Community detection in the sparse hypergraph stochastic block model
We consider the community detection problem in sparse random hypergraphs. Angelini et al. in [6] conjectured the existence of a sharp threshold on model parameters for community detection in sparse hypergraphs generated by a hypergraph stochastic block model. We solve the positive part of the conjec...
Saved in:
| Published in | Random structures & algorithms Vol. 59; no. 3; pp. 407 - 463 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
John Wiley & Sons, Inc
01.10.2021
Wiley Subscription Services, Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1042-9832 1098-2418 |
| DOI | 10.1002/rsa.21006 |
Cover
| Abstract | We consider the community detection problem in sparse random hypergraphs. Angelini et al. in [6] conjectured the existence of a sharp threshold on model parameters for community detection in sparse hypergraphs generated by a hypergraph stochastic block model. We solve the positive part of the conjecture for the case of two blocks: above the threshold, there is a spectral algorithm which asymptotically almost surely constructs a partition of the hypergraph correlated with the true partition. Our method is a generalization to random hypergraphs of the method developed by Massoulié (2014) for sparse random graphs. |
|---|---|
| AbstractList | We consider the community detection problem in sparse random hypergraphs. Angelini et al. in [6] conjectured the existence of a sharp threshold on model parameters for community detection in sparse hypergraphs generated by a hypergraph stochastic block model. We solve the positive part of the conjecture for the case of two blocks: above the threshold, there is a spectral algorithm which asymptotically almost surely constructs a partition of the hypergraph correlated with the true partition. Our method is a generalization to random hypergraphs of the method developed by Massoulié (2014) for sparse random graphs. |
| Author | Zhu, Yizhe Pal, Soumik |
| Author_xml | – sequence: 1 givenname: Soumik surname: Pal fullname: Pal, Soumik organization: University of Washington – sequence: 2 givenname: Yizhe surname: Zhu fullname: Zhu, Yizhe email: yiz084@ucsd.edu organization: University of California, San Diego |
| BookMark | eNp1kMtOwzAURC1UJNrCgj-wxIpFWj8SO1lWES8JCYnH2nJvHeKSxMF2hfL3pLQrBKs7izMzujNDk851BqFLShaUELb0QS_YqMQJmlJS5AlLaT7Z65QlRc7ZGZqFsCWESM74FJWla9tdZ-OANyYaiNZ12HY41gaHXvtgcD30xr973dc4RAe1DtECXjcOPnDrNqY5R6eVboK5ON45eru9eS3vk8enu4dy9ZgAF1wkgkNmqCig0EZTyDjXKazTgpCcMZKlIOmG5aIgWuqMplqsKUiSSwBWiSojfI6uDrm9d587E6Laup3vxkrFskyOKUUqR2p5oMC7ELypFNio939Fr22jKFH7pdS4lPpZanRc_3L03rbaD3-yx_Qv25jhf1A9v6wOjm_6unkt |
| CitedBy_id | crossref_primary_10_1093_bioinformatics_btac250 crossref_primary_10_1016_j_dam_2023_06_002 crossref_primary_10_1017_S0963548324000166 crossref_primary_10_1088_1742_5468_ad343b crossref_primary_10_1093_imaiai_iaae004 crossref_primary_10_1103_PhysRevE_109_034309 crossref_primary_10_1109_TIT_2022_3205959 crossref_primary_10_1007_s42952_024_00260_9 crossref_primary_10_1109_TIT_2024_3411523 crossref_primary_10_1214_21_EJS1838 |
