{"id":"https://openalex.org/W7138297423","doi":"https://doi.org/10.48550/arxiv.2603.15182","title":"Sequential Transport for Causal Mediation Analysis","display_name":"Sequential Transport for Causal Mediation Analysis","publication_year":2026,"publication_date":"2026-03-16","ids":{"openalex":"https://openalex.org/W7138297423","doi":"https://doi.org/10.48550/arxiv.2603.15182"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.15182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.15182","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.15182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5129751815","display_name":"Agathe Fernandes-Machado","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Machado, Agathe Fernandes","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129687292","display_name":"Iryna Voitsitska","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Voitsitska, Iryna","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129651129","display_name":"Arthur Charpentier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Charpentier, Arthur","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5082672280","display_name":"Ewen Gallic","orcid":"https://orcid.org/0000-0003-3740-2620"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gallic, Ewen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5129751815"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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":0.5297999978065491,"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":0.5297999978065491,"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/T10845","display_name":"Advanced Causal Inference Techniques","score":0.19580000638961792,"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/T10241","display_name":"Functional Brain Connectivity Studies","score":0.0649000033736229,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterfactual-thinking","display_name":"Counterfactual thinking","score":0.8902000188827515},{"id":"https://openalex.org/keywords/counterfactual-conditional","display_name":"Counterfactual conditional","score":0.704200029373169},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6877999901771545},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.5579000115394592},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5253000259399414},{"id":"https://openalex.org/keywords/mediation","display_name":"Mediation","score":0.5113000273704529},{"id":"https://openalex.org/keywords/attribution","display_name":"Attribution","score":0.47850000858306885},{"id":"https://openalex.org/keywords/causal-model","display_name":"Causal model","score":0.4372999966144562},{"id":"https://openalex.org/keywords/causality","display_name":"Causality (physics)","score":0.4260999858379364}],"concepts":[{"id":"https://openalex.org/C108650721","wikidata":"https://www.wikidata.org/wiki/Q1783253","display_name":"Counterfactual thinking","level":2,"score":0.8902000188827515},{"id":"https://openalex.org/C71889745","wikidata":"https://www.wikidata.org/wiki/Q1783264","display_name":"Counterfactual conditional","level":3,"score":0.704200029373169},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6877999901771545},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.5579000115394592},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5253000259399414},{"id":"https://openalex.org/C179420905","wikidata":"https://www.wikidata.org/wiki/Q223871","display_name":"Mediation","level":2,"score":0.5113000273704529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.506600022315979},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4812999963760376},{"id":"https://openalex.org/C143299363","wikidata":"https://www.wikidata.org/wiki/Q900584","display_name":"Attribution","level":2,"score":0.47850000858306885},{"id":"https://openalex.org/C11671645","wikidata":"https://www.wikidata.org/wiki/Q5054567","display_name":"Causal model","level":2,"score":0.4372999966144562},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.4260999858379364},{"id":"https://openalex.org/C175652121","wikidata":"https://www.wikidata.org/wiki/Q4379351","display_name":"Causal consistency","level":5,"score":0.4129999876022339},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3926999866962433},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C122377713","wikidata":"https://www.wikidata.org/wiki/Q4422799","display_name":"Weak consistency","level":4,"score":0.3653999865055084},{"id":"https://openalex.org/C163504300","wikidata":"https://www.wikidata.org/wiki/Q2364925","display_name":"Causal structure","level":2,"score":0.362199991941452},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3562999963760376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3328999876976013},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2955000102519989},{"id":"https://openalex.org/C79897977","wikidata":"https://www.wikidata.org/wiki/Q5054568","display_name":"Causal chain","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.25360000133514404},{"id":"https://openalex.org/C2781140086","wikidata":"https://www.wikidata.org/wiki/Q557945","display_name":"Confusion","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.15182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.15182","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.15182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.15182","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,83],"propose":[1],"sequential":[2],"transport":[3,14,89],"(ST),":[4],"a":[5,17,124,130,178],"distributional":[6,132],"framework":[7],"for":[8,74],"mediation":[9,150],"analysis":[10],"that":[11,146],"combines":[12],"optimal":[13],"(OT)":[15],"with":[16,139],"mediator":[18,33,141],"directed":[19],"acyclic":[20],"graph":[21],"(DAG).":[22],"Instead":[23],"of":[24,86,92,134,182],"relying":[25],"on":[26,70,119],"cross-world":[27],"counterfactual":[28,175],"assumptions,":[29],"ST":[30,63,147,171],"constructs":[31],"unit-level":[32,95],"counterfactuals":[34],"by":[35,57],"minimally":[36],"transporting":[37],"each":[38],"mediator,":[39],"either":[40],"marginally":[41],"or":[42,115],"conditionally,":[43],"toward":[44],"its":[45],"distribution":[46],"under":[47,104],"an":[48],"alternative":[49],"treatment":[50,112],"while":[51,152],"preserving":[52],"the":[53,58,87,93,111,140,166],"causal":[54,125],"dependencies":[55],"encoded":[56],"DAG.":[59],"For":[60],"numerical":[61],"mediators,":[62,76],"uses":[64],"monotone":[65],"(conditional)":[66],"OT":[67],"maps":[68,90],"based":[69],"conditional":[71,118],"CDF/quantile":[72],"estimators;":[73],"categorical":[75],"it":[77],"extends":[78],"naturally":[79],"via":[80],"simplex-based":[81],"transport.":[82],"establish":[84],"consistency":[85],"estimated":[88],"and":[91,101,107,160,177],"induced":[94],"decompositions":[96,122],"into":[97],"mutatis":[98],"mutandis":[99],"direct":[100],"indirect":[102],"effects":[103],"standard":[105],"regularity":[106],"support":[108],"conditions.":[109],"When":[110],"is":[113],"randomized":[114],"ignorable":[116],"(possibly":[117],"covariates),":[120],"these":[121],"admit":[123],"interpretation;":[126],"otherwise,":[127],"they":[128],"provide":[129],"principled":[131],"attribution":[133,181],"differences":[135],"between":[136],"groups":[137],"aligned":[138],"structure.":[142],"Gaussian":[143],"examples":[144],"show":[145],"recovers":[148],"classical":[149],"formulas,":[151],"additional":[153],"simulations":[154],"confirm":[155],"good":[156],"performance":[157],"in":[158],"nonlinear":[159],"mixed-type":[161],"settings.":[162],"An":[163],"application":[164],"to":[165],"COMPAS":[167],"dataset":[168],"illustrates":[169],"how":[170],"yields":[172],"deterministic,":[173],"DAG-consistent":[174],"mediators":[176],"fine-grained":[179],"mediator-level":[180],"disparities.":[183]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2026-03-18T00:00:00"}
