{"id":"https://openalex.org/W4401357869","doi":"https://doi.org/10.1109/tnnls.2024.3420738","title":"Robust Nonnegative Matrix Factorization With Self-Initiated Multigraph Contrastive Fusion","display_name":"Robust Nonnegative Matrix Factorization With Self-Initiated Multigraph Contrastive Fusion","publication_year":2024,"publication_date":"2024-08-06","ids":{"openalex":"https://openalex.org/W4401357869","doi":"https://doi.org/10.1109/tnnls.2024.3420738","pmid":"https://pubmed.ncbi.nlm.nih.gov/39106142"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3420738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3420738","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/A5100713505","display_name":"Songtao Li","orcid":"https://orcid.org/0000-0002-0903-8801"},"institutions":[{"id":"https://openalex.org/I31590910","display_name":"Jianghan University","ror":"https://ror.org/041c9x778","country_code":"CN","type":"education","lineage":["https://openalex.org/I31590910"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Songtao Li","raw_affiliation_strings":["State Key Laboratory of Precision Blasting, School of Artificial Intelligence, Jianghan University, Wuhan, China","School of Artificial Intelligence, State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-0903-8801","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Blasting, School of Artificial Intelligence, Jianghan University, Wuhan, China","institution_ids":["https://openalex.org/I31590910"]},{"raw_affiliation_string":"School of Artificial Intelligence, State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, China","institution_ids":["https://openalex.org/I31590910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068171246","display_name":"Shiqian Wu","orcid":"https://orcid.org/0000-0002-6383-7663"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqian Wu","raw_affiliation_strings":["Institute of Robotics and Intelligent Systems, School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan, China","School of Information Science and Engineering, Institute of Robotics and Intelligent Systems, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-6383-7663","affiliations":[{"raw_affiliation_string":"Institute of Robotics and Intelligent Systems, School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]},{"raw_affiliation_string":"School of Information Science and Engineering, Institute of Robotics and Intelligent Systems, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033240507","display_name":"Chang Tang","orcid":"https://orcid.org/0000-0002-6515-7696"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chang Tang","raw_affiliation_strings":["School of Computer Science, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-6515-7696","affiliations":[{"raw_affiliation_string":"School of Computer Science, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029363494","display_name":"Junchi Zhang","orcid":"https://orcid.org/0000-0001-7701-568X"},"institutions":[{"id":"https://openalex.org/I31590910","display_name":"Jianghan University","ror":"https://ror.org/041c9x778","country_code":"CN","type":"education","lineage":["https://openalex.org/I31590910"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junchi Zhang","raw_affiliation_strings":["State Key Laboratory of Precision Blasting, School of Artificial Intelligence, Jianghan University, Wuhan, China","School of Artificial Intelligence, State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-7701-568X","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Blasting, School of Artificial Intelligence, Jianghan University, Wuhan, China","institution_ids":["https://openalex.org/I31590910"]},{"raw_affiliation_string":"School of Artificial Intelligence, State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, China","institution_ids":["https://openalex.org/I31590910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011418329","display_name":"Zushuai Wei","orcid":"https://orcid.org/0009-0004-7925-0842"},"institutions":[{"id":"https://openalex.org/I31590910","display_name":"Jianghan University","ror":"https://ror.org/041c9x778","country_code":"CN","type":"education","lineage":["https://openalex.org/I31590910"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zushuai Wei","raw_affiliation_strings":["State Key Laboratory of Precision Blasting, School of Artificial Intelligence, Jianghan University, Wuhan, China","School of Artificial Intelligence, State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0009-0004-7925-0842","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Blasting, School of Artificial Intelligence, Jianghan University, Wuhan, China","institution_ids":["https://openalex.org/I31590910"]},{"raw_affiliation_string":"School of Artificial Intelligence, State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, China","institution_ids":["https://openalex.org/I31590910"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100713505"],"corresponding_institution_ids":["https://openalex.org/I31590910"],"apc_list":null,"apc_paid":null,"fwci":2.2533,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89300085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"36","issue":"5","first_page":"8787","last_page":"8801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.7771000266075134,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.7771000266075134,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.7002999782562256,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.6543999910354614,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multigraph","display_name":"Multigraph","score":0.8026415109634399},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.6782318353652954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4616177976131439},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4576690196990967},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.44759657979011536},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.42385435104370117},{"id":"https://openalex.org/keywords/fusion","display_name":"Fusion","score":0.42078763246536255},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42012256383895874},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4130100607872009},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31136268377304077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29096710681915283},