{"id":"https://openalex.org/W2555374121","doi":"https://doi.org/10.1109/ijcnn.2016.7727229","title":"V-shaped neurons in hidden layer of ANN universal approximator without flat domains","display_name":"V-shaped neurons in hidden layer of ANN universal approximator without flat domains","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2555374121","doi":"https://doi.org/10.1109/ijcnn.2016.7727229","mag":"2555374121"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2016.7727229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2016.7727229","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 International Joint Conference on Neural Networks (IJCNN)","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/A5024582682","display_name":"Josef Bo\u0161t\u00edk","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Josef Bostik","raw_affiliation_strings":["Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020723085","display_name":"Martin Klimt","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Martin Klimt","raw_affiliation_strings":["Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002830607","display_name":"Matej Mojze\u0161","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Matej Mojzes","raw_affiliation_strings":["Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060971352","display_name":"Jarom\u00edr Kukal","orcid":"https://orcid.org/0000-0002-4976-5843"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jaromir Kukal","raw_affiliation_strings":["Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Software Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030985257","display_name":"Ivo Bukovsk\u00fd","orcid":"https://orcid.org/0000-0002-7715-2841"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ivo Bukovsky","raw_affiliation_strings":["Dept. of Instrumentation and Control Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Instrumentation and Control Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080610399","display_name":"Matou\u0161 Cejnek","orcid":"https://orcid.org/0000-0001-9130-7988"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Matous Cejnek","raw_affiliation_strings":["Dept. of Instrumentation and Control Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Instrumentation and Control Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5024582682"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07945474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":null,"first_page":"419","last_page":"425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9749000072479248,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9584000110626221,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.656187891960144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5889554023742676},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.534193217754364},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4935671091079712},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.4811212122440338},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.46247637271881104},{"id":"https://openalex.org/keywords/cuckoo-search","display_name":"Cuckoo search","score":0.4551210403442383},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4487780034542084},{"id":"https://openalex.org/keywords/supervised-learning","display_name":"Supervised learning","score":0.430361270904541},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.42777928709983826},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41682469844818115},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37867873907089233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3591393828392029},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3259308934211731},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.07581070065498352}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.656187891960144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5889554023742676},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.534193217754364},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4935671091079712},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.4811212122440338},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.46247637271881104},{"id":"https://openalex.org/C117241572","wikidata":"https://www.wikidata.org/wiki/Q5192379","display_name":"Cuckoo search","level":3,"score":0.4551210403442383},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4487780034542084},{"id":"https://openalex.org/C136389625","wikidata":"https://www.wikidata.org/wiki/Q334384","display_name":"Supervised learning","level":3,"score":0.430361270904541},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.42777928709983826},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41682469844818115},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37867873907089233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3591393828392029},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3259308934211731},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.07581070065498352},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2016.7727229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2016.7727229","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W230943270","https://openalex.org/W1559956479","https://openalex.org/W1596914020","https://openalex.org/W1879678483","https://openalex.org/W1988115241","https://openalex.org/W1998566516","https://openalex.org/W2001619934","https://openalex.org/W2065606540","https://openalex.org/W2117735124","https://openalex.org/W2498806647","https://openalex.org/W4206070770","https://openalex.org/W4248510537","https://openalex.org/W4251512373","https://openalex.org/W6666810045"],"related_works":["https://openalex.org/W1978568284","https://openalex.org/W2102833174","https://openalex.org/W2753354457","https://openalex.org/W2742451303","https://openalex.org/W2329556607","https://openalex.org/W3013665388","https://openalex.org/W2905415873","https://openalex.org/W4220814209","https://openalex.org/W2901222946","https://openalex.org/W1603713238"],"abstract_inverted_index":{"A":[0],"three-layer":[1],"perceptron":[2],"ANN":[3,82,96],"is":[4,25,40,60],"designed":[5],"to":[6,73],"avoid":[7],"difficulties":[8],"during":[9],"learning":[10,24,97,101,114],"process.":[11],"The":[12,34],"resulting":[13],"V-shaped":[14,95],"Artificial":[15],"Neural":[16],"Network":[17],"has":[18],"universal":[19],"approximation":[20],"property":[21,68],"and":[22,98,104,111],"its":[23],"based":[26,61],"on":[27,62,117],"the":[28,42,79,100],"minimization":[29],"of":[30,37,44,51,69,75,81,102,113],"least":[31],"squares":[32],"sum.":[33],"main":[35],"advantage":[36],"this":[38,67],"approach":[39],"in":[41,78],"absence":[43],"flat":[45],"domains":[46],"with":[47,87],"a":[48],"small":[49],"norm":[50],"objective":[52,70,76],"function":[53,77],"gradi\u00ebnt.":[54],"Therefore,":[55],"any":[56],"optimization":[57],"method":[58],"which":[59],"local":[63],"searching":[64],"yields":[65],"from":[66],"function.":[71],"Due":[72],"multimodality":[74],"case":[80],"learning,":[83],"Cuckoo":[84],"Search":[85],"heuristics":[86],"embedded":[88],"Levy":[89],"Flights":[90],"was":[91],"used":[92],"both":[93],"for":[94,99],"MLP":[103],"RBF":[105],"as":[106],"referential":[107],"ANNs.":[108],"Time":[109],"complexity":[110],"reliability":[112],"are":[115],"demonstrated":[116],"simple":[118],"example.":[119]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}