{"id":"https://openalex.org/W2971643127","doi":"https://doi.org/10.1137/18m1230207","title":"Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics","display_name":"Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2971643127","doi":"https://doi.org/10.1137/18m1230207","mag":"2971643127"},"language":"en","primary_location":{"id":"doi:10.1137/18m1230207","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1230207","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038818485","display_name":"H\u00e9dy Attouch","orcid":"https://orcid.org/0000-0003-2676-0887"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hedy Attouch","raw_affiliation_strings":["IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025710979","display_name":"Zaki Chbani","orcid":"https://orcid.org/0000-0001-9054-8421"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zaki Chbani","raw_affiliation_strings":["LIBMA - Laboratoire Ibn Al-Banna de Math\u00e9matiques et Applications (Facult\u00e9 des Sciences Semlalia de Marrakech (FSSM) Boulevard Prince My Abdellah, B.P. 2390 | 40000 Marrakech | Maroc - Morocco)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIBMA - Laboratoire Ibn Al-Banna de Math\u00e9matiques et Applications (Facult\u00e9 des Sciences Semlalia de Marrakech (FSSM) Boulevard Prince My Abdellah, B.P. 2390 | 40000 Marrakech | Maroc - Morocco)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022578878","display_name":"Hassan Riahi","orcid":"https://orcid.org/0000-0001-6248-1266"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hassan Riahi","raw_affiliation_strings":["LIBMA - Laboratoire Ibn Al-Banna de Math\u00e9matiques et Applications (Facult\u00e9 des Sciences Semlalia de Marrakech (FSSM) Boulevard Prince My Abdellah, B.P. 2390 | 40000 Marrakech | Maroc - Morocco)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIBMA - Laboratoire Ibn Al-Banna de Math\u00e9matiques et Applications (Facult\u00e9 des Sciences Semlalia de Marrakech (FSSM) Boulevard Prince My Abdellah, B.P. 2390 | 40000 Marrakech | Maroc - Morocco)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.7009,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.97719403,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"29","issue":"3","first_page":"2227","last_page":"2256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9958999752998352,"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/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.7808108925819397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7360933423042297},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6682517528533936},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6396065950393677},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5761081576347351},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5174784660339355},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.48314258456230164},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47137320041656494},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.456648051738739},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44698405265808105},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42635542154312134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39205676317214966},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3673011064529419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16814598441123962},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.1647920310497284},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13450747728347778},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11504915356636047}],"concepts":[{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.7808108925819397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7360933423042297},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6682517528533936},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6396065950393677},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5761081576347351},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5174784660339355},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.48314258456230164},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47137320041656494},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.456648051738739},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44698405265808105},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42635542154312134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39205676317214966},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3673011064529419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16814598441123962},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.1647920310497284},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13450747728347778},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11504915356636047},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1230207","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1230207","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W84725740","https://openalex.org/W322738573","https://openalex.org/W1837565340","https://openalex.org/W1988720110","https://openalex.org/W2006262045","https://openalex.org/W2019786292","https://openalex.org/W2037679050","https://openalex.org/W2078616944","https://openalex.org/W2099679613","https://openalex.org/W2100556411","https://openalex.org/W2148936744","https://openalex.org/W2176777789","https://openalex.org/W2215161500","https://openalex.org/W2302721240","https://openalex.org/W2735979640","https://openalex.org/W2759432802","https://openalex.org/W2768527043","https://openalex.org/W2963022670","https://openalex.org/W2963237896","https://openalex.org/W2964153427","https://openalex.org/W2964216752","https://openalex.org/W3100706439","https://openalex.org/W4244393449"],"related_works":["https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W3041729670","https://openalex.org/W4306682002","https://openalex.org/W4379162871","https://openalex.org/W2039874305","https://openalex.org/W1767939703"],"abstract_inverted_index":{"In":[0],"a":[1,7,59],"Hilbert":[2],"space":[3],"setting,":[4],"we":[5,57],"consider":[6],"class":[8],"of":[9,28,62,66,72],"inertial":[10,29,53],"proximal":[11,74],"algorithms":[12],"for":[13,76],"nonsmooth":[14],"convex":[15,77],"optimization,":[16],"with":[17,50],"fast":[18],"convergence":[19,70],"properties.":[20],"They":[21],"can":[22],"be":[23],"obtained":[24],"by":[25],"time":[26],"discretization":[27],"gradient":[30],"dynamics":[31],"which":[32],"have":[33],"been":[34],"rescaled":[35],"in":[36],"time.":[37],"We":[38],"will":[39],"rely":[40],"specifically":[41],"on":[42,68],"the":[43,63,69,73],"recent":[44],"development":[45],"linking":[46],"Nesterov's":[47],"accelerated":[48],"method":[49],"vanishing":[51],"damping":[52],"dynamics.":[54],"Doing":[55],"so,":[56],"obtain":[58],"dynamical":[60],"interpretation":[61],"seminal":[64],"papers":[65],"G\u00fcler":[67],"rate":[71],"methods":[75],"optimization.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}