{"id":"https://openalex.org/W2995073168","doi":"https://doi.org/10.1007/s10288-020-00454-x","title":"Improving ADMMs for solving doubly nonnegative programs through dual factorization","display_name":"Improving ADMMs for solving doubly nonnegative programs through dual factorization","publication_year":2020,"publication_date":"2020-09-10","ids":{"openalex":"https://openalex.org/W2995073168","doi":"https://doi.org/10.1007/s10288-020-00454-x","mag":"2995073168"},"language":"en","primary_location":{"id":"doi:10.1007/s10288-020-00454-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10288-020-00454-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10288-020-00454-x.pdf","source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10288-020-00454-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Martina Cerulli","orcid":"https://orcid.org/0000-0002-1189-5917"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martina Cerulli","raw_affiliation_strings":["Austria"],"raw_orcid":"https://orcid.org/0000-0002-1189-5917","affiliations":[{"raw_affiliation_string":"Austria","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Marianna De Santis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marianna De Santis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Elisabeth Gaar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elisabeth Gaar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Angelika Wiegele","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Angelika Wiegele","raw_affiliation_strings":["Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Austria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.5912,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60245427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"19","issue":"3","first_page":"415","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.97079998254776,"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":0.97079998254776,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.006200000178068876,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.0035000001080334187,"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/factorization","display_name":"Factorization","score":0.525600016117096},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4961000084877014},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.47450000047683716},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46540001034736633},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4521999955177307},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.4099000096321106},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.383899986743927},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.358599990606308}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5856000185012817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5493000149726868},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.525600016117096},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4961000084877014},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.47450000047683716},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46540001034736633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45890000462532043},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4521999955177307},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.4099000096321106},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.383899986743927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36329999566078186},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.358599990606308},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.33340001106262207},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.3095000088214874},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.30379998683929443},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.30160000920295715},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28859999775886536},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.2840000092983246},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.2680000066757202},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.2637999951839447}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10288-020-00454-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10288-020-00454-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10288-020-00454-x.pdf","source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1912.09851","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.09851","pdf_url":"https://arxiv.org/pdf/1912.09851","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-04429284v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04429284","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"4OR: A Quarterly Journal of Operations Research, 2020, 19 (3), pp.415-448. &#x27E8;10.1007/s10288-020-00454-x&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:aqjoor:v:19:y:2021:i:3:d:10.1007_s10288-020-00454-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10288-020-00454-x","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"},{"id":"pmh:oai:flore.unifi.it:2158/1350104","is_oa":false,"landing_page_url":"https://hdl.handle.net/2158/1350104","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1461938","is_oa":true,"landing_page_url":"https://hdl.handle.net/11573/1461938","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"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:uni-augsburg.opus-bayern.de:112273","is_oa":true,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-1122737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"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":null,"raw_type":"doc-type:article"}],"best_oa_location":{"id":"doi:10.1007/s10288-020-00454-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10288-020-00454-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10288-020-00454-x.pdf","source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1041234596","display_name":"Mixed-Integer Non-Linear Optimisation Applications","funder_award_id":"764759","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4563626322","display_name":"High-Performance Solvers for Binary Quadratic Problems","funder_award_id":"I 3199","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7197116505","display_name":null,"funder_award_id":"I 3199-N31","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995073168.pdf","grobid_xml":"https://content.openalex.org/works/W2995073168.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W79937293","https://openalex.org/W1977688827","https://openalex.org/W1982831910","https://openalex.org/W1992841740","https://openalex.org/W2046866204","https://openalex.org/W2061830070","https://openalex.org/W2081254453","https://openalex.org/W2114189119","https://openalex.org/W2142333440","https://openalex.org/W2607539118","https://openalex.org/W2766746521","https://openalex.org/W2952288495","https://openalex.org/W2963286475"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Alternating":[1],"direction":[2],"methods":[3,82,116],"of":[4,41,71,96,161,172,176,193,200],"multipliers":[5],"(ADMMs)":[6],"are":[7,35,45,83,159,166,231],"popular":[8],"approaches":[9],"to":[10,47,86,101,117,182,208,212,233,243],"handle":[11],"large":[12],"scale":[13],"semidefinite":[14,36],"programs":[15,32,37],"that":[16,79,158,220,230],"gained":[17],"attention":[18],"during":[19],"the":[20,39,42,57,72,108,124,162,170,174,177,184,187,194,198,205,210,234,239],"past":[21],"decade.":[22],"In":[23],"this":[24],"paper,":[25],"we":[26,62,226],"focus":[27],"on":[28,59,107],"solving":[29],"doubly":[30],"nonnegative":[31],"(DNN),":[33],"which":[34],"where":[38],"elements":[40],"matrix":[43],"variable":[44,179],"constrained":[46],"be":[48,145],"nonnegative.":[49],"Starting":[50],"from":[51,136],"two":[52,64],"algorithms":[53],"already":[54],"proposed":[55],"in":[56,151,180],"literature":[58],"conic":[60],"programming,":[61],"introduce":[63],"new":[65],"ADMMs":[66,249],"by":[67,121,130],"employing":[68],"a":[69,132,137,148,213,222,253],"factorization":[70,175],"dual":[73,125,133,138,178],"variable.":[74],"It":[75],"is":[76],"well":[77,203],"known":[78],"first":[80],"order":[81,181],"not":[84],"suitable":[85],"compute":[87,228],"high":[88,103],"precision":[89,98,245],"optimal":[90,94,110,140,188,235],"solutions,":[91],"however":[92],"an":[93,191],"solution":[95,135,189],"moderate":[97,244],"often":[99],"suffices":[100],"get":[102],"quality":[104],"lower":[105],"bounds":[106,120,229],"primal":[109],"objective":[111,126],"function":[112,127],"value.":[113],"We":[114],"present":[115],"obtain":[118],"such":[119],"either":[122],"perturbing":[123],"value":[128,236],"or":[129],"constructing":[131],"feasible":[134],"approximate":[139],"solution.":[141],"Both":[142],"procedures":[143],"can":[144,227],"used":[146],"as":[147,202,204],"post-processing":[149],"phase":[150],"our":[152],"ADMMs.":[153],"Numerical":[154],"results":[155],"for":[156],"DNNs":[157],"relaxations":[160],"stable":[163],"set":[164],"problem":[165],"presented.":[167],"They":[168],"show":[169],"impact":[171],"using":[173],"improve":[183],"progress":[185],"towards":[186],"within":[190,221,252],"iteration":[192],"ADMM.":[195],"This":[196,247],"decreases":[197],"number":[199],"iterations":[201],"CPU":[206],"time":[207],"solve":[209],"DNN":[211,240],"given":[214],"precision.":[215],"The":[216],"experiments":[217],"also":[218,251],"demonstrate":[219],"computationally":[223],"cheap":[224],"post-processing,":[225],"close":[232],"even":[237],"if":[238],"was":[241],"solved":[242],"only.":[246],"makes":[248],"applicable":[250],"branch-and-bound":[254],"algorithm.":[255]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2019-12-26T00:00:00"}
