{"id":"https://openalex.org/W2743676316","doi":"https://doi.org/10.1109/icassp.2018.8462630","title":"Distributed Solution of Large-Scale Linear Systems Via Accelerated Projection-Based Consensus","display_name":"Distributed Solution of Large-Scale Linear Systems Via Accelerated Projection-Based Consensus","publication_year":2018,"publication_date":"2018-04-01","ids":{"openalex":"https://openalex.org/W2743676316","doi":"https://doi.org/10.1109/icassp.2018.8462630","mag":"2743676316"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2018.8462630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2018.8462630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1708.01413","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005748450","display_name":"Navid Azizan","orcid":"https://orcid.org/0000-0002-4299-2963"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Navid Azizan-Ruhi","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA","California Institute of Technology Pasadena 91125 CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA","institution_ids":[]},{"raw_affiliation_string":"California Institute of Technology Pasadena 91125 CA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071294208","display_name":"Farshad Lahouti","orcid":"https://orcid.org/0000-0002-8729-873X"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Farshad Lahouti","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA","California Institute of Technology Pasadena 91125 CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA","institution_ids":[]},{"raw_affiliation_string":"California Institute of Technology Pasadena 91125 CA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Salman Avestimehr","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Salman Avestimehr","raw_affiliation_strings":["University of Southern California, Los Angeles, CA","University of Southern California, Los Angeles, CA 90007"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, CA","institution_ids":[]},{"raw_affiliation_string":"University of Southern California, Los Angeles, CA 90007","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA","California Institute of Technology Pasadena 91125 CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA","institution_ids":[]},{"raw_affiliation_string":"California Institute of Technology Pasadena 91125 CA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5069,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7239304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"37","issue":"14","first_page":"3806","last_page":"3817"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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":0.9994999766349792,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9866999983787537,"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/computer-science","display_name":"Computer science","score":0.6866337656974792},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6437762379646301},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5577302575111389},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5145879983901978},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.5119038820266724},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5022542476654053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4905228018760681},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.48160120844841003},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4398086667060852},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4258568286895752},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.4237053096294403},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42314398288726807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27699756622314453},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.18292245268821716},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16080105304718018},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.14123088121414185},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.11262300610542297}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6866337656974792},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6437762379646301},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5577302575111389},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5145879983901978},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.5119038820266724},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5022542476654053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4905228018760681},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.48160120844841003},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4398086667060852},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4258568286895752},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.4237053096294403},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42314398288726807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27699756622314453},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.18292245268821716},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16080105304718018},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.14123088121414185},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.11262300610542297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/icassp.2018.8462630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2018.8462630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"doi:10.1109/tsp.2019.2917855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2917855","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1708.01413","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1708.01413","pdf_url":"https://arxiv.org/pdf/1708.01413","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"mag:2743676316","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1708.01413.