| Cites_doi | 10.1093/acprof:oso/9780199535255.001.0001 10.1214/15-AAP1145 10.1145/2591796.2591857 10.1007/s10955-018-1977-1 10.1201/b19706 10.1214/16-AOP1142 10.1016/j.laa.2020.01.039 10.1214/16-AOS1453 10.1007/s00493-016-3238-8 10.1109/ISIT.2017.8006915 10.1007/s00440-014-0576-6 10.1137/19M1257135 10.1137/1.9781611974331.ch108 10.1093/bioinformatics/btp467 10.1109/TIT.2015.2490670 10.1109/CVPR.2005.89 10.1145/2512329 10.1017/CBO9781139020411 10.1007/s00440-015-0659-z 10.1073/pnas.1312486110 10.1214/aoap/1019487349 10.1609/aaai.v29i1.9556 10.1109/TIT.2019.2928301 10.1103/PhysRevE.84.066106 10.1002/cpa.21719 10.1002/rsa.20443 10.1109/ALLERTON.2015.7446987 10.1109/TIT.2016.2546280 10.1016/j.patcog.2010.07.014 |
| ContentType | Journal Article |
| Copyright | 2021 Wiley Periodicals LLC. |
| Copyright_xml | – notice: 2021 Wiley Periodicals LLC. |
| DBID | AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D |
| DOI | 10.1002/rsa.21006 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | CrossRef Computer and Information Systems Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1098-2418 |
| EndPage | 463 |
| ExternalDocumentID | 10_1002_rsa_21006 RSA21006 |
| Genre | article |
| GrantInformation_xml | – fundername: NSF grant funderid: DMS‐1612483; DMS‐1949617 |
| GroupedDBID | -~X .3N .4S .DC .GA .Y3 05W 0R~ 10A 123 1L6 1OB 1OC 1ZS 31~ 33P 3SF 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5VS 66C 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHHS AAHQN AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABEML ABIJN ABJNI ABPVW ACAHQ ACBWZ ACCFJ ACCZN ACGFO ACGFS ACIWK ACPOU ACRPL ACSCC ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADNMO ADOZA ADXAS ADZMN AEEZP AEIGN AEIMD AENEX AEQDE AEUQT AEUYR AFBPY AFFPM AFGKR AFPWT AFWVQ AFZJQ AHBTC AIAGR AITYG AIURR AIWBW AJBDE AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN ALVPJ AMBMR AMYDB ARCSS ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BY8 CS3 D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EBS EJD F00 F01 F04 FEDTE FSPIC G-S G.N GNP GODZA H.T H.X HBH HF~ HGLYW HHY HVGLF HZ~ H~9 IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES M6L MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ NNB O66 O9- OIG P2P P2W P2X P4D PALCI PQQKQ Q.N Q11 QB0 QRW R.K RIWAO RJQFR ROL RWI RX1 SAMSI SUPJJ TN5 TUS UB1 V2E V8K W8V W99 WBKPD WH7 WIB WIH WIK WOHZO WQJ WRC WWM WXSBR WYISQ XBAML XG1 XPP XSW XV2 ZZTAW ~IA ~WT AAMMB AAYXX AEFGJ AEYWJ AGHNM AGQPQ AGXDD AGYGG AIDQK AIDYY AIQQE AMVHM CITATION 7SC 8FD JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c3636-63c5e169c9aea1c533a4cb4900822054c71d28690a7a514a6b1c7087cc2f6f503 |
| IEDL.DBID | DR2 |
| ISSN | 1042-9832 |
| IngestDate | Fri Jul 25 12:16:39 EDT 2025 Wed Oct 01 02:13:18 EDT 2025 Thu Apr 24 23:05:31 EDT 2025 Wed Jan 22 16:28:39 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c3636-63c5e169c9aea1c533a4cb4900822054c71d28690a7a514a6b1c7087cc2f6f503 |
| Notes | Funding information NSF grant,DMS‐1612483;DMS‐1949617 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2557822947 |
| PQPubID | 1016429 |
| PageCount | 57 |
