{"id":"https://openalex.org/W2014269275","doi":"https://doi.org/10.1109/ijcnn.2013.6706849","title":"A topographical nonnegative matrix factorization algorithm","display_name":"A topographical nonnegative matrix factorization algorithm","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2014269275","doi":"https://doi.org/10.1109/ijcnn.2013.6706849","mag":"2014269275"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2013.6706849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2013.6706849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2013 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5046439373","display_name":"Nicoleta Rogovschi","orcid":null},"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"]},{"id":"https://openalex.org/I4403386760","display_name":"Laboratoire Informatique Paris Descartes","ror":"https://ror.org/04s80ef73","country_code":"FR","type":"facility","lineage":["https://openalex.org/I204730241","https://openalex.org/I4403386760"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicoleta Rogovschi","raw_affiliation_strings":["LIPADE, Paris Descartes University, Paris, France","LIPADE - Paris Descartes University, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIPADE, Paris Descartes University, Paris, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241","https://openalex.org/I4403386760"]},{"raw_affiliation_string":"LIPADE - Paris Descartes University, Paris, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241","https://openalex.org/I4403386760"]}]},{"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/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"]},{"id":"https://openalex.org/I4403386760","display_name":"Laboratoire Informatique Paris Descartes","ror":"https://ror.org/04s80ef73","country_code":"FR","type":"facility","lineage":["https://openalex.org/I204730241","https://openalex.org/I4403386760"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lazhar Labiod","raw_affiliation_strings":["LIPADE, Paris Descartes University, Paris, France","LIPADE - Paris Descartes University, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIPADE, Paris Descartes University, Paris, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241","https://openalex.org/I4403386760"]},{"raw_affiliation_string":"LIPADE - Paris Descartes University, Paris, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241","https://openalex.org/I4403386760"]}]},{"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"]},{"id":"https://openalex.org/I4403386760","display_name":"Laboratoire Informatique Paris Descartes","ror":"https://ror.org/04s80ef73","country_code":"FR","type":"facility","lineage":["https://openalex.org/I204730241","https://openalex.org/I4403386760"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Nadif","raw_affiliation_strings":["LIPADE, Paris Descartes University, Paris, France","LIPADE - Paris Descartes University, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIPADE, Paris Descartes University, Paris, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241","https://openalex.org/I4403386760"]},{"raw_affiliation_string":"LIPADE - Paris Descartes University, Paris, France","institution_ids":["https://openalex.org/I110736937","https://openalex.org/I204730241","https://openalex.org/I4403386760"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.988099992275238,"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":0.988099992275238,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9847000241279602,"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/T10057","display_name":"Face and Expression Recognition","score":0.9843999743461609,"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/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.7769330143928528},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7607877850532532},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5891762971878052},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.4701507091522217},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43656668066978455},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.43538451194763184},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36018067598342896},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32784146070480347},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.32338348031044006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3117218613624573},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27354785799980164},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12093409895896912}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.7769330143928528},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7607877850532532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5891762971878052},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4701507091522217},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43656668066978455},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.43538451194763184},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36018067598342896},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32784146070480347},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.32338348031044006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3117218613624573},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27354785799980164},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12093409895896912},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2013.6706849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2013.6706849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2013 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.75}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W23524565","https://openalex.org/W103013408","https://openalex.org/W601394182","https://openalex.org/W1246381107","https://openalex.org/W1504401263","https://openalex.org/W1679913846","https://openalex.org/W1790954942","https://openalex.org/W1902027874","https://openalex.org/W1971784203","https://openalex.org/W2013029404","https://openalex.org/W2028080169","https://openalex.org/W2035187734","https://openalex.org/W2053566983","https://openalex.org/W2063036182","https://openalex.org/W2096080855","https://openalex.org/W2096765209","https://openalex.org/W2100493539","https://openalex.org/W2104298926","https://openalex.org/W2113359929","https://openalex.org/W2117824861","https://openalex.org/W2118774738","https://openalex.org/W2119227770","https://openalex.org/W2124890708","https://openalex.org/W2132039819","https://openalex.org/W2133576408","https://openalex.org/W2134731454","https://openalex.org/W2135029798","https://openalex.org/W2147152072","https://openalex.org/W2168103112","https://openalex.org/W2319660501","https://openalex.org/W2404400936","https://openalex.org/W2482276862","https://openalex.org/W2571268788","https://openalex.org/W3143596294","https://openalex.org/W4245176872","https://openalex.org/W6600954893","https://openalex.org/W6604212994","https://openalex.org/W6674201379","https://openalex.org/W6676113301","https://openalex.org/W6677416955","https://openalex.org/W6680012447","https://openalex.org/W6721880745"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W2037504162","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2539013788","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W2075222291","https://openalex.org/W2146544734"],"abstract_inverted_index":{"We":[0],"explore":[1],"in":[2],"this":[3],"paper":[4],"a":[5,20,34,52,59,84],"novel":[6],"topological":[7,40,67,89],"organization":[8],"algorithm":[9,48],"for":[10],"data":[11],"clustering":[12,21],"and":[13,79,91],"visualization":[14],"named":[15],"TPNMF.":[16],"It":[17],"leads":[18],"to":[19],"of":[22,30,42,69,87],"the":[23,28,31,39,43,66,70,80,88],"data,":[24],"as":[25,27],"well":[26],"projection":[29],"clusters":[32],"on":[33,51,75],"two-dimensional":[35],"grid":[36],"while":[37],"preserving":[38],"order":[41,68],"initial":[44],"data.":[45,71],"The":[46],"proposed":[47],"is":[49],"based":[50],"NMF":[53],"(Nonnegative":[54],"Matrix":[55],"Factorization)":[56],"formalism":[57],"using":[58],"neighborhood":[60],"function":[61],"which":[62],"take":[63],"into":[64],"account":[65],"TPNMF":[72],"was":[73],"validated":[74],"variant":[76],"real":[77],"datasets":[78],"experimental":[81],"results":[82],"show":[83],"good":[85],"quality":[86],"ordering":[90],"homogenous":[92],"clustering.":[93]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
