{"id":"https://openalex.org/W1497574396","doi":null,"title":"Identifying Cause and Effect on Discrete Data using Additive Noise Models","display_name":"Identifying Cause and Effect on Discrete Data using Additive Noise Models","publication_year":2010,"publication_date":"2010-03-31","ids":{"openalex":"https://openalex.org/W1497574396","mag":"1497574396"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.167.7926","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.167.7926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kyb.tuebingen.mpg.de/causality/AISTATS2010-Peters.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5002127148","display_name":"Jonas Peters","orcid":"https://orcid.org/0000-0002-1487-7511","observed_orcids":["https://orcid.org/0000-0002-1487-7511"]},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonas Peters","raw_affiliation_strings":["Max Planck Institute for Biological Cybernetics, Max Planck Society"],"raw_orcid":"https://orcid.org/0000-0002-1487-7511","affiliations":[{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013941262","display_name":"Dominik Janzing","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominik Janzing","raw_affiliation_strings":["Max Planck Institute for Biological Cybernetics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044005697","display_name":"Bernhard Sch\u00f6lkopf","orcid":"https://orcid.org/0000-0002-8177-0925","observed_orcids":["https://orcid.org/0000-0002-8177-0925"]},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Sch\u00f6lkopf","raw_affiliation_strings":["Max Planck Institute for Biological Cybernetics, Max Planck Society"],"raw_orcid":"https://orcid.org/0000-0002-8177-0925","affiliations":[{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0202,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.90675894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"597","last_page":"604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9994999766349792,"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":0.9994999766349792,"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/T10136","display_name":"Statistical Methods and Inference","score":0.0,"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/T10778","display_name":"Philosophy of Biology and Scientific Explanation","score":0.0,"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/causal-discovery","display_name":"causal discovery","score":0.8619999885559082},{"id":"https://openalex.org/keywords/additive-noise-model","display_name":"additive noise model","score":0.8989999890327454},{"id":"https://openalex.org/keywords/discrete-variables","display_name":"discrete variables","score":0.6779999732971191},{"id":"https://openalex.org/keywords/finite-sample-inference","display_name":"finite-sample inference","score":0.6039999723434448}],"concepts":[{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6512006521224976},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.6065055131912231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5196908116340637},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.5145191550254822},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4926648736000061},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4883705973625183},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4821621775627136},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.46592944860458374},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.4403465688228607},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.43754443526268005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3829224407672882},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37856632471084595},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28326916694641113},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22646105289459229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06881865859031677},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.167.7926","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.167.7926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kyb.tuebingen.mpg.de/causality/AISTATS2010-Peters.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.207.1313","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.207.1313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://jmlr.csail.mit.edu/proceedings/papers/v9/peters10a/peters10a.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:548315","doi":null,"is_oa":false,"landing_page_url":"http://edoc.mpg.de/548315","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Thirteenth International Conference on Artificial Intelligence and Statistics (AISTATS 2010), 597-604 (2010)","raw_type":"Conference-Paper"},{"id":"pmh:oai:pure.mpg.de:item_1788792","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/11858/00-001M-0000-0013-C040-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JMLR Workshop and Conference Proceedings","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:1497574396","doi":null,"is_oa":false,"landing_page_url":"http://proceedings.mlr.press/v9/peters10a/peters10a.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419146","display_name":"International Conference on Artificial Intelligence and Statistics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Conference on Artificial Intelligence and Statistics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W70060515","https://openalex.org/W188913015","https://openalex.org/W1833557697","https://openalex.org/W1996006983","https://openalex.org/W2045638068","https://openalex.org/W2098460974","https://openalex.org/W2146531590","https://openalex.org/W2151226328","https://openalex.org/W2157815868","https://openalex.org/W2165582599","https://openalex.org/W3133236490"],"related_works":["https://openalex.org/W2150996947","https://openalex.org/W2949383815","https://openalex.org/W2907898904","https://openalex.org/W4293653508","https://openalex.org/W2149584520","https://openalex.org/W7014798571","https://openalex.org/W2271150192","https://openalex.org/W7099141966","https://openalex.org/W3092547191","https://openalex.org/W2552297262"],"abstract_inverted_index":{"Inferring":[0],"the":[1,15,35,44,62,72,97,111],"causal":[2],"structure":[3],"of":[4,7,14,37,46,64,142],"a":[5,11,79,116,139],"set":[6],"random":[8],"variables":[9,45],"from":[10],"finite":[12,140],"sample":[13,141],"joint":[16,73],"distribution":[17,74],"is":[18,113,130],"an":[19,125],"important":[20],"problem":[21],"in":[22,81,115],"science.":[23],"Recently,":[24],"methods":[25],"using":[26],"additive":[27,65],"noise":[28,66],"models":[29,67],"have":[30,52],"been":[31],"suggested":[32],"to":[33,68,132],"approach":[34],"case":[36],"continuous":[38],"variables.":[39,144],"In":[40,57],"many":[41,55],"situations,":[42],"however,":[43],"interest":[47],"are":[48],"discrete":[49,143],"or":[50],"even":[51],"only":[53],"finitely":[54],"states.":[56],"this":[58,148],"work":[59],"we":[60,123],"extend":[61],"notion":[63],"these":[69,121],"cases.":[70],"Whenever":[71],"P":[75],"(X,Y)":[76],"admits":[77],"such":[78],"model":[80,99,112],"one":[82],"direction,":[83],"e.g.":[84],"Y":[85,107],"=":[86,101],"f(X)":[87],"+":[88,103],"N,":[89],"N":[90],"\u22a5":[91,106],"X,":[92],"it":[93],"does":[94],"not":[95],"admit":[96],"reversed":[98],"X":[100],"g(Y)":[102],"\u00d1,":[104],"\u00d1":[105],"as":[108,110],"long":[109],"chosen":[114],"generic":[117],"way.":[118],"Based":[119],"on":[120,152],"deliberations":[122],"propose":[124],"efficient":[126],"new":[127],"algorithm":[128,149],"that":[129,147],"able":[131],"distinguish":[133],"between":[134],"cause":[135],"and":[136,154],"effect":[137],"for":[138],"We":[145],"show":[146],"works":[150],"both":[151],"synthetic":[153],"real":[155],"data":[156],"sets.":[157],"1":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
