{"id":"https://openalex.org/W3093726209","doi":"https://doi.org/10.1007/s11063-020-10374-w","title":"Convergence of Batch Gradient Method Based on the Entropy Error Function for Feedforward Neural Networks","display_name":"Convergence of Batch Gradient Method Based on the Entropy Error Function for Feedforward Neural Networks","publication_year":2020,"publication_date":"2020-10-23","ids":{"openalex":"https://openalex.org/W3093726209","doi":"https://doi.org/10.1007/s11063-020-10374-w","mag":"3093726209"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-020-10374-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-020-10374-w","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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 Processing Letters","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/A5100735356","display_name":"Yan Xiong","orcid":"https://orcid.org/0000-0002-9072-6248"},"institutions":[{"id":"https://openalex.org/I114117164","display_name":"University of Science and Technology Liaoning","ror":"https://ror.org/03grx7119","country_code":"CN","type":"education","lineage":["https://openalex.org/I114117164"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Xiong","raw_affiliation_strings":["Faculty of Science, University of Science and Technology Liaoning, 114051, Anshan, China"],"raw_orcid":"https://orcid.org/0000-0002-9072-6248","affiliations":[{"raw_affiliation_string":"Faculty of Science, University of Science and Technology Liaoning, 114051, Anshan, China","institution_ids":["https://openalex.org/I114117164"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014476056","display_name":"Xin Tong","orcid":"https://orcid.org/0000-0002-5544-1925"},"institutions":[{"id":"https://openalex.org/I4210095020","display_name":"Yingkou Institute of Technology","ror":"https://ror.org/00se3rd97","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210095020"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Tong","raw_affiliation_strings":["Yingkou Institute of Technology, 115001, Yingkou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yingkou Institute of Technology, 115001, Yingkou, China","institution_ids":["https://openalex.org/I4210095020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100735356"],"corresponding_institution_ids":["https://openalex.org/I114117164"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5215,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7348934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":"3","first_page":"2687","last_page":"2695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9988999962806702,"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":0.9988999962806702,"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/T13579","display_name":"Image and Video Stabilization","score":0.9940999746322632,"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/T14158","display_name":"Optical Systems and Laser Technology","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/artificial-neural-network","display_name":"Artificial neural network","score":0.7610169649124146},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.7251824736595154},{"id":"https://openalex.org/keywords/error-function","display_name":"Error function","score":0.6388968825340271},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6336427330970764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5689306855201721},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.5510585308074951},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.49145686626434326},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4675865173339844},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4587768018245697},{"id":"https://openalex.org/keywords/backpropagation","display_name":"Backpropagation","score":0.4495052099227905},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.42311346530914307},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.41898638010025024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41587939858436584},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41447964310646057},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.4112769067287445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3854060769081116},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3390165865421295},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3045005798339844},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1466415524482727},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.1441962718963623},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06056061387062073}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7610169649124146},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.7251824736595154},{"id":"https://openalex.org/C202286095","wikidata":"https://www.wikidata.org/wiki/Q579262","display_name":"Error function","level":2,"score":0.6388968825340271},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6336427330970764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5689306855201721},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.5510585308074951},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.49145686626434326},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4675865173339844},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4587768018245697},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.4495052099227905},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.42311346530914307},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.41898638010025024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41587939858436584},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41447964310646057},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.4112769067287445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3854060769081116},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3390165865421295},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3045005798339844},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1466415524482727},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.1441962718963623},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06056061387062073},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-020-10374-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-020-10374-w","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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 Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W2018549926","https://openalex.org/W2068615024","https://openalex.org/W2092711167","https://openalex.org/W2104251860","https://openalex.org/W2124270185","https://openalex.org/W2466372211","https://openalex.org/W2471988522","https://openalex.org/W2546700349","https://openalex.org/W2593946895","https://openalex.org/W2800373283","https://openalex.org/W2806367133","https://openalex.org/W2811153427","https://openalex.org/W2901770566","https://openalex.org/W2902808043","https://openalex.org/W2973777195","https://openalex.org/W2982049629","https://openalex.org/W3000514729","https://openalex.org/W3011054152","https://openalex.org/W3022960970","https://openalex.org/W3029380435","https://openalex.org/W3120740533","https://openalex.org/W4241691819"],"related_works":["https://openalex.org/W2998088892","https://openalex.org/W2014323024","https://openalex.org/W1943918598","https://openalex.org/W2971145620","https://openalex.org/W2540179461","https://openalex.org/W2096285364","https://openalex.org/W2088798842","https://openalex.org/W2133890039","https://openalex.org/W2086501033","https://openalex.org/W2185948460"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}