{"id":"https://openalex.org/W4294310697","doi":"https://doi.org/10.1109/tsipn.2022.3203860","title":"A Hessian Inversion-Free Exact Second Order Method for Distributed Consensus Optimization","display_name":"A Hessian Inversion-Free Exact Second Order Method for Distributed Consensus Optimization","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4294310697","doi":"https://doi.org/10.1109/tsipn.2022.3203860"},"language":"en","primary_location":{"id":"doi:10.1109/tsipn.2022.3203860","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3203860","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/tsipn.2022.3203860","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070836307","display_name":"Du\u0161an Jakoveti\u0107","orcid":"https://orcid.org/0000-0003-3497-5589"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Dusan Jakovetic","raw_affiliation_strings":["Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029757006","display_name":"Nata\u0161a Kreji\u0107","orcid":"https://orcid.org/0000-0003-3348-7233"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Natasa Krejic","raw_affiliation_strings":["Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023718232","display_name":"Nata\u0161a Krklec Jerinki\u0107","orcid":"https://orcid.org/0000-0001-5195-9295"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Natasa Krklec Jerinkic","raw_affiliation_strings":["Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070836307"],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":null,"apc_paid":null,"fwci":1.105,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78574389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"755","last_page":"770"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9947999715805054,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/hessian-matrix","display_name":"Hessian matrix","score":0.8921248316764832},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5909361839294434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5436240434646606},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5009968280792236},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49802517890930176},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4968710243701935},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.45536723732948303},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4120481312274933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4010111689567566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3298895061016083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20252221822738647}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8921248316764832},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5909361839294434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5436240434646606},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5009968280792236},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49802517890930176},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4968710243701935},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.45536723732948303},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4120481312274933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4010111689567566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3298895061016083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20252221822738647},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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":1,"locations":[{"id":"doi:10.1109/tsipn.2022.3203860","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3203860","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tsipn.2022.3203860","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3203860","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W795408010","https://openalex.org/W1571416372","https://openalex.org/W1586554030","https://openalex.org/W1968191600","https://openalex.org/W1979205968","https://openalex.org/W2022296788","https://openalex.org/W2080335539","https://openalex.org/W2107501462","https://openalex.org/W2121820607","https://openalex.org/W2126430683","https://openalex.org/W2129122308","https://openalex.org/W2133086339","https://openalex.org/W2166329140","https://openalex.org/W2345689776","https://openalex.org/W2537046506","https://openalex.org/W2659643337","https://openalex.org/W2763533254","https://openalex.org/W2782375002","https://openalex.org/W2799114271","https://openalex.org/W2803565980","https://openalex.org/W2896691302","https://openalex.org/W2962860845","https://openalex.org/W2962970367","https://openalex.org/W2963172825","https://openalex.org/W2963196730","https://openalex.org/W2963952517","https://openalex.org/W2964165783","https://openalex.org/W2964183442","https://openalex.org/W2966711475","https://openalex.org/W2973303672","https://openalex.org/W2974313721","https://openalex.org/W2974774658","https://openalex.org/W2991772480","https://openalex.org/W3007193855","https://openalex.org/W3009520628","https://openalex.org/W3045691817","https://openalex.org/W3092262213","https://openalex.org/W3100513551","https://openalex.org/W3172556047","https://openalex.org/W3198165270","https://openalex.org/W3204947794","https://openalex.org/W4205624883","https://openalex.org/W4292335781","https://openalex.org/W4292363360","https://openalex.org/W4294310697","https://openalex.org/W6678922968","https://openalex.org/W6768055146","https://openalex.org/W6769630208"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W2983297293","https://openalex.org/W4388964614","https://openalex.org/W2972343833","https://openalex.org/W2996136316","https://openalex.org/W2970432723","https://openalex.org/W1560140409","https://openalex.org/W4244622228","https://openalex.org/W2463007134","https://openalex.org/W2489086843"],"abstract_inverted_index":{"We":[0,140],"consider":[1],"a":[2,9,93,126,194],"standard":[3],"distributed":[4,51],"consensus":[5],"optimization":[6,84,205],"problem":[7,206],"where":[8],"set":[10],"of":[11,21,31,37,49,57,67,82,146,156,187,221,223,236],"agents":[12],"connected":[13],"over":[14],"an":[15,234],"undirected":[16],"network":[17],"minimize":[18],"the":[19,80,83,106,114,122,154,159,164,188,199,219],"sum":[20],"their":[22],"individual":[23],"(local)":[24],"strongly":[25],"convex":[26],"costs.":[27],"Alternating":[28],"Direction":[29],"Method":[30,36],"Multipliers":[32,38],"(ADMM)":[33],"and":[34,148],"Proximal":[35],"(PMM)":[39],"have":[40],"been":[41],"proved":[42],"to":[43],"be":[44,76],"effective":[45],"frameworks":[46],"for":[47,100,108,202],"design":[48],"exact":[50,142],"second":[52],"order":[53,220,235],"methods":[54,63,190],"(involving":[55],"calculation":[56,66,162],"local":[58,68],"cost":[59,230],"Hessians).":[60],"However,":[61],"existing":[62,119],"involve":[64,137],"explicit":[65],"Hessian":[69,109,138],"inverses":[70],"at":[71,213,232],"each":[72],"iteration":[73],"that":[74,104,134,177],"may":[75],"very":[77],"costly":[78],"when":[79],"dimension":[81],"variable":[85],"is":[86,180],"large.":[87],"In":[88],"this":[89],"article,":[90],"we":[91],"develop":[92],"novel":[94],"method,":[95],"termed":[96],"Inexact":[97],"Newton":[98,123,160],"method":[99,130],"Distributed":[101],"Optimization":[102],"(INDO),":[103],"alleviates":[105],"need":[107],"inverse":[110],"calculation.":[111],"INDO":[112,147,225],"follows":[113],"PMM":[115],"framework":[116],"but,":[117],"unlike":[118],"work,":[120],"approximates":[121],"direction":[124,161],"through":[125],"generic":[127],"fixed":[128],"point":[129],"(e.g.,":[131],"Jacobi":[132],"Overrelaxation)":[133],"does":[135],"not":[136],"inverses.":[139],"prove":[141],"global":[143],"linear":[144],"convergence":[145,167],"provide":[149],"analytical":[150],"studies":[151],"on":[152,171,181,218],"how":[153],"degree":[155],"inexactness":[157],"in":[158,228],"affects":[163],"overall":[165],"method's":[166],"factor.":[168],"Numerical":[169],"experiments":[170],"several":[172],"real":[173],"data":[174],"sets":[175],"demonstrate":[176],"INDO's":[178],"speed":[179],"par":[182],"(or":[183],"better)":[184],"as":[185],"state":[186],"art":[189],"iteration-wise,":[191],"hence":[192],"having":[193],"comparable":[195],"communication":[196],"cost.":[197],"At":[198],"same":[200],"time,":[201],"sufficiently":[203],"large":[204],"dimensions":[207],"<inline-formula":[208,214],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[209,215],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[210,216],"notation=\"LaTeX\">$n$</tex-math></inline-formula>":[211,217],"(even":[212],"couple":[222],"hundreds),":[224],"achieves":[226],"savings":[227],"computational":[229],"by":[231],"least":[233],"magnitude.":[237]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
