{"id":"https://openalex.org/W4410536577","doi":"https://doi.org/10.1109/tcyb.2025.3553033","title":"Robust Multiple Flat Projections Clustering With Truncated Distance Maximization Constraints","display_name":"Robust Multiple Flat Projections Clustering With Truncated Distance Maximization Constraints","publication_year":2025,"publication_date":"2025-05-20","ids":{"openalex":"https://openalex.org/W4410536577","doi":"https://doi.org/10.1109/tcyb.2025.3553033","pmid":"https://pubmed.ncbi.nlm.nih.gov/40392645"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3553033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3553033","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5110224140","display_name":"Jie Yang","orcid":"https://orcid.org/0009-0000-3995-6761"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jie Yang","raw_affiliation_strings":["College of Information Science and Technology and Artificial Intelligence and the College of Computer Science and Engineering, Nanjing Forestry University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology and Artificial Intelligence and the College of Computer Science and Engineering, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100423029","display_name":"Zhao Zhang","orcid":"https://orcid.org/0000-0002-5703-7969"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao Zhang","raw_affiliation_strings":["Key Laboratory of Knowledge Engineering With Big Data, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Knowledge Engineering With Big Data, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333930","display_name":"Xiaobo Chen","orcid":"https://orcid.org/0000-0001-9940-1637"},"institutions":[{"id":"https://openalex.org/I83776822","display_name":"Shandong Institute of Business and Technology","ror":"https://ror.org/03rrkrc24","country_code":"CN","type":"education","lineage":["https://openalex.org/I83776822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaobo Chen","raw_affiliation_strings":["School of Computer Science and Technology, Shandong Technology and Business University, Yantai, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Shandong Technology and Business University, Yantai, Shandong, China","institution_ids":["https://openalex.org/I83776822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101226405","display_name":"Zhongqi Xu","orcid":"https://orcid.org/0009-0001-4169-5174"},"institutions":[{"id":"https://openalex.org/I108160477","display_name":"Hebei Agricultural University","ror":"https://ror.org/009fw8j44","country_code":"CN","type":"education","lineage":["https://openalex.org/I108160477"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongqi Xu","raw_affiliation_strings":["College of Forestry, Hebei Agricultural University, Baoding, China"],"affiliations":[{"raw_affiliation_string":"College of Forestry, Hebei Agricultural University, Baoding, China","institution_ids":["https://openalex.org/I108160477"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087729203","display_name":"Liyong Fu","orcid":"https://orcid.org/0000-0002-5794-9458"},"institutions":[{"id":"https://openalex.org/I4210114891","display_name":"Institute of Forest Resource Information Techniques","ror":"https://ror.org/01h5d6x15","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210114891","https://openalex.org/I4210128615","https://openalex.org/I4210134523"]},{"id":"https://openalex.org/I4210128615","display_name":"Chinese Academy of Forestry","ror":"https://ror.org/0360dkv71","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210128615","https://openalex.org/I4210134523"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liyong Fu","raw_affiliation_strings":["Chinese Academy of Forestry, Institute of Forest Resource Information Techniques, Beijing, China","Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Chinese Academy of Forestry, Institute of Forest Resource Information Techniques, Beijing, China","institution_ids":["https://openalex.org/I4210114891","https://openalex.org/I4210128615"]},{"raw_affiliation_string":"Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing, China","institution_ids":["https://openalex.org/I4210114891","https://openalex.org/I4210128615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039671101","display_name":"Qiaolin Ye","orcid":"https://orcid.org/0000-0002-8793-8610"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiaolin Ye","raw_affiliation_strings":["College of Information Science and Technology and Artificial Intelligence, State Key Laboratory of Tree Genetics and Breeding, Co-Innovation Center for Sustainable Forestry in Southern China, Nanjing Forestry University, Nanjing, China","State Key Laboratory of Tree Genetics and Breeding, Co-Innovation Center for Sustainable Forestry in Southern China, College of Information Science and Technology and Artificial Intelligence, Nanjing Forestry University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology and Artificial Intelligence, State Key Laboratory of Tree Genetics and Breeding, Co-Innovation Center for Sustainable Forestry in Southern China, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]},{"raw_affiliation_string":"State Key Laboratory of Tree Genetics and Breeding, Co-Innovation Center for Sustainable Forestry in Southern China, College of Information Science and Technology and Artificial Intelligence, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5110224140"],"corresponding_institution_ids":["https://openalex.org/I167027274"],"apc_list":null,"apc_paid":null,"fwci":2.4362,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8882908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"55","issue":"7","first_page":"3144","last_page":"3157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9958000183105469,"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":0.9958000183105469,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9853000044822693,"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/T13731","display_name":"Advanced Computing and