{"id":"https://openalex.org/W2782518123","doi":"https://doi.org/10.1109/cdc.2017.8263795","title":"Network flows as least squares solvers for linear equations","display_name":"Network flows as least squares solvers for linear equations","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2782518123","doi":"https://doi.org/10.1109/cdc.2017.8263795","mag":"2782518123"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8263795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8263795","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5100654085","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0002-4308-2195"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Yang Liu","raw_affiliation_strings":["Research School of Engineering, The Australian National University, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Engineering, The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087956848","display_name":"Youcheng Lou","orcid":"https://orcid.org/0000-0002-1112-4100"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youcheng Lou","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015736743","display_name":"Brian D. O. Anderson","orcid":"https://orcid.org/0000-0002-1493-4774"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Brian D. O. Anderson","raw_affiliation_strings":["Research School of Engineering, The Australian National University, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Engineering, The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101779749","display_name":"Guodong Shi","orcid":"https://orcid.org/0000-0002-5929-9655"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Guodong Shi","raw_affiliation_strings":["Research School of Engineering, The Australian National University, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Engineering, The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100654085"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":1.3137,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84215896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"42","issue":null,"first_page":"1046","last_page":"1051"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9943000078201294,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.8183640241622925},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7448479533195496},{"id":"https://openalex.org/keywords/square-integrable-function","display_name":"Square-integrable function","score":0.6142839193344116},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.57326740026474},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5016040802001953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48332643508911133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44966450333595276},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.4393385648727417},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3808097839355469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23189574480056763}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.8183640241622925},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7448479533195496},{"id":"https://openalex.org/C75413324","wikidata":"https://www.wikidata.org/wiki/Q1530791","display_name":"Square-integrable function","level":2,"score":0.6142839193344116},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.57326740026474},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5016040802001953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48332643508911133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44966450333595276},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.4393385648727417},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3808097839355469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23189574480056763},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2017.8263795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8263795","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/204531","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/204531","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1683514625","https://openalex.org/W2019950225","https://openalex.org/W2026509976","https://openalex.org/W2044212084","https://openalex.org/W2067561390","https://openalex.org/W2072166563","https://openalex.org/W2081092264","https://openalex.org/W2107396783","https://openalex.org/W2114791779","https://openalex.org/W2119434824","https://openalex.org/W2137435346","https://openalex.org/W2153486647","https://openalex.org/W2158064355","https://openalex.org/W2164642931","https://openalex.org/W2476521905","https://openalex.org/W2567931453","https://openalex.org/W2765414978","https://openalex.org/W2963125098","https://openalex.org/W2964255343","https://openalex.org/W4229706427","https://openalex.org/W4231144031","https://openalex.org/W6637408259","https://openalex.org/W6655305194"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W4297960547","https://openalex.org/W2081047164","https://openalex.org/W4285523292","https://openalex.org/W4286418893","https://openalex.org/W2145045474","https://openalex.org/W2046580780"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,16,71],"first-order":[4],"continuous-time":[5],"distributed":[6],"step-size":[7],"algorithm":[8],"for":[9,36,52],"computing":[10],"the":[11,22,25,31,40,48,60,67],"least":[12],"squares":[13],"solution":[14,26,42],"to":[15],"linear":[17],"equation":[18],"over":[19],"networks.":[20],"Given":[21],"uniqueness":[23],"of":[24],"and":[27,43,62],"nonintegrable":[28],"step":[29,46],"size,":[30,47],"convergence":[32,49,68],"results":[33,61],"are":[34],"provided":[35],"fixed":[37],"graphs.":[38,56],"For":[39],"nonunique":[41],"square":[44],"integrable":[45],"is":[50],"shown":[51],"constantly":[53],"connected":[54],"switching":[55],"We":[57],"also":[58],"validate":[59],"illustrate":[63],"possible":[64],"impacts":[65],"on":[66],"speed":[69],"using":[70],"few":[72],"numerical":[73],"examples.":[74]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}