{"id":"https://openalex.org/W4411207242","doi":"https://doi.org/10.1287/moor.2023.0309","title":"Online Matching in Geometric Random Graphs","display_name":"Online Matching in Geometric Random Graphs","publication_year":2025,"publication_date":"2025-06-11","ids":{"openalex":"https://openalex.org/W4411207242","doi":"https://doi.org/10.1287/moor.2023.0309"},"language":"en","primary_location":{"id":"doi:10.1287/moor.2023.0309","is_oa":false,"landing_page_url":"https://doi.org/10.1287/moor.2023.0309","pdf_url":null,"source":{"id":"https://openalex.org/S55826652","display_name":"Mathematics of Operations Research","issn_l":"0364-765X","issn":["0364-765X","1526-5471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Operations Research","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/A5022391955","display_name":"Flore Sentenac","orcid":"https://orcid.org/0009-0005-3847-5794"},"institutions":[{"id":"https://openalex.org/I83860666","display_name":"HEC Paris","ror":"https://ror.org/0423jsj19","country_code":"FR","type":"education","lineage":["https://openalex.org/I83860666"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Flore Sentenac","raw_affiliation_strings":["\u00c9cole des hautes \u00e9tudes commerciales de Paris, Paris, France"],"raw_orcid":"https://orcid.org/0009-0005-3847-5794","affiliations":[{"raw_affiliation_string":"\u00c9cole des hautes \u00e9tudes commerciales de Paris, Paris, France","institution_ids":["https://openalex.org/I83860666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001965250","display_name":"Nathan Noiry","orcid":"https://orcid.org/0000-0002-7898-8640"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nathan Noiry","raw_affiliation_strings":["Statistique Signal et Apprentissage, Telecom Paris, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistique Signal et Apprentissage, Telecom Paris, Paris, France","institution_ids":["https://openalex.org/I12356871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113511073","display_name":"Matthieu Lerasle","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137396","display_name":"Centre de Recherche en \u00c9conomie et Statistique","ror":"https://ror.org/0449khs19","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210108488","https://openalex.org/I4210108488","https://openalex.org/I4210137396","https://openalex.org/I4210145102","https://openalex.org/I4210145102","https://openalex.org/I4210150854","https://openalex.org/I84009706"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matthieu Lerasle","raw_affiliation_strings":["Center for Research in Economics and Statistics, \u00c9cole nationale de la statistique et de l\u2019administration \u00e9conomique IP (Institut Polytechnique) Paris, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Research in Economics and Statistics, \u00c9cole nationale de la statistique et de l\u2019administration \u00e9conomique IP (Institut Polytechnique) Paris, Paris, France","institution_ids":["https://openalex.org/I4210137396"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022145098","display_name":"Laurent M\u00e9nard","orcid":"https://orcid.org/0000-0001-7867-1881"},"institutions":[{"id":"https://openalex.org/I40434647","display_name":"Universit\u00e9 Paris Nanterre","ror":"https://ror.org/013bkhk48","country_code":"FR","type":"education","lineage":["https://openalex.org/I40434647"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent M\u00e9nard","raw_affiliation_strings":["Modal\u2019X, Unit\u00e9 mixte de recherche Centre national de la recherche scientifique 9023, UPL, University of Paris Nanterre, Nanterre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Modal\u2019X, Unit\u00e9 mixte de recherche Centre national de la recherche scientifique 9023, UPL, University of Paris Nanterre, Nanterre, France","institution_ids":["https://openalex.org/I40434647"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067550667","display_name":"Vianney Perchet","orcid":"https://orcid.org/0000-0002-9333-264X"},"institutions":[{"id":"https://openalex.org/I4210137396","display_name":"Centre de Recherche en \u00c9conomie et Statistique","ror":"https://ror.org/0449khs19","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210108488","https://openalex.org/I4210108488","https://openalex.org/I4210137396","https://openalex.org/I4210145102","https://openalex.org/I4210145102","https://openalex.org/I4210150854","https://openalex.org/I84009706"]},{"id":"https://openalex.org/I84009706","display_name":"ENSAE Paris","ror":"https://ror.org/01fz7mn40","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210108488","https://openalex.org/I4210145102","https://openalex.org/I84009706"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vianney Perchet","raw_affiliation_strings":["CREST, ENSAE, CRITEO Artificial Intelligence Lab, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CREST, ENSAE, CRITEO Artificial Intelligence Lab, Paris, France","institution_ids":["https://openalex.org/I84009706","https://openalex.org/I4210137396"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0581,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78590849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"51","issue":"2","first_page":"1585","last_page":"1625"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.7952139377593994},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5387632846832275},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5319096446037292},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3457260727882385},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21060487627983093}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7952139377593994},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5387632846832275},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5319096446037292},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3457260727882385},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21060487627983093}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1287/moor.2023.0309","is_oa":false,"landing_page_url":"https://doi.org/10.1287/moor.2023.0309","pdf_url":null,"source":{"id":"https://openalex.org/S55826652","display_name":"Mathematics