{"id":"https://openalex.org/W2161579136","doi":"https://doi.org/10.1109/ijcnn.2003.1223401","title":"Clustering using Renyi's entropy","display_name":"Clustering using Renyi's entropy","publication_year":2004,"publication_date":"2004-03-02","ids":{"openalex":"https://openalex.org/W2161579136","doi":"https://doi.org/10.1109/ijcnn.2003.1223401","mag":"2161579136"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2003.1223401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","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/A5013414039","display_name":"Robert Jenssen","orcid":"https://orcid.org/0000-0002-7496-8474"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"id":"https://openalex.org/I78037679","display_name":"UiT The Arctic University of Norway","ror":"https://ror.org/00wge5k78","country_code":"NO","type":"education","lineage":["https://openalex.org/I78037679"]}],"countries":["NO","US"],"is_corresponding":true,"raw_author_name":"R. Jenssen","raw_affiliation_strings":["Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","Electrical Engineering Group, Department of Physics, University of Troms\u00f8, Tromso, Norway"],"affiliations":[{"raw_affiliation_string":"Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Electrical Engineering Group, Department of Physics, University of Troms\u00f8, Tromso, Norway","institution_ids":["https://openalex.org/I78037679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064326001","display_name":"Kenneth E. Hild","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K.E. Hild","raw_affiliation_strings":["Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083261801","display_name":"Deniz Erdo\u011fmu\u015f","orcid":"https://orcid.org/0000-0002-1114-3539"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Erdogmus","raw_affiliation_strings":["Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019504861","display_name":"Jos\u00e9 C. Pr\u0131\u0301ncipe","orcid":"https://orcid.org/0000-0002-3449-3531"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.C. Principe","raw_affiliation_strings":["Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Computational NeuroEngineering Laboratory, Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016021299","display_name":"Torbj\u00f8rn Eltoft","orcid":"https://orcid.org/0000-0002-1597-4364"},"institutions":[{"id":"https://openalex.org/I78037679","display_name":"UiT The Arctic University of Norway","ror":"https://ror.org/00wge5k78","country_code":"NO","type":"education","lineage":["https://openalex.org/I78037679"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"T. Eltoft","raw_affiliation_strings":["Electrical Engineering Group, Department of Physics, University of Troms\u00f8, Tromso, Norway"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Group, Department of Physics, University of Troms\u00f8, Tromso, Norway","institution_ids":["https://openalex.org/I78037679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5013414039"],"corresponding_institution_ids":["https://openalex.org/I33213144","https://openalex.org/I78037679"],"apc_list":null,"apc_paid":null,"fwci":4.497,"has_fulltext":false,"cited_by_count":97,"citation_normalized_percentile":{"value":0.94737619,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":null,"first_page":"523","last_page":"528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T11106","display_name":"Data Management and Algorithms","score":0.9962999820709229,"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/T10320","display_name":"Neural Networks and Applications","score":0.9944000244140625,"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":0.7916905283927917},{"id":"https://openalex.org/keywords/differential-entropy","display_name":"Differential entropy","score":0.5788602232933044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5078604817390442},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.5077937245368958},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4944794178009033},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.48523855209350586},{"id":"https://openalex.org/keywords/single-linkage-clustering","display_name":"Single-linkage clustering","score":0.48484528064727783},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.4686141908168793},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4650735855102539},{"id":"https://openalex.org/keywords/k-medians-clustering","display_name":"k-medians clustering","score":0.45949605107307434},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4436872899532318},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.4401637315750122},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3960430920124054},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.36411863565444946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3334839344024658},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31368622183799744},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.2292000949382782},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11010918021202087}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7916905283927917},{"id":"https://openalex.org/C124551494","wikidata":"https://www.wikidata.org/wiki/Q3055345","display_name":"Differential