{"id":"https://openalex.org/W3212674857","doi":"https://doi.org/10.1155/2021/9882068","title":"An Adaptive Deep Learning Optimization Method Based on Radius of Curvature","display_name":"An Adaptive Deep Learning Optimization Method Based on Radius of Curvature","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3212674857","doi":"https://doi.org/10.1155/2021/9882068","mag":"3212674857","pmid":"https://pubmed.ncbi.nlm.nih.gov/34804152"},"language":"en","primary_location":{"id":"doi:10.1155/2021/9882068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9882068","pdf_url":"https://downloads.hindawi.com/journals/cin/2021/9882068.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/cin/2021/9882068.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100383588","display_name":"Jiahui Zhang","orcid":"https://orcid.org/0000-0001-8357-0110"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiahui Zhang","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China"],"raw_orcid":"https://orcid.org/0000-0001-8357-0110","affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077505315","display_name":"Xinhao Yang","orcid":"https://orcid.org/0000-0002-0873-4514"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinhao Yang","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China"],"raw_orcid":"https://orcid.org/0000-0002-0873-4514","affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365681","display_name":"Ke Zhang","orcid":"https://orcid.org/0000-0001-6240-5925"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Zhang","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China"],"raw_orcid":"https://orcid.org/0000-0001-6240-5925","affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067293735","display_name":"Chenrui Wen","orcid":null},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenrui Wen","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215006, China","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077505315"],"corresponding_institution_ids":["https://openalex.org/I3923682"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14071941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2021","issue":"1","first_page":"9882068","last_page":"9882068"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.972100019454956,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.972100019454956,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9713000059127808,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/curvature","display_name":"Curvature","score":0.718304455280304},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6193453669548035},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6174878478050232},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5983355641365051},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.5720759630203247},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.5442734360694885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5390073657035828},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5297856330871582},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4784669578075409},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4385078549385071},{"id":"https://openalex.org/keywords/radius-of-curvature","display_name":"Radius of curvature","score":0.4196595549583435},{"id":"https://openalex.org/keywords/radius-of-convergence","display_name":"Radius of convergence","score":0.4146803319454193},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.41137203574180603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3254412114620209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29317817091941833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28214576840400696},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.22341066598892212},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17236670851707458},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1388404667377472},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1138673722743988},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.06564897298812866}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.718304455280304},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6193453669548035},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6174878478050232},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5983355641365051},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5720759630203247},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.5442734360694885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5390073657035828},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5297856330871582},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4784669578075409},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4385078549385071},{"id":"https://openalex.org/C11665553","wikidata":"https://www.wikidata.org/wiki/Q1136069","display_name":"Radius of curvature","level":5,"score":0.4196595549583435},{"id":"https://openalex.org/C155568369","wikidata":"https://www.wikidata.org/wiki/Q1428097","display_name":"Radius of convergence","level":3,"score":0.4146803319454193},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.41137203574180603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3254412114620209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29317817091941833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28214576840400696},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.22341066598892212},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17236670851707458},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1388404667377472},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1138673722743988},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.06564897298812866},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011884","descriptor_name":"Radius","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011884","descriptor_name":"Radius","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011884","descriptor_name":"Radius","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1155/2021/9882068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9882068","pdf_url":"https://downloads.hindawi.com/journals/cin/2021/9882068.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},{"id":"pmid:34804152","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34804152","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,"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":"Computational intelligence and neuroscience","raw_type":null},{"id":"pmh:oai:doaj.org/article:acab22f5e532433c807e6c5f9bb9d3fc","is_oa":true,"landing_page_url":"https://doaj.org/article/acab22f5e532433c807e6c5f9bb9d3fc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Intelligence and Neuroscience, Vol 2021 (2021)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8598332","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8598332","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Comput Intell Neurosci","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1155/2021/9882068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9882068","pdf_url":"https://downloads.hindawi.com/journals/cin/2021/9882068.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4080162666","display_name":null,"funder_award_id":"61971297","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3212674857.pdf","grobid_xml":"https://content.openalex.org/works/W3212674857.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W104184427","https://openalex.org/W639708223","https://openalex.org/W1522301498","https://openalex.org/W1552300625","https://openalex.org/W2026258334","https://openalex.org/W2096733369","https://openalex.org/W2112796928","https://openalex.org/W2146502635","https://openalex.org/W2194775991","https://openalex.org/W2523246573","https://openalex.org/W2564807118","https://openalex.org/W2619516334","https://openalex.org/W2625885504","https://openalex.org/W2788190072","https://openalex.org/W2798391154","https://openalex.org/W2936995161","https://openalex.org/W2963446712","https://openalex.org/W2963562522","https://openalex.org/W3003534552","https://openalex.org/W3035386872","https://openalex.org/W3099206234","https://openalex.org/W3118608800","https://openalex.org/W4288265053","https://openalex.org/W4293765466","https://openalex.org/W6631190155"],"related_works":["https://openalex.org/W2359656545","https://openalex.org/W2093430124","https://openalex.org/W1530517392","https://openalex.org/W2897838887","https://openalex.org/W2059145352","https://openalex.org/W2004735650","https://openalex.org/W3133545257","https://openalex.org/W3090423162","https://openalex.org/W2162941631","https://openalex.org/W2008205714"],"abstract_inverted_index":{"An":[0],"adaptive":[1],"clamping":[2],"method":[3,83],"(SGD-MS)":[4],"based":[5],"on":[6,65,89],"the":[7,15,26,31,35,39,48,52,56,77,82,94,99,107],"radius":[8,27,42],"of":[9,28,30,38,43,84],"curvature":[10,29,44],"is":[11,45,117],"designed":[12],"to":[13,50],"alleviate":[14,98],"local":[16,100],"optimal":[17,101],"oscillation":[18,102],"problem":[19,103],"in":[20,120],"deep":[21,124],"neural":[22,125],"network,":[23],"which":[24,74],"combines":[25],"objective":[32],"function":[33],"and":[34,104,110],"gradient":[36,58],"descent":[37],"optimizer.":[40],"The":[41],"considered":[46],"as":[47],"threshold":[49],"separate":[51],"momentum":[53],"term":[54,61],"or":[55],"future":[57],"moving":[59],"average":[60],"adaptively.":[62],"In":[63],"addition,":[64],"this":[66,121],"basis,":[67],"we":[68],"propose":[69],"an":[70],"accelerated":[71],"version":[72],"(SGD-MA),":[73],"further":[75],"improves":[76],"convergence":[78,108],"speed":[79,109],"by":[80],"using":[81],"aggregated":[85],"momentum.":[86],"Experimental":[87],"results":[88],"several":[90],"datasets":[91],"show":[92],"that":[93],"proposed":[95],"methods":[96],"effectively":[97],"greatly":[105],"improve":[106],"accuracy.":[111],"A":[112],"novel":[113],"parameter":[114],"updating":[115],"algorithm":[116],"also":[118],"provided":[119],"paper":[122],"for":[123],"network.":[126]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
