{"id":"https://openalex.org/W1590749351","doi":"https://doi.org/10.1007/3-540-46238-4_20","title":"Using the Hermite Regression Formula to Design a Neural Architecture with Automatic Learning of the \u201cHidden\u201d Activation Functions","display_name":"Using the Hermite Regression Formula to Design a Neural Architecture with Automatic Learning of the \u201cHidden\u201d Activation Functions","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1590749351","doi":"https://doi.org/10.1007/3-540-46238-4_20","mag":"1590749351"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46238-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46238-4_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5046377602","display_name":"Salvatore Gaglio","orcid":"https://orcid.org/0000-0002-5480-2100"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"S. Gaglio","raw_affiliation_strings":["Dip. di Ingegneria Automatica e Informatica, Univ. of Palermo, Italy and CERE-CNR, Palermo, Italy"],"affiliations":[{"raw_affiliation_string":"Dip. di Ingegneria Automatica e Informatica, Univ. of Palermo, Italy and CERE-CNR, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061605283","display_name":"Giovanni Pilato","orcid":"https://orcid.org/0000-0002-6254-2249"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Pilato","raw_affiliation_strings":["Dip. di Ingegneria Elettrica, Univ. of Palermo, Palermo, Italy"],"affiliations":[{"raw_affiliation_string":"Dip. di Ingegneria Elettrica, Univ. of Palermo, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088723808","display_name":"Filippo Sorbello","orcid":"https://orcid.org/0000-0002-4947-3453"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Sorbello","raw_affiliation_strings":["Dip. di Ingegneria Automatica e Informatica, Univ. of Palermo, Italy and CERE-CNR, Palermo, Italy"],"affiliations":[{"raw_affiliation_string":"Dip. di Ingegneria Automatica e Informatica, Univ. of Palermo, Italy and CERE-CNR, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042079595","display_name":"Giorgio Vassallo","orcid":"https://orcid.org/0000-0002-7285-3665"},"institutions":[{"id":"https://openalex.org/I4210114272","display_name":"Regione Siciliana","ror":"https://ror.org/025079t78","country_code":"IT","type":"government","lineage":["https://openalex.org/I4210114272"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Vassallo","raw_affiliation_strings":["CRES \u2014 Centro per la Ricerca Elettronica in Sicilia, Monreale (PA), Italy"],"affiliations":[{"raw_affiliation_string":"CRES \u2014 Centro per la Ricerca Elettronica in Sicilia, Monreale (PA), Italy","institution_ids":["https://openalex.org/I4210114272"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046377602"],"corresponding_institution_ids":["https://openalex.org/I900890020"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7688,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.71581939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"226","last_page":"237"},"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/T12676","display_name":"Machine Learning and ELM","score":0.9902999997138977,"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/T10057","display_name":"Face and Expression Recognition","score":0.974399983882904,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7297145128250122},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.7284318804740906},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7107717990875244},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7032465934753418},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5757368803024292},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.559256911277771},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.5111013054847717},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5060974955558777},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4944732189178467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36679375171661377},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3406190872192383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25899016857147217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07511535286903381}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7297145128250122},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.7284318804740906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7107717990875244},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7032465934753418},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5757368803024292},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.559256911277771},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.5111013054847717},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5060974955558777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4944732189178467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36679375171661377},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3406190872192383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25899016857147217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07511535286903381},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-46238-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46238-4_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W242367498","https://openalex.org/W2009323003","https://openalex.org/W2010210853","https://openalex.org/W2043382734","https://openalex.org/W2091886411","https://openalex.org/W2095701484","https://openalex.org/W2105287172","https://openalex.org/W2137983211","https://openalex.org/W2169359910","https://openalex.org/W2301676159","https://openalex.org/W2325583125","https://openalex.org/W2993421702","https://openalex.org/W3146803896","https://openalex.org/W4240861491","https://openalex.org/W4250227082"],"related_works":["https://openalex.org/W3024979424","https://openalex.org/W4283785902","https://openalex.org/W2895192346","https://openalex.org/W3032499992","https://openalex.org/W2041004593","https://openalex.org/W3134817226","https://openalex.org/W3110577345","https://openalex.org/W3136579697","https://openalex.org/W2811324119","https://openalex.org/W4385451479"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