Algorithms","score":0.9150000214576721,"subfield":{"id":"https://openalex.org/subfields/3322","display_name":"Urban Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6667547225952148},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5198567509651184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4923518896102905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42015716433525085},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3919472098350525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3876396417617798},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3042582869529724}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6667547225952148},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5198567509651184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4923518896102905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42015716433525085},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3919472098350525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3876396417617798},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3042582869529724}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3553033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3553033","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:40392645","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40392645","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G2683820643","display_name":null,"funder_award_id":"32371877","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4876606807","display_name":null,"funder_award_id":"2022YFD2201005","funder_id":"https://openalex.org/F4320327808","funder_display_name":"Yunnan Key Research and Development Program"},{"id":"https://openalex.org/G503493328","display_name":null,"funder_award_id":"2022YFD2201005","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327808","display_name":"Yunnan Key Research and Development Program","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1533128638","https://openalex.org/W1606778734","https://openalex.org/W1990119779","https://openalex.org/W1992419399","https://openalex.org/W1992633833","https://openalex.org/W2009234819","https://openalex.org/W2053090063","https://openalex.org/W2080511794","https://openalex.org/W2083583987","https://openalex.org/W2088077011","https://openalex.org/W2098004870","https://openalex.org/W2129546202","https://openalex.org/W2135346934","https://openalex.org/W2153233077","https://openalex.org/W2341330354","https://openalex.org/W2604578492","https://openalex.org/W2761818166","https://openalex.org/W2889135648","https://openalex.org/W2903121843","https://openalex.org/W2904257193","https://openalex.org/W2904965361","https://openalex.org/W2909506380","https://openalex.org/W2914436796","https://openalex.org/W2918619047","https://openalex.org/W2959498949","https://openalex.org/W2982195937","https://openalex.org/W2989184171","https://openalex.org/W2997973367","https://openalex.org/W3005808018","https://openalex.org/W3011356881","https://openalex.org/W3042615550","https://openalex.org/W3090692296","https://openalex.org/W3091687261","https://openalex.org/W3092314298","https://openalex.org/W3103750833","https://openalex.org/W3109134151","https://openalex.org/W3111490633","https://openalex.org/W3152682768","https://openalex.org/W3174808908","https://openalex.org/W3175244446","https://openalex.org/W3176694003","https://openalex.org/W3198242335","https://openalex.org/W3199715002","https://openalex.org/W3203815061","https://openalex.org/W3207496032","https://openalex.org/W4206270770","https://openalex.org/W4214813157","https://openalex.org/W4220734605","https://openalex.org/W4283274965","https://openalex.org/W4285237096","https://openalex.org/W4295846711","https://openalex.org/W4312130450","https://openalex.org/W4377000374","https://openalex.org/W4380894096","https://openalex.org/W4382203265","https://openalex.org/W4382468869","https://openalex.org/W4383503942","https://openalex.org/W4387951797","https://openalex.org/W4391620782","https://openalex.org/W4399168453","https://openalex.org/W4406729643","https://openalex.org/W6685042627","https://openalex.org/W6852293909"],"related_works":["https://openalex.org/W4298130764","https://openalex.org/W2804364458","https://openalex.org/W2132641928","https://openalex.org/W4310225030","https://openalex.org/W2090259340","https://openalex.org/W1926736923","https://openalex.org/W2158836806","https://openalex.org/W2033914206","https://openalex.org/W2042327336","https://openalex.org/W2037938733"],"abstract_inverted_index":{"Recently,":[0],"interest":[1],"in":[2,22,126],"flat-type":[3],"projection":[4,17],"clustering":[5,85],"methods":[6,46],"has":[7],"grown":[8],"as":[9],"they":[10],"improve":[11],"learner's":[12],"performance":[13],"by":[14],"exploring":[15],"multiple":[16,82],"subspaces.":[18],"However,":[19],"solvers":[20],"used":[21],"previous":[23],"representative":[24],"works":[25],"predominantly":[26],"rely":[27],"on":[28,118,146,190],"greedy":[29],"search":[30],"strategies,":[31],"which":[32,130],"incur":[33],"high":[34],"computational":[35],"costs":[36],"and":[37,56,70,91,181,193],"fail":[38],"to":[39,97,111,139,169],"consider":[40],"interdependencies":[41],"between":[42],"projections.":[43],"Moreover,":[44],"these":[45,68],"do":[47],"not":[48,132],"simultaneously":[49],"guarantee":[50],"the":[51,95,113,166,172,184,197,200],"effective":[52,74],"suppression":[53],"of":[54,115,174,183,199],"outliers":[55],"noisy":[57,116],"data":[58,64,117],"at":[59],"cluster":[60,119,159,176],"boundaries,":[61],"ultimately":[62],"compromising":[63],"discrimination.":[65],"To":[66],"address":[67],"limitations":[69],"discover":[71],"a":[72,105,127,136,141,158],"more":[73],"subspace":[75],"for":[76],"each":[77,175],"flat,":[78],"we":[79,103,149],"propose":[80,104],"robust":[81],"flat":[83],"projections":[84],"(RMFPC).":[86],"This":[87],"method":[88],"computes":[89],"within-":[90],"between-cluster":[92],"distances":[93],"using":[94],"L2,1-norm":[96],"enhance":[98],"robustness":[99],"against":[100],"outliers.":[101],"Furthermore,":[102],"truncated":[106],"distance":[107],"maximization":[108],"constraint":[109],"(TDMC)":[110],"eliminate":[112],"influence":[114],"separability.":[120],"The":[121,178],"resulting":[122],"objective":[123],"is":[124,131,163],"presented":[125],"ratio":[128],"form,":[129],"trivial.":[133],"We":[134],"provide":[135],"novel":[137],"formulation":[138],"achieve":[140],"theoretically":[142],"equivalent":[143],"problem.":[144],"Based":[145],"this":[147],"reformulation,":[148],"develop":[150],"an":[151],"efficient":[152],"non-greedy":[153],"solution":[154,167],"algorithm.":[155],"In":[156],"addition,":[157],"center":[160],"optimization":[161],"mechanism":[162],"incorporated":[164],"into":[165],"process":[168],"accurately":[170],"estimate":[171],"distribution":[173],"center.":[177],"convergence":[179],"analysis":[180],"proof":[182],"proposed":[185,201],"algorithm":[186],"are":[187],"provided.":[188],"Experiments":[189],"both":[191],"toy":[192],"real-world":[194],"datasets":[195],"demonstrate":[196],"effectiveness":[198],"method.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}