https://openalex.org/W2581490870","https://openalex.org/W2593829254","https://openalex.org/W2604269166","https://openalex.org/W2787471386","https://openalex.org/W2914095169","https://openalex.org/W2964285681","https://openalex.org/W3020943070","https://openalex.org/W3090414386","https://openalex.org/W3127518054","https://openalex.org/W3191808899","https://openalex.org/W3201520726","https://openalex.org/W4210855551","https://openalex.org/W4214698730","https://openalex.org/W4221161771","https://openalex.org/W4230367971","https://openalex.org/W6604828220","https://openalex.org/W6633949838","https://openalex.org/W6639134244","https://openalex.org/W6640963894","https://openalex.org/W6674525294","https://openalex.org/W6676726796","https://openalex.org/W6683633756","https://openalex.org/W6688325169","https://openalex.org/W6713955831","https://openalex.org/W6718237598","https://openalex.org/W6728551298","https://openalex.org/W6741832134","https://openalex.org/W6757058172","https://openalex.org/W6758833332","https://openalex.org/W6763094270","https://openalex.org/W6768082792","https://openalex.org/W6771610787","https://openalex.org/W6773055369","https://openalex.org/W6786991271","https://openalex.org/W6787819586","https://openalex.org/W6796051603","https://openalex.org/W6847512630","https://openalex.org/W6863452158","https://openalex.org/W6868204940"],"related_works":["https://openalex.org/W4403822433","https://openalex.org/W3208095355","https://openalex.org/W2177370417","https://openalex.org/W2052507016","https://openalex.org/W2180461068","https://openalex.org/W2051816080","https://openalex.org/W2119012848","https://openalex.org/W2622688551","https://openalex.org/W1550175370","https://openalex.org/W1990205660"],"abstract_inverted_index":{"The":[0],"Cauchy-Schwarz":[1],"(CS)":[2],"divergence":[3,20,36,77,86,102],"was":[4],"developed":[5,33],"by":[6,41],"Pr\u00edncipe":[7],"et":[8],"al.":[9],"in":[10,67,103],"2000.":[11],"In":[12],"this":[13],"paper,":[14],"we":[15],"extend":[16],"the":[17,23,32,51,83,88,96],"classic":[18],"CS":[19,35,76,101],"to":[21,109],"quantify":[22],"closeness":[24],"between":[25],"two":[26,104],"conditional":[27,34,75,84,89,100],"distributions":[28],"and":[29,63,87,113,120],"show":[30],"that":[31],"can":[37],"be":[38],"elegantly":[39],"estimated":[40],"a":[42,68],"kernel":[43],"density":[44],"estimator":[45],"from":[46],"given":[47],"samples.":[48],"We":[49,93],"illustrate":[50],"advantages":[52],"(e.g.,":[53],"rigorous":[54],"faithfulness":[55],"guarantee,":[56],"lower":[57],"computational":[58],"complexity,":[59],"higher":[60],"statistical":[61],"power,":[62],"much":[64],"more":[65],"flexibility":[66],"wide":[69],"range":[70],"of":[71,73,99],"applications)":[72],"our":[74],"over":[78],"previous":[79],"proposals,":[80],"such":[81],"as":[82],"Kullback-Leibler":[85],"maximum":[90],"mean":[91],"discrepancy.":[92],"also":[94],"demonstrate":[95],"compelling":[97],"performance":[98],"machine":[105],"learning":[106],"tasks":[107],"related":[108],"time":[110,117],"series":[111,118],"data":[112],"sequential":[114,124],"inference,":[115],"namely":[116],"clustering":[119],"uncertainty-guided":[121],"exploration":[122],"for":[123],"decision":[125],"making.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}