{"id":"https://openalex.org/W2996987977","doi":"https://doi.org/10.1109/tnnls.2019.2955209","title":"Robust Structured Graph Clustering","display_name":"Robust Structured Graph Clustering","publication_year":2019,"publication_date":"2019-12-31","ids":{"openalex":"https://openalex.org/W2996987977","doi":"https://doi.org/10.1109/tnnls.2019.2955209","mag":"2996987977","pmid":"https://pubmed.ncbi.nlm.nih.gov/31899438"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2019.2955209","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2019.2955209","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5038599874","display_name":"Dan Shi","orcid":"https://orcid.org/0000-0003-2773-9924"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Shi","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108048954","display_name":"Lei Zhu","orcid":"https://orcid.org/0000-0002-2993-7142"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Zhu","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-2993-7142","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114006345","display_name":"Yikun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yikun Li","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-6505-4734","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100338386","display_name":"Jingjing Li","orcid":"https://orcid.org/0000-0002-5504-2529"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingjing Li","raw_affiliation_strings":["School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-5504-2529","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019824207","display_name":"Xiushan Nie","orcid":"https://orcid.org/0000-0001-9644-9723"},"institutions":[{"id":"https://openalex.org/I44445938","display_name":"Shandong Jianzhu University","ror":"https://ror.org/01gbfax37","country_code":"CN","type":"education","lineage":["https://openalex.org/I44445938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiushan Nie","raw_affiliation_strings":["School of Computer Science and Technology, Shandong Jianzhu University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0001-9644-9723","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Shandong Jianzhu University, Jinan, China","institution_ids":["https://openalex.org/I44445938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9456,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.95976447,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"31","issue":"11","first_page":"4424","last_page":"4436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9990000128746033,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9983000159263611,"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/T10057","display_name":"Face and Expression Recognition","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/cluster-analysis","display_name":"Cluster analysis","score":0.7253527045249939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5187328457832336},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5054547786712646},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.46982741355895996},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.44545862078666687},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.4426741600036621},{"id":"https://openalex.org/keywords/constrained-clustering","display_name":"Constrained clustering","score":0.43838223814964294},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3830585479736328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36988013982772827},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3630892038345337},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.350830078125},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.2565299868583679}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7253527045249939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5187328457832336},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5054547786712646},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.46982741355895996},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.44545862078666687},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.4426741600036621},{"id":"https://openalex.org/C27964816","wikidata":"https://www.wikidata.org/wiki/Q5164359","display_name":"Constrained clustering","level":5,"score":0.43838223814964294},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3830585479736328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36988013982772827},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3630892038345337},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.350830078125},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.2565299868583679}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2019.2955209","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2019.2955209","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:31899438","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31899438","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1763743730","display_name":null,"funder_award_id":"U1836216","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2806670210","display_name":null,"funder_award_id":"61802236","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3325856545","display_name":null,"funder_award_id":"ZR2019QF002","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320326189","display_name":"Taishan Scholar Project