{"id":"https://openalex.org/W4400334258","doi":"https://doi.org/10.1007/s10957-024-02479-2","title":"Convex Predictor\u2013Nonconvex Corrector Optimization Strategy with Application to Signal Decomposition","display_name":"Convex Predictor\u2013Nonconvex Corrector Optimization Strategy with Application to Signal Decomposition","publication_year":2024,"publication_date":"2024-07-04","ids":{"openalex":"https://openalex.org/W4400334258","doi":"https://doi.org/10.1007/s10957-024-02479-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-024-02479-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02479-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02479-2.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02479-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028124428","display_name":"Laura Girometti","orcid":"https://orcid.org/0009-0009-0148-0521"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Laura Girometti","raw_affiliation_strings":["University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001991044","display_name":"Martin H\u00faska","orcid":"https://orcid.org/0000-0002-5342-1752"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Martin Huska","raw_affiliation_strings":["University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017232084","display_name":"Alessandro Lanza","orcid":"https://orcid.org/0000-0002-4904-0682"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Lanza","raw_affiliation_strings":["University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058921917","display_name":"Serena Morigi","orcid":"https://orcid.org/0000-0001-8334-8798"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Serena Morigi","raw_affiliation_strings":["University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy"],"raw_orcid":"https://orcid.org/0000-0001-8334-8798","affiliations":[{"raw_affiliation_string":"University of Bologna, P.zza Porta S. Donato 5, 40126, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058921917"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":1.007,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68163452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"202","issue":"3","first_page":"1286","last_page":"1325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/initialization","display_name":"Initialization","score":0.8261062502861023},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.7520875930786133},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7072175145149231},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6697119474411011},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6492125391960144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6382055282592773},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5841949582099915},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4813457429409027},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4605857729911804},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4577223062515259},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4532327651977539},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43922510743141174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3498977720737457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3032304644584656}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.8261062502861023},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.7520875930786133},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7072175145149231},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6697119474411011},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6492125391960144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6382055282592773},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5841949582099915},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4813457429409027},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4605857729911804},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4577223062515259},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4532327651977539},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43922510743141174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3498977720737457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3032304644584656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-024-02479-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02479-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02479-2.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/983527","is_oa":true,"landing_page_url":"https://link.springer.com/article/10.1007/s10957-024-02479-2","pdf_url":"https://cris.unibo.it/bitstream/11585/983527/2/s10957-024-02479-2.pdf","source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:joptap:v:202:y:2024:i:3:d:10.1007_s10957-024-02479-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-024-02479-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1007/s10957-024-02479-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02479-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02479-2.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G1200965497","display_name":null,"funder_award_id":"PE00000004)","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G1585674959","display_name":null,"funder_award_id":"1551.11-10-2022","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2236812494","display_name":null,"funder_award_id":"CUPE53C22001930001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G2876861147","display_name":null,"funder_award_id":"CUP_E53C22001930001","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G482427013","display_name":null,"funder_award_id":"PE_00000004","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5339074417","display_name":null,"funder_award_id":"CUP E53C22001930001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320323553","display_name":"Universit\u00e0 di Bologna","ror":"https://ror.org/01111rn36"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400334258.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W207373900","https://openalex.org/W1543750907","https://openalex.org/W1967404442","https://openalex.org/W1971509683","https://openalex.org/W1990494141","https://openalex.org/W2000982976","https://openalex.org/W2007221293","https://openalex.org/W2049633694","https://openalex.org/W2050023599","https://openalex.org/W2090218979","https://openalex.org/W2092231222","https://openalex.org/W2118754398","https://openalex.org/W2122688057","https://openalex.org/W2157011125","https://openalex.org/W2180180824","https://openalex.org/W2344964557","https://openalex.org/W2471604734","https://openalex.org/W2573734040","https://openalex.org/W2752392650","https://openalex.org/W2785011264","https://openalex.org/W2884730834","https://openalex.org/W2963286475","https://openalex.org/W2963396373","https://openalex.org/W2998830245","https://openalex.org/W2999905431","https://openalex.org/W3103984481","https://openalex.org/W3203092707","https://openalex.org/W3217451768","https://openalex.org/W4210391541","https://openalex.org/W4244769743","https://openalex.org/W4292363360","https://openalex.org/W4312194141","https://openalex.org/W4320007926","https://openalex.org/W4376456877","https://openalex.org/W4377197115","https://openalex.org/W4388026706"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W3204184292","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W3176564347","https://openalex.org/W2909957174","https://openalex.org/W2596692027","https://openalex.org/W2148025067","https://openalex.org/W4295724548","https://openalex.org/W2549189808"],"abstract_inverted_index":{"Abstract":[0],"Many":[1],"tasks":[2],"in":[3,93],"real":[4],"life":[5],"scenarios":[6],"can":[7],"be":[8],"naturally":[9],"formulated":[10],"as":[11,84],"nonconvex":[12,31,78],"optimization":[13],"problems.":[14,57],"Unfortunately,":[15],"to":[16,22,55,63,101],"date,":[17],"the":[18,26,41,102],"iterative":[19],"numerical":[20],"methods":[21],"find":[23],"even":[24],"only":[25],"local":[27],"minima":[28],"of":[29,88,105],"these":[30,56],"cost":[32],"functions":[33],"are":[34],"extremely":[35],"slow":[36],"and":[37,121],"strongly":[38],"affected":[39],"by":[40,74,116],"initialization":[42],"chosen.":[43],"We":[44],"devise":[45],"a":[46,65,76,107],"predictor\u2013corrector":[47],"strategy":[48,98],"that":[49],"efficiently":[50],"computes":[51],"locally":[52],"optimal":[53],"solutions":[54],"An":[58],"initialization-free":[59],"convex":[60],"minimization":[61],"allows":[62],"predict":[64],"global":[66],"good":[67,95],"preliminary":[68],"candidate,":[69],"which":[70],"is":[71,99],"then":[72],"corrected":[73],"solving":[75],"parameter-free":[77],"minimization.":[79],"A":[80],"simple":[81],"algorithm,":[82],"such":[83],"alternating":[85],"direction":[86],"method":[87],"multipliers":[89],"works":[90],"surprisingly":[91],"well":[92],"producing":[94],"solutions.":[96],"This":[97],"applied":[100],"challenging":[103],"problem":[104],"decomposing":[106],"1D":[108],"signal":[109],"into":[110],"semantically":[111],"distinct":[112],"components":[113],"mathematically":[114],"identified":[115],"smooth,":[117],"piecewise-constant,":[118],"oscillatory":[119],"structured":[120],"unstructured":[122],"(noise)":[123],"parts.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2024-07-06T00:00:00"}