{"id":"https://openalex.org/W2509903396","doi":"https://doi.org/10.1109/tkde.2016.2606098","title":"A Semi-NMF-PCA Unified Framework for Data Clustering","display_name":"A Semi-NMF-PCA Unified Framework for Data Clustering","publication_year":2016,"publication_date":"2016-09-05","ids":{"openalex":"https://openalex.org/W2509903396","doi":"https://doi.org/10.1109/tkde.2016.2606098","mag":"2509903396"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2016.2606098","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2016.2606098","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5015920101","display_name":"Kais Allab","orcid":"https://orcid.org/0000-0002-1231-2744"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I110736937","display_name":"D\u00e9l\u00e9gation Paris 5","ror":"https://ror.org/02e0y6e06","country_code":"FR","type":"government","lineage":["https://openalex.org/I110736937","https://openalex.org/I154526488"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Kais Allab","raw_affiliation_strings":["Laboratory of Informatics Paris Descartes, University of Paris Descartes, Paris, Ile de France, France"],"affiliations":[{"raw_affiliation_string":"Laboratory of Informatics Paris Descartes, University of Paris Descartes, Paris, Ile de France, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I110736937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000157816","display_name":"Lazhar Labiod","orcid":"https://orcid.org/0000-0001-8641-8050"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I110736937","display_name":"D\u00e9l\u00e9gation Paris 5","ror":"https://ror.org/02e0y6e06","country_code":"FR","type":"government","lineage":["https://openalex.org/I110736937","https://openalex.org/I154526488"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lazhar Labiod","raw_affiliation_strings":["Laboratory of Informatics Paris Descartes, University of Paris Descartes, Paris, Ile de France, France"],"affiliations":[{"raw_affiliation_string":"Laboratory of Informatics Paris Descartes, University of Paris Descartes, Paris, Ile de France, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I110736937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007054746","display_name":"Mohamed Nadif","orcid":"https://orcid.org/0000-0002-0007-3950"},"institutions":[{"id":"https://openalex.org/I110736937","display_name":"D\u00e9l\u00e9gation Paris 5","ror":"https://ror.org/02e0y6e06","country_code":"FR","type":"government","lineage":["https://openalex.org/I110736937","https://openalex.org/I154526488"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Nadif","raw_affiliation_strings":["UFR Mathematics and Informatics, University of Paris Descartes, Paris, Ile de France, France"],"affiliations":[{"raw_affiliation_string":"UFR Mathematics and Informatics, University of Paris Descartes, Paris, Ile de France, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015920101"],"corresponding_institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241"],"apc_list":null,"apc_paid":null,"fwci":3.7281,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.95675604,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"29","issue":"1","first_page":"2","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9988999962806702,"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":0.9988999962806702,"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/T10320","display_name":"Neural Networks and Applications","score":0.9988999962806702,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.8732045888900757},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7648526430130005},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.6980869174003601},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5736023783683777},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5146854519844055},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5089337825775146},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.49380025267601013},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4723029136657715},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.46755683422088623},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4644814431667328},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.4635699391365051},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.4574354290962219},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.42513900995254517},{"id":"https://openalex.org/keywords/data-stream-clustering","display_name":"Data stream