{"id":"https://openalex.org/W3166352853","doi":"https://doi.org/10.1109/lsp.2021.3084510","title":"Distributed Newton Method Over Graphs: Can Sharing of Second-Order Information Eliminate the Condition Number Dependence?","display_name":"Distributed Newton Method Over Graphs: Can Sharing of Second-Order Information Eliminate the Condition Number Dependence?","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3166352853","doi":"https://doi.org/10.1109/lsp.2021.3084510","mag":"3166352853"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2021.3084510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2021.3084510","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","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/A5066686429","display_name":"Erik Berglund","orcid":"https://orcid.org/0000-0002-8872-8885"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Erik Berglund","raw_affiliation_strings":["Division of Decision and Control Systems, School of EECS, KTH Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-8872-8885","affiliations":[{"raw_affiliation_string":"Division of Decision and Control Systems, School of EECS, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054704457","display_name":"Sindri Magn\u00fasson","orcid":"https://orcid.org/0000-0002-6617-8683"},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Sindri Magn\u00fasson","raw_affiliation_strings":["Department of Computer and Systems Sciences, Stockholm University, Stockholm, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-6617-8683","affiliations":[{"raw_affiliation_string":"Department of Computer and Systems Sciences, Stockholm University, Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024256519","display_name":"Mikael Johansson","orcid":"https://orcid.org/0000-0002-2237-2580"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Mikael Johansson","raw_affiliation_strings":["Division of Decision and Control Systems, School of EECS, KTH Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Decision and Control Systems, School of EECS, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066686429"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.4804,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66000735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"28","issue":null,"first_page":"1180","last_page":"1184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9987000226974487,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9957000017166138,"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/hessian-matrix","display_name":"Hessian matrix","score":0.7956370115280151},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6453557014465332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6123074293136597},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5541295409202576},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5477603077888489},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5329042077064514},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5052140355110168},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.503363311290741},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.4619346857070923},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46100327372550964},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4548810124397278},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37128955125808716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3620367646217346},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2867737412452698},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1892891824245453}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.7956370115280151},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6453557014465332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6123074293136597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5541295409202576},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5477603077888489},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5329042077064514},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5052140355110168},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.503363311290741},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.4619346857070923},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46100327372550964},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4548810124397278},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37128955125808716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3620367646217346},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2867737412452698},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1892891824245453},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2021.3084510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2021.3084510","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320939","display_name":"Swedish Foundation for International Cooperation in Research and Higher Education","ror":"https://ror.org/0561xc723"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1603765807","https://openalex.org/W2044212084","https://openalex.org/W2074796812","https://openalex.org/W2142184324","https://openalex.org/W2145574455","https://openalex.org/W2160643434","https://openalex.org/W2291434103","https://openalex.org/W2523259601","https://openalex.org/W2537046506","https://openalex.org/W2617089797","https://openalex.org/W2763533254","https://openalex.org/W2811008754","https://openalex.org/W2925143323","https://openalex.org/W2963116103","https://openalex.org/W2963596156","https://openalex.org/W2963724567","https://openalex.org/W2964183442","https://openalex.org/W3100513551","https://openalex.org/W3102661755","https://openalex.org/W3120740533","https://openalex.org/W3141595720","https://openalex.org/W4320800818","https://openalex.org/W6760585421"],"related_works":["https://openalex.org/W1887191277","https://openalex.org/W1607154928","https://openalex.org/W3004956525","https://openalex.org/W2005930910","https://openalex.org/W2334954212","https://openalex.org/W1965976175","https://openalex.org/W2964285269","https://openalex.org/W3049601810","https://openalex.org/W3021551195","https://openalex.org/W2984918611"],"abstract_inverted_index":{"One":[0],"of":[1,5,21,37,80,108,122,131,135],"the":[2,18,22,38,43,49,78,98,106,127,132,138],"main":[3],"advantages":[4],"second-order":[6,84,109],"methods":[7],"in":[8,120],"a":[9,81],"centralized":[10],"setting":[11],"is":[12,40,130],"that":[13,34,91,105],"they":[14],"are":[15],"insensitive":[16],"to":[17,45],"condition":[19,62,99,128],"number":[20,63,129],"objective":[23],"function's":[24],"Hessian.":[25],"For":[26],"applications":[27],"such":[28],"as":[29,48,59,137],"regression":[30],"analysis,":[31],"this":[32,74],"means":[33],"less":[35],"pre-processing":[36],"data":[39],"required":[41],"for":[42,70],"algorithm":[44,85],"work":[46],"well,":[47],"ill-conditioning":[50],"caused":[51],"by":[52],"highly":[53],"correlated":[54],"variables":[55],"will":[56],"not":[57,66],"be":[58],"problematic.":[60],"Similar":[61],"independence":[64],"has":[65],"yet":[67],"been":[68],"established":[69],"distributed":[71,83],"methods.":[72],"In":[73],"paper,":[75],"we":[76],"analyze":[77],"performance":[79],"simple":[82],"on":[86,97],"quadratic":[87],"problems":[88],"and":[89,124],"show":[90],"its":[92],"convergence":[93],"depends":[94],"only":[95],"logarithmically":[96],"number.":[100],"Our":[101],"empirical":[102],"results":[103],"indicate":[104],"use":[107],"information":[110],"can":[111],"yield":[112],"large":[113],"efficiency":[114],"improvements":[115],"over":[116],"first-order":[117],"methods,":[118],"both":[119],"terms":[121],"iterations":[123],"communications,":[125],"when":[126],"same":[133],"order":[134],"magnitude":[136],"problem":[139],"dimension.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}