{"id":"https://openalex.org/W3134423198","doi":"https://doi.org/10.1137/21m1457205","title":"Greedy Causal Discovery Is Geometric","display_name":"Greedy Causal Discovery Is Geometric","publication_year":2023,"publication_date":"2023-02-02","ids":{"openalex":"https://openalex.org/W3134423198","doi":"https://doi.org/10.1137/21m1457205","mag":"3134423198"},"language":"en","primary_location":{"id":"doi:10.1137/21m1457205","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1457205","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"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 Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5031800301","display_name":"Svante Linusson","orcid":"https://orcid.org/0000-0001-6339-2230"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Svante Linusson","raw_affiliation_strings":["Matematik, KTH, SE-100 44 Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matematik, KTH, SE-100 44 Stockholm, Sweden","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025820926","display_name":"Petter Restadh","orcid":"https://orcid.org/0000-0002-3411-8766"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Petter Restadh","raw_affiliation_strings":["Matematik, KTH, SE-100 44 Stockholm, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-3411-8766","affiliations":[{"raw_affiliation_string":"Matematik, KTH, SE-100 44 Stockholm, Sweden","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068026412","display_name":"Liam Solus","orcid":"https://orcid.org/0000-0003-3451-7414"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liam Solus","raw_affiliation_strings":["Matematik, KTH, SE-100 44 Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matematik, KTH, SE-100 44 Stockholm, Sweden","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6473,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73106261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"37","issue":"1","first_page":"233","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":1.0,"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":1.0,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9297999739646912,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9247999787330627,"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/greedy-algorithm","display_name":"Greedy algorithm","score":0.6927515864372253},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.6899869441986084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6406474709510803},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5766732692718506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3954148292541504},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2947782874107361}],"concepts":[{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.6927515864372253},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.6899869441986084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6406474709510803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5766732692718506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3954148292541504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2947782874107361}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1457205","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1457205","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"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 Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5614219226","display_name":null,"funder_award_id":"2019-05195","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1513618424","https://openalex.org/W1524326598","https://openalex.org/W1590398161","https://openalex.org/W1597196612","https://openalex.org/W1709414455","https://openalex.org/W1975062332","https://openalex.org/W2009187570","https://openalex.org/W2058408846","https://openalex.org/W2103659055","https://openalex.org/W2111061246","https://openalex.org/W2115984935","https://openalex.org/W2143891888","https://openalex.org/W2165190832","https://openalex.org/W2233474732","https://openalex.org/W2254123846","https://openalex.org/W2560285298","https://openalex.org/W2582743722","https://openalex.org/W2611370172","https://openalex.org/W2622142234","https://openalex.org/W2641483345","https://openalex.org/W2752259152","https://openalex.org/W2896946300","https://openalex.org/W2963303827","https://openalex.org/W3119547197","https://openalex.org/W3133236490","https://openalex.org/W4206570602","https://openalex.org/W4285719527","https://openalex.org/W4299515571","https://openalex.org/W4302423442","https://openalex.org/W4388323202"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2935909890","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W4297794376"],"abstract_inverted_index":{".Finding":[0],"a":[1,17,32,78,85,166,174],"directed":[2],"acyclic":[3],"graph":[4],"(DAG)":[5],"that":[6,23,91,107,126,180],"best":[7],"encodes":[8],"the":[9,43,63,92,95,111,114,149,156],"conditional":[10],"independence":[11],"statements":[12],"observable":[13],"from":[14],"data":[15],"is":[16],"central":[18],"question":[19],"within":[20,100],"causality.":[21],"Algorithms":[22],"greedily":[24],"transform":[25],"one":[26],"candidate":[27,115],"DAG":[28],"into":[29,84],"another":[30],"given":[31],"fixed":[33],"set":[34],"of":[35,80,94,102,104,113,120,152,158],"moves":[36,93,157],"have":[37,139],"been":[38],"particularly":[39],"successful,":[40],"for":[41],"example,":[42],"greedy":[44,47,127,130,143,167,171,178],"equivalence":[45,49,75,128,132],"search,":[46,50,129,133],"interventional":[48,131],"and":[51,60,106,134,173,186],"max-min":[52,135],"hill":[53,136,193],"climbing":[54,137],"algorithms.":[55,160],"In":[56],"2010,":[57],"Studen\u00fd,":[58],"Hemmecke,":[59],"Lindner":[61],"introduced":[62],"characteristic":[64],"imset":[65],"(CIM)":[66],"polytope,":[67],"\\(\\text{CIM}_p\\)":[68,105,121,146,153],",":[69],"whose":[70],"vertices":[71],"correspond":[72,117],"to":[73,118],"Markov":[74],"classes,":[76],"as":[77,142],"way":[79],"transforming":[81],"causal":[82],"discovery":[83],"linear":[86],"optimization":[87],"problem.":[88],"We":[89],"show":[90],"aforementioned":[96],"algorithms":[97],"are":[98],"included":[99],"classes":[101],"edges":[103,151],"restrictions":[108],"placed":[109],"on":[110],"skeleton":[112],"DAGs":[116],"faces":[119],".":[122,147],"Thus,":[123],"we":[124,164],"observe":[125],"all":[138],"geometric":[140],"realizations":[141],"edge-walks":[144],"along":[145],"Furthermore,":[148],"identified":[150],"strictly":[154],"generalize":[155],"these":[159],"Exploiting":[161],"this":[162],"generalization,":[163],"introduce":[165],"simplex-type":[168],"algorithm":[169],"called":[170],"CIM,":[172,179],"hybrid":[175,185],"variant,":[176],"skeletal":[177],"outperforms":[181],"current":[182],"competitors":[183],"among":[184],"constraint-based":[187],"algorithms.Keywordsgraphical":[188],"modelBayesian":[189],"networkcausal":[190],"discoverycharacteristic":[191],"imsetpolytopeedge-walkGESmax-min":[192],"climbingMSC":[194],"codesPrimary,":[195],"62D2052B12Secondary,":[196],"62H2252B05":[197]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}