| ParticipantIDs | proquest_journals_2557822947 crossref_citationtrail_10_1002_rsa_21006 crossref_primary_10_1002_rsa_21006 wiley_primary_10_1002_rsa_21006_RSA21006 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | October 2021 |
| PublicationDateYYYYMMDD | 2021-10-01 |
| PublicationDate_xml | – month: 10 year: 2021 text: October 2021 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York – name: Hoboken |
| PublicationTitle | Random structures & algorithms |
| PublicationYear | 2021 |
| Publisher | John Wiley & Sons, Inc Wiley Subscription Services, Inc |
| Publisher_xml | – name: John Wiley & Sons, Inc – name: Wiley Subscription Services, Inc |
| References | 2015; 162 2009; 25 2012 2011; 84 2017; 45 2007 2016; 165 2011; 7 2018; 46 2018; 18 2020; 2 2018; 173 2015; 29 2020 2019; 65 2020; 593 2000; 10 2019 2018 2013; 60 2011; 44 2016; 62 2017 2016 2015 2014 2013; 110 2018; 71 2005; 2 2013 2016; 26 2018; 38 2012; 41 e_1_2_12_4_1 e_1_2_12_3_1 e_1_2_12_6_1 e_1_2_12_5_1 e_1_2_12_17_1 e_1_2_12_16_1 e_1_2_12_38_1 Abbe E. (e_1_2_12_2_1) 2018; 18 e_1_2_12_22_1 e_1_2_12_23_1 e_1_2_12_24_1 e_1_2_12_25_1 e_1_2_12_26_1 Chien I. (e_1_2_12_12_1) 2018 Zhou D. (e_1_2_12_41_1) 2007 e_1_2_12_40_1 Ghoshdastidar D. (e_1_2_12_20_1) 2015 Florescu L. (e_1_2_12_18_1) 2016 e_1_2_12_27_1 e_1_2_12_28_1 e_1_2_12_29_1 e_1_2_12_30_1 e_1_2_12_31_1 e_1_2_12_32_1 e_1_2_12_33_1 e_1_2_12_34_1 e_1_2_12_35_1 Ghoshdastidar D. (e_1_2_12_21_1) 2015; 29 e_1_2_12_36_1 e_1_2_12_15_1 Tan S. (e_1_2_12_39_1) 2011; 7 e_1_2_12_14_1 e_1_2_12_13_1 e_1_2_12_8_1 e_1_2_12_11_1 Stephan L. (e_1_2_12_37_1) 2019 e_1_2_12_7_1 e_1_2_12_10_1 Ghoshdastidar D. (e_1_2_12_19_1) 2014 e_1_2_12_9_1 |
| References_xml | – start-page: 397 year: 2014 end-page: 405 – start-page: 1589 year: 2016 end-page: 1601 – volume: 7 start-page: 22 year: 2011 article-title: Using rich social media information for music recommendation via hypergraph model publication-title: ACM Trans. Multimedia Comput. Commun. Appl. – volume: 173 start-page: 546 year: 2018 end-page: 625 article-title: Load balancing in hypergraphs publication-title: J. Statist. Phys. – volume: 60 start-page: 45 year: 2013 article-title: Most tensor problems are np‐hard publication-title: J. ACM – start-page: 400 year: 2015 end-page: 409 – volume: 62 start-page: 471 year: 2016 end-page: 487 article-title: Exact recovery in the stochastic block model publication-title: IEEE Trans. Inform. Theory – start-page: 2831 year: 2019 end-page: 2860 – start-page: 871 year: 2018 end-page: 879 – volume: 29 start-page: 2610 year: 2015 end-page: 2616 article-title: Spectral clustering using multilinear SVD: Analysis, approximations and applications publication-title: AAAI – volume: 44 start-page: 2255 year: 2011 end-page: 2262 article-title: Hypergraph with sampling for image retrieval publication-title: Pattern Recogn. – volume: 593 start-page: 45 year: 2020 end-page: 73 article-title: Exact recovery in the hypergraph stochastic block model: A spectral algorithm publication-title: Linear Algebra Appl. – volume: 65 start-page: 8095 year: 2019 end-page: 8118 article-title: On the minimax misclassification