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:authors.library.caltech.edu:89783","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/89783/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:authors.library.caltech.edu:96231","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/96231/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1708.01413","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1708.01413","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1708.01413","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1708.01413","pdf_url":"https://arxiv.org/pdf/1708.01413","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W130696423","https://openalex.org/W1549918636","https://openalex.org/W1574975351","https://openalex.org/W1616857247","https://openalex.org/W1976013620","https://openalex.org/W1982545958","https://openalex.org/W1986080131","https://openalex.org/W1988720110","https://openalex.org/W2030942503","https://openalex.org/W2050949736","https://openalex.org/W2067561390","https://openalex.org/W2074796812","https://openalex.org/W2097460613","https://openalex.org/W2123705108","https://openalex.org/W2164278908","https://openalex.org/W2397786159","https://openalex.org/W2567931453","https://openalex.org/W2626045462","https://openalex.org/W2911706765","https://openalex.org/W2951781666","https://openalex.org/W2963499584","https://openalex.org/W2964102336","https://openalex.org/W4292363360","https://openalex.org/W6605358575","https://openalex.org/W6632668981","https://openalex.org/W6680402377","https://openalex.org/W6684249991","https://openalex.org/W6761030284","https://openalex.org/W7061399666"],"related_works":["https://openalex.org/W2948566442","https://openalex.org/W2996772556","https://openalex.org/W2016951453","https://openalex.org/W1803119066","https://openalex.org/W3098031270","https://openalex.org/W2491702393","https://openalex.org/W2567987570","https://openalex.org/W2949234170","https://openalex.org/W3132064677","https://openalex.org/W1998071347","https://openalex.org/W2907820928","https://openalex.org/W3208781130","https://openalex.org/W2008114469","https://openalex.org/W1556510858","https://openalex.org/W2288935408","https://openalex.org/W1528566150","https://openalex.org/W3134312801","https://openalex.org/W135019241","https://openalex.org/W3040586277","https://openalex.org/W2737902239"],"abstract_inverted_index":{"Solving":[0],"a":[1,8,45,53,58,63,76,83,102,208,218],"large-scale":[2,64],"system":[3,65,117],"of":[4,14,66,72,78,105,108,115,118,134,152,162,178,211],"linear":[5,67,183],"equations":[6,68,74],"is":[7,28,138],"key":[9],"step":[10],"at":[11,92],"the":[12,25,42,73,106,113,121,127,135,149,170,192,201,212,224,232],"heart":[13],"many":[15],"algorithms":[16],"in":[17,44,56,90,140,231],"scientific":[18],"computing,":[19],"machine":[20,96],"learning,":[21],"and":[22,120,142,167,174,222],"beyond.":[23],"When":[24],"problem":[26],"dimension":[27],"large,":[29],"computational":[30],"and/or":[31],"memory":[32],"constraints":[33],"make":[34],"it":[35],"desirable,":[36],"or":[37],"even":[38],"necessary,":[39],"to":[40,61,145,199],"perform":[41],"task":[43],"distributed":[46,154,157,160,213,220],"fashion.":[47],"In":[48],"this":[49],"paper,":[50],"we":[51],"consider":[52],"common":[54],"scenario":[55],"which":[57,91,216],"taskmaster":[59,122],"intends":[60],"solve":[62],"by":[69,100],"distributing":[70],"subsets":[71],"among":[75],"number":[77],"computing":[79],"machines/cores.":[80],"We":[81],"propose":[82],"new":[84],"algorithm":[85,137],"called":[86],"Accelerated":[87],"Projection-based":[88],"Consensus,":[89],"each":[93],"iteration":[94],"every":[95],"updates":[97],"its":[98,116],"solution":[99],"adding":[101],"scaled":[103],"version":[104],"projection":[107],"an":[109,124],"error":[110],"signal":[111],"onto":[112],"nullspace":[114],"equations,":[119],"conducts":[123],"averaging":[125],"over":[126],"solutions":[128],"with":[129,148],"momentum.":[130],"The":[131],"convergence":[132,150,227],"behavior":[133],"proposed":[136,193,233],"analyzed":[139],"detail":[141],"analytically":[143],"shown":[144],"compare":[146],"favorably":[147],"rate":[151,228],"alternative":[153],"methods,":[155],"namely":[156],"gradient":[158,165],"descent,":[159],"versions":[161],"Nesterov's":[163],"accelerated":[164],"descent":[166],"heavy-ball":[168,214],"method,":[169,173,215],"block":[171],"Cimmino":[172],"Alternating":[175],"Direction":[176],"Method":[177],"Multipliers.":[179],"On":[180],"randomly":[181],"chosen":[182],"systems,":[184],"as":[185,187,229],"well":[186],"on":[188],"real-world":[189],"data":[190],"sets,":[191],"method":[194],"offers":[195],"significant":[196],"speed-up":[197],"relative":[198],"all":[200],"aforementioned":[202],"methods.":[203],"Finally,":[204],"our":[205],"analysis":[206],"suggests":[207],"novel":[209],"variation":[210],"employs":[217],"particular":[219],"preconditioning":[221],"achieves":[223],"same":[225],"theoretical":[226],"that":[230],"consensus-based":[234],"method.":[235]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}