{"id":"https://openalex.org/W4396945620","doi":"https://doi.org/10.1137/25m1726856","title":"Effective Front-Descent Algorithms with Convergence Guarantees","display_name":"Effective Front-Descent Algorithms with Convergence Guarantees","publication_year":2026,"publication_date":"2026-04-06","ids":{"openalex":"https://openalex.org/W4396945620","doi":"https://doi.org/10.1137/25m1726856"},"language":"en","primary_location":{"id":"doi:10.1137/25m1726856","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1726856","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2405.08450","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":false,"raw_author_name":"Matteo Lapucci","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Florence, 50139 Italy"],"raw_orcid":"https://orcid.org/0000-0002-2488-5486","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Florence, 50139 Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007815499","display_name":"Pierluigi Mansueto","orcid":"https://orcid.org/0000-0002-1394-0937"},"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":"Pierluigi Mansueto","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Florence, 50139 Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Florence, 50139 Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","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":["Department of Information Engineering, University of Florence, Florence, 50139 Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Florence, 50139 Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":9.0898,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.92820292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"36","issue":"2","first_page":"597","last_page":"625"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9351999759674072,"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":0.9351999759674072,"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/convergence","display_name":"Convergence (economics)","score":0.7005174160003662},{"id":"https://openalex.org/keywords/front","display_name":"Front (military)","score":0.600222647190094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5935490131378174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5657798051834106},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4786425828933716},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.45343461632728577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3302499055862427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2516712248325348},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22917941212654114},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08151063323020935},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06310209631919861},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.057669758796691895}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7005174160003662},{"id":"https://openalex.org/C2777551076","wikidata":"https://www.wikidata.org/wiki/Q842332","display_name":"Front (military)","level":2,"score":0.600222647190094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5935490131378174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5657798051834106},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4786425828933716},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.45343461632728577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3302499055862427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2516712248325348},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22917941212654114},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08151063323020935},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06310209631919861},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.057669758796691895},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/25m1726856","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1726856","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2405.08450","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.08450","pdf_url":"https://arxiv.org/pdf/2405.08450","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:flore.unifi.it:2158/1463175","is_oa":false,"landing_page_url":"https://hdl.handle.net/2158/1463175","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2405.08450","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2405.08450","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2405.08450","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.08450","pdf_url":"https://arxiv.org/pdf/2405.08450","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396945620.pdf","grobid_xml":"https://content.openalex.org/works/W4396945620.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2486267010","https://openalex.org/W4298096494","https://openalex.org/W1678820847","https://openalex.org/W2559216629","https://openalex.org/W1553684505","https://openalex.org/W1607707911","https://openalex.org/W2074777875","https://openalex.org/W2037211941","https://openalex.org/W2042403445","https://openalex.org/W2015288657"],"abstract_inverted_index":{"Abstract.":[0],"In":[1,120],"this":[2],"manuscript,":[3],"we":[4,12,25,68,87,102],"address":[5],"continuous":[6],"unconstrained":[7],"multiobjective":[8],"optimization":[9],"problems":[10],"and":[11,60,67,77,165],"discuss":[13],"descent":[14],"type":[15,107],"methods":[16],"for":[17,82,130],"the":[18,21,27,35,41,58,61,64,83,99,112,118,135,151,173,182],"reconstruction":[19],"of":[20,29,43,57,63,108,114,132,185],"Pareto":[22],"set.":[23],"Specifically,":[24],"analyze":[26],"class":[28,184],"Front":[30,36],"Descent":[31,38],"methods,":[32],"which":[33],"generalizes":[34],"Steepest":[37],"algorithm":[39],"allowing":[40],"employment":[42],"suitable,":[44],"effective":[45],"search":[46,91],"directions":[47,92],"(e.g.,":[48],"Newton,":[49],"Quasi-Newton,":[50],"Barzilai-Borwein).":[51],"We":[52],"provide":[53,103],"a":[54,104,141,176],"deep":[55],"characterization":[56],"behavior":[59],"mechanisms":[62],"algorithmic":[65],"framework,":[66],"prove":[69,88],"that,":[70],"under":[71],"reasonable":[72],"assumptions,":[73],"standard":[74],"convergence":[75,109,136],"results":[76,174],"some":[78],"complexity":[79,144],"bounds":[80],"hold":[81],"generalized":[84],"approach.":[85],"Moreover,":[86],"that":[89,181],"popular":[90],"can":[93,169],"indeed":[94],"be":[95,157,170],"soundly":[96],"used":[97],"within":[98],"framework.":[100],"Then,":[101],"completely":[105],"novel":[106],"result,":[110],"concerning":[111],"sequence":[113],"sets":[115,123,152],"produced":[116],"by":[117,140],"procedure.":[119],"particular,":[121],"iterate":[122],"are":[124,153],"shown":[125,154],"to":[126,155],"asymptotically":[127],"approach":[128],"stationarity":[129],"all":[131],"their":[133],"points;":[134],"result":[137],"is":[138],"accompanied":[139],"worst-case":[142],"iteration":[143],"bound;":[145],"additionally,":[146],"in":[147,162],"finite":[148],"precision":[149],"settings,":[150],"only":[156],"enriched":[158],"through":[159],"exploration":[160],"steps":[161],"later":[163],"iterations,":[164],"suitable":[166],"stopping":[167],"conditions":[168],"devised.":[171],"Finally,":[172],"from":[175],"large":[177],"experimental":[178],"benchmark":[179],"show":[180],"proposed":[183],"approaches":[186],"far":[187],"outperforms":[188],"state-of-the-art":[189],"methodologies.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2024-05-16T00:00:00"}
