{"id":"https://openalex.org/W2129204578","doi":"https://doi.org/10.1007/978-3-540-45216-4_9","title":"Generalized Splitting 2D Flexible Activation Function","display_name":"Generalized Splitting 2D Flexible Activation Function","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2129204578","doi":"https://doi.org/10.1007/978-3-540-45216-4_9","mag":"2129204578"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45216-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45216-4_9","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/A5062815623","display_name":"Francesca Vitagliano","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesca Vitagliano","raw_affiliation_strings":["INFOCOM Dept, University of Rome \u201cLa Sapienza\u201d, Via Eudossiana 18, I-00184, Rome, Italy","INFOCOM Dept, University of Rome \"La Sapienza\", Via Eudossiana 18, I-00184, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"INFOCOM Dept, University of Rome \u201cLa Sapienza\u201d, Via Eudossiana 18, I-00184, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"INFOCOM Dept, University of Rome \"La Sapienza\", Via Eudossiana 18, I-00184, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090987990","display_name":"Raffaele Parisi","orcid":"https://orcid.org/0000-0002-6062-0274"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele Parisi","raw_affiliation_strings":["INFOCOM Dept, University of Rome \u201cLa Sapienza\u201d, Via Eudossiana 18, I-00184, Rome, Italy","INFOCOM Dept, University of Rome \"La Sapienza\", Via Eudossiana 18, I-00184, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"INFOCOM Dept, University of Rome \u201cLa Sapienza\u201d, Via Eudossiana 18, I-00184, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"INFOCOM Dept, University of Rome \"La Sapienza\", Via Eudossiana 18, I-00184, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039283820","display_name":"Aurelio Uncini","orcid":"https://orcid.org/0000-0002-5793-0917"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Aurelio Uncini","raw_affiliation_strings":["INFOCOM Dept, University of Rome \u201cLa Sapienza\u201d, Via Eudossiana 18, I-00184, Rome, Italy","INFOCOM Dept, University of Rome \"La Sapienza\", Via Eudossiana 18, I-00184, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"INFOCOM Dept, University of Rome \u201cLa Sapienza\u201d, Via Eudossiana 18, I-00184, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"INFOCOM Dept, University of Rome \"La Sapienza\", Via Eudossiana 18, I-00184, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062815623"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.276,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58172474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"85","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8101638555526733},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7020229697227478},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.5987436771392822},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5638846158981323},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.5542812943458557},{"id":"https://openalex.org/keywords/complex-valued-function","display_name":"Complex-valued function","score":0.5391853451728821},{"id":"https://openalex.org/keywords/analytic-signal","display_name":"Analytic signal","score":0.4677591025829315},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4649468958377838},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4600536525249481},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45825138688087463},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4544844627380371},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4493173658847809},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4299517273902893},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41206222772598267},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38049569725990295},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.375337690114975},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.3666980564594269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3646891713142395},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34195476770401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32529696822166443},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.24642229080200195},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21216025948524475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09578654170036316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08880579471588135}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8101638555526733},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7020229697227478},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.5987436771392822},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5638846158981323},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.5542812943458557},{"id":"https://openalex.org/C107837686","wikidata":"https://www.wikidata.org/wiki/Q193756","display_name":"Complex-valued function","level":3,"score":0.5391853451728821},{"id":"https://openalex.org/C94727143","wikidata":"https://www.wikidata.org/wiki/Q485394","display_name":"Analytic signal","level":4,"score":0.4677591025829315},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4649468958377838},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4600536525249481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45825138688087463},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4544844627380371},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4493173658847809},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4299517273902893},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41206222772598267},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38049569725990295},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.375337690114975},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3666980564594269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3646891713142395},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34195476770401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32529696822166443},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.24642229080200195},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21216025948524475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09578654170036316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08880579471588135},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":3,"locations":[{"id":"doi:10.1007/978-3-540-45216-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45216-4_9","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.299.9802","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.9802","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.uncini.com/research_activity/pdf/113_WIRN2003_Generalized Splitting 2D Flexible Activation Function.pdf","raw_type":"text"},{"id":"pmh:oai:iris.uniroma1.it:11573/248125","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/248125","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W45384418","https://openalex.org/W1594563152","https://openalex.org/W1896298289","https://openalex.org/W1974778413","https://openalex.org/W1979960439","https://openalex.org/W2027197837","https://openalex.org/W2029716283","https://openalex.org/W2041182600","https://openalex.org/W2048446345","https://openalex.org/W2058399474","https://openalex.org/W2064534757","https://openalex.org/W2117129090","https://openalex.org/W2124776405","https://openalex.org/W2128585141","https://openalex.org/W2135858797","https://openalex.org/W2153796359","https://openalex.org/W2285257517","https://openalex.org/W2798333393","https://openalex.org/W2913817822"],"related_works":["https://openalex.org/W4387319821","https://openalex.org/W4299522098","https://openalex.org/W2994244880","https://openalex.org/W991278140","https://openalex.org/W2946269737","https://openalex.org/W4241314211","https://openalex.org/W2749095681","https://openalex.org/W2605998491","https://openalex.org/W3015755628","https://openalex.org/W3128937944"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
