{"id":"https://openalex.org/W1994803069","doi":"https://doi.org/10.1109/ijcnn.2007.4371030","title":"BeSOM : Bernoulli on Self-Organizing Map","display_name":"BeSOM : Bernoulli on Self-Organizing Map","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W1994803069","doi":"https://doi.org/10.1109/ijcnn.2007.4371030","mag":"1994803069"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2007.4371030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2007.4371030","pdf_url":null,"source":{"id":"https://openalex.org/S4210195743","display_name":"IEEE International Conference on Neural Networks/IEEE ... International Conference on Neural Networks","issn_l":"1098-7576","issn":["1098-7576","1558-3902"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 International Joint Conference on Neural Networks","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/A5023422312","display_name":"Mustapha Lebbah","orcid":"https://orcid.org/0000-0001-7245-6371"},"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/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mustapha Lebbah","raw_affiliation_strings":["UFR de Sante, Medicine et Biologie Humaine (SMBH), LIM&BIO Lab, Universite Paris 13, Bobigny, France","Paris Univ., Paris"],"affiliations":[{"raw_affiliation_string":"UFR de Sante, Medicine et Biologie Humaine (SMBH), LIM&BIO Lab, Universite Paris 13, Bobigny, France","institution_ids":["https://openalex.org/I4210091279"]},{"raw_affiliation_string":"Paris Univ., Paris","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003749416","display_name":"Nicoleta Rogovschi","orcid":null},"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/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"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":"Nicoleta Rogovschi","raw_affiliation_strings":["LIPN Lab, Universit\u00e8 Paris 13, Villeurbanne, France","LIPN Lab, Universit\u00e9 Paris 13, 99, avenue Jean-Baptiste Cl\u00e9ment 93430 Villetaneuse, France. Email: Nicoleta@lipn.univ-paris13.fr"],"affiliations":[{"raw_affiliation_string":"LIPN Lab, Universit\u00e8 Paris 13, Villeurbanne, France","institution_ids":["https://openalex.org/I4210156583","https://openalex.org/I4210091279"]},{"raw_affiliation_string":"LIPN Lab, Universit\u00e9 Paris 13, 99, avenue Jean-Baptiste Cl\u00e9ment 93430 Villetaneuse, France. Email: Nicoleta@lipn.univ-paris13.fr","institution_ids":["https://openalex.org/I204730241","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/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"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":"Younes Bennani","raw_affiliation_strings":["LIPN Lab, Universit\u00e8 Paris 13, Villeurbanne, France","LIPN Lab, Universit\u00e9 Paris 13, 99, avenue Jean-Baptiste Cl\u00e9ment 93430 Villetaneuse, France. Email: Younes@lipn.univ-paris13.fr"],"affiliations":[{"raw_affiliation_string":"LIPN Lab, Universit\u00e8 Paris 13, Villeurbanne, France","institution_ids":["https://openalex.org/I4210156583","https://openalex.org/I4210091279"]},{"raw_affiliation_string":"LIPN Lab, Universit\u00e9 Paris 13, 99, avenue Jean-Baptiste Cl\u00e9ment 93430 Villetaneuse, France. Email: Younes@lipn.univ-paris13.fr","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210156583","https://openalex.org/I4210091279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023422312"],"corresponding_institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210091279"],"apc_list":null,"apc_paid":null,"fwci":3.0445,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.9165536,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"38","issue":null,"first_page":"631","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9968000054359436,"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":0.9968000054359436,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9757999777793884,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6835581064224243},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6833858489990234},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6041749715805054},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.6031018495559692},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5723633170127869},{"id":"https://openalex.org/keywords/binary-data","display_name":"Binary data","score":0.5379913449287415},{"id":"https://openalex.org/keywords/self-organizing-map","display_name":"Self-organizing map","score":0.5176649689674377},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.49507227540016174},{"id":"https://openalex.org/keywords/data-visualization","display_name":"Data