{"id":"https://openalex.org/W2166962441","doi":"https://doi.org/10.1109/ijcnn.2010.5596926","title":"Relational topological clustering","display_name":"Relational topological clustering","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2166962441","doi":"https://doi.org/10.1109/ijcnn.2010.5596926","mag":"2166962441"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2010.5596926","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2010.5596926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2010 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-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/A5000157816","display_name":"Lazhar Labiod","orcid":"https://orcid.org/0000-0001-8641-8050"},"institutions":[{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lazhar Labiod","raw_affiliation_strings":["LIPN Laboratory, Universit\u00e9 Paris 13, Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"LIPN Laboratory, Universit\u00e9 Paris 13, Villetaneuse, France","institution_ids":["https://openalex.org/I4210156583","https://openalex.org/I4210091279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007160877","display_name":"Nistor Grozavu","orcid":"https://orcid.org/0000-0001-7502-8022"},"institutions":[{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nistor Grozavu","raw_affiliation_strings":["LIPN Laboratory, Universit\u00e9 Paris 13, Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"LIPN Laboratory, Universit\u00e9 Paris 13, Villetaneuse, France","institution_ids":["https://openalex.org/I4210156583","https://openalex.org/I4210091279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019338743","display_name":"Youn\u00e8s Bennani","orcid":"https://orcid.org/0000-0003-3667-3357"},"institutions":[{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Younes Bennani","raw_affiliation_strings":["LIPN Laboratory, Universit\u00e9 Paris 13, Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"LIPN Laboratory, Universit\u00e9 Paris 13, Villetaneuse, France","institution_ids":["https://openalex.org/I4210156583","https://openalex.org/I4210091279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000157816"],"corresponding_institution_ids":["https://openalex.org/I4210091279","https://openalex.org/I4210156583"],"apc_list":null,"apc_paid":null,"fwci":1.3531,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85361331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9905999898910522,"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":0.9905999898910522,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.7118420600891113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5828291773796082},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.5669314861297607},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4929049015045166},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.4741491675376892},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47226229310035706},{"id":"https://openalex.org/keywords/topological-sorting","display_name":"Topological sorting","score":0.4659932851791382},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.45228147506713867},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4161826968193054},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3675945997238159},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35371941328048706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31118273735046387},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26079079508781433},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.20569071173667908}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7118420600891113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5828291773796082},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.5669314861297607},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4929049015045166},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4741491675376892},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47226229310035706},{"id":"https://openalex.org/C176032523","wikidata":"https://www.wikidata.org/wiki/Q753127","display_name":"Topological sorting","level":3,"score":0.4659932851791382},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.45228147506713867},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4161826968193054},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3675945997238159},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35371941328048706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31118273735046387},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26079079508781433},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.20569071173667908},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2010.5596926","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2010.5596926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2010 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W21941750","https://openalex.org/W102210256","https://openalex.org/W104621197","https://openalex.org/W401304298","https://openalex.org/W609985331","https://openalex.org/W1489608363","https://openalex.org/W1509128689","https://openalex.org/W1679913846","https://openalex.org/W1994803069","https://openalex.org/W2093901628","https://openalex.org/W2141247603","https://openalex.org/W2161577598","https://openalex.org/W2162966566","https://openalex.org/W3120740533","https://openalex.org/W6600865953","https://openalex.org/W6604245918","https://openalex.org/W6637308636","https://openalex.org/W6683655387"],"related_works":["https://openalex.org/W4386799044","https://openalex.org/W2773208253","https://openalex.org/W2560646951","https://openalex.org/W4297454206","https://openalex.org/W65104662","https://openalex.org/W1871748041","https://openalex.org/W2362286668","https://openalex.org/W2133382151","https://openalex.org/W2153339597","https://openalex.org/W1528412344"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,17,21,50,55,70,76,83,90],"new":[4],"topological":[5,40,92],"clustering":[6,80],"formalism,":[7],"dedicated":[8],"to":[9],"categorical":[10],"data":[11],"arising":[12],"in":[13],"the":[14,32,35,44,79,89,95,108],"form":[15],"of":[16,23,34,39,78,94],"binary":[18,24],"matrix":[19],"or":[20],"sum":[22],"matrices.":[25],"The":[26,97],"proposed":[27,98],"approach":[28,99],"is":[29],"based":[30],"on":[31,82,104],"principle":[33],"Kohonen's":[36],"model":[37],"(conservation":[38],"order)":[41],"and":[42,74,107],"uses":[43],"Relational":[45],"Analysis":[46],"formalism":[47],"by":[48],"optimizing":[49],"cost":[51],"function":[52],"defined":[53],"as":[54],"Condorcet":[56],"criterion.":[57],"We":[58],"propose":[59],"an":[60],"hybrid":[61],"algorithm,":[62],"which":[63],"deals":[64],"linearly":[65],"with":[66],"large":[67],"datasets,":[68],"provides":[69],"natural":[71],"clusters":[72],"identification":[73],"allows":[75],"visualization":[77],"result":[81],"two":[84],"dimensional":[85],"grid":[86],"while":[87],"preserving":[88],"priori":[91],"order":[93],"data.":[96],"called":[100],"RTC":[101],"was":[102],"validated":[103],"several":[105],"datasets":[106],"experimental":[109],"results":[110],"showed":[111],"very":[112],"promising":[113],"performances.":[114]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