of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W35636098","https://openalex.org/W64824645","https://openalex.org/W1501531539","https://openalex.org/W1902027874","https://openalex.org/W1904464160","https://openalex.org/W1943383135","https://openalex.org/W1975172027","https://openalex.org/W1979089718","https://openalex.org/W1998871699","https://openalex.org/W2006533296","https://openalex.org/W2108119513","https://openalex.org/W2115547324","https://openalex.org/W2121947440","https://openalex.org/W2125531986","https://openalex.org/W2127218421","https://openalex.org/W2131828344","https://openalex.org/W2132603077","https://openalex.org/W2132820034","https://openalex.org/W2134737843","https://openalex.org/W2135674549","https://openalex.org/W2138019504","https://openalex.org/W2155754954","https://openalex.org/W2170798597","https://openalex.org/W2171571997","https://openalex.org/W2171837816","https://openalex.org/W2260771218","https://openalex.org/W2344457357","https://openalex.org/W2577472518","https://openalex.org/W2581572661","https://openalex.org/W2740420891","https://openalex.org/W2741236095","https://openalex.org/W2742050142","https://openalex.org/W2752197020","https://openalex.org/W2772904413","https://openalex.org/W2790640759","https://openalex.org/W2791716598","https://openalex.org/W2793456900","https://openalex.org/W2801477643","https://openalex.org/W2801572136","https://openalex.org/W2808608688","https://openalex.org/W2888654602","https://openalex.org/W2892946488","https://openalex.org/W2894300437","https://openalex.org/W2905056852","https://openalex.org/W2963634791","https://openalex.org/W3097993951","https://openalex.org/W3120740533","https://openalex.org/W4240740736","https://openalex.org/W4250589301","https://openalex.org/W6602624987","https://openalex.org/W6678914141","https://openalex.org/W6679854563","https://openalex.org/W6685124330","https://openalex.org/W6692628530","https://openalex.org/W6731795620"],"related_works":["https://openalex.org/W2951567704","https://openalex.org/W2535986621","https://openalex.org/W2040929534","https://openalex.org/W2773356553","https://openalex.org/W4388110928","https://openalex.org/W2607137685","https://openalex.org/W2311450085","https://openalex.org/W2609148028","https://openalex.org/W2106080381","https://openalex.org/W2293953271"],"abstract_inverted_index":{"Graph-based":[0],"clustering":[1,62,75,96,103,118,255,276],"methods":[2,63],"have":[3],"achieved":[4],"remarkable":[5],"performance":[6],"by":[7,240],"partitioning":[8,241],"the":[9,16,21,35,41,70,83,139,157,169,174,178,181,188,194,219,228,232,242,266,269,274],"data":[10,49,263],"samples":[11],"into":[12,76,204],"disjoint":[13],"groups":[14],"with":[15,142,273],"similarity":[17,36,71,133,244],"graph":[18,37,72,85,117,134,141,175,245],"that":[19,68,155,177,208],"characterizes":[20],"sample":[22],"relations.":[23],"Nevertheless,":[24],"their":[25],"learning":[26,66,125],"scheme":[27],"still":[28],"suffers":[29],"from":[30,40,93],"two":[31,77],"important":[32],"problems:":[33],"1)":[34],"directly":[38,238],"constructed":[39],"raw":[42],"features":[43],"may":[44,91],"be":[45,210,237],"unreliable":[46],"as":[47,252],"real-world":[48],"always":[50],"involves":[51],"adverse":[52],"noises,":[53],"outliers,":[54],"and":[55,58,74,88,98,135,159,261],"irrelevant":[56],"information":[57],"2)":[59],"most":[60,253],"graph-based":[61,254],"adopt":[64],"two-step":[65],"strategy":[67,251],"separates":[69],"construction":[73],"independent":[78],"processes.":[79],"Under":[80],"such":[81,176],"circumstance,":[82],"generated":[84],"is":[86,147,166,184,223],"unstructured":[87],"fixed.":[89],"It":[90],"suffer":[92],"a":[94,114,123,130,151],"low-quality":[95],"structure":[97],"thus":[99],"lead":[100],"to":[101,127,172,187,200,226],"suboptimal":[102],"performance.":[104],"To":[105,192],"alleviate":[106],"these":[107],"limitations,":[108],"in":[109],"this":[110],"article":[111],"we":[112,198],"propose":[113,199],"robust":[115,131,152],"structured":[116,132,140],"(RSGC)":[119],"model.":[120,229],"We":[121],"formulate":[122],"novel":[124],"framework":[126],"simultaneously":[128],"learn":[129],"perform":[136],"clustering.":[137],"Specifically,":[138],"proper":[143],"probabilistic":[144],"neighborhood":[145],"assignment":[146],"adaptively":[148],"learned":[149,243],"on":[150,168,218,248,258],"latent":[153],"representation":[154],"resists":[156],"noises":[158],"outliers.":[160],"Furthermore,":[161],"an":[162,205],"explicit":[163],"rank":[164],"constraint":[165],"imposed":[167],"Laplacian":[170],"matrix":[171],"structurize":[173],"number":[179],"of":[180,268],"connected":[182],"components":[183],"exactly":[185],"equal":[186],"ground-truth":[189],"cluster":[190,234],"number.":[191],"solve":[193,227],"challenging":[195],"objective":[196],"formulation,":[197],"first":[201],"transform":[202],"it":[203],"equivalent":[206],"one":[207],"can":[209,236],"tackled":[211],"more":[212],"easily.":[213],"An":[214],"iterative":[215],"solution":[216],"based":[217],"augmented":[220],"Lagrangian":[221],"multiplier":[222],"then":[224],"derived":[225],"In":[230],"RSGC,":[231],"discrete":[233],"labels":[235],"obtained":[239],"without":[246],"reliance":[247],"label":[249],"discretization":[250],"methods.":[256],"Experiments":[257],"both":[259],"synthetic":[260],"real":[262],"sets":[264],"demonstrate":[265],"superiority":[267],"proposed":[270],"method":[271],"compared":[272],"state-of-the-art":[275],"techniques.":[277]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":21},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":8}],"updated_date":"2026-07-18T07:39:51.176621","created_date":"2025-10-10T00:00:00"}