{"id":"https://openalex.org/W2119960767","doi":"https://doi.org/10.1109/ijcnn.2008.4634286","title":"Visualization with Voronoi tessellation and moving output units in Self-Organizing map of the real-number system","display_name":"Visualization with Voronoi tessellation and moving output units in Self-Organizing map of the real-number system","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2119960767","doi":"https://doi.org/10.1109/ijcnn.2008.4634286","mag":"2119960767"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2008.4634286","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2008.4634286","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.intechopen.com/articles/show/title/visualization-with-voronoi-tessellation-and-moving-output-units-in-self-organizing-map-of-the-real-n","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072032804","display_name":"Y\u016bji Matsumoto","orcid":"https://orcid.org/0000-0003-4946-9574"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuji Matsumoto","raw_affiliation_strings":["Department of System Innovation, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of System Innovation, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082776031","display_name":"Motohide Umano","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Motohide Umano","raw_affiliation_strings":["Department of Mathematics and Information Sciences, Graduate School of Science, Osaka Prefecture University, Sakai, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Sciences, Graduate School of Science, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075050549","display_name":"Masahiro Inuiguchi","orcid":"https://orcid.org/0000-0001-9970-1621"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahiro Inuiguchi","raw_affiliation_strings":["Department of System Innovation, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of System Innovation, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072032804"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.5866,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79320964,"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":"3428","last_page":"3434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9950000047683716,"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":0.9950000047683716,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9721999764442444,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9677000045776367,"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.948089063167572},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.6412255764007568},{"id":"https://openalex.org/keywords/self-organizing-map","display_name":"Self-organizing map","score":0.6369648575782776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6247676014900208},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.5593664646148682},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.5222235918045044},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5113682150840759},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5107393264770508},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4775839149951935},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45914220809936523},{"id":"https://openalex.org/keywords/data-visualization","display_name":"Data visualization","score":0.4262005388736725},{"id":"https://openalex.org/keywords/power-diagram","display_name":"Power diagram","score":0.4238690435886383},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4024001657962799},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38794437050819397},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37037283182144165},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.35779649019241333},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.33171987533569336},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29402828216552734},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2748555541038513},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17448469996452332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09739518165588379}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.948089063167572},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.6412255764007568},{"id":"https://openalex.org/C111168008","wikidata":"https://www.wikidata.org/wiki/Q1136838","display_name":"Self-organizing map","level":3,"score":0.6369648575782776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6247676014900208},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.5593664646148682},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.5222235918045044},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5113682150840759},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5107393264770508},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4775839149951935},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45914220809936523},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.4262005388736725},{"id":"https://openalex.org/C20573064","wikidata":"https://www.wikidata.org/wiki/Q13410436","display_name":"Power diagram","level":3,"score":0.4238690435886383},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4024001657962799},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38794437050819397},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37037283182144165},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.35779649019241333},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.33171987533569336},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29402828216552734},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2748555541038513},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17448469996452332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09739518165588379},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ijcnn.2008.4634286","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2008.4634286","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence)","raw_type":"proceedings-article"},{"id":"pmh:oai:intechopen.com:10461","is_oa":true,"landing_page_url":"http://www.intechopen.com/articles/show/title/visualization-with-voronoi-tessellation-and-moving-output-units-in-self-organizing-map-of-the-real-n","pdf_url":null,"source":{"id":"https://openalex.org/S4306401291","display_name":"Contact-less Assessment of In-vivo Body Signals Using Microwave Doppler Radar (InTech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210154139","host_organization_name":"Intech (Slovakia)","host_organization_lineage":["https://openalex.org/I4210154139"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.intechopen.com/download/pdf/pdfs_id/10461","raw_type":"08"}],"best_oa_location":{"id":"pmh:oai:intechopen.com:10461","is_oa":true,"landing_page_url":"http://www.intechopen.com/articles/show/title/visualization-with-voronoi-tessellation-and-moving-output-units-in-self-organizing-map-of-the-real-n","pdf_url":null,"source":{"id":"https://openalex.org/S4306401291","display_name":"Contact-less Assessment of In-vivo Body Signals Using Microwave Doppler Radar (InTech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210154139","host_organization_name":"Intech (Slovakia)","host_organization_lineage":["https://openalex.org/I4210154139"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.intechopen.com/download/pdf/pdfs_id/10461","raw_type":"08"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W65738273","https://openalex.org/W1592989128","https://openalex.org/W1968747946","https://openalex.org/W2006493416","https://openalex.org/W2084345327","https://openalex.org/W2129766170","https://openalex.org/W2134312057","https://openalex.org/W2134383396","https://openalex.org/W2138754805","https://openalex.org/W2142569723","https://openalex.org/W4213332169"],"related_works":["https://openalex.org/W1992160534","https://openalex.org/W2015548030","https://openalex.org/W2739428663","https://openalex.org/W2383087774","https://openalex.org/W1978501764","https://openalex.org/W2371724110","https://openalex.org/W1930867958","https://openalex.org/W2116864555","https://openalex.org/W2392199123","https://openalex.org/W2148542317"],"abstract_inverted_index":{"The":[0],"Self-Organizing":[1],"map":[2],"(SOM)":[3],"proposed":[4],"by":[5],"T.":[6],"Kohonen":[7],"is":[8,53],"a":[9,13,49,54],"method":[10,101],"to":[11],"produce":[12],"low-dimensional":[14],"representation":[15],"from":[16],"high-dimensional":[17],"input":[18,96],"data":[19,97],"automatically,":[20],"where":[21,35],"output":[22,36,66,77],"units":[23,37,67],"are":[24,38],"restrictedly":[25],"placed":[26,40],"on":[27,41,68,75],"grid":[28,71],"points.":[29],"We":[30,85,113],"propose":[31,86],"real-number":[32,43],"SOM":[33,60],"(RSOM),":[34],"freely":[39],"the":[42,58,65,69,76,79,82,95],"coordinates":[44],"plane":[45],"and":[46,98,110],"visualized":[47],"as":[48,81,103],"Voronoi":[50,62],"diagram.":[51],"RSOM":[52],"natural":[55],"extension":[56],"of":[57,89,94,121],"conventional":[59,83],"because":[61],"tessellation":[63],"for":[64],"square":[70,73],"generates":[72],"regions":[74],"plane,":[78],"same":[80],"SOM.":[84],"two":[87],"methods":[88,116],"moving":[90,115],"with":[91],"preserving":[92],"topology":[93],"several":[99],"visualization":[100],"such":[102],"minimum":[104],"spanning":[105],"tree,":[106],"variable":[107],"boundary":[108],"width":[109],"spherical":[111],"RSOM.":[112],"illustrate":[114],"decrease":[117],"errors":[118],"in":[119],"results":[120],"simulation.":[122]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}