entropy","level":4,"score":0.5788602232933044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5078604817390442},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.5077937245368958},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4944794178009033},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.48523855209350586},{"id":"https://openalex.org/C22648726","wikidata":"https://www.wikidata.org/wiki/Q7523744","display_name":"Single-linkage clustering","level":5,"score":0.48484528064727783},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.4686141908168793},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4650735855102539},{"id":"https://openalex.org/C115328559","wikidata":"https://www.wikidata.org/wiki/Q4041956","display_name":"k-medians clustering","level":5,"score":0.45949605107307434},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4436872899532318},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.4401637315750122},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3960430920124054},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.36411863565444946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3334839344024658},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31368622183799744},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2292000949382782},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11010918021202087},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2003.1223401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1624804034","https://openalex.org/W1943383135","https://openalex.org/W1971784203","https://openalex.org/W1992419399","https://openalex.org/W1994605000","https://openalex.org/W2019359195","https://openalex.org/W2030174361","https://openalex.org/W2039623180","https://openalex.org/W2084812512","https://openalex.org/W2099111195","https://openalex.org/W2107903523","https://openalex.org/W2112617148","https://openalex.org/W2118020555","https://openalex.org/W2122882636","https://openalex.org/W2125687218","https://openalex.org/W2127218421","https://openalex.org/W2140939879","https://openalex.org/W2165874743","https://openalex.org/W2319660501","https://openalex.org/W3112020351","https://openalex.org/W4242837574","https://openalex.org/W6678323213","https://openalex.org/W6684578312","https://openalex.org/W6770641979"],"related_works":["https://openalex.org/W2188840951","https://openalex.org/W3092684173","https://openalex.org/W2183813428","https://openalex.org/W2056194206","https://openalex.org/W2367377022","https://openalex.org/W2376412895","https://openalex.org/W4249166706","https://openalex.org/W3209217468","https://openalex.org/W2393816671","https://openalex.org/W2625388113"],"abstract_inverted_index":{"We":[0,41,161],"propose":[1],"a":[2,19,60,73,96,140,175],"new":[3],"clustering":[4,164],"algorithm":[5,165],"using":[6],"Renyi's":[7],"entropy":[8,33,48,87,111,146],"as":[9,46,100],"our":[10,152],"similarity":[11],"metric.":[12],"The":[13,144],"main":[14],"idea":[15],"is":[16,123],"to":[17,22,43,150,169],"assign":[18],"data":[20,70,172,177],"pattern":[21],"the":[23,34,39,52,69,77,92,101,114,135,163],"cluster,":[24],"which":[25],"among":[26],"all":[27,80],"possible":[28],"clusters,":[29],"increases":[30],"its":[31],"within-cluster":[32],"least,":[35],"upon":[36],"inclusion":[37],"of":[38,55,62,76,117,142,155],"pattern.":[40],"refer":[42],"this":[44],"procedure":[45,122],"differential":[47,86,110],"clustering.":[49,88],"Not":[50],"knowing":[51],"true":[53],"number":[54,61,116],"clusters":[56,64,118,128,156],"in":[57,68,157],"advance,":[58],"initially":[59],"small":[63,74],"are":[65,83,106],"\"seeded\"":[66],"randomly":[67],"set,":[71],"labeling":[72],"subset":[75],"data.":[78],"Thereafter":[79],"remaining":[81],"patterns":[82],"labeled":[84],"by":[85,95,109,119],"Subsequently,":[89],"we":[90,98,133],"identify":[91],"\"worst":[93],"cluster\"":[94],"quantity":[97],"name":[99],"between-cluster":[102,145],"entropy.":[103],"Its":[104],"members":[105],"re-clustered,":[107],"again":[108],"clustering,":[112],"reducing":[113],"overall":[115],"one.":[120],"This":[121],"repeated":[124],"until":[125],"only":[126],"two":[127],"remain.":[129],"At":[130],"each":[131],"step":[132],"store":[134],"current":[136],"labels,":[137],"thus":[138],"producing":[139],"hierarchy":[141],"clusters.":[143],"also":[147],"enables":[148],"us":[149],"select":[151],"final":[153],"set":[154],"other":[158],"cluster":[159],"hierarchy.":[160],"demonstrate":[162],"when":[166],"applied":[167],"both":[168],"artificially":[170],"created":[171],"sets":[173],"and":[174],"real":[176],"set.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}