of Operations Research","issn_l":"0364-765X","issn":["0364-765X","1526-5471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1366640632","display_name":"Processes on random Graphs and Maps","funder_award_id":"ANR-19-CE40-0025","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2169522505","display_name":"Foundations of robustness and reliability in artificial intelligence","funder_award_id":"ANR-23-PEIA-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3561798612","display_name":"R\u00e9guler l'\u00e9conomie au service de la soci\u00e9t\u00e9","funder_award_id":"ANR-11-LABX-0047","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1979720612","https://openalex.org/W1995337396","https://openalex.org/W2029945631","https://openalex.org/W2036185487","https://openalex.org/W2048837158","https://openalex.org/W2571343094"],"related_works":["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","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,170,185,217],"investigate":[1,193],"online":[2,190,201,279],"maximum":[3,180],"cardinality":[4],"matching,":[5],"a":[6,114,122,148,152,179,214,238,316],"central":[7],"problem":[8],"in":[9,55,67,85,108,163,213,296,310,344,353],"ad":[10],"allocation.":[11],"In":[12],"this":[13,61,90,172,245],"problem,":[14,283],"users":[15,47,99],"are":[16,102,126],"revealed":[17],"sequentially,":[18],"and":[19,100,113,182,192,256,284,363],"each":[20],"new":[21],"user":[22,115],"can":[23,223,249,286],"be":[24,119,224,274],"paired":[25,120],"with":[26,48,121,208,226],"any":[27,49],"previously":[28,322],"unmatched":[29],"campaign":[30,123],"that":[31,130,177,219,260,297],"it":[32,261],"is":[33,116,137,147,231,331,383],"compatible":[34],"with.":[35],"Despite":[36],"the":[37,41,73,95,109,131,156,159,189,194,200,220,235,251,278,288,304,311,321,347,354,357,365,374,386],"limited":[38],"theoretical":[39,58],"guarantees,":[40],"greedy":[42,215],"algorithm,":[43],"which":[44,204,230],"matches":[45,197],"incoming":[46,206],"available":[50,211],"campaign,":[51],"exhibits":[52],"outstanding":[53],"performance":[54,222],"practice.":[56],"Some":[57],"support":[59],"for":[60],"practical":[62],"success":[63],"has":[64],"been":[65],"established":[66],"specific":[68,239],"classes":[69],"of":[70,158,196,237,254,299,308,356],"graphs,":[71],"where":[72,143],"connections":[74],"between":[75,133],"different":[76],"vertices":[77],"lack":[78],"strong":[79],"correlations\u2014an":[80],"assumption":[81],"not":[82],"always":[83],"valid":[84],"real-world":[86],"situations.":[87],"To":[88],"bridge":[89],"gap,":[91],"we":[92,154,248,285,302],"focus":[93],"on":[94],"following":[96],"model;":[97],"both":[98],"campaigns":[101],"represented":[103],"as":[104,234],"points":[105,136,207],"uniformly":[106],"distributed":[107],"interval":[110],"[0,":[111],"1],":[112],"eligible":[117],"to":[118,188,273,277,292],"if":[124],"they":[125],"\u201csimilar":[127],"enough,\u201d":[128],"meaning":[129],"distance":[132],"their":[134,209],"respective":[135],"less":[138],"than":[139,265,320],"[Formula:":[140,144],"see":[141,145],"text],":[142],"text]":[146],"model":[149,270],"parameter.":[150],"As":[151],"benchmark,":[153],"determine":[155,303],"size":[157],"optimal":[160],"offline":[161],"matching":[162,181,282],"these":[164],"bipartite":[165],"one-dimensional":[166],"random":[167],"geometric":[168],"graphs.":[169],"achieve":[171],"by":[173,199,333,346,373,385],"introducing":[174],"an":[175],"algorithm":[176,202],"constructs":[178],"analyzing":[183],"it.":[184],"then":[186],"turn":[187],"setting":[191],"number":[195],"made":[198],"Closest,":[203,255],"pairs":[205],"nearest":[210],"neighbors":[212],"manner.":[216],"demonstrate":[218],"algorithm\u2019s":[221],"compared":[225],"its":[227,266],"fluid":[228],"limit,":[229],"completely":[232],"characterized":[233],"solution":[236],"partial":[240],"differential":[241],"equation":[242],"(PDE).":[243],"From":[244],"PDE":[246],"solution,":[247],"compute":[250],"competitive":[252],"ratio":[253],"our":[257],"computations":[258],"reveal":[259],"remains":[262],"significantly":[263],"better":[264],"worst-case":[267],"guarantee.":[268],"This":[269,340],"turns":[271],"out":[272],"closely":[275],"related":[276],"minimum":[280],"cost":[281,307],"extend":[287],"results":[289],"obtained":[290],"here":[291],"refine":[293],"certain":[294],"findings":[295],"area":[298],"research.":[300],"Specifically,":[301],"exact":[305],"asymptotic":[306],"Closest":[309],"small":[312],"excess":[313],"regime,":[314],"providing":[315],"more":[317],"accurate":[318],"estimate":[319],"known":[323],"loose":[324],"upper":[325],"bound.":[326],"Funding:":[327],"M.":[328],"Lerasle\u2019s":[329],"research":[330,341,382],"supported":[332,343,384],"Agency":[334,351],"(ANR),":[335],"\u201cInvestissements":[336],"d\u2019Avenir\u201d":[337],"[LabEx":[338],"Ecodec/ANR-11-LABX-0047].":[339],"was":[342,370],"part":[345],"French":[348],"National":[349],"Research":[350],"(ANR)":[352],"framework":[355],"PEPR":[358],"IA":[359],"FOUNDRY":[360],"project":[361],"[ANR-23-PEIA-0003]":[362],"through":[364],"Grant":[366],"DOOM":[367],"ANR23-CE23-0002.":[368],"It":[369],"also":[371],"funded":[372],"European":[375],"Union":[376],"[ERC,":[377],"Ocean,":[378],"101071601].":[379],"L.":[380],"M\u00e9nard\u2019s":[381],"ANR":[387],"grant":[388],"ProGraM":[389],"[ANR-19-CE40-0025].":[390]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