clustering","score":0.423356294631958},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3806006610393524},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.25785648822784424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1828955113887787},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08801347017288208}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8732045888900757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7648526430130005},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.6980869174003601},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5736023783683777},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5146854519844055},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5089337825775146},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.49380025267601013},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4723029136657715},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.46755683422088623},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4644814431667328},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.4635699391365051},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.4574354290962219},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.42513900995254517},{"id":"https://openalex.org/C193143536","wikidata":"https://www.wikidata.org/wiki/Q5227360","display_name":"Data stream clustering","level":5,"score":0.423356294631958},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3806006610393524},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.25785648822784424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1828955113887787},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08801347017288208},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tkde.2016.2606098","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2016.2606098","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01361278v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01361278","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering, 2017, 29 (1), pp.2-16. &#x27E8;10.1109/TKDE.2016.2606098&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308350","display_name":"American Academy of Pediatrics","ror":"https://ror.org/0512xad50"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W23524565","https://openalex.org/W49942714","https://openalex.org/W109865423","https://openalex.org/W601394182","https://openalex.org/W1246381107","https://openalex.org/W1481933820","https://openalex.org/W1504401263","https://openalex.org/W1554067589","https://openalex.org/W2028080169","https://openalex.org/W2035187734","https://openalex.org/W2053566983","https://openalex.org/W2057069782","https://openalex.org/W2058240487","https://openalex.org/W2077776048","https://openalex.org/W2096765209","https://openalex.org/W2099242680","https://openalex.org/W2100493539","https://openalex.org/W2101234009","https://openalex.org/W2104298926","https://openalex.org/W2106253207","https://openalex.org/W2113359929","https://openalex.org/W2117824861","https://openalex.org/W2119227770","https://openalex.org/W2124890708","https://openalex.org/W2133576408","https://openalex.org/W2134731454","https://openalex.org/W2135001774","https://openalex.org/W2135029798","https://openalex.org/W2147152072","https://openalex.org/W2151417892","https://openalex.org/W2155754954","https://openalex.org/W2156718197","https://openalex.org/W2168103112","https://openalex.org/W2482276862","https://openalex.org/W2571268788","https://openalex.org/W2792874300","https://openalex.org/W3099514962","https://openalex.org/W3143596294","https://openalex.org/W4235169531","https://openalex.org/W4241492945","https://openalex.org/W4250857377","https://openalex.org/W4254223024","https://openalex.org/W4285719527","https://openalex.org/W6600954893","https://openalex.org/W6601987920","https://openalex.org/W6628982701","https://openalex.org/W6633177868","https://openalex.org/W6674201379","https://openalex.org/W6675354045","https://openalex.org/W6677416955","https://openalex.org/W6680012447","https://openalex.org/W6682755970","https://openalex.org/W6721880745","https://openalex.org/W6835908357"],"related_works":["https://openalex.org/W4301002638","https://openalex.org/W2163563073","https://openalex.org/W3186815950","https://openalex.org/W2371010743","https://openalex.org/W2606552659","https://openalex.org/W1987613674","https://openalex.org/W2181519036","https://openalex.org/W4253632195","https://openalex.org/W3088133960","https://openalex.org/W2202413591"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"propose":[4],"a":[5,37],"novel":[6],"way":[7],"to":[8,61,94],"consider":[9],"the":[10,13,16,25,64,71,90],"clustering":[11,32,74,88],"and":[12,31,47],"reduction":[14,30,68],"of":[15,24,36,42,87],"dimension":[17,67],"simultaneously.":[18],"Indeed,":[19],"our":[20,57,80],"approach":[21],"takes":[22],"advantage":[23],"mutual":[26],"reinforcement":[27],"between":[28],"data":[29,98],"tasks.":[33],"The":[34],"use":[35],"low-dimensional":[38],"representation":[39],"can":[40],"be":[41],"help":[43],"in":[44,85],"providing":[45],"simpler":[46],"more":[48],"interpretable":[49],"solutions.":[50],"We":[51],"show":[52,78],"that":[53,79],"by":[54,70],"doing":[55],"so,":[56],"model":[58],"is":[59],"able":[60],"better":[62,83],"approximate":[63],"relaxed":[65],"continuous":[66],"solution":[69],"true":[72],"discrete":[73],"solution.":[75],"Experiment":[76],"results":[77,84],"method":[81],"gives":[82],"terms":[86],"than":[89],"state-of-the-art":[91],"algorithms":[92],"devoted":[93],"similar":[95],"tasks":[96],"for":[97],"sets":[99],"with":[100],"different":[101],"proprieties.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