ratio of hypergraph community detection publication-title: IEEE Trans. Inform. Theory – year: 2018 – volume: 38 start-page: 665 year: 2018 end-page: 708 article-title: A proof of the block model threshold conjecture publication-title: Combinatorica – volume: 10 start-page: 410 year: 2000 end-page: 433 article-title: Broadcasting on trees and the ising model publication-title: Ann. Appl. Probab. – volume: 165 start-page: 1025 year: 2016 end-page: 1049 article-title: Community detection in sparse networks via Grothendieck's inequality publication-title: Probab. Theory Related Fields – year: 2012 – volume: 45 start-page: 289 year: 2017 end-page: 315 article-title: Consistency of spectral hypergraph partitioning under planted partition model publication-title: Ann. Statist. – volume: 162 start-page: 431 year: 2015 end-page: 461 article-title: Reconstruction and estimation in the planted partition model publication-title: Probab. Theory Related Fields – volume: 84 year: 2011 article-title: Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications publication-title: Phys. Rev. E (3) – volume: 2 start-page: 132 year: 2020 end-page: 157 article-title: Graph powering and spectral robustness publication-title: SIAM J. Math. Data Sci. – volume: 46 start-page: 1 year: 2018 end-page: 71 article-title: Nonbacktracking spectrum of random graphs: Community detection and nonregular Ramanujan graphs publication-title: Ann. Probab. – volume: 110 start-page: 20935 year: 2013 end-page: 20940 article-title: Spectral redemption in clustering sparse networks publication-title: Proc. Natl. Acad. Sci. U.S.A. – year: 2020 – volume: 62 start-page: 2788 year: 2016 end-page: 2797 article-title: Achieving exact cluster recovery threshold via semidefinite programming publication-title: IEEE Trans. Inform. Theory – start-page: 2178 year: 2017 end-page: 2182 – volume: 26 start-page: 2211 year: 2016 end-page: 2256 article-title: Belief propagation, robust reconstruction and optimal recovery of block models publication-title: Ann. Appl. Probab. – start-page: 943 year: 2016 end-page: 959 – volume: 71 start-page: 1334 year: 2018 end-page: 1406 article-title: Proof of the achievability conjectures for the general stochastic block model publication-title: Comm. Pure Appl. Math. – start-page: 1601 year: 2007 end-page: 1608 – start-page: 66 year: 2015 end-page: 73 – start-page: 694 year: 2014 end-page: 703 – year: 2015 – volume: 41 start-page: 521 year: 2012 end-page: 545 article-title: Loose laplacian spectra of random hypergraphs publication-title: Random Structures Algorithms – volume: 25 start-page: 2831 year: 2009 end-page: 2838 article-title: A hypergraph‐based learning algorithm for classifying gene expression and arrayCGH data with prior knowledge publication-title: Bioinformatics – volume: 18 start-page: 1 year: 2018 end-page: 86 article-title: Community detection and stochastic block models: Recent developments publication-title: J. Mach. Learn. Res. – volume: 2 start-page: 838 year: 2005 end-page: 845 – year: 2013 – volume: 7 start-page: 22 year: 2011 ident: e_1_2_12_39_1 article-title: