{"id":"https://openalex.org/W4416719856","doi":"https://doi.org/10.1007/s10589-025-00741-5","title":"A globally convergent gradient method with momentum","display_name":"A globally convergent gradient method with momentum","publication_year":2025,"publication_date":"2025-11-26","ids":{"openalex":"https://openalex.org/W4416719856","doi":"https://doi.org/10.1007/s10589-025-00741-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-025-00741-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00741-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00741-5.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/s10589-025-00741-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037874811","display_name":"Matteo Lapucci","orcid":"https://orcid.org/0000-0002-2488-5486"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Matteo Lapucci","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy","Dipartimento di Ingegneria dell'Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030824254","display_name":"Giampaolo Liuzzi","orcid":"https://orcid.org/0000-0002-4063-8370"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giampaolo Liuzzi","raw_affiliation_strings":["Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cAntonio Ruberti\u201d, Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","Dipartimento di Ingegneria Informatica, Automatica e Gestionale \"Antonio Ruberti\", Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cAntonio Ruberti\u201d, Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \"Antonio Ruberti\", Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067509935","display_name":"Stefano Lucidi","orcid":"https://orcid.org/0000-0003-4356-7958"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Lucidi","raw_affiliation_strings":["Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cAntonio Ruberti\u201d, Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","Dipartimento di Ingegneria Informatica, Automatica e Gestionale \"Antonio Ruberti\", Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cAntonio Ruberti\u201d, Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \"Antonio Ruberti\", Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003476565","display_name":"Davide Pucci","orcid":"https://orcid.org/0000-0003-4424-9185"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Davide Pucci","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy","Dipartimento di Ingegneria dell'Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione Firenze, Universit\u00e1 di Firenze, Via di Santa Marta 3, 50135, Firenze, FI, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081279718","display_name":"Marco Sciandrone","orcid":"https://orcid.org/0000-0002-5234-3174"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Sciandrone","raw_affiliation_strings":["Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cAntonio Ruberti\u201d, Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","Dipartimento di Ingegneria Informatica, Automatica e Gestionale \"Antonio Ruberti\", Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cAntonio Ruberti\u201d, Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \"Antonio Ruberti\", Sapienza Universit\u00e1 di Roma, Via Ariosto 25, 00185, Roma, RM, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037874811"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.6287,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.91641271,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"93","issue":"2","first_page":"795","last_page":"820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.5561000108718872,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.5561000108718872,"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"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.4088999927043915,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.012900000438094139,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/hessian-matrix","display_name":"Hessian matrix","score":0.8755000233650208},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.7401999831199646},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6990000009536743},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6721000075340271},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.585099995136261},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5582000017166138},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5526999831199646},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.460999995470047},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.45840001106262207},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.3991999924182892}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8755000233650208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8446000218391418},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.7401999831199646},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6990000009536743},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6721000075340271},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.585099995136261},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5582000017166138},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5544000267982483},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5526999831199646},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.460999995470047},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.45840001106262207},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42080000042915344},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3991999924182892},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.39239999651908875},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3873000144958496},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.3822000026702881},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.34200000762939453},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3237999975681305},{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.3010999858379364},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.2962000072002411},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.2937999963760376},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.2858000099658966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2847000062465668},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.28110000491142273},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.28029999136924744},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.2768000066280365},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.27549999952316284},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.27219998836517334},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.2606000006198883}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-025-00741-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00741-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00741-5.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:flore.unifi.it:2158/1441612","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1441612","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1763143","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1763143","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"license_id":null,"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/s10589-025-00741-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00741-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00741-5.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":[],"funders":[{"id":"https://openalex.org/F4320322648","display_name":"Universit\u00e0 degli Studi di Firenze","ror":"https://ror.org/04jr1s763"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416719856.pdf","grobid_xml":"https://content.openalex.org/works/W4416719856.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1988720110","https://openalex.org/W2008374458","https://openalex.org/W2012341322","https://openalex.org/W2016518303","https://openalex.org/W2018215034","https://openalex.org/W2022090011","https://openalex.org/W2023523104","https://openalex.org/W2051434435","https://openalex.org/W2097460613","https://openalex.org/W2107501462","https://openalex.org/W2137731592","https://openalex.org/W2149454052","https://openalex.org/W2167137033","https://openalex.org/W2586727428","https://openalex.org/W2963433607","https://openalex.org/W2964000362","https://openalex.org/W3196355701","https://openalex.org/W4220813952","https://openalex.org/W4220913814","https://openalex.org/W4285801387","https://openalex.org/W4302774063","https://openalex.org/W4313052657","https://openalex.org/W4378552348","https://openalex.org/W4389286658","https://openalex.org/W4391683665","https://openalex.org/W4399845383"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"work,":[3],"we":[4,11],"consider":[5],"smooth":[6],"unconstrained":[7,186],"optimization":[8],"problems":[9],"and":[10,38,52,56,62,116],"deal":[12],"with":[13,19,110,172,178],"the":[14,25,35,39,75,78,82,90,95,123,132,134,142,146,151,161,169],"class":[15,106],"of":[16,34,45,59,77,107,141,145,153],"gradient":[17,37,50,108,170],"methods":[18,51,109],"momentum,":[20],"i.e.,":[21],"descent":[22],"algorithms":[23,46],"where":[24,74],"search":[26,41,83],"direction":[27,84],"is":[28,57,176],"defined":[29],"as":[30],"a":[31,71,105],"linear":[32,79],"combination":[33,80],"current":[36],"preceding":[40],"direction.":[42],"This":[43,99],"family":[44],"includes":[47],"nonlinear":[48,67],"conjugate":[49],"Polyak\u2019s":[53],"heavy-ball":[54],"approach,":[55],"thus":[58],"high":[60],"practical":[61],"theoretical":[63],"interest":[64],"in":[65,94,122,131,139],"large-scale":[66],"optimization.":[68],"We":[69],"propose":[70],"general":[72],"framework":[73],"scalars":[76],"defining":[81],"are":[85,137,158],"computed":[86],"simultaneously":[87],"by":[88],"minimizing":[89],"approximate":[91],"quadratic":[92,148],"model":[93],"2":[96],"dimensional":[97],"subspace.":[98],"strategy":[100],"allows":[101],"us":[102],"to":[103,160,180],"define":[104],"momentum":[111,173],"enjoying":[112],"global":[113],"convergence":[114,135],"guarantees":[115],"an":[117],"optimal":[118],"worst-case":[119],"complexity":[120],"bound":[121],"nonconvex":[124,185],"setting.":[125],"Differently":[126],"than":[127],"all":[128],"related":[129],"works":[130],"literature,":[133],"conditions":[136],"stated":[138],"terms":[140],"Hessian":[143],"matrix":[144],"bi-dimensional":[147],"model.":[149],"To":[150],"best":[152],"our":[154],"knowledge,":[155],"these":[156],"results":[157],"novel":[159],"literature.":[162],"Moreover,":[163],"extensive":[164],"computational":[165],"experiments":[166],"show":[167],"that":[168],"method":[171],"here":[174],"presented":[175],"competitive":[177],"respect":[179],"other":[181],"popular":[182],"solvers":[183],"for":[184],"problems.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-30T08:08:38.191290","created_date":"2025-11-27T00:00:00"}
