{"id":"https://openalex.org/W2273105751","doi":"https://doi.org/10.1109/isit.2016.7541630","title":"Partial recovery bounds for the sparse stochastic block model","display_name":"Partial recovery bounds for the sparse stochastic block model","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2273105751","doi":"https://doi.org/10.1109/isit.2016.7541630","mag":"2273105751"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.00877","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046337437","display_name":"Jonathan Scarlett","orcid":"https://orcid.org/0000-0003-1403-9160"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Jonathan Scarlett","raw_affiliation_strings":["Laboratory for Information and Inference Systems (LIONS), &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Switzerland","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Inference Systems (LIONS), &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027059837","display_name":"Volkan Cevher","orcid":"https://orcid.org/0000-0002-5004-201X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Volkan Cevher","raw_affiliation_strings":["Laboratory for Information and Inference Systems (LIONS), &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Switzerland","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Inference Systems (LIONS), &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046337437"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01163087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1904","last_page":"1908"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9894000291824341,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.7467629909515381},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7159733176231384},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6906010508537292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6286091208457947},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6273726224899292},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.595889687538147},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5684363842010498},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5495012998580933},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.486476868391037},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34700554609298706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34382569789886475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3279343545436859},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23885971307754517},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1291564702987671},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11710989475250244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0663076639175415}],"concepts":[{"id":"https://openalex.org/C2779982251","wikidata":"https://www.wikidata.org/wiki/Q25053762","display_name":"Stochastic block model","level":3,"score":0.7467629909515381},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7159733176231384},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6906010508537292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6286091208457947},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6273726224899292},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.595889687538147},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5684363842010498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5495012998580933},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.486476868391037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34700554609298706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34382569789886475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3279343545436859},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23885971307754517},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1291564702987671},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11710989475250244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0663076639175415},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/isit.2016.7541630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1602.00877","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.00877","pdf_url":"https://arxiv.org/pdf/1602.00877","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:infoscience.tind.io:215129","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/122386","pdf_url":"http://infoscience.epfl.ch/record/215129","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"},{"id":"mag:2273105751","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1602.00877.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:215129","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/215129","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1602.00877","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1602.00877","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.00877","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.00877","pdf_url":"https://arxiv.org/pdf/1602.00877","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1078427802","display_name":"Large-Scale Sparse Bayesian Modeling, Inference, and Design","funder_award_id":"147633","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2253168722","display_name":null,"funder_award_id":"SNF CRSII2-147633","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2835244012","display_name":"Phenolic substances with estrogenic disruptor potential as contaminants in the aquatic environment (PHENCON)","funder_award_id":"66566","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4498144917","display_name":null,"funder_award_id":"200021-146750","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4836148144","display_name":null,"funder_award_id":"20002","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4847389331","display_name":null,"funder_award_id":"665667","funder_id":"https://openalex.org/F4320320915","funder_display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne"},{"id":"https://openalex.org/G5256785375","display_name":null,"funder_award_id":"200021-","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5301742166","display_name":null,"funder_award_id":"SNF CRSII2-147633","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6318238771","display_name":"Z\u00fcrcher Ietas-Grabung.","funder_award_id":"46750","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7825994806","display_name":null,"funder_award_id":"CRSII2","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8311538140","display_name":null,"funder_award_id":"146750","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G852170866","display_name":null,"funder_award_id":"665667","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8972124964","display_name":null,"funder_award_id":"SNF 200021-146750","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G966172873","display_name":"Bison und Lakota: Reinterpretation von kultureller Identit\u00e4t anhand des Verh\u00e4ltnisses zu einem 'heiligen' Tier und \u00f6konomischem Assimilationszwang.","funder_award_id":"65667","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G993971353","display_name":null,"funder_award_id":"200021","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320915","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W568673721","https://openalex.org/W626380189","https://openalex.org/W1737288045","https://openalex.org/W1855425795","https://openalex.org/W1890589357","https://openalex.org/W2004531067","https://openalex.org/W2023348178","https://openalex.org/W2116061856","https://openalex.org/W2127048411","https://openalex.org/W2219655028","https://openalex.org/W2286068019","https://openalex.org/W2567866584","https://openalex.org/W2962749912","https://openalex.org/W2963105348","https://openalex.org/W2963264680","https://openalex.org/W2963974511","https://openalex.org/W3101273398","https://openalex.org/W4245577611","https://openalex.org/W6620020898","https://openalex.org/W6638539391","https://openalex.org/W6639623841","https://openalex.org/W6677157430","https://openalex.org/W6680719275","https://openalex.org/W6686079578","https://openalex.org/W6696201232","https://openalex.org/W6724984997"],"related_works":["https://openalex.org/W3123190877","https://openalex.org/W1945575495","https://openalex.org/W2949364492","https://openalex.org/W2184627894","https://openalex.org/W1612237203","https://openalex.org/W3107391176","https://openalex.org/W2112930440","https://openalex.org/W2808095470","https://openalex.org/W2400225133","https://openalex.org/W2561162996","https://openalex.org/W3031093968","https://openalex.org/W2064947478","https://openalex.org/W2221257724","https://openalex.org/W2951548830","https://openalex.org/W2889230864","https://openalex.org/W2160354932","https://openalex.org/W2063372469","https://openalex.org/W2581308051","https://openalex.org/W2950528635","https://openalex.org/W2952918649"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,12,30,50,65,79],"information-theoretic":[6],"limits":[7],"of":[8,52,72],"community":[9,53],"detection":[10],"in":[11,33,78],"symmetric":[13],"two-community":[14],"stochastic":[15],"block":[16],"model,":[17],"with":[18,41],"intra-community":[19],"and":[20,25,36,43,46,76],"inter-community":[21],"edge":[22],"probabilities":[23],"a/n":[24],"b/n":[26],"respectively.":[27],"We":[28,58],"consider":[29],"sparse":[31],"setting,":[32],"which":[34,64],"a":[35,60,73,82],"b":[37,84],"do":[38],"not":[39],"scale":[40],"n,":[42],"provide":[44,59],"upper":[45],"lower":[47],"bounds":[48,66],"on":[49,56],"proportion":[51],"labels":[54],"recovered":[55],"average.":[57],"numerical":[61],"example":[62],"for":[63,69],"are":[67],"near-matching":[68],"moderate":[70],"values":[71],"-":[74,83],"b,":[75],"matching":[77],"limit":[80],"as":[81],"grows":[85],"large.":[86]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
