{"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":"preprint","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":true,"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":3,"corresponding_author_ids":["https://openalex.org/A5037874811"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01305638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":null,"issn":null,"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":null,"issn":null,"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":"article"}],"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":null,"issn":null,"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":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396945620.pdf"},"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":{"In":[0,119],"this":[1],"manuscript,":[2],"we":[3,11,24,67,86,101],"address":[4],"continuous":[5],"unconstrained":[6],"multi-objective":[7],"optimization":[8],"problems":[9],"and":[10,59,66,76,164],"discuss":[12],"descent":[13],"type":[14,106],"methods":[15],"for":[16,81,129],"the":[17,20,26,34,40,57,60,63,82,98,111,117,134,150,172,181],"reconstruction":[18],"of":[19,28,42,56,62,107,113,131,184],"Pareto":[21],"set.":[22],"Specifically,":[23],"analyze":[25],"class":[27,183],"Front":[29,35],"Descent":[30,37],"methods,":[31],"which":[32],"generalizes":[33],"Steepest":[36],"algorithm":[38],"allowing":[39],"employment":[41],"suitable,":[43],"effective":[44],"search":[45,90],"directions":[46,91],"(e.g.,":[47],"Newton,":[48],"Quasi-Newton,":[49],"Barzilai-Borwein).":[50],"We":[51],"provide":[52,102],"a":[53,103,140,175],"deep":[54],"characterization":[55],"behavior":[58],"mechanisms":[61],"algorithmic":[64],"framework,":[65],"prove":[68,87],"that,":[69],"under":[70],"reasonable":[71],"assumptions,":[72],"standard":[73],"convergence":[74,108,135],"results":[75,173],"some":[77],"complexity":[78,143],"bounds":[79],"hold":[80],"generalized":[83],"approach.":[84],"Moreover,":[85],"that":[88,180],"popular":[89],"can":[92,168],"indeed":[93],"be":[94,156,169],"soundly":[95],"used":[96],"within":[97],"framework.":[99],"Then,":[100],"completely":[104],"novel":[105],"results,":[109],"concerning":[110],"sequence":[112],"sets":[114,122,151],"produced":[115],"by":[116,139],"procedure.":[118],"particular,":[120],"iterate":[121],"are":[123,152],"shown":[124,153],"to":[125,154],"asymptotically":[126],"approach":[127],"stationarity":[128],"all":[130],"their":[132],"points;":[133],"result":[136],"is":[137],"accompanied":[138],"worst-case":[141],"iteration":[142],"bound;":[144],"additionally,":[145],"in":[146,161],"finite":[147],"precision":[148],"settings,":[149],"only":[155],"enriched":[157],"through":[158],"exploration":[159],"steps":[160],"later":[162],"iterations,":[163],"suitable":[165],"stopping":[166],"conditions":[167],"devised.":[170],"Finally,":[171],"from":[174],"large":[176],"experimental":[177],"benchmark":[178],"show":[179],"proposed":[182],"approaches":[185],"far":[186],"outperforms":[187],"state-of-the-art":[188],"methodologies.":[189]},"counts_by_year":[],"updated_date":"2026-05-20T08:49:12.498775","created_date":"2024-05-16T00:00:00"}