Using rich social media information for music recommendation via hypergraph model publication-title: ACM Trans. Multimedia Comput. Commun. Appl. – ident: e_1_2_12_10_1 doi: 10.1093/acprof:oso/9780199535255.001.0001 – ident: e_1_2_12_35_1 doi: 10.1214/15-AAP1145 – start-page: 1601 volume-title: Advances in Neural Information Processing Systems year: 2007 ident: e_1_2_12_41_1 – ident: e_1_2_12_33_1 doi: 10.1145/2591796.2591857 – volume: 18 start-page: 1 year: 2018 ident: e_1_2_12_2_1 article-title: Community detection and stochastic block models: Recent developments publication-title: J. Mach. Learn. Res. – ident: e_1_2_12_16_1 doi: 10.1007/s10955-018-1977-1 – ident: e_1_2_12_25_1 doi: 10.1201/b19706 – ident: e_1_2_12_9_1 doi: 10.1214/16-AOP1142 – ident: e_1_2_12_14_1 doi: 10.1016/j.laa.2020.01.039 – ident: e_1_2_12_22_1 doi: 10.1214/16-AOS1453 – ident: e_1_2_12_36_1 doi: 10.1007/s00493-016-3238-8 – ident: e_1_2_12_30_1 doi: 10.1109/ISIT.2017.8006915 – ident: e_1_2_12_34_1 doi: 10.1007/s00440-014-0576-6 – ident: e_1_2_12_4_1 doi: 10.1137/19M1257135 – ident: e_1_2_12_11_1 doi: 10.1137/1.9781611974331.ch108 – ident: e_1_2_12_38_1 – ident: e_1_2_12_40_1 doi: 10.1093/bioinformatics/btp467 – ident: e_1_2_12_3_1 doi: 10.1109/TIT.2015.2490670 – ident: e_1_2_12_8_1 – ident: e_1_2_12_6_1 doi: 10.1109/CVPR.2005.89 – start-page: 943 volume-title: Conference on Learning Theory year: 2016 ident: e_1_2_12_18_1 – ident: e_1_2_12_26_1 doi: 10.1145/2512329 – ident: e_1_2_12_27_1 doi: 10.1017/CBO9781139020411 – ident: e_1_2_12_23_1 doi: 10.1007/s00440-015-0659-z – start-page: 871 volume-title: International Conference on Artificial Intelligence and Statistics year: 2018 ident: e_1_2_12_12_1 – ident: e_1_2_12_29_1 doi: 10.1073/pnas.1312486110 – ident: e_1_2_12_17_1 doi: 10.1214/aoap/1019487349 – start-page: 400 volume-title: International Conference on Machine Learning year: 2015 ident: e_1_2_12_20_1 – volume: 29 start-page: 2610 year: 2015 ident: e_1_2_12_21_1 article-title: Spectral clustering using multilinear SVD: Analysis, approximations and applications publication-title: AAAI doi: 10.1609/aaai.v29i1.9556 – start-page: 397 volume-title: Advances in Neural Information Processing Systems year: 2014 ident: e_1_2_12_19_1 – ident: e_1_2_12_13_1 doi: 10.1109/TIT.2019.2928301 – ident: e_1_2_12_15_1 doi: 10.1103/PhysRevE.84.066106 – ident: e_1_2_12_5_1 doi: 10.1002/cpa.21719 – ident: e_1_2_12_32_1 doi: 10.1002/rsa.20443 – ident: e_1_2_12_7_1 doi: 10.1109/ALLERTON.2015.7446987 – ident: e_1_2_12_24_1 doi: 10.1109/TIT.2016.2546280 – start-page: 2831 volume-title: Conference on Learning Theory year: 2019 ident: e_1_2_12_37_1 – ident: e_1_2_12_31_1 doi: 10.1016/j.patcog.2010.07.014 – ident: e_1_2_12_28_1 |
| SSID | ssj0007323 |
| Score | 2.457336 |
| Snippet | We consider the community detection problem in sparse random hypergraphs. Angelini et al. in [6] conjectured the existence of a sharp threshold on model... |
| SourceID | proquest crossref wiley |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 407 |
| SubjectTerms | Algorithms community detection Graph theory Graphs random tensor self‐avoiding walk sparse hypergraph stochastic block model Stochastic models |
