{"id":"https://openalex.org/W4406402946","doi":"https://doi.org/10.1007/s00521-024-10935-3","title":"Constructing a smoothed Leaky ReLU using a linear combination of the smoothed ReLU and identity function","display_name":"Constructing a smoothed Leaky ReLU using a linear combination of the smoothed ReLU and identity function","publication_year":2025,"publication_date":"2025-01-15","ids":{"openalex":"https://openalex.org/W4406402946","doi":"https://doi.org/10.1007/s00521-024-10935-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-024-10935-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-024-10935-3","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-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/A5101581665","display_name":"Meng Zhu","orcid":"https://orcid.org/0000-0002-4900-8973"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Meng Zhu","raw_affiliation_strings":["School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046155722","display_name":"Weidong Min","orcid":"https://orcid.org/0000-0003-2526-2181"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]},{"id":"https://openalex.org/I4210140166","display_name":"Education Department of Jiangxi Province","ror":"https://ror.org/04d8xwh61","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210140166"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weidong Min","raw_affiliation_strings":["Institute of Metaverse, Nanchang University, Nanchang, 330031, China","Jiangxi Provincial Key Laboratory of Virtual Reality, Nanchang, 330031, China","School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China"],"affiliations":[{"raw_affiliation_string":"Institute of Metaverse, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Jiangxi Provincial Key Laboratory of Virtual Reality, Nanchang, 330031, China","institution_ids":["https://openalex.org/I4210140166"]},{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100328397","display_name":"Jiahao Li","orcid":"https://orcid.org/0009-0006-7253-322X"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiahao Li","raw_affiliation_strings":["School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101829647","display_name":"Mengxue Liu","orcid":"https://orcid.org/0000-0002-2321-2669"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengxue Liu","raw_affiliation_strings":["School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005800366","display_name":"Ziyang Deng","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziyang Deng","raw_affiliation_strings":["School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100447017","display_name":"Yao Zhang","orcid":"https://orcid.org/0000-0003-4007-8307"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Zhang","raw_affiliation_strings":["School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanchang University, Nanchang, 330031, China","institution_ids":["https://openalex.org/I141649914"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5101581665"],"corresponding_institution_ids":["https://openalex.org/I141649914"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3668,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77265663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"37","issue":"9","first_page":"6465","last_page":"6478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.9998000264167786,"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/T10812","display_name":"Human Pose and Action Recognition","score":0.9970999956130981,"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/T12535","display_name":"Machine Learning and Data Classification","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"}}],"keywords":[{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.7038804888725281},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7010772824287415},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.6716274619102478},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.6532729268074036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6309125423431396},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.519980251789093},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.511947512626648},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.499042272567749},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.48730361461639404},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48024633526802063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.369229793548584},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.34352946281433105},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33162689208984375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32169264554977417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1270216405391693},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06729313731193542}],"concepts":[{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.7038804888725281},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7010772824287415},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.6716274619102478},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.6532729268074036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6309125423431396},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.519980251789093},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.511947512626648},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.499042272567749},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.48730361461639404},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48024633526802063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.369229793548584},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.34352946281433105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33162689208984375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32169264554977417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1270216405391693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06729313731193542},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-024-10935-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-024-10935-3","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1191276245","display_name":null,"funder_award_id":"62076117","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1572063013","https://openalex.org/W1677182931","https://openalex.org/W1901129140","https://openalex.org/W1994616650","https://openalex.org/W2009797711","https://openalex.org/W2147800946","https://openalex.org/W2249316248","https://openalex.org/W2340897893","https://openalex.org/W2546302380","https://openalex.org/W2769852551","https://openalex.org/W2914393402","https://openalex.org/W2957705111","https://openalex.org/W2962834855","https://openalex.org/W2963568027","https://openalex.org/W2964055987","https://openalex.org/W2981052729","https://openalex.org/W2982083293","https://openalex.org/W3013965793","https://openalex.org/W3016108562","https://openalex.org/W3034429256","https://openalex.org/W3112352841","https://openalex.org/W3174889011","https://openalex.org/W3203082254","https://openalex.org/W4211198594","https://openalex.org/W4282929256","https://openalex.org/W4312569396","https://openalex.org/W4319235394","https://openalex.org/W4323543692","https://openalex.org/W4366966749","https://openalex.org/W4387097656","https://openalex.org/W6607167723"],"related_works":["https://openalex.org/W2806426850","https://openalex.org/W4297795098","https://openalex.org/W4313559025","https://openalex.org/W2138382551","https://openalex.org/W2007295947","https://openalex.org/W2040708657","https://openalex.org/W3136275618","https://openalex.org/W2907792518","https://openalex.org/W2133545078","https://openalex.org/W2096285364"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
