{"id":"https://openalex.org/W4387172051","doi":"https://doi.org/10.3233/faia230568","title":"Normalized Stochastic Heavy Ball with Adaptive Momentum1","display_name":"Normalized Stochastic Heavy Ball with Adaptive Momentum1","publication_year":2023,"publication_date":"2023-09-28","ids":{"openalex":"https://openalex.org/W4387172051","doi":"https://doi.org/10.3233/faia230568"},"language":"en","primary_location":{"id":"doi:10.3233/faia230568","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia230568","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA230568","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA230568","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101700404","display_name":"Ziqing Wen","orcid":"https://orcid.org/0009-0009-1728-7611"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqing Wen","raw_affiliation_strings":["College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019549276","display_name":"Xiaoge Deng","orcid":"https://orcid.org/0000-0003-0622-1202"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoge Deng","raw_affiliation_strings":["College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037318331","display_name":"Tao Sun","orcid":"https://orcid.org/0000-0001-5024-1900"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Sun","raw_affiliation_strings":["College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100440903","display_name":"Dongsheng Li","orcid":"https://orcid.org/0000-0001-9743-2034"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongsheng Li","raw_affiliation_strings":["College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer, National University of Defense Technology. Emails: zqwen@nudt.edu.cn, dengxg@nudt.edu.cn, nudtsuntao@163.com, dsli@nudt.edu.cn","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":null,"apc_paid":null,"fwci":0.4988,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6810256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12535","display_name":"Machine Learning and Data Classification","score":0.9976000189781189,"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/T12535","display_name":"Machine Learning and Data Classification","score":0.9976000189781189,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9865999817848206,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperparameter","display_name":"Hyperparameter","score":0.9354830980300903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6255158185958862},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5409570336341858},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5247259736061096},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.4787273108959198},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4361934959888458},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.43103542923927307},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42994725704193115},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.4242507815361023},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4127192199230194},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3980892300605774},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3374226689338684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26496046781539917}],"concepts":[{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.9354830980300903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6255158185958862},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5409570336341858},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5247259736061096},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4787273108959198},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4361934959888458},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.43103542923927307},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42994725704193115},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.4242507815361023},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4127192199230194},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3980892300605774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3374226689338684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26496046781539917},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia230568","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia230568","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA230568","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia230568","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia230568","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA230568","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3606055544","display_name":null,"funder_award_id":"62025208","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6259247475","display_name":null,"funder_award_id":"2022QNRC001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8464095490","display_name":null,"funder_award_id":"2022JJ10065","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"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/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387172051.pdf"},"referenced_works_count":62,"referenced_works":["https://openalex.org/W27434444","https://openalex.org/W104184427","https://openalex.org/W1522301498","https://openalex.org/W1980412153","https://openalex.org/W1988720110","https://openalex.org/W1992208280","https://openalex.org/W2000462146","https://openalex.org/W2029008056","https://openalex.org/W2045744861","https://openalex.org/W2051434435","https://openalex.org/W2051669046","https://openalex.org/W2072109384","https://openalex.org/W2086161653","https://openalex.org/W2097460613","https://openalex.org/W2108563286","https://openalex.org/W2113651538","https://openalex.org/W2194775991","https://openalex.org/W2414455940","https://openalex.org/W2432717477","https://openalex.org/W2436219157","https://openalex.org/W2496350169","https://openalex.org/W2605488176","https://openalex.org/W2738275598","https://openalex.org/W2788079077","https://openalex.org/W2804448324","https://openalex.org/W2896101215","https://openalex.org/W2898838759","https://openalex.org/W2908510526","https://openalex.org/W2936995161","https://openalex.org/W2954143091","https://openalex.org/W2962811981","https://openalex.org/W2962915600","https://openalex.org/W2963341924","https://openalex.org/W2963433607","https://openalex.org/W2963607709","https://openalex.org/W2963964579","https://openalex.org/W2964102336","https://openalex.org/W2966614174","https://openalex.org/W2970671394","https://openalex.org/W2970948121","https://openalex.org/W2970971581","https://openalex.org/W2975217196","https://openalex.org/W2979580366","https://openalex.org/W2982701380","https://openalex.org/W2994635124","https://openalex.org/W3028642772","https://openalex.org/W3043072433","https://openalex.org/W3089805682","https://openalex.org/W3095319910","https://openalex.org/W3102107953","https://openalex.org/W3108405844","https://openalex.org/W3118608800","https://openalex.org/W3141595720","https://openalex.org/W3162966461","https://openalex.org/W3179101329","https://openalex.org/W3206019668","https://openalex.org/W4205871929","https://openalex.org/W4236796448","https://openalex.org/W4237284205","https://openalex.org/W4285801387","https://openalex.org/W4295312788","https://openalex.org/W6604254268"],"related_works":["https://openalex.org/W4295309597","https://openalex.org/W4323894855","https://openalex.org/W4210794429","https://openalex.org/W4223456145","https://openalex.org/W4309113015","https://openalex.org/W3199608561","https://openalex.org/W4283697347","https://openalex.org/W4225152068","https://openalex.org/W4295681619","https://openalex.org/W3014815208"],"abstract_inverted_index":{"The":[0,119],"heavy":[1,26],"ball":[2,27],"momentum":[3],"technique":[4],"is":[5],"widely":[6],"used":[7],"in":[8,21,36],"accelerating":[9],"the":[10,59,62,68,75,79,125],"machine":[11,112],"learning":[12,113,138],"training":[13,71],"process,":[14],"which":[15],"has":[16],"demonstrated":[17],"significant":[18],"practical":[19,107],"success":[20],"optimization":[22,70],"tasks.":[23,118],"However,":[24],"most":[25],"methods":[28,130],"require":[29],"a":[30,40,85],"preset":[31],"hyperparameter":[32,43,80],"that":[33,92,123],"will":[34],"result":[35],"excessive":[37],"tuning,":[38],"and":[39,81,140],"calibrated":[41],"fixed":[42],"may":[44],"not":[45],"lead":[46],"to":[47,73,136],"optimal":[48],"performance.":[49],"In":[50,102],"this":[51],"paper,":[52],"we":[53,104],"propose":[54],"an":[55],"adaptive":[56,95],"criterion":[57],"for":[58,77,84,99,115],"choice":[60],"of":[61],"normalized":[63],"momentum-related":[64],"hyperparameter,":[65],"motivated":[66],"by":[67],"quadratic":[69],"problem,":[72],"eliminate":[74],"adverse":[76],"tuning":[78],"thus":[82],"allow":[83],"computationally":[86],"efficient":[87],"optimizer.":[88],"We":[89],"theoretically":[90],"prove":[91],"our":[93,128],"proposed":[94,129],"method":[96],"promises":[97],"convergence":[98],"L-Lipschitz":[100],"functions.":[101],"addition,":[103],"verify":[105],"its":[106],"efficiency":[108],"on":[109],"existing":[110],"extensive":[111],"benchmarks":[114],"image":[116],"classification":[117],"numerical":[120],"results":[121],"show":[122],"besides":[124],"speed":[126],"improvement,":[127],"enjoy":[131],"advantages,":[132],"including":[133],"more":[134],"robust":[135],"large":[137],"rates":[139],"better":[141],"generalization.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
