{"id":"https://openalex.org/W4403518856","doi":"https://doi.org/10.3233/faia240798","title":"Enabling Causal Discovery in Post-Nonlinear Models with Normalizing Flows","display_name":"Enabling Causal Discovery in Post-Nonlinear Models with Normalizing Flows","publication_year":2024,"publication_date":"2024-10-16","ids":{"openalex":"https://openalex.org/W4403518856","doi":"https://doi.org/10.3233/faia240798"},"language":"en","primary_location":{"id":"doi:10.3233/faia240798","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia240798","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240798","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240798","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111252811","display_name":"Nu Hoang","orcid":null},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Nu Hoang","raw_affiliation_strings":["Applied Artificial Intelligence Institute (A I ), Deakin University, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Artificial Intelligence Institute (A I ), Deakin University, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102811209","display_name":"Bao Duong","orcid":"https://orcid.org/0000-0001-9850-0270"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Bao Duong","raw_affiliation_strings":["Applied Artificial Intelligence Institute (A I ), Deakin University, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Artificial Intelligence Institute (A I ), Deakin University, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100705489","display_name":"Thin Nguyen","orcid":"https://orcid.org/0000-0003-3467-8963"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Thin Nguyen","raw_affiliation_strings":["Applied Artificial Intelligence Institute (A I ), Deakin University, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Artificial Intelligence Institute (A I ), Deakin University, Australia","institution_ids":["https://openalex.org/I149704539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111252811"],"corresponding_institution_ids":["https://openalex.org/I149704539"],"apc_list":null,"apc_paid":null,"fwci":0.7104,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73717206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.946399986743927,"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":0.946399986743927,"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/nonlinear-system","display_name":"Nonlinear system","score":0.5274655818939209},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42881375551223755},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3967404067516327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34409940242767334},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33724915981292725},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14452257752418518}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5274655818939209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42881375551223755},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3967404067516327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34409940242767334},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33724915981292725},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14452257752418518},{"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:10.3233/faia240798","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia240798","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240798","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia240798","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia240798","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240798","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4403518856.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Post-nonlinear":[0],"(PNL)":[1],"causal":[2,15,102,105,114,140],"models":[3,26],"stand":[4],"out":[5],"as":[6,93],"a":[7,76],"versatile":[8],"and":[9,122,138],"adaptable":[10],"framework":[11],"for":[12,44],"modeling":[13],"intricate":[14],"relationships.":[16,115],"However,":[17],"accurately":[18],"capturing":[19],"the":[20,48,51,57,71,87,128],"invertibility":[21,59],"constraint":[22,60],"required":[23],"in":[24,29,61,79,135],"PNL":[25,62],"remains":[27],"challenging":[28],"existing":[30],"studies.":[31],"To":[32],"address":[33],"this":[34],"problem,":[35],"we":[36],"introduce":[37],"CAF-PoNo":[38],"(Causal":[39],"discovery":[40,103,141],"via":[41,104],"Normalizing":[42],"Flows":[43],"Post-Nonlinear":[45],"models),":[46],"harnessing":[47],"power":[49],"of":[50],"normalizing":[52,65],"flows":[53],"architecture":[54],"to":[55,99,110],"enforce":[56],"crucial":[58],"models.":[63],"Through":[64],"flows,":[66],"our":[67],"method":[68,130],"precisely":[69],"reconstructs":[70],"hidden":[72],"noise,":[73],"which":[74],"plays":[75],"vital":[77],"role":[78],"cause-effect":[80],"identification":[81],"through":[82],"statistical":[83],"independence":[84],"testing.":[85],"Furthermore,":[86],"proposed":[88,129],"approach":[89],"exhibits":[90],"remarkable":[91],"extensibility,":[92],"it":[94],"can":[95],"be":[96],"seamlessly":[97],"expanded":[98],"facilitate":[100],"multivariate":[101,139],"order":[106],"identification,":[107],"empowering":[108],"us":[109],"efficiently":[111],"unravel":[112],"complex":[113],"Extensive":[116],"experimental":[117],"evaluations":[118],"on":[119],"both":[120,136],"simulated":[121],"real":[123],"datasets":[124],"consistently":[125],"demonstrate":[126],"that":[127],"outperforms":[131],"several":[132],"state-of-the-art":[133],"approaches":[134],"bivariate":[137],"tasks.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