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.2266114354133606},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12099039554595947},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.11682575941085815},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09926539659500122},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06662189960479736}],"concepts":[{"id":"https://openalex.org/C17758045","wikidata":"https://www.wikidata.org/wiki/Q2642629","display_name":"Multigraph","level":3,"score":0.8026415109634399},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.6782318353652954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4616177976131439},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4576690196990967},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.44759657979011536},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.42385435104370117},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.42078763246536255},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42012256383895874},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4130100607872009},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31136268377304077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29096710681915283},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.2266114354133606},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12099039554595947},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11682575941085815},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09926539659500122},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06662189960479736},{"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3420738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3420738","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:39106142","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39106142","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/G14048243","display_name":null,"funder_award_id":"42301441","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2385023842","display_name":null,"funder_award_id":"2023JCYJ13","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5292178699","display_name":null,"funder_award_id":"62106179","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1902027874","https://openalex.org/W1979089718","https://openalex.org/W2104819583","https://openalex.org/W2108119513","https://openalex.org/W2141566872","https://openalex.org/W2607323999","https://openalex.org/W2948581185","https://openalex.org/W3000409346","https://openalex.org/W3011226933","https://openalex.org/W3081203761","https://openalex.org/W3084047821","https://openalex.org/W3095709006","https://openalex.org/W3127542860","https://openalex.org/W3128588266","https://openalex.org/W3153493739","https://openalex.org/W3157186187","https://openalex.org/W3178885970","https://openalex.org/W3185290480","https://openalex.org/W3213929680","https://openalex.org/W3217610444","https://openalex.org/W3217690000","https://openalex.org/W4200268969","https://openalex.org/W4213123208","https://openalex.org/W4225693658","https://openalex.org/W4226380823","https://openalex.org/W4282942470","https://openalex.org/W4285601143","https://openalex.org/W4294691712","https://openalex.org/W4298149820","https://openalex.org/W4300633389","https://openalex.org/W4306928527","https://openalex.org/W4307234401","https://openalex.org/W4312856860","https://openalex.org/W4321372616","https://openalex.org/W4322201905","https://openalex.org/W4327718153","https://openalex.org/W4367835841","https://openalex.org/W4380520364","https://openalex.org/W4382203265","https://openalex.org/W4385287043","https://openalex.org/W4385880077","https://openalex.org/W4386003349","https://openalex.org/W4389987942","https://openalex.org/W4390242540","https://openalex.org/W6675894326"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W34555840"],"abstract_inverted_index":{"Graph":[0],"regularized":[1],"nonnegative":[2,98],"matrix":[3,83,99],"factorization":[4,84,100],"(GNMF)":[5],"has":[6],"been":[7],"widely":[8],"used":[9],"in":[10,40,45,77,81,128,181,193],"data":[11],"representation":[12],"due":[13],"to":[14,22,32,38,166],"its":[15],"excellent":[16],"dimensionality":[17],"reduction.":[18],"When":[19],"it":[20],"comes":[21],"clustering":[23],"polluted":[24],"data,":[25],"GNMF":[26],"inevitably":[27],"learns":[28],"inaccurate":[29],"representations,":[30],"leading":[31],"models":[33],"that":[34,63,74],"are":[35,151],"unusually":[36],"sensitive":[37],"outliers":[39],"the":[41,64,70,82,134,138,168,172,176,182,187,190,207,210],"data.":[42,136],"For":[43],"example,":[44],"a":[46,54,60,89,129,154],"face":[47],"dataset,":[48],"obscured":[49],"by":[50,144],"items":[51],"such":[52],"as":[53],"mask":[55],"or":[56],"glasses,":[57],"there":[58],"is":[59,107,110,216],"high":[61],"probability":[62],"graph":[65,121,145,149,157],"regularization":[66],"term":[67],"incorrectly":[68],"describes":[69],"association":[71],"relationship":[72],"for":[73],"sample,":[75],"resulting":[76],"an":[78],"incorrect":[79],"elicitation":[80],"process.":[85],"In":[86,137],"this":[87],"article,":[88],"novel":[90],"self-initiated":[91,102,130],"unsupervised":[92],"subspace":[93,141],"learning":[94,119,142,170],"method":[95,131],"named":[96],"robust":[97,169,194],"with":[101,115,160],"multigraph":[103],"contrastive":[104],"fusion":[105],"(RNMF-SMGF)":[106],"proposed.":[108],"RNMF-SMGF":[109],"capable":[111],"of":[112,140,171,178,189,209],"creating":[113],"samples":[114],"different":[116,120,126,148,179],"angles":[117,127],"and":[118,175,205],"structures":[122,150],"based":[123],"on":[124,201],"these":[125,147],"without":[132],"changing":[133],"original":[135],"process":[139],"guided":[143],"regularization,":[146,162],"fused":[152],"into":[153],"more":[155],"accurate":[156],"structure,":[158],"along":[159],"entropy":[161],"$L_{2,1/2}$":[163],"-norm":[164],"constraints":[165],"facilitate":[167],"proposed":[173,191,211],"model":[174,192],"formation":[177],"clusters":[180],"low-dimensional":[183],"space.":[184],"To":[185],"demonstrate":[186],"effectiveness":[188,208],"clustering,":[195],"we":[196],"have":[197],"conducted":[198],"extensive":[199],"experiments":[200],"several":[202],"benchmark":[203],"datasets":[204],"demonstrated":[206],"method.":[212],"The":[213],"source":[214],"code":[215],"available":[217],"at:":[218],"https://github.com/LstinWh/RNMF-SMGF/.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}