{"id":"https://openalex.org/W3214868252","doi":"https://doi.org/10.23919/eusipco54536.2021.9615919","title":"A Penalized Subspace Strategy for Solving Large-Scale Constrained Optimization Problems","display_name":"A Penalized Subspace Strategy for Solving Large-Scale Constrained Optimization Problems","publication_year":2021,"publication_date":"2021-08-23","ids":{"openalex":"https://openalex.org/W3214868252","doi":"https://doi.org/10.23919/eusipco54536.2021.9615919","mag":"3214868252"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco54536.2021.9615919","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco54536.2021.9615919","pdf_url":null,"source":{"id":"https://openalex.org/S4363607854","display_name":"2021 29th European Signal Processing Conference (EUSIPCO)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 29th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-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/A5054525021","display_name":"S\u00e9gol\u00e8ne Martin","orcid":"https://orcid.org/0000-0002-1695-6109"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Segolene Martin","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, Inria, CentraleSup\u00e9lec, Centre de Vision Num\u00e9rique"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, Inria, CentraleSup\u00e9lec, Centre de Vision Num\u00e9rique","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062777204","display_name":"\u00c9milie Chouzenoux","orcid":"https://orcid.org/0000-0003-3631-6093"},"institutions":[{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emilie Chouzenoux","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, Inria, CentraleSup\u00e9lec, Centre de Vision Num\u00e9rique"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, Inria, CentraleSup\u00e9lec, Centre de Vision Num\u00e9rique","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, Inria, CentraleSup\u00e9lec, Centre de Vision Num\u00e9rique"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, Inria, CentraleSup\u00e9lec, Centre de Vision Num\u00e9rique","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054525021"],"corresponding_institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210107720"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.293645,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2074","last_page":"2078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9969000220298767,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7512644529342651},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6497724056243896},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6087705492973328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5730510950088501},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5368948578834534},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4810212254524231},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47696220874786377},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.461273193359375},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.43541523814201355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36478927731513977},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3634225130081177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16462528705596924}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7512644529342651},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6497724056243896},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6087705492973328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5730510950088501},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5368948578834534},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4810212254524231},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47696220874786377},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.461273193359375},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.43541523814201355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36478927731513977},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3634225130081177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16462528705596924},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/eusipco54536.2021.9615919","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco54536.2021.9615919","pdf_url":null,"source":{"id":"https://openalex.org/S4363607854","display_name":"2021 29th European Signal Processing Conference (EUSIPCO)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 29th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W111946688","https://openalex.org/W322738573","https://openalex.org/W1534416612","https://openalex.org/W1669104078","https://openalex.org/W1922442141","https://openalex.org/W1946620893","https://openalex.org/W1977905043","https://openalex.org/W1978926712","https://openalex.org/W1986082458","https://openalex.org/W1998991750","https://openalex.org/W2000359198","https://openalex.org/W2001249946","https://openalex.org/W2012231377","https://openalex.org/W2018237299","https://openalex.org/W2090523290","https://openalex.org/W2100556411","https://openalex.org/W2114423093","https://openalex.org/W2123031198","https://openalex.org/W2125852763","https://openalex.org/W2149414429","https://openalex.org/W2161761402","https://openalex.org/W2164278908","https://openalex.org/W2189524148","https://openalex.org/W2508393166","https://openalex.org/W2566138035","https://openalex.org/W2904405806","https://openalex.org/W2964173857","https://openalex.org/W2980354672","https://openalex.org/W3002764118","https://openalex.org/W3098136490","https://openalex.org/W3104509149","https://openalex.org/W4254106911","https://openalex.org/W4299356270","https://openalex.org/W4300671337","https://openalex.org/W6687288259","https://openalex.org/W6726462418","https://openalex.org/W6769180884","https://openalex.org/W6785189737","https://openalex.org/W7001446769"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W1980381208","https://openalex.org/W2348722996","https://openalex.org/W2393022482","https://openalex.org/W2112641952","https://openalex.org/W2092311672","https://openalex.org/W4286891655","https://openalex.org/W3209823386","https://openalex.org/W4292532243"],"abstract_inverted_index":{"Many":[0],"data":[1],"science":[2],"problems":[3,29],"can":[4],"be":[5],"efficiently":[6,34],"addressed":[7],"by":[8],"minimizing":[9],"a":[10,20,36,44,57,84,98],"cost":[11,70],"function":[12],"subject":[13],"to":[14,83],"various":[15],"constraints.":[16],"In":[17],"this":[18],"paper":[19],"new":[21],"method":[22,107],"for":[23,35],"solving":[24],"large-scale":[25,99],"constrained":[26,88],"differentiable":[27],"optimization":[28,89],"is":[30,76,91],"proposed.":[31],"To":[32],"account":[33],"wide":[37],"range":[38],"of":[39,64,67,80,86,113],"constraints,":[40],"our":[41,81],"approach":[42],"embeds":[43],"subspace":[45,53],"algorithm":[46,82],"into":[47],"an":[48],"exterior":[49],"penalty":[50],"framework.":[51],"The":[52],"strategy,":[54],"combined":[55],"with":[56],"Majoration-Minimization":[58],"step":[59],"search,":[60],"takes":[61],"great":[62],"advantage":[63],"the":[65,68,74,78,87,105],"smoothness":[66],"penalized":[69],"function.":[71],"Assuming":[72],"that":[73,104],"latter":[75],"convex,":[77],"convergence":[79],"solution":[85],"problem":[90],"proved.":[92],"Numerical":[93],"experiments":[94],"carried":[95],"out":[96],"on":[97],"image":[100],"restoration":[101],"application":[102],"show":[103],"proposed":[106],"outperforms":[108],"state-of-the-art":[109],"algorithms":[110],"in":[111],"terms":[112],"computational":[114],"time.":[115]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
