{"id":"https://openalex.org/W4406259383","doi":"https://doi.org/10.1109/tpami.2025.3528193","title":"Adaptive Biased Stochastic Optimization","display_name":"Adaptive Biased Stochastic Optimization","publication_year":2025,"publication_date":"2025-01-10","ids":{"openalex":"https://openalex.org/W4406259383","doi":"https://doi.org/10.1109/tpami.2025.3528193","pmid":"https://pubmed.ncbi.nlm.nih.gov/40030983"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2025.3528193","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3528193","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5000518767","display_name":"Zhuang Yang","orcid":"https://orcid.org/0000-0002-8374-2928"},"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":"Zhuang Yang","raw_affiliation_strings":["School of Computer Science and Technology, Soochow University, Suzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8374-2928","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Soochow University, Suzhou, China","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000518767"],"corresponding_institution_ids":["https://openalex.org/I3923682"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":5.6225,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.95012282,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"47","issue":"4","first_page":"3067","last_page":"3078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.996999979019165,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.996999979019165,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9858999848365784,"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"}},{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9526000022888184,"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/computer-science","display_name":"Computer science","score":0.6527953743934631},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6103647947311401},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5727034211158752},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5192482471466064},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.515042781829834},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4403691291809082},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4205824136734009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24540171027183533},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14139816164970398}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6527953743934631},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6103647947311401},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5727034211158752},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5192482471466064},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.515042781829834},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4403691291809082},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4205824136734009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24540171027183533},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14139816164970398},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tpami.2025.3528193","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3528193","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:40030983","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40030983","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":"IEEE transactions on pattern analysis and machine intelligence","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2991437012","display_name":null,"funder_award_id":"62302325","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W188180942","https://openalex.org/W1988720110","https://openalex.org/W2012231377","https://openalex.org/W2018215034","https://openalex.org/W2030161963","https://openalex.org/W2091549324","https://openalex.org/W2103628399","https://openalex.org/W2153635508","https://openalex.org/W2765352990","https://openalex.org/W2963470657","https://openalex.org/W2963607709","https://openalex.org/W2963941964","https://openalex.org/W2969401831","https://openalex.org/W3035335410","https://openalex.org/W3037045207","https://openalex.org/W3091424096","https://openalex.org/W3130584495","https://openalex.org/W4255900881","https://openalex.org/W4281619917","https://openalex.org/W4295531553","https://openalex.org/W4315780867","https://openalex.org/W4327569212","https://openalex.org/W4379619247","https://openalex.org/W4385453162","https://openalex.org/W6631190155","https://openalex.org/W6675761068","https://openalex.org/W6680196509","https://openalex.org/W6681435938","https://openalex.org/W6698038680","https://openalex.org/W6734509502","https://openalex.org/W6738155353","https://openalex.org/W6738699237","https://openalex.org/W6740708716","https://openalex.org/W6747620207","https://openalex.org/W6751888367","https://openalex.org/W6751972096","https://openalex.org/W6752458581","https://openalex.org/W6753122105","https://openalex.org/W6754383117","https://openalex.org/W6755977018","https://openalex.org/W6757817989","https://openalex.org/W6759119893","https://openalex.org/W6762819967","https://openalex.org/W6765940612","https://openalex.org/W6766675349","https://openalex.org/W6766923583","https://openalex.org/W6767560732","https://openalex.org/W6768015826","https://openalex.org/W6774070715","https://openalex.org/W6781810711","https://openalex.org/W6786555244"],"related_works":["https://openalex.org/W2544771389","https://openalex.org/W2034060070","https://openalex.org/W4229957265","https://openalex.org/W2386899346","https://openalex.org/W3082608044","https://openalex.org/W2131505227","https://openalex.org/W2375597358","https://openalex.org/W3087397739","https://openalex.org/W3123621400","https://openalex.org/W4388209346"],"abstract_inverted_index":{"This":[0],"work":[1],"develops":[2],"and":[3,46,68,83,133,162],"analyzes":[4],"a":[5,72,126],"class":[6],"of":[7,17,75,142,151,166,178],"adaptive":[8,101],"biased":[9,33,39,102],"stochastic":[10,34,40,48,103,153],"optimization":[11,35],"(ABSO)":[12],"algorithms":[13,77,124,146,170],"from":[14],"the":[15,18,38,47,110,121,140,143,159,163,167],"perspective":[16],"GEneralized":[19],"Adaptive":[20],"gRadient":[21],"(GEAR)":[22],"method":[23],"that":[24,120,139,150],"contains":[25],"Adam,":[26],"AdaGrad,":[27],"RMSProp,":[28],"etc.":[29],"Particularly,":[30],"two":[31,64],"preferred":[32],"(BSO)":[36],"algorithms,":[37],"variance":[41],"reduction":[42],"gradient":[43,50,105],"(BSVRG)":[44],"algorithm":[45,51],"recursive":[49],"(SARAH),":[52],"equipped":[53],"with":[54],"GEAR,":[55],"are":[56],"first":[57],"considered":[58],"in":[59],"this":[60],"work,":[61],"leading":[62],"to":[63,95,149],"ABSO":[65,76,123,145,169],"algorithms:":[66],"BSVRG-GEAR":[67],"SARAH-GEAR.":[69],"We":[70],"present":[71],"uniform":[73],"analysis":[74],"for":[78],"minimizing":[79],"strongly":[80],"convex":[81],"(SC)":[82],"Polyak-\u0141ojasiewicz":[84],"(P\u0141)":[85],"composite":[86],"objective":[87],"functions.":[88],"Second,":[89],"we":[90,118,137,157],"also":[91],"use":[92],"our":[93],"framework":[94],"develop":[96],"another":[97],"novel":[98],"BSO":[99],"algorithm,":[100],"conjugate":[104],"(coined":[106],"BSCG-GEAR),":[107],"which":[108],"achieves":[109],"well-known":[111],"oracle":[112],"complexity.":[113],"Specifically,":[114],"under":[115],"mild":[116],"conditions,":[117],"prove":[119],"resulting":[122,144,168],"attain":[125],"linear":[127],"convergence":[128],"rate":[129],"on":[130,175],"both":[131],"P\u0141":[132],"SC":[134],"cases.":[135],"Moreover,":[136],"show":[138],"complexity":[141],"is":[147],"comparable":[148],"advanced":[152],"gradient-based":[154],"algorithms.":[155],"Finally,":[156],"demonstrate":[158],"empirical":[160],"superiority":[161],"numerical":[164,173],"stability":[165],"by":[171],"conducting":[172],"experiments":[174],"different":[176],"applications":[177],"machine":[179],"learning.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}