{"id":"https://openalex.org/W4403270545","doi":"https://doi.org/10.1017/s0963548324000166","title":"Partial recovery and weak consistency in the non-uniform hypergraph stochastic block model","display_name":"Partial recovery and weak consistency in the non-uniform hypergraph stochastic block model","publication_year":2024,"publication_date":"2024-10-09","ids":{"openalex":"https://openalex.org/W4403270545","doi":"https://doi.org/10.1017/s0963548324000166"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548324000166","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548324000166","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/575DF972CE90E358FAD6A98233199F16/S0963548324000166a.pdf/div-class-title-partial-recovery-and-weak-consistency-in-the-non-uniform-hypergraph-stochastic-block-model-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/575DF972CE90E358FAD6A98233199F16/S0963548324000166a.pdf/div-class-title-partial-recovery-and-weak-consistency-in-the-non-uniform-hypergraph-stochastic-block-model-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031997473","display_name":"Ioana Dumitriu","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ioana Dumitriu","raw_affiliation_strings":["Department of Mathematics, University of California, San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075751405","display_name":"Hai\u2010Xiao Wang","orcid":"https://orcid.org/0000-0003-0379-4443"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hai-Xiao Wang","raw_affiliation_strings":["Department of Mathematics, University of California, San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028927697","display_name":"Yizhe Zhu","orcid":"https://orcid.org/0000-0002-5665-0374"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yizhe Zhu","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075751405"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.5764,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70356679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"34","issue":"1","first_page":"1","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.984499990940094,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.984499990940094,"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/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.9821000099182129,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9753000140190125,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7717924118041992},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.7653688788414001},{"id":"https://openalex.org/keywords/stochastic-block-model","display_name":"Stochastic block model","score":0.6757165193557739},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6318973898887634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5405771136283875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3438915014266968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33379921317100525},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23842617869377136},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22601783275604248}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7717924118041992},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7653688788414001},{"id":"https://openalex.org/C2779982251","wikidata":"https://www.wikidata.org/wiki/Q25053762","display_name":"Stochastic block model","level":3,"score":0.6757165193557739},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6318973898887634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5405771136283875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3438915014266968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33379921317100525},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23842617869377136},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22601783275604248},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548324000166","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548324000166","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/575DF972CE90E358FAD6A98233199F16/S0963548324000166a.pdf/div-class-title-partial-recovery-and-weak-consistency-in-the-non-uniform-hypergraph-stochastic-block-model-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0963548324000166","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548324000166","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/575DF972CE90E358FAD6A98233199F16/S0963548324000166a.pdf/div-class-title-partial-recovery-and-weak-consistency-in-the-non-uniform-hypergraph-stochastic-block-model-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4403270545.pdf"},"referenced_works_count":79,"referenced_works":["https://openalex.org/W1798337851","https://openalex.org/W1900968552","https://openalex.org/W1974967023","https://openalex.org/W1979110822","https://openalex.org/W2023348178","https://openalex.org/W2051638434","https://openalex.org/W2101267973","https://openalex.org/W2102907934","https://openalex.org/W2112008792","https://openalex.org/W2113339916","https://openalex.org/W2119541122