{"id":"https://openalex.org/W4392655676","doi":"https://doi.org/10.1007/s10589-024-00565-9","title":"A new proximal heavy ball inexact line-search algorithm","display_name":"A new proximal heavy ball inexact line-search algorithm","publication_year":2024,"publication_date":"2024-03-10","ids":{"openalex":"https://openalex.org/W4392655676","doi":"https://doi.org/10.1007/s10589-024-00565-9"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00565-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00565-9.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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00565-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005747047","display_name":"Silvia Bonettini","orcid":"https://orcid.org/0000-0003-2936-365X"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"funder","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"S. Bonettini","raw_affiliation_strings":["Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024279313","display_name":"Marco Prato","orcid":"https://orcid.org/0000-0002-7327-3347"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"funder","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Prato","raw_affiliation_strings":["Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006606154","display_name":"Simone Rebegoldi","orcid":"https://orcid.org/0000-0002-1232-5481"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"funder","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Rebegoldi","raw_affiliation_strings":["Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005747047"],"corresponding_institution_ids":["https://openalex.org/I122346577"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.307,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.740949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":80,"max":90},"biblio":{"volume":"88","issue":"2","first_page":"525","last_page":"565"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997,"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":0.9997,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9961,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9949,"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/line-search","display_name":"Line search","score":0.70064205},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.596179},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.5592966},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.51985127},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5146828}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.747868},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.70064205},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.682891},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.596179},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.5592966},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.51985127},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5146828},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4836527},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48265344},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.4530189},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4399351},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.430466},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.39174902},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36632228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20885447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15011504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11396453},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"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":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00565-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00565-9.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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00565-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00565-9.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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320311022","funder_display_name":"Universit\u00e0 Degli Studi di Modena e Reggio Emila","award_id":null}],"datasets":[],"versions":[],"referenced_works_count":47,"referenced_works":["https://openalex.org/W1946620893","https://openalex.org/W1967138577","https://openalex.org/W1970618048","https://openalex.org/W1984481261","https://openalex.org/W1988720110","https://openalex.org/W2000218110","https://openalex.org/W2000462146","https://openalex.org/W2006262045","https://openalex.org/W2019786292","https://openalex.org/W2021361347","https://openalex.org/W2027982384","https://openalex.org/W2030583950","https://openalex.org/W2039050532","https://openalex.org/W2047003499","https://openalex.org/W2059425302","https://openalex.org/W2076605490","https://openalex.org/W2078616944","https://openalex.org/W2085694061","https://openalex.org/W2100556411","https://openalex.org/W2129732816","https://openalex.org/W2137731592","https://openalex.org/W2141390467","https://openalex.org/W2142224912","https://openalex.org/W2167732364","https://openalex.org/W2171413647","https://openalex.org/W2198227614","https://openalex.org/W2392724003","https://openalex.org/W2523352299","https://openalex.org/W2549127690","https://openalex.org/W2748138089","https://openalex.org/W2777528688","https://openalex.org/W2893300476","https://openalex.org/W2962688058","https://openalex.org/W2962721705","https://openalex.org/W2963363119","https://openalex.org/W3034889619","https://openalex.org/W3074070670","https://openalex.org/W3100706439","https://openalex.org/W3118800162","https://openalex.org/W3205832882","https://openalex.org/W322738573","https://openalex.org/W4249667877","https://openalex.org/W4294564512","https://openalex.org/W4300079171","https://openalex.org/W4312996965","https://openalex.org/W4313353756","https://openalex.org/W4391228326"],"related_works":["https://openalex.org/W4319027779","https://openalex.org/W3107945686","https://openalex.org/W2381924799","https://openalex.org/W2371381925","https://openalex.org/W2361122475","https://openalex.org/W2358414513","https://openalex.org/W2356977358","https://openalex.org/W2348618647","https://openalex.org/W2183734858","https://openalex.org/W2005562358"],"abstract_inverted_index":{"Abstract":[0],"We":[1,52],"study":[2],"a":[3,16,33,42,61,68,74],"novel":[4],"inertial":[5,96],"proximal-gradient":[6,19],"method":[7,13],"for":[8,41],"composite":[9],"optimization.":[10],"The":[11,37],"proposed":[12],"alternates":[14],"between":[15],"variable":[17],"metric":[18],"iteration":[20],"with":[21,87],"momentum":[22],"and":[23,78],"an":[24],"Armijo-like":[25],"linesearch":[26,38],"based":[27],"on":[28,45,73],"the":[29,46,49,54,57,65,82,95,102],"sufficient":[30],"decrease":[31],"of":[32,48,56,64,76,84],"suitable":[34],"merit":[35],"function.":[36],"procedure":[39],"allows":[40],"major":[43],"flexibility":[44],"choice":[47],"algorithm":[50],"parameters.":[51],"prove":[53],"convergence":[55],"iterates":[58],"sequence":[59],"towards":[60],"stationary":[62],"point":[63],"problem,":[66],"in":[67],"Kurdyka\u2013\u0141ojasiewicz":[69],"framework.":[70],"Numerical":[71],"experiments":[72],"variety":[75],"convex":[77],"nonconvex":[79],"problems":[80],"highlight":[81],"superiority":[83],"our":[85],"proposal":[86],"respect":[88],"to":[89],"several":[90],"standard":[91],"methods,":[92],"especially":[93],"when":[94],"parameter":[97],"is":[98],"selected":[99],"by":[100],"mimicking":[101],"Conjugate":[103],"Gradient":[104],"updating":[105],"rule.":[106]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4392655676","counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-03-02T09:02:17.362398","created_date":"2024-03-12"}