{"id":"https://openalex.org/W7127991844","doi":"https://doi.org/10.48550/arxiv.2602.05852","title":"Exact Recovery in the Data Block Model","display_name":"Exact Recovery in the Data Block Model","publication_year":2026,"publication_date":"2026-02-05","ids":{"openalex":"https://openalex.org/W7127991844","doi":"https://doi.org/10.48550/arxiv.2602.05852"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.05852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.05852","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.2602.05852","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007371970","display_name":"Amir Reza Asadi","orcid":"https://orcid.org/0000-0001-5440-8456"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Asadi, Amir R.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125205549","display_name":"Akbar Davoodi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Davoodi, Akbar","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013062876","display_name":"Ramin Javadi","orcid":"https://orcid.org/0000-0003-4401-2110"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Javadi, Ramin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006066917","display_name":"Farzad Parvaresh","orcid":"https://orcid.org/0000-0001-5292-0915"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Parvaresh, Farzad","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007371970"],"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9225999712944031,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9225999712944031,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.012600000016391277,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.01119999960064888,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-block-model","display_name":"Stochastic block model","score":0.8209999799728394},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.7405999898910522},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.5633999705314636},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4611999988555908},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40049999952316284},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.3901999890804291},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.36730000376701355},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.36559998989105225}],"concepts":[{"id":"https://openalex.org/C2779982251","wikidata":"https://www.wikidata.org/wiki/Q25053762","display_name":"Stochastic block model","level":3,"score":0.8209999799728394},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7405999898910522},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.5633999705314636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5464000105857849},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4611999988555908},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.448199987411499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41100001335144043},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40049999952316284},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.36730000376701355},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.36559998989105225},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.35690000653266907},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.351500004529953},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.33959999680519104},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.3391999900341034},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.3294999897480011},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2750000059604645},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2721000015735626},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2583000063896179},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.2515000104904175},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.05852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.05852","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.2602.05852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.05852","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":{"Community":[0],"detection":[1],"in":[2,8,16,87,162],"networks":[3,70],"is":[4,48],"a":[5,31,49,117,137],"fundamental":[6],"problem":[7],"machine":[9],"learning":[10],"and":[11,21,38,104,112,151],"statistical":[12],"inference,":[13],"with":[14,45,96,136],"applications":[15],"social":[17],"networks,":[18],"biological":[19],"systems,":[20],"communication":[22],"networks.":[23],"The":[24],"stochastic":[25],"block":[26],"model":[27],"(SBM)":[28],"serves":[29],"as":[30,75,99,159],"canonical":[32],"framework":[33],"for":[34,60,122],"studying":[35],"community":[36,163],"structure,":[37],"exact":[39,61,85,119],"recovery,":[40],"identifying":[41],"the":[42,57,88,109,123,144,153],"true":[43],"communities":[44],"high":[46],"probability,":[47],"central":[50],"theoretical":[51],"question.":[52],"While":[53],"classical":[54],"results":[55],"characterize":[56,116],"phase":[58],"transition":[59],"recovery":[62,86,120],"based":[63],"solely":[64],"on":[65],"graph":[66],"connectivity,":[67],"many":[68],"real-world":[69],"contain":[71],"additional":[72],"data,":[73,98],"such":[74],"node":[76],"attributes":[77],"or":[78],"labels.":[79],"In":[80],"this":[81,133],"work,":[82],"we":[83],"study":[84],"Data":[89],"Block":[90],"Model":[91],"(DBM),":[92],"an":[93,128],"SBM":[94],"augmented":[95],"node-associated":[97],"formalized":[100],"by":[101],"Asadi,":[102],"Abbe,":[103],"Verd\u00fa":[105],"(2017).":[106],"We":[107,125],"introduce":[108],"Chernoff--TV":[110],"divergence":[111],"use":[113],"it":[114],"to":[115],"sharp":[118],"threshold":[121],"DBM.":[124],"further":[126],"provide":[127],"efficient":[129],"algorithm":[130],"that":[131],"achieves":[132],"threshold,":[134],"along":[135],"matching":[138],"converse":[139],"result":[140],"showing":[141],"impossibility":[142],"below":[143],"threshold.":[145],"Finally,":[146],"simulations":[147],"validate":[148],"our":[149],"findings":[150],"demonstrate":[152],"benefits":[154],"of":[155],"incorporating":[156],"vertex":[157],"data":[158],"side":[160],"information":[161],"detection.":[164]},"counts_by_year":[],"updated_date":"2026-02-07T06:15:42.627816","created_date":"2026-02-07T00:00:00"}