{"id":"https://openalex.org/W4407634300","doi":"https://doi.org/10.1007/s10589-025-00664-1","title":"Spectral stochastic gradient method with additional sampling for finite and infinite sums","display_name":"Spectral stochastic gradient method with additional sampling for finite and infinite sums","publication_year":2025,"publication_date":"2025-02-17","ids":{"openalex":"https://openalex.org/W4407634300","doi":"https://doi.org/10.1007/s10589-025-00664-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-025-00664-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00664-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00664-1.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00664-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023718232","display_name":"Nata\u0161a Krklec Jerinki\u0107","orcid":"https://orcid.org/0000-0001-5195-9295"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Nata\u0161a Krklec Jerinki\u0107","raw_affiliation_strings":["Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, Novi Sad, 21000, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, Novi Sad, 21000, Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078259795","display_name":"Valeria Ruggiero","orcid":"https://orcid.org/0000-0001-5885-1703"},"institutions":[{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valeria Ruggiero","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Ferrara, Via Machiavelli 30, 44121, Ferrara, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Ferrara, Via Machiavelli 30, 44121, Ferrara, Italy","institution_ids":["https://openalex.org/I201324441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013320390","display_name":"Ilaria Trombini","orcid":"https://orcid.org/0000-0001-5737-1679"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]},{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ilaria Trombini","raw_affiliation_strings":["Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze, 7/A, 43124, Parma, Italy","Department of Mathematics and Computer Science, University of Ferrara, Via Machiavelli 30, 44121, Ferrara, Italy"],"raw_orcid":"https://orcid.org/0000-0001-5737-1679","affiliations":[{"raw_affiliation_string":"Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze, 7/A, 43124, Parma, Italy","institution_ids":["https://openalex.org/I124601658"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Ferrara, Via Machiavelli 30, 44121, Ferrara, Italy","institution_ids":["https://openalex.org/I201324441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023718232"],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":4.7761,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.9383448,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"91","issue":"2","first_page":"717","last_page":"758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9991999864578247,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8718830943107605},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.509840190410614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44190043210983276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37935370206832886}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8718830943107605},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.509840190410614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44190043210983276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37935370206832886},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-025-00664-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00664-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00664-1.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:91:y:2025:i:2:d:10.1007_s10589-025-00664-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-025-00664-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:sfera.unife.it:11392/2583830","is_oa":true,"landing_page_url":"https://hdl.handle.net/11392/2583830","pdf_url":null,"source":{"id":"https://openalex.org/S4306400369","display_name":"Institutional Research Information System University of Ferrara (University of Ferrara)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201324441","host_organization_name":"University of Ferrara","host_organization_lineage":["https://openalex.org/I201324441"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10589-025-00664-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00664-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00664-1.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4508289328","display_name":null,"funder_award_id":"PE00000013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320324162","display_name":"Universit\u00e0 degli Studi di Ferrara","ror":"https://ror.org/041zkgm14"},{"id":"https://openalex.org/F4320329307","display_name":"Science Fund of the Republic of Serbia","ror":null},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407634300.pdf","grobid_xml":"https://content.openalex.org/works/W4407634300.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1498636830","https://openalex.org/W1546266651","https://openalex.org/W1973734200","https://openalex.org/W1982067912","https://openalex.org/W2004461831","https://openalex.org/W2012341322","https://openalex.org/W2029633462","https://openalex.org/W2043430160","https://openalex.org/W2076605490","https://openalex.org/W2152793312","https://openalex.org/W2329996474","https://openalex.org/W2911293880","https://openalex.org/W2911303106","https://openalex.org/W2963312217","https://openalex.org/W2963433607","https://openalex.org/W3170011685","https://openalex.org/W3216569558","https://openalex.org/W4247165901","https://openalex.org/W4298110506","https://openalex.org/W4399212780","https://openalex.org/W4405218343"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,24],"paper,":[3],"we":[4,183],"propose":[5,19],"a":[6,20,53,121],"new":[7],"stochastic":[8,90],"gradient":[9,79],"method":[10,25,49,83,149,218],"for":[11,71,105,157,164,171,196,213],"numerical":[12],"minimization":[13],"of":[14,23,45,59,67,101,132,203],"finite":[15,166],"sums.":[16],"We":[17],"also":[18,119,140],"modified":[21],"version":[22],"applicable":[26],"on":[27,52,193,215],"more":[28],"general":[29,172],"problems":[30],"referred":[31],"to":[32,55,209],"as":[33],"infinite":[34,168],"sum":[35,169],"problems,":[36],"where":[37],"the":[38,43,57,60,73,77,85,89,94,102,109,125,130,136,148,154,165,179,204,207,217],"objective":[39,103,176],"function":[40,104],"is":[41,50,112,139],"in":[42,76,123],"form":[44],"mathematical":[46],"expectation.":[47],"The":[48,81],"based":[51],"strategy":[54,87],"exploit":[56],"effectiveness":[58],"well-known":[61,194],"Barzilai\u2013Borwein":[62],"(BB)":[63],"rules":[64,70],"or":[65],"variants":[66],"these":[68],"(BB-like)":[69],"updating":[72],"step":[74],"length":[75],"standard":[78],"method.":[80],"proposed":[82,126],"adapts":[84],"aforementioned":[86],"into":[88],"framework":[91],"by":[92,114,142],"exploiting":[93],"same":[95,137,155],"Sample":[96],"Average":[97],"Approximations":[98],"(SAA)":[99],"estimator":[100,156],"several":[106],"iterations.":[107],"Furthermore,":[108],"sample":[110,138],"size":[111],"controlled":[113,141],"an":[115,143],"additional":[116],"sampling":[117],"which":[118,146,216],"plays":[120],"role":[122],"accepting":[124],"iterate":[127],"point.":[128],"Moreover,":[129],"number":[131],"\u201cinner\u201d":[133],"iterations":[134],"with":[135,153],"adaptive":[144],"rule":[145],"prevents":[147],"from":[150],"getting":[151],"stuck":[152],"too":[158],"long.":[159],"Convergence":[160],"results":[161],"are":[162],"discussed":[163],"and":[167,173,187],"version,":[170],"strongly":[174,180],"convex":[175,181],"functions.":[177],"For":[178],"case,":[182],"provide":[184,210],"convergence":[185],"rate":[186],"worst-case":[188],"complexity":[189],"analysis.":[190],"Numerical":[191],"experiments":[192],"datasets":[195],"binary":[197],"classifications":[198],"show":[199],"very":[200],"promising":[201],"performance":[202],"method,":[205],"without":[206],"need":[208],"special":[211],"values":[212],"hyperparameters":[214],"depends.":[219]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-03-12T06:13:28.667946","created_date":"2025-02-18T00:00:00"}