visualization","score":0.49274638295173645},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.46576881408691406},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.4351721405982971},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.420957088470459},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37839382886886597},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3717600703239441},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3586888909339905},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3476889729499817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2197241187095642},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.18888583779335022}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6835581064224243},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6833858489990234},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6041749715805054},{"id":"https://openalex.org/C27956954","wikidata":"https://www.wikidata.org/wiki/Q391371","display_name":"Bernoulli distribution","level":3,"score":0.6031018495559692},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5723633170127869},{"id":"https://openalex.org/C2779190172","wikidata":"https://www.wikidata.org/wiki/Q4913888","display_name":"Binary data","level":3,"score":0.5379913449287415},{"id":"https://openalex.org/C111168008","wikidata":"https://www.wikidata.org/wiki/Q1136838","display_name":"Self-organizing map","level":3,"score":0.5176649689674377},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.49507227540016174},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.49274638295173645},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.46576881408691406},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4351721405982971},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.420957088470459},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37839382886886597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3717600703239441},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3586888909339905},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3476889729499817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2197241187095642},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.18888583779335022},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2007.4371030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2007.4371030","pdf_url":null,"source":{"id":"https://openalex.org/S4210195743","display_name":"IEEE International Conference on Neural Networks/IEEE ... International Conference on Neural Networks","issn_l":"1098-7576","issn":["1098-7576","1558-3902"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 International Joint Conference on Neural Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W101216601","https://openalex.org/W104621197","https://openalex.org/W1562839429","https://openalex.org/W1580884129","https://openalex.org/W1679913846","https://openalex.org/W1966671935","https://openalex.org/W1975124385","https://openalex.org/W1979164582","https://openalex.org/W2049633694","https://openalex.org/W2055247046","https://openalex.org/W2064588232","https://openalex.org/W2076364662","https://openalex.org/W2084812512","https://openalex.org/W2101215273","https://openalex.org/W2107636931","https://openalex.org/W2117853077","https://openalex.org/W2129061213","https://openalex.org/W2134731454","https://openalex.org/W2146837144","https://openalex.org/W2155298439","https://openalex.org/W2268590418","https://openalex.org/W2982720039","https://openalex.org/W3129711340","https://openalex.org/W4245176872","https://openalex.org/W6604245918","https://openalex.org/W6671611538","https://openalex.org/W7048738093"],"related_works":["https://openalex.org/W2236428207","https://openalex.org/W4366387587","https://openalex.org/W2151706800","https://openalex.org/W2099646276","https://openalex.org/W1982788967","https://openalex.org/W4324123865","https://openalex.org/W2786287312","https://openalex.org/W4237517023","https://openalex.org/W2933707278","https://openalex.org/W3198935159"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,18,31,39,89,94,100,107],"probabilistic":[4,19],"self-organizing":[5],"map":[6],"for":[7],"clustering,":[8],"analysis":[9],"and":[10,52,99,114],"visualization":[11],"of":[12,55,71,80,110],"multivariate":[13],"binary":[14,23,44],"data.":[15],"We":[16,76],"propose":[17,67],"formalism":[20],"dedicated":[21],"to":[22],"data":[24,50,85,91,97,102],"in":[25,48],"which":[26],"cells":[27],"are":[28],"represented":[29],"by":[30,38],"Bernoulli":[32],"distribution.":[33],"Each":[34],"cell":[35],"is":[36,68],"characterized":[37],"prototype":[40],"with":[41,83],"the":[42,49,53,72,78,111],"same":[43],"coding":[45],"as":[46],"used":[47],"space":[51],"probability":[54],"being":[56],"different":[57],"from":[58,88],"this":[59,81],"prototype.":[60],"The":[61,104],"learning":[62],"algorithm,":[63],"BeSOM,":[64],"that":[65],"we":[66],"an":[69],"application":[70],"EM":[73],"standard":[74],"algorithm.":[75],"illustrate":[77],"power":[79],"method":[82],"two":[84],"sets":[86],"taken":[87],"public":[90],"set":[92,98],"repository:":[93],"handwritten":[95],"digit":[96],"zoo":[101],"set.":[103],"results":[105],"show":[106],"good":[108],"quality":[109],"topological":[112],"ordering":[113],"homogenous":[115],"clustering.":[116]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}