{"id":"https://openalex.org/W2050045525","doi":"https://doi.org/10.1007/s00521-010-0498-x","title":"New aspects of the elastic net\u00a0algorithm for cluster analysis","display_name":"New aspects of the elastic net\u00a0algorithm for cluster analysis","publication_year":2010,"publication_date":"2010-11-30","ids":{"openalex":"https://openalex.org/W2050045525","doi":"https://doi.org/10.1007/s00521-010-0498-x","mag":"2050045525","pmid":"https://pubmed.ncbi.nlm.nih.gov/21949468"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-010-0498-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00521-010-0498-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00521-010-0498-x.pdf","source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00521-010-0498-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052963935","display_name":"Marcos L\u00e9vano","orcid":"https://orcid.org/0000-0002-7525-3796"},"institutions":[{"id":"https://openalex.org/I2802558902","display_name":"Universidad Cat\u00f3lica de Temuco","ror":"https://ror.org/051nvp675","country_code":"CL","type":"education","lineage":["https://openalex.org/I2802558902"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Marcos L\u00e9vano","raw_affiliation_strings":["Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Temuco, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile","Universidad Cat\u00f3lica de Temuco, Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Temuco, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile","institution_ids":["https://openalex.org/I2802558902"]},{"raw_affiliation_string":"Universidad Cat\u00f3lica de Temuco, Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile#TAB#","institution_ids":["https://openalex.org/I2802558902"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084815194","display_name":"Hans Nowak","orcid":"https://orcid.org/0000-0003-0464-2986"},"institutions":[{"id":"https://openalex.org/I2802558902","display_name":"Universidad Cat\u00f3lica de Temuco","ror":"https://ror.org/051nvp675","country_code":"CL","type":"education","lineage":["https://openalex.org/I2802558902"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Hans Nowak","raw_affiliation_strings":["Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Temuco, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile","Universidad Cat\u00f3lica de Temuco, Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Temuco, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile","institution_ids":["https://openalex.org/I2802558902"]},{"raw_affiliation_string":"Universidad Cat\u00f3lica de Temuco, Escuela de Ingenier\u00eda Inform\u00e1tica, Facultad de Ingenier\u00eda, Av. Manuel Montt 56, Casilla 15-D, Temuco, Chile#TAB#","institution_ids":["https://openalex.org/I2802558902"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9323,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80847786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"6","first_page":"835","last_page":"850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9850999712944031,"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/T10320","display_name":"Neural Networks and Applications","score":0.9850999712944031,"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/T14351","display_name":"Statistical and Computational Modeling","score":0.9685999751091003,"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/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9564999938011169,"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/centroid","display_name":"Centroid","score":0.6689993739128113},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.602753221988678},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.5251633524894714},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.519999086856842},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4850999116897583},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4777083396911621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4747253656387329},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4227471351623535},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.41508615016937256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39652541279792786},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3226391673088074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1610417366027832},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12005484104156494},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11336466670036316}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.6689993739128113},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.602753221988678},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.5251633524894714},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.519999086856842},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4850999116897583},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4777083396911621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4747253656387329},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4227471351623535},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.41508615016937256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39652541279792786},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3226391673088074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1610417366027832},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12005484104156494},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11336466670036316},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00521-010-0498-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00521-010-0498-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00521-010-0498-x.pdf","source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},{"id":"pmid:21949468","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21949468","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computing & applications","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:3155750","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3155750","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural Comput Appl","raw_type":"Text"},{"id":"pmh:oai:repositoriodigital.uct.cl:10925/2856","is_oa":false,"landing_page_url":"http://repositoriodigital.uct.cl/handle/10925/2856","pdf_url":null,"source":{"id":"https://openalex.org/S4306401092","display_name":"Repositorio Acad\u00e9mico de la Universidad Cat\u00f3lica de Temuco (Universidad Cat\u00f3lica de Temuco)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"NEURAL COMPUTING & APPLICATIONS","raw_type":""},{"id":"pmh:oai:repositoriodigital.uct.cl:10925/558","is_oa":false,"landing_page_url":"http://hdl.handle.net/10925/558","pdf_url":null,"source":{"id":"https://openalex.org/S4306401092","display_name":"Repositorio Acad\u00e9mico de la Universidad Cat\u00f3lica de Temuco (Universidad Cat\u00f3lica de Temuco)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural Computing and Applications","raw_type":"Art\u00edculo de Revista"}],"best_oa_location":{"id":"doi:10.1007/s00521-010-0498-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00521-010-0498-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00521-010-0498-x.pdf","source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2050045525.pdf","grobid_xml":"https://content.openalex.org/works/W2050045525.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1990904847","https://openalex.org/W2012796346","https://openalex.org/W2025887562","https://openalex.org/W2032467225","https://openalex.org/W2051719061","https://openalex.org/W2061614302","https://openalex.org/W2074558389","https://openalex.org/W2099676413","https://openalex.org/W2114764506","https://openalex.org/W2123169298","https://openalex.org/W2166771618","https://openalex.org/W2799061466","https://openalex.org/W4230946174","https://openalex.org/W4301421397"],"related_works":["https://openalex.org/W2359979928","https://openalex.org/W2368353614","https://openalex.org/W2390369954","https://openalex.org/W1529719486","https://openalex.org/W2373917503","https://openalex.org/W2392101695","https://openalex.org/W2161373934","https://openalex.org/W2361943787","https://openalex.org/W2411789204","https://openalex.org/W2271841533"],"abstract_inverted_index":{"The":[0,130,151],"elastic":[1],"net":[2],"algorithm":[3],"formulated":[4,40],"by":[5,109],"Durbin-Willshaw":[6],"as":[7,23,41,122,143],"a":[8,24,42,47,50,64,144,198],"heuristic":[9],"method":[10],"and":[11,154,157,177,192,205],"initially":[12],"applied":[13],"to":[14,72,189],"solve":[15],"the":[16,33,60,68,74,81,89,103,110,119,123,127,135,148,155,160,165,170],"traveling":[17],"salesman":[18],"problem":[19],"can":[20,140],"be":[21,73,141],"used":[22,142],"tool":[25],"for":[26,100,134,147],"data":[27,61,92],"clustering":[28],"in":[29,96,118,169,181,195],"n-dimensional":[30],"space.":[31],"With":[32],"help":[34],"of":[35,53,77,83,91,105,114,126,159,167,197,201],"statistical":[36],"mechanics,":[37],"it":[38],"is":[39,85,132,187],"deterministic":[43],"annealing":[44,149],"method,":[45],"where":[46],"chain":[48],"with":[49,59,175],"fixed":[51],"number":[52,82,90,156,166],"nodes":[54,69,84,168],"interacts":[55],"at":[56],"different":[57],"temperatures":[58],"cloud.":[62],"From":[63],"given":[65,188],"temperature":[66,153],"on":[67,164],"are":[70,117],"found":[71],"optimal":[75,124],"centroids":[76,104,125],"fuzzy":[78,128],"clusters,":[79,107],"if":[80],"much":[86],"smaller":[87],"than":[88],"points.":[93],"We":[94],"show":[95],"this":[97,101],"contribution":[98],"that":[99],"temperature,":[102],"hard":[106,161],"defined":[108],"nearest":[111],"neighbor":[112],"clusters":[113,162,180],"every":[115],"node,":[116],"same":[120,131],"position":[121],"clusters.":[129],"true":[133],"standard":[136],"deviations.":[137],"This":[138],"result":[139],"stopping":[145,152],"criterion":[146],"process.":[150],"sizes":[158],"depend":[163],"chain.":[171],"Test":[172],"was":[173],"made":[174],"homogeneous":[176],"nonhomogeneous":[178],"artificial":[179],"two":[182],"dimensions.":[183],"A":[184],"medical":[185],"application":[186],"localize":[190],"tumors":[191],"their":[193],"size":[194],"images":[196],"combined":[199],"measurement":[200],"X-ray":[202],"computed":[203],"tomography":[204],"positron":[206],"emission":[207],"tomography.":[208]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}