{"id":"https://openalex.org/W4386049845","doi":"https://doi.org/10.3390/a16080394","title":"Bundle Enrichment Method for Nonsmooth Difference of Convex Programming Problems","display_name":"Bundle Enrichment Method for Nonsmooth Difference of Convex Programming Problems","publication_year":2023,"publication_date":"2023-08-21","ids":{"openalex":"https://openalex.org/W4386049845","doi":"https://doi.org/10.3390/a16080394"},"language":"en","primary_location":{"id":"doi:10.3390/a16080394","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16080394","pdf_url":"https://www.mdpi.com/1999-4893/16/8/394/pdf?version=1692671582","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/16/8/394/pdf?version=1692671582","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087376257","display_name":"Manlio Gaudioso","orcid":"https://orcid.org/0000-0002-3022-7041"},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Manlio Gaudioso","raw_affiliation_strings":["DIMES (Dipartimento di Ingegneria Informatica, Modellistica, Elettronica e Sistemistica), Universit\u00e0 della Calabria, 87036 Rende, CS, Italy"],"affiliations":[{"raw_affiliation_string":"DIMES (Dipartimento di Ingegneria Informatica, Modellistica, Elettronica e Sistemistica), Universit\u00e0 della Calabria, 87036 Rende, CS, Italy","institution_ids":["https://openalex.org/I45204951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077896617","display_name":"Sona Taheri","orcid":"https://orcid.org/0000-0003-1779-4567"},"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":"Sona Taheri","raw_affiliation_strings":["School of Mathematical Sciences, RMIT University, Melbourne 3000, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, RMIT University, Melbourne 3000, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040706121","display_name":"Adil Bagirov","orcid":"https://orcid.org/0000-0003-2075-1699"},"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":"Adil M. Bagirov","raw_affiliation_strings":["Centre for Smart Analytics, Institute of Innovation, Science and Sustainability, Federation University Australia, Ballarat 3350, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Smart Analytics, Institute of Innovation, Science and Sustainability, Federation University Australia, Ballarat 3350, Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062770206","display_name":"Napsu Karmitsa","orcid":"https://orcid.org/0000-0002-8747-4836"},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Napsu Karmitsa","raw_affiliation_strings":["Department of Computing, University of Turku, FI-20014 Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Computing, University of Turku, FI-20014 Turku, Finland","institution_ids":["https://openalex.org/I155660961"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087376257"],"corresponding_institution_ids":["https://openalex.org/I45204951"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2083,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75312969,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"16","issue":"8","first_page":"394","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7607633471488953},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5262210369110107},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5071165561676025},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.4821207523345947},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.45809775590896606},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4397287964820862},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43390581011772156},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41977596282958984},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4168156683444977},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36769235134124756},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2902522683143616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20716631412506104},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08988818526268005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7607633471488953},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5262210369110107},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5071165561676025},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.4821207523345947},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.45809775590896606},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4397287964820862},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43390581011772156},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41977596282958984},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4168156683444977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36769235134124756},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2902522683143616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20716631412506104},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08988818526268005},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":4,"locations":[{"id":"doi:10.3390/a16080394","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16080394","pdf_url":"https://www.mdpi.com/1999-4893/16/8/394/pdf?version=1692671582","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:vital:18816","is_oa":true,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/197189","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"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":"Text"},{"id":"pmh:oai:doaj.org/article:5473a6fd87794b0b81d008b5af90d7c3","is_oa":true,"landing_page_url":"https://doaj.org/article/5473a6fd87794b0b81d008b5af90d7c3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 