{"id":"https://openalex.org/W4285682802","doi":"https://doi.org/10.1016/j.neunet.2022.06.031","title":"Convergence of deep convolutional neural networks","display_name":"Convergence of deep convolutional neural networks","publication_year":2022,"publication_date":"2022-06-29","ids":{"openalex":"https://openalex.org/W4285682802","doi":"https://doi.org/10.1016/j.neunet.2022.06.031","pmid":"https://pubmed.ncbi.nlm.nih.gov/35839599"},"language":"en","primary_location":{"id":"doi:10.1016/j.neunet.2022.06.031","doi":"https://doi.org/10.1016/j.neunet.2022.06.031","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.neunet.2022.06.031","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-b","cwts-core","dongbi-b","doyens","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.neunet.2022.06.031","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087","observed_orcids":["https://orcid.org/0000-0003-3965-3087"]},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Department of Mathematics & Statistics, Old Dominion University, Norfolk, VA 23529, USA. Electronic address: y1xu@odu.edu","Department of Mathematics & Statistics, Old Dominion University, Norfolk, VA 23529, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, Old Dominion University, Norfolk, VA 23529, USA. Electronic address: y1xu@odu.edu","institution_ids":["https://openalex.org/I81365321"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, Old Dominion University, Norfolk, VA 23529, USA","institution_ids":["https://openalex.org/I81365321"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023682610","display_name":"Haizhang Zhang","orcid":"https://orcid.org/0000-0002-8241-3145","observed_orcids":["https://orcid.org/0000-0002-8241-3145"]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haizhang Zhang","raw_affiliation_strings":["School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, PR China. Electronic address: zhhaizh2@sysu.edu.cn","School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, PR China"],"raw_orcid":"https://orcid.org/0000-0002-8241-3145","affiliations":[{"raw_affiliation_string":"School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, PR China. Electronic address: zhhaizh2@sysu.edu.cn","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, PR China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023682610"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":null,"fwci":3.6135,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.9462598,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"153","issue":null,"first_page":"553","last_page":"563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9458000063896179,"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":0.9458000063896179,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.03779999911785126,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.005400000140070915,"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/infinite-width-neural-networks","display_name":"infinite-width neural networks","score":0.6259999871253967},{"id":"https://openalex.org/keywords/relu-neural-networks","display_name":"ReLU networks","score":0.6779999732971191},{"id":"https://openalex.org/keywords/convolutional-neural-networks","display_name":"convolutional neural networks","score":0.9639999866485596},{"id":"https://openalex.org/keywords/pointwise-convergence","display_name":"pointwise convergence","score":0.9549999833106995},{"id":"https://openalex.org/keywords/sufficient-conditions-for-convergence","display_name":"sufficient conditions for convergence","score":0.5019999742507935}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7755879163742065},{"id":"https://openalex.org/C27156116","wikidata":"https://www.wikidata.org/wiki/Q1778098","display_name":"Pointwise convergence","level":3,"score":0.7726707458496094},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7551693320274353},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.7125338315963745},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.6608160734176636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5766858458518982},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5657926797866821},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.5317206382751465},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4349684417247772},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4234715402126312},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4110676944255829},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3958975672721863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35669150948524475},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.15860480070114136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1143609881401062},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1016/j.neunet.2022.06.031","doi":"https://doi.org/10.1016/j.neunet.2022.06.031","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.neunet.2022.06.031","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-b","cwts-core","dongbi-b","doyens","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Neural Networks","raw_type":"journal-article"},{"id":"pmid:35839599","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35839599","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural networks : the official journal of the International Neural Network Society","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2109.13542","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.13542","pdf_url":"https://arxiv.org/pdf/2109.13542","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2109.13542","doi":"https://doi.org/10.48550/arxiv.2109.13542","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.13542","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.neunet.2022.06.031","doi":"https://doi.org/10.1016/j.neunet.2022.06.031","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.neunet.2022.06.031","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-b","cwts-core","dongbi-b","doyens","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2332028470","display_name":null,"funder_award_id":"11771464","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4870239930","display_name":"Collaborative Research: Sparse Optimization in Large Scale Data  Processing: A Multiscale Proximity Approach","funder_award_id":"1912958","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5371951598","display_name":null,"funder_award_id":"2018A030313841","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G7907012218","display_name":null,"funder_award_id":"11971490","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8092729911","display_name":null,"funder_award_id":"12126610","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321160","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285682802.pdf","grobid_xml":"https://content.openalex.org/works/W4285682802.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1544013721","https://openalex.org/W1582706191","https://openalex.org/W1924935520","https://openalex.org/W1935978687","https://openalex.org/W2021014025","https://openalex.org/W2194775991","https://openalex.org/W2528305538","https://openalex.org/W2550848904","https://openalex.org/W2557283755","https://openalex.org/W2799020113","https://openalex.org/W2886881190","https://openalex.org/W2890080498","https://openalex.org/W2910155483","https://openalex.org/W2919115771","https://openalex.org/W2949883708","https://openalex.org/W2963172624","https://openalex.org/W2963626582","https://openalex.org/W2994632629","https://openalex.org/W3031010353","https://openalex.org/W3039780279","https://openalex.org/W3046650080","https://openalex.org/W3048707547","https://openalex.org/W3082434559","https://openalex.org/W3092054443","https://openalex.org/W3115781672","https://openalex.org/W3121993546","https://openalex.org/W3135609499","https://openalex.org/W3158148831","https://openalex.org/W3160447895","https://openalex.org/W3186605155","https://openalex.org/W4320350810","https://openalex.org/W4387159438","https://openalex.org/W4390321541"],"related_works":["https://openalex.org/W4390321541","https://openalex.org/W4387159438","https://openalex.org/W4320350810","https://openalex.org/W4410358237","https://openalex.org/W4401329610","https://openalex.org/W4320582959","https://openalex.org/W3126674524","https://openalex.org/W4376464924","https://openalex.org/W3124947208","https://openalex.org/W3118500814"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":5}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2022-07-17T00:00:00"}