| Title | Community detection in the sparse hypergraph stochastic block model |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1002%2Frsa.21006 https://www.proquest.com/docview/2557822947 |
| Volume | 59 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVWIB databaseName: Wiley Online Library - Core collection (SURFmarket) issn: 1042-9832 databaseCode: DR2 dateStart: 19960101 customDbUrl: isFulltext: true eissn: 1098-2418 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007323 providerName: Wiley-Blackwell |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NS8MwFA9jJz34LU6nBPHgpduapGmDpzEcIszDdLCDUJI0YzKp0nYH_et9SdtNRUG8lB5ev15e8n4vfe_3ELoIfRORhClP80hAgAIHoSFKYTOmaWJmJuG2OHl0x28m7HYaTBvoqq6FKfkhVhtudma49dpOcKny7po0NMtlB-IVR7ft08D9oh2vqaNCSsrkekY8AWZbswr1SHd15VdftAaYn2Gq8zPDbfRYv2GZXrLoLAvV0e_fyBv_-Qk7aKvCn7hfGswuaph0D22OVuSt-T4aVEUjxRtOTOFStVL8lGIQwbD-ZLnBc4heM8d1jQE86rm0bM9YgWNcYNdb5wBNhtcPgxuv6rXgacop9zjVgfG50EIa6WsAgZJpxYRjhAdYp0M_IbZ7lQwlYCzJla_DXhRqTWZ8FvToIWqmL6k5Qhh8Hjg9yo2vJEsIEUzZHUuRRJHQKqAtdFlrPdYVEbnth_EclxTKJAa9xE4vLXS-En0t2Td-EmrXQxdXEzCPIVKy2EewEB7nxuD3G8Tj-747Of676AnaIDa7xaX1tVGzyJbmFOBJoc6cHX4A5zLfHQ |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NT8IwFG-IHtSD30YUtTEevAxYV7o18UJQggocEBIuZmm7EgxmGhgH_et97TZQo4nxsuzw9tW-1_d73Xu_h9CF7-qARFQ6igUcAhQ4cAVRCh1R5UV6pCNmipM7XdYa0LthbVhAV3ktTMoPsdhwM5Zh12tj4GZDurJkDZ3ORBkCFsO3vWr-zxmzvO4tyaN8j6Tp9ZQ4HBQ35xWqksri0q_eaAkxPwNV62maW-gxf8c0wWRSnieyrN6_0Tf-9yO20WYGQXE91ZkdVNDxLtroLPhbZ3uokdWNJG840onN1orxU4xBBMMSNJ1pPIYAdmrprjHgRzUWhvAZS_CNE2zb6-yjQfOm32g5WbsFR3nMYw7zVE27jCsutHAV4EBBlaTcksIDslO-GxHTwEr4AmCWYNJVfjXwlSIjNqpVvQO0Er_E-hBhcHvg9zymXSloRAin0mxa8igIuJI1r4gu82EPVcZFblpiPIcpizIJYVxCOy5FdL4QfU0JOH4SKuVzF2Y2OAshWDLwh1MfHmcn4fcbhL2Huj05-rvoGVpr9TvtsH3bvT9G68Qku9gsvxJaSaZzfQJoJZGnVik_AObE4zk |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ1bS8MwFMeDKIg-eBcvU4P44EvnmmZpg0-ijnnZkOlgD0JJ0pTJpErbPein9yRtNxUF8aX04fSWS8__hJPfQejId3VAIiodxQIOAQocuIIohcZUeZGOdcTM5uROl7X79HrQHMyg02ovTMGHmCy4mZlh_9dmgr9G8ckUGppmog7xisFtz1EG0ZVRRL0pO8r3SJFdT4nDYdxWWKEGOZlc-tUZTRXmZ51qHU1rGT1Wr1jkl4zq41zW1fs3euM_v2EFLZUCFJ8VI2YVzehkDS12JvTWbB2dl7tG8jcc6dzmaiX4KcFgguEHlGYaDyF8TS3sGoN6VENhcM9YgmccYVtcZwP1W5cP522nLLbgKI95zGGeamqXccWFFq4CFSiokpRbJDzoOuW7ETHlq4QvQGQJJl3lNwJfKRKzuNnwNtFs8pLoLYTB6YHX85h2paARIZxKs2TJoyDgSja9bXRctXqoShK5KYjxHBYMZRJCu4S2XbbR4cT0tcBv_GRUq7ouLGdgFkKoZMQPpz48zvbB7zcIe_dn9mTn76YHaP7uohXeXnVvdtECMZkuNsWvhmbzdKz3QKrkct8OyQ9VwOHo |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Community+detection+in+the+sparse+hypergraph+stochastic+block+model&rft.jtitle=Random+structures+%26+algorithms&rft.au=Pal%2C+Soumik&rft.au=Zhu%2C+Yizhe&rft.date=2021-10-01&rft.pub=Wiley+Subscription+Services%2C+Inc&rft.issn=1042-9832&rft.eissn=1098-2418&rft.volume=59&rft.issue=3&rft.spage=407&rft.epage=463&rft_id=info:doi/10.1002%2Frsa.21006&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1042-9832&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1042-9832&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1042-9832&client=summon |