16, Iss 8, p 394 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/16/8/394/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a16080394","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms; Volume 16; Issue 8; Pages: 394","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a16080394","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16080394","pdf_url":"https://www.mdpi.com/1999-4893/16/8/394/pdf?version=1692671582","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G123324151","display_name":"AI technologies for interaction prediction in biomedicine","funder_award_id":"345804","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G2090226954","display_name":null,"funder_award_id":"345805","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G2852628691","display_name":null,"funder_award_id":"345804","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G468120695","display_name":null,"funder_award_id":"DP190100580","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G6214043649","display_name":"AI technologies for interaction prediction in biomedicine","funder_award_id":"345805","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320315885","display_name":"Australian Government","ror":"https://ror.org/0314h5y94"},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386049845.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W75157487","https://openalex.org/W81972919","https://openalex.org/W1440015328","https://openalex.org/W1539866208","https://openalex.org/W1988778152","https://openalex.org/W1990494141","https://openalex.org/W1995577535","https://openalex.org/W2003939156","https://openalex.org/W2064880458","https://openalex.org/W2082476974","https://openalex.org/W2091371007","https://openalex.org/W2130469840","https://openalex.org/W2133264627","https://openalex.org/W2149454052","https://openalex.org/W2186273234","https://openalex.org/W2228305648","https://openalex.org/W2280318059","https://openalex.org/W2343766162","https://openalex.org/W2485305008","https://openalex.org/W2518523798","https://openalex.org/W2561526916","https://openalex.org/W2754518108","https://openalex.org/W2762438520","https://openalex.org/W2784408805","https://openalex.org/W2810034112","https://openalex.org/W2898522262","https://openalex.org/W2918733380","https://openalex.org/W3013364710","https://openalex.org/W3014540112","https://openalex.org/W3022391784","https://openalex.org/W3025582638","https://openalex.org/W3047532160","https://openalex.org/W3095693947","https://openalex.org/W3100361627","https://openalex.org/W3103098691","https://openalex.org/W3110176297","https://openalex.org/W3116379430","https://openalex.org/W3184658784","https://openalex.org/W3202371139","https://openalex.org/W4243140258","https://openalex.org/W4252076505","https://openalex.org/W4253214256","https://openalex.org/W4323049091","https://openalex.org/W6726454030"],"related_works":["https://openalex.org/W2057864799","https://openalex.org/W2008658569","https://openalex.org/W2811008754","https://openalex.org/W1966102749","https://openalex.org/W4324119794","https://openalex.org/W2953109382","https://openalex.org/W2391801962","https://openalex.org/W2526245011","https://openalex.org/W1995757014","https://openalex.org/W2003939156"],"abstract_inverted_index":{"The":[0,16,45,76,158],"Bundle":[1],"Enrichment":[2],"Method":[3],"(BEM-DC)":[4],"is":[5,43,51,101,150,156,164],"introduced":[6],"for":[7],"solving":[8,54],"nonsmooth":[9,177],"difference":[10,36],"of":[11,18,22,26,37,48,57,66,94,106,121,129,134,147,160,172],"convex":[12,39,58],"(DC)":[13],"programming":[14],"problems.":[15],"novelty":[17],"the":[19,23,27,35,49,64,71,82,91,95,104,110,114,122,126,130,136,145,148,161],"method":[20,163],"consists":[21],"dynamic":[24],"management":[25,79],"bundle.":[28],"More":[29],"specifically,":[30],"a":[31,55,99,153,170],"DC":[32,73,92,138,178],"model,":[33],"being":[34],"two":[38],"piecewise":[40],"affine":[41],"functions,":[42],"formulated.":[44],"(global)":[46],"minimization":[47,116],"model":[50,90,115],"tackled":[52],"by":[53,103,113],"set":[56,171],"problems":[59,175],"whose":[60],"cardinality":[61],"depends":[62],"on":[63,169],"number":[65],"linearizations":[67],"adopted":[68],"to":[69,88],"approximate":[70],"second":[72],"component":[74,139],"function.":[75,97],"new":[77],"bundle":[78],"policy":[80],"distributes":[81],"information":[83],"coming":[84],"from":[85],"previous":[86],"iterations":[87],"separately":[89],"components":[93],"objective":[96,123,179],"Such":[98],"distribution":[100],"driven":[102],"sign":[105],"linearization":[107],"errors.":[108],"If":[109],"displacement":[111],"suggested":[112],"provides":[117],"no":[118],"sufficient":[119,154],"decrease":[120,155],"function,":[124],"then":[125],"temporary":[127],"enrichment":[128],"cutting":[131],"plane":[132],"approximation":[133],"just":[135],"first":[137],"function":[140],"takes":[141],"place":[142],"until":[143],"either":[144],"termination":[146],"algorithm":[149],"certified":[151],"or":[152],"achieved.":[157],"convergence":[159],"BEM-DC":[162],"studied,":[165],"and":[166],"computational":[167],"results":[168],"academic":[173],"test":[174],"with":[176],"functions":[180],"are":[181],"provided.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}