{"id":"https://openalex.org/W2892698267","doi":"https://doi.org/10.1007/s00521-018-3748-y","title":"Convergence of a modified gradient-based learning algorithm with penalty for single-hidden-layer feed-forward networks","display_name":"Convergence of a modified gradient-based learning algorithm with penalty for single-hidden-layer feed-forward networks","publication_year":2018,"publication_date":"2018-09-29","ids":{"openalex":"https://openalex.org/W2892698267","doi":"https://doi.org/10.1007/s00521-018-3748-y","mag":"2892698267"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-018-3748-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-018-3748-y","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/A5100696824","display_name":"Jian Wang","orcid":"https://orcid.org/0000-0002-4316-932X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Wang","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100606460","display_name":"Bingjie Zhang","orcid":"https://orcid.org/0000-0003-2885-8087"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingjie Zhang","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022322472","display_name":"Zhaoyang Sang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhaoyang Sang","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045253111","display_name":"Yusong Liu","orcid":"https://orcid.org/0000-0003-4950-6304"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yusong Liu","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109405393","display_name":"Shujun Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shujun Wu","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103628700","display_name":"Quan Miao","orcid":null},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quan Miao","raw_affiliation_strings":["College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao, People\u2019s Republic of China","College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao, Shandong, People\u2019s Republic of China","College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao, Shandong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5022322472"],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6758,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.77944289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"32","issue":"7","first_page":"2445","last_page":"2456"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","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/T12676","display_name":"Machine Learning and ELM","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/T10320","display_name":"Neural Networks and Applications","score":0.9991000294685364,"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/T12169","display_name":"Non-Destructive Testing Techniques","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7714380025863647},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6644042134284973},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5849779844284058},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5473681688308716},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5106616616249084},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4954155683517456},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48813900351524353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48700958490371704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4753653407096863},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45296621322631836},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41712379455566406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12619149684906006},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07818824052810669}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7714380025863647},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6644042134284973},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5849779844284058},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5473681688308716},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5106616616249084},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4954155683517456},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48813900351524353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48700958490371704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4753653407096863},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45296621322631836},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41712379455566406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12619149684906006},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07818824052810669},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/s00521-018-3748-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-018-3748-y","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":[{"id":"https://metadata.un.org/sdg/10","score":0.49000000953674316,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1116876201","display_name":null,"funder_award_id":"ZR2015AL014","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G144285783","display_name":null,"funder_award_id":"18CX02036A","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1675457430","display_name":null,"funder_award_id":"15CX08011A","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2765395919","display_name":null,"funder_award_id":"ZR201709220208","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G7746794039","display_name":null,"funder_award_id":"11604181","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8814195952","display_name":null,"funder_award_id":"61305075","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"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1498436455","https://openalex.org/W1554663460","https://openalex.org/W1569759881","https://openalex.org/W1913070780","https://openalex.org/W1965895201","https://openalex.org/W1984530193","https://openalex.org/W1988115241","https://openalex.org/W1990938413","https://openalex.org/W2002984713","https://openalex.org/W2009511046","https://openalex.org/W2026471620","https://openalex.org/W2028069051","https://openalex.org/W2038128936","https://openalex.org/W2040604977","https://openalex.org/W2047028564","https://openalex.org/W2072057046","https://openalex.org/W2072412055","https://openalex.org/W2094265705","https://openalex.org/W2106427050","https://openalex.org/W2111072639","https://openalex.org/W2111719156","https://openalex.org/W2113442785","https://openalex.org/W2114229561","https://openalex.org/W2118496821","https://openalex.org/W2124776405","https://openalex.org/W2134603844","https://openalex.org/W2135046866","https://openalex.org/W2141695047","https://openalex.org/W2145085734","https://openalex.org/W2163572752","https://openalex.org/W2295001676","https://openalex.org/W2471988522","https://openalex.org/W2753635250","https://openalex.org/W2793917469","https://openalex.org/W2799832993","https://openalex.org/W3022436500","https://openalex.org/W3121926921","https://openalex.org/W3125537303","https://openalex.org/W4234173777"],"related_works":["https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2116636209","https://openalex.org/W2053698688","https://openalex.org/W2135652437"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":17},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}