","https://openalex.org/W2120901716","https://openalex.org/W2121947440","https://openalex.org/W2133361319","https://openalex.org/W2140360868","https://openalex.org/W2162521241","https://openalex.org/W2216459995","https://openalex.org/W2219655028","https://openalex.org/W2287783892","https://openalex.org/W2302206641","https://openalex.org/W2470861207","https://openalex.org/W2559655401","https://openalex.org/W2602671714","https://openalex.org/W2744363584","https://openalex.org/W2766650626","https://openalex.org/W2790609319","https://openalex.org/W2803224311","https://openalex.org/W2884840075","https://openalex.org/W2893482299","https://openalex.org/W2900800369","https://openalex.org/W2938922898","https://openalex.org/W2946173690","https://openalex.org/W2962681781","https://openalex.org/W2962801026","https://openalex.org/W2962931054","https://openalex.org/W2963105348","https://openalex.org/W2963229940","https://openalex.org/W2963264680","https://openalex.org/W2963593851","https://openalex.org/W2963660540","https://openalex.org/W2963661549","https://openalex.org/W2964030270","https://openalex.org/W2990138404","https://openalex.org/W2990423062","https://openalex.org/W2998651711","https://openalex.org/W2999905431","https://openalex.org/W3000678332","https://openalex.org/W3011522481","https://openalex.org/W3026519987","https://openalex.org/W3033513666","https://openalex.org/W3035258118","https://openalex.org/W3043617248","https://openalex.org/W3100144903","https://openalex.org/W3100252270","https://openalex.org/W3101175778","https://openalex.org/W3101273398","https://openalex.org/W3102985312","https://openalex.org/W3104010982","https://openalex.org/W3111358795","https://openalex.org/W3159451596","https://openalex.org/W3204668058","https://openalex.org/W3212051357","https://openalex.org/W3213920619","https://openalex.org/W3214517695","https://openalex.org/W4213168719","https://openalex.org/W4243880374","https://openalex.org/W4250954493","https://openalex.org/W4285193794","https://openalex.org/W4295308166","https://openalex.org/W4297755884","https://openalex.org/W4376608128","https://openalex.org/W4385695933","https://openalex.org/W4392227180","https://openalex.org/W6696664823","https://openalex.org/W6735855921","https://openalex.org/W6763701423","https://openalex.org/W6793918181","https://openalex.org/W6804130085","https://openalex.org/W6810023540"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4376608589","https://openalex.org/W1537073411","https://openalex.org/W3128249290","https://openalex.org/W3094179932","https://openalex.org/W3005801850","https://openalex.org/W2950595062","https://openalex.org/W3137238582","https://openalex.org/W3160515686","https://openalex.org/W3205521290"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"the":[3,12,32,55,65,70,73,78,92,126,131,156,164,176,181],"community":[4,26],"detection":[5],"problem":[6],"in":[7,95],"sparse":[8,185],"random":[9,23,33,187],"hypergraphs":[10],"under":[11],"non-uniform":[13,106,186],"hypergraph":[14,34],"stochastic":[15],"block":[16],"model":[17,21],"(HSBM),":[18],"a":[19,41,46,51,138],"general":[20],"of":[22,54,69,80,112,121,171,180,192],"networks":[24],"with":[25,48],"structure":[27],"and":[28,97,142,153,178],"higher-order":[29],"interactions.":[30],"When":[31,72],"has":[35],"bounded":[36],"expected":[37],"degrees,":[38],"we":[39],"provide":[40,125],"spectral":[42,109],"algorithm":[43,86,110,173],"that":[44],"outputs":[45],"partition":[47,146],"at":[49],"least":[50],"$\\gamma$":[52],"fraction":[53],"vertices":[56,81],"classified":[57],"correctly,":[58],"where":[59],"$\\gamma":[60],"\\in":[61],"(0.5,1)$":[62],"depends":[63],"on":[64,148,175],"signal-to-noise":[66,128],"ratio":[67,129],"(SNR)":[68],"model.":[71],"SNR":[74],"grows":[75],"slowly":[76],"as":[77],"number":[79],"goes":[82],"to":[83,124,162],"infinity,":[84],"our":[85,172],"achieves":[87],"weak":[88],"consistency,":[89],"which":[90,189],"improves":[91],"previous":[93],"results":[94],"Ghoshdastidar":[96],"Dukkipati":[98],"((2017)":[99],"Ann.":[100],"Stat.":[101],"45":[102],"(1)":[103,116],"289\u2013315.)":[104],"for":[105,130,184],"HSBMs.":[107],"Our":[108],"consists":[111],"three":[113],"major":[114],"steps:":[115],"Hyperedge":[117],"selection:":[118],"select":[119],"hyperedges":[120],"certain":[122],"sizes":[123],"maximal":[127],"induced":[132],"sub-hypergraph;":[133],"(2)":[134],"Spectral":[135],"partition:":[136],"construct":[137],"regularised":[139],"adjacency":[140,160,182],"matrix":[141,183],"obtain":[143],"an":[144],"approximate":[145],"based":[147],"singular":[149],"vectors;":[150],"(3)":[151],"Correction":[152],"merging:":[154],"incorporate":[155],"hyperedge":[157],"information":[158],"from":[159],"tensors":[161],"upgrade":[163],"error":[165],"rate":[166],"guarantee.":[167],"The":[168],"theoretical":[169],"analysis":[170],"relies":[174],"concentration":[177],"regularisation":[179],"hypergraphs,":[188],"can":[190],"be":[191],"independent":[193],"interest.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
