{"id":"https://openalex.org/W4403000315","doi":"https://doi.org/10.1007/s10957-024-02539-7","title":"Bregman Proximal Linearized ADMM for Minimizing Separable Sums Coupled by a Difference of Functions","display_name":"Bregman Proximal Linearized ADMM for Minimizing Separable Sums Coupled by a Difference of Functions","publication_year":2024,"publication_date":"2024-09-30","ids":{"openalex":"https://openalex.org/W4403000315","doi":"https://doi.org/10.1007/s10957-024-02539-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-024-02539-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02539-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02539-7.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/s10957-024-02539-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072847289","display_name":"Tan Nhat Pham","orcid":"https://orcid.org/0000-0002-0445-745X"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Tan Nhat Pham","raw_affiliation_strings":["Centre for New Energy Transition Research, Federation University Australia, Ballarat, VIC, 3353, Australia"],"raw_orcid":"https://orcid.org/0000-0002-0445-745X","affiliations":[{"raw_affiliation_string":"Centre for New Energy Transition Research, Federation University Australia, Ballarat, VIC, 3353, Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080867745","display_name":"Minh N. Dao","orcid":"https://orcid.org/0000-0002-8074-6675"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Minh N. Dao","raw_affiliation_strings":["School of Science, RMIT University, Melbourne, VIC, 3000, Australia"],"raw_orcid":"https://orcid.org/0000-0002-8074-6675","affiliations":[{"raw_affiliation_string":"School of Science, RMIT University, Melbourne, VIC, 3000, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016332710","display_name":"Andrew Eberhard","orcid":"https://orcid.org/0000-0003-2977-3456"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Andrew Eberhard","raw_affiliation_strings":["School of Science, RMIT University, Melbourne, VIC, 3000, Australia"],"raw_orcid":"https://orcid.org/0000-0003-2977-3456","affiliations":[{"raw_affiliation_string":"School of Science, RMIT University, Melbourne, VIC, 3000, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054393444","display_name":"Nargiz Sultanova","orcid":"https://orcid.org/0000-0003-2373-0834"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Nargiz Sultanova","raw_affiliation_strings":["Centre for Smart Analytics, Federation University Australia, Ballarat, VIC, 3353, Australia"],"raw_orcid":"https://orcid.org/0000-0003-2373-0834","affiliations":[{"raw_affiliation_string":"Centre for Smart Analytics, Federation University Australia, Ballarat, VIC, 3353, Australia","institution_ids":["https://openalex.org/I149672521"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5072847289"],"corresponding_institution_ids":["https://openalex.org/I149672521"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.7914,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.83167519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"203","issue":"2","first_page":"1622","last_page":"1658"},"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":0.9990000128746033,"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/T10514","display_name":"Numerical methods in engineering","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8643506765365601},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7342198491096497},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7115516662597656},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.6289098858833313},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5299732685089111},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46322086453437805},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3321724534034729},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3219411373138428},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14884528517723083}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8643506765365601},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7342198491096497},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7115516662597656},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.6289098858833313},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5299732685089111},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46322086453437805},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3321724534034729},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3219411373138428},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14884528517723083}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-024-02539-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02539-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02539-7.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:RePEc:spr:joptap:v:203:y:2024:i:2:d:10.1007_s10957-024-02539-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-024-02539-7","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/s10957-024-02539-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02539-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02539-7.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":[],"awards":[{"id":"https://openalex.org/G7865710446","display_name":null,"funder_award_id":"DP230101749","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F1076620694","display_name":"Science, Mathematics, And Research For Transformation Scholarship Program","ror":null},{"id":"https://openalex.org/F4320324008","display_name":"Federation University Australia","ror":"https://ror.org/05qbzwv83"},{"id":"https://openalex.org/F4320324478","display_name":"Fondation Math\u00e9matique Jacques Hadamard","ror":"https://ror.org/0153me927"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4403000315.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W2011181254","https://openalex.org/W2022416612","https://openalex.org/W2022541060","https://openalex.org/W2033468335","https://openalex.org/W2053906372","https://openalex.org/W2089106993","https://openalex.org/W2103215959","https://openalex.org/W2103972604","https://openalex.org/W2106424475","https://openalex.org/W2153562582","https://openalex.org/W2163232332","https://openalex.org/W2516602727","https://openalex.org/W2564026482","https://openalex.org/W2745841187","https://openalex.org/W2892380273","https://openalex.org/W2901838001","https://openalex.org/W2962853966","https://openalex.org/W2963960715","https://openalex.org/W2964011556","https://openalex.org/W2964056799","https://openalex.org/W2971289269","https://openalex.org/W3010123052","https://openalex.org/W3103245321","https://openalex.org/W3105393233","https://openalex.org/W3196456922","https://openalex.org/W4249513058","https://openalex.org/W4377013595","https://openalex.org/W4381436234","https://openalex.org/W4384339997","https://openalex.org/W6600135713"],"related_works":["https://openalex.org/W2790371392","https://openalex.org/W3112976351","https://openalex.org/W2140505738","https://openalex.org/W4200078764","https://openalex.org/W952002620","https://openalex.org/W3154762694","https://openalex.org/W2898694638","https://openalex.org/W4319453353","https://openalex.org/W3202139669","https://openalex.org/W2016611950"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"develop":[5],"a":[6,14,36,41,86,123,130],"splitting":[7],"algorithm":[8,79,105,119],"incorporating":[9],"Bregman":[10],"distances":[11],"to":[12,85],"solve":[13],"broad":[15],"class":[16],"of":[17,30,43,74,89,98,116],"linearly":[18,61],"constrained":[19,62],"composite":[20],"optimization":[21,53],"problems,":[22],"whose":[23],"objective":[24],"function":[25],"is":[26,120],"the":[27,56,60,67,77,81,90,96,99,107,117],"separable":[28],"sum":[29],"possibly":[31],"nonconvex":[32,50,131],"nonsmooth":[33,52],"functions":[34],"and":[35,51,70,110,129],"smooth":[37],"function,":[38],"coupled":[39],"by":[40,103],"difference":[42],"functions.":[44],"This":[45],"structure":[46],"encapsulates":[47],"numerous":[48],"significant":[49],"problems":[54],"in":[55],"current":[57],"literature":[58],"including":[59],"difference-of-convex":[63],"problems.":[64],"Relying":[65],"on":[66,122],"successive":[68],"linearization":[69],"alternating":[71],"direction":[72],"method":[73],"multipliers":[75],"(ADMM),":[76],"proposed":[78,118],"exhibits":[80],"global":[82],"subsequential":[83],"convergence":[84,97],"stationary":[87],"point":[88],"underlying":[91],"problem.":[92,135],"We":[93],"also":[94],"establish":[95],"full":[100],"sequence":[101],"generated":[102],"our":[104],"under":[106],"Kurdyka\u2013\u0141ojasiewicz":[108],"property":[109],"some":[111],"mild":[112],"assumptions.":[113],"The":[114],"efficiency":[115],"tested":[121],"robust":[124],"principal":[125],"component":[126],"analysis":[127],"problem":[128],"optimal":[132],"power":[133],"flow":[134]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2024-10-01T00:00:00"}