{"id":"https://openalex.org/W4319296315","doi":"https://doi.org/10.1115/1.4056853","title":"Parallel Alternating Direction Primal-Dual (PADPD) Algorithm for Multi-Block Centralized Optimization","display_name":"Parallel Alternating Direction Primal-Dual (PADPD) Algorithm for Multi-Block Centralized Optimization","publication_year":2023,"publication_date":"2023-02-06","ids":{"openalex":"https://openalex.org/W4319296315","doi":"https://doi.org/10.1115/1.4056853"},"language":"en","primary_location":{"id":"doi:10.1115/1.4056853","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1115/1.4056853","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-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/A5081478567","display_name":"Seyyed Shaho Alaviani","orcid":"https://orcid.org/0000-0002-5059-6434"},"institutions":[{"id":"https://openalex.org/I4210115145","display_name":"University of Minnesota, Duluth","ror":"https://ror.org/01hy4qx27","country_code":"US","type":"education","lineage":["https://openalex.org/I4210115145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seyyed Shaho Alaviani","raw_affiliation_strings":["University of Minnesota Department of Mechanical and Industrial Engineering, , Duluth, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Minnesota Department of Mechanical and Industrial Engineering, , Duluth, MN","institution_ids":["https://openalex.org/I4210115145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063908561","display_name":"Atul Kelkar","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Atul G. Kelkar","raw_affiliation_strings":["Clemson University Department of Mechanical Engineering, , Clemson, SC 29634"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Clemson University Department of Mechanical Engineering, , Clemson, SC 29634","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3942,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51464542,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"23","issue":"5","first_page":null,"last_page":null},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9955999851226807,"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/algorithm","display_name":"Algorithm","score":0.6839061975479126},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6296020150184631},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5512356758117676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5180380940437317},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5171470046043396},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5127955079078674},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.47557535767555237},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4489240348339081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3669131100177765},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2880474328994751},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.11924266815185547}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6839061975479126},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6296020150184631},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5512356758117676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5180380940437317},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5171470046043396},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5127955079078674},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.47557535767555237},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4489240348339081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3669131100177765},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2880474328994751},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.11924266815185547},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4056853","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1115/1.4056853","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W750844137","https://openalex.org/W1549332216","https://openalex.org/W1553365534","https://openalex.org/W1583497301","https://openalex.org/W1603765807","https://openalex.org/W1968191600","https://openalex.org/W1986931325","https://openalex.org/W1991891650","https://openalex.org/W1992841740","https://openalex.org/W1994332048","https://openalex.org/W2019569173","https://openalex.org/W2038497950","https://openalex.org/W2042261731","https://openalex.org/W2045079045","https://openalex.org/W2046387702","https://openalex.org/W2055467852","https://openalex.org/W2057624533","https://openalex.org/W2070291355","https://openalex.org/W2082805096","https://openalex.org/W2089887069","https://openalex.org/W2107941784","https://openalex.org/W2108970807","https://openalex.org/W2111076441","https://openalex.org/W2116174279","https://openalex.org/W2129131372","https://openalex.org/W2140206057","https://openalex.org/W2145096794","https://openalex.org/W2210533708","https://openalex.org/W2277973662","https://openalex.org/W2595840341","https://openalex.org/W2766757233","https://openalex.org/W2774906082","https://openalex.org/W2886528011","https://openalex.org/W2889647488","https://openalex.org/W2912074073","https://openalex.org/W2921041872","https://openalex.org/W2962704982","https://openalex.org/W2963000588","https://openalex.org/W2963654173","https://openalex.org/W2964328380","https://openalex.org/W2968901045","https://openalex.org/W3027349638","https://openalex.org/W3027891624","https://openalex.org/W3036065625","https://openalex.org/W3045691817","https://openalex.org/W4210346771","https://openalex.org/W4250589301","https://openalex.org/W4250955649","https://openalex.org/W4292363360","https://openalex.org/W4294690571","https://openalex.org/W6632874414","https://openalex.org/W6648348243","https://openalex.org/W6662060908","https://openalex.org/W6668169227","https://openalex.org/W6673252733","https://openalex.org/W6753679056","https://openalex.org/W6759297649","https://openalex.org/W6807827278","https://openalex.org/W6842532568"],"related_works":["https://openalex.org/W4378529241","https://openalex.org/W2483828597","https://openalex.org/W2088213153","https://openalex.org/W2921318248","https://openalex.org/W4292651679","https://openalex.org/W2400034325","https://openalex.org/W2499557797","https://openalex.org/W2985014567","https://openalex.org/W4299515259","https://openalex.org/W2032676126"],"abstract_inverted_index":{"Abstract":[0],"In":[1,36],"this":[2],"article,":[3],"a":[4,183],"centralized":[5],"two-block":[6],"separable":[7],"convex":[8],"optimization":[9,18,148],"with":[10,63],"equality":[11],"constraint":[12],"and":[13,85,93],"its":[14,154],"extension":[15],"to":[16,144,199],"multi-block":[17,147],"are":[19,42,100,195],"considered.":[20],"The":[21,55,138],"first":[22],"fully":[23,167],"parallel":[24],"primal-dual":[25],"discrete-time":[26,68],"algorithm":[27,56,99,109,124,139,157,180],"called":[28],"Parallel":[29,77],"Alternating":[30,49],"Direction":[31,50,80],"Primal-Dual":[32,86],"(PADPD)":[33],"is":[34,115,131,166,175],"proposed.":[35],"the":[37,39,97,104,108,118,123,170],"algorithm,":[38],"primal":[40,92],"variables":[41,95],"updated":[43,101],"in":[44,96,197],"an":[45],"alternating":[46],"fashion":[47],"like":[48],"Method":[51,72,81],"of":[52,60,73,82,107,120,122,189,202],"Multipliers":[53,74,83],"(ADMM).":[54],"can":[57,110,140,160,181],"handle":[58],"non-smoothness":[59],"objective":[61],"functions":[62,130],"strong":[64],"convergence.":[65,155],"Unlike":[66],"existing":[67],"algorithms":[69],"such":[70],"as":[71],"(MM),":[75],"ADMM,":[76,78],"Bi-Alternating":[79],"(Bi-ADMM),":[84],"Fixed":[87],"Point":[88],"(PDFP)":[89],"algorithms,":[90],"all":[91],"dual":[94],"proposed":[98],"independently.":[102],"Therefore,":[103],"time":[105],"complexity":[106],"be":[111,141],"significantly":[112],"reduced.":[113],"It":[114],"shown":[116],"that":[117,178,188],"rate":[119,186],"convergence":[121,185],"for":[125,169],"quadratic":[126],"or":[127,133],"linear":[128,134],"cost":[129],"exponential":[132],"under":[135],"suitable":[136],"assumptions.":[137],"directly":[142],"extended":[143],"any":[145],"finite":[146],"without":[149],"further":[150],"assumptions":[151],"while":[152],"preserving":[153],"PADPD":[156,179,203],"not":[158],"only":[159],"compute":[161],"more":[162],"iterations":[163],"(since":[164],"it":[165,174],"parallel)":[168],"same":[171],"time-step":[172],"but":[173],"also":[176],"possible":[177],"have":[182],"faster":[184],"than":[187],"ADMM.":[190],"Finally,":[191],"two":[192],"numerical":[193],"examples":[194],"provided":[196],"order":[198],"show":[200],"advantage":[201],"algorithm.":[204]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}