{"id":"https://openalex.org/W2485919340","doi":"https://doi.org/10.1007/978-3-319-41920-6_51","title":"On the Abstraction of a Categorical Clustering Algorithm","display_name":"On the Abstraction of a Categorical Clustering Algorithm","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2485919340","doi":"https://doi.org/10.1007/978-3-319-41920-6_51","mag":"2485919340"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-41920-6_51","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-41920-6_51","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://puma.isti.cnr.it/dfdownloadnew.php?ident=cnr.iit/cnr.iit/2016-A2-004","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014715753","display_name":"Mina Sheikhalishahi","orcid":null},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mina Sheikhalishahi","raw_affiliation_strings":["Department of Computer Science, Universit\u00e9 Laval, Qu\u00e9bec City, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universit\u00e9 Laval, Qu\u00e9bec City, Canada","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089512218","display_name":"Mohamed Mejri","orcid":"https://orcid.org/0000-0003-4820-3176"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohamed Mejri","raw_affiliation_strings":["Department of Computer Science, Universit\u00e9 Laval, Qu\u00e9bec City, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universit\u00e9 Laval, Qu\u00e9bec City, Canada","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046818389","display_name":"Nadia Tawbi","orcid":"https://orcid.org/0000-0002-1030-0918"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nadia Tawbi","raw_affiliation_strings":["Department of Computer Science, Universit\u00e9 Laval, Qu\u00e9bec City, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universit\u00e9 Laval, Qu\u00e9bec City, Canada","institution_ids":["https://openalex.org/I43406934"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014715753"],"corresponding_institution_ids":["https://openalex.org/I43406934"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.7814,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67966574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"659","last_page":"675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9879999756813049,"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"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9879999756813049,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9858999848365784,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9747999906539917,"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":0.7085618376731873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7027522325515747},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6883084177970886},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5129579901695251},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5121940970420837},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4967806935310364},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.46426108479499817},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4560437798500061},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.4376922845840454},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42513272166252136},{"id":"https://openalex.org/keywords/hierarchical-clustering","display_name":"Hierarchical clustering","score":0.4184919595718384},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3677883744239807},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36243486404418945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3194611072540283},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.21624711155891418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21524924039840698},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.14545193314552307},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09056085348129272},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06789276003837585}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7085618376731873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7027522325515747},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6883084177970886},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5129579901695251},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5121940970420837},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4967806935310364},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.46426108479499817},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4560437798500061},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.4376922845840454},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42513272166252136},{"id":"https://openalex.org/C92835128","wikidata":"https://www.wikidata.org/wiki/Q1277447","display_name":"Hierarchical clustering","level":3,"score":0.4184919595718384},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3677883744239807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36243486404418945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3194611072540283},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21624711155891418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21524924039840698},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.14545193314552307},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09056085348129272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06789276003837585},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-41920-6_51","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-41920-6_51","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pumaoai.isti.cnr.it:cnr.iit/cnr.iit/2016-A2-004","is_oa":true,"landing_page_url":"http://puma.isti.cnr.it/dfdownloadnew.php?ident=cnr.iit/cnr.iit/2016-A2-004","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In: MLDM 2016 - 12th International Conference Machine Learning and Data Mining in Pattern Recognition (New York, USA, 16-07 2016). Proceedings, vol. 9729 pp. 659 - 675. (Lecture Notes in Computer Science). Springer, 2016.","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:pumaoai.isti.cnr.it:cnr.iit/cnr.iit/2016-A2-004","is_oa":true,"landing_page_url":"http://puma.isti.cnr.it/dfdownloadnew.php?ident=cnr.iit/cnr.iit/2016-A2-004","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In: MLDM 2016 - 12th International Conference Machine Learning and Data Mining in Pattern Recognition (New York, USA, 16-07 2016). Proceedings, vol. 9729 pp. 659 - 675. (Lecture Notes in Computer Science). Springer, 2016.","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W10297790","https://openalex.org/W655258421","https://openalex.org/W1501500081","https://openalex.org/W1567268701","https://openalex.org/W1591726984","https://openalex.org/W2057494031","https://openalex.org/W2078727257","https://openalex.org/W2125816831","https://openalex.org/W2128967738","https://openalex.org/W2129018774","https://openalex.org/W2295324252","https://openalex.org/W2400277410","https://openalex.org/W2911667571"],"related_works":["https://openalex.org/W3016398456","https://openalex.org/W3037184237","https://openalex.org/W2093885745","https://openalex.org/W2351266481","https://openalex.org/W2132547887","https://openalex.org/W2071459461","https://openalex.org/W2516987005","https://openalex.org/W2898752095","https://openalex.org/W2907786475","https://openalex.org/W2963447120"],"abstract_inverted_index":{"Despite":[0],"being":[1],"one":[2],"of":[3,20,39,54,67,105,117],"the":[4,18,37,55,83,110,115,146],"most":[5],"common":[6],"approach":[7,128],"in":[8,138,144],"unsupervised":[9],"data":[10],"analysis,":[11],"a":[12,26,40,45,64,68,75,87,103,118,122],"very":[13],"small":[14],"literature":[15],"exists":[16],"on":[17,109],"formalization":[19],"clustering":[21,48,135],"algorithms.":[22],"This":[23],"paper":[24],"proposes":[25],"semiring-based":[27],"methodology,":[28],"named":[29,50],"Feature-Cluster":[30],"Algebra,":[31],"which":[32,94,139],"is":[33],"applied":[34],"to":[35,86,98,113,120,132],"abstract":[36],"representation":[38,89],"labeled":[41,76],"tree":[42,77],"structure":[43,112],"representing":[44],"hierarchical":[46],"categorical":[47,134],"algorithm,":[49],"CCTree.":[51],"The":[52,79,125],"elements":[53],"feature-cluster":[56],"algebra":[57],"are":[58],"called":[59],"terms.":[60],"We":[61],"prove":[62],"that":[63],"specific":[65],"kind":[66],"term,":[69],"under":[70],"some":[71],"conditions,":[72],"fully":[73],"abstracts":[74],"structure.":[78,124],"abstraction":[80],"methodology":[81],"maps":[82],"original":[84],"problem":[85],"new":[88],"by":[90],"removing":[91],"unwanted":[92],"details,":[93],"makes":[95],"it":[96],"simpler":[97],"handle.":[99],"Moreover,":[100],"we":[101],"present":[102],"set":[104],"relations":[106],"and":[107],"functions":[108],"algebraic":[111],"shape":[114],"requirements":[116],"term":[119],"represent":[121],"CCTree":[123],"proposed":[126],"formal":[127],"can":[129],"be":[130],"generalized":[131],"other":[133],"(classification)":[136],"algorithms":[137],"features":[140],"play":[141],"key":[142],"roles":[143],"specifying":[145],"clusters":[147],"(classes).":[148]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}