{"id":"https://openalex.org/W3011310721","doi":"https://doi.org/10.1155/2020/1390963","title":"A Distributed Conjugate Gradient Online Learning Method over Networks","display_name":"A Distributed Conjugate Gradient Online Learning Method over Networks","publication_year":2020,"publication_date":"2020-03-11","ids":{"openalex":"https://openalex.org/W3011310721","doi":"https://doi.org/10.1155/2020/1390963","mag":"3011310721"},"language":"en","primary_location":{"id":"doi:10.1155/2020/1390963","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/1390963","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/1390963.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/1390963.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100888866","display_name":"Cuixia Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cuixia Xu","raw_affiliation_strings":["School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050705532","display_name":"Junlong Zhu","orcid":"https://orcid.org/0000-0002-6411-7035"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junlong Zhu","raw_affiliation_strings":["School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120393203","display_name":"Youlin Shang","orcid":"https://orcid.org/0000-0002-9859-4040"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youlin Shang","raw_affiliation_strings":["School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080439384","display_name":"Qingtao Wu","orcid":"https://orcid.org/0000-0003-1572-5293"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingtao Wu","raw_affiliation_strings":["School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050705532"],"corresponding_institution_ids":["https://openalex.org/I167383011"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.1617,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50954223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"13"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9927999973297119,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.811130940914154},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.7150784730911255},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6890618801116943},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6769876480102539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6606694459915161},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.5286486744880676},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.43104827404022217},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42602401971817017},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.34975481033325195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2426237165927887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21747905015945435},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.17043337225914001},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09274241328239441}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.811130940914154},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.7150784730911255},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6890618801116943},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6769876480102539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6606694459915161},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.5286486744880676},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.43104827404022217},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42602401971817017},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.34975481033325195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2426237165927887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21747905015945435},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.17043337225914001},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09274241328239441},{"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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/1390963","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/1390963","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/1390963.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:1390963","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/1390963.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:d95fe39f11f64b7f880273763cfd3b24","is_oa":true,"landing_page_url":"https://doaj.org/article/d95fe39f11f64b7f880273763cfd3b24","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/1390963","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/1390963","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/1390963","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/1390963","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/1390963.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1326370026","display_name":null,"funder_award_id":"61871430","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1413938862","display_name":null,"funder_award_id":"61976243","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5222901678","display_name":null,"funder_award_id":"11471102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6056792631","display_name":null,"funder_award_id":"20zx001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8047355833","display_name":null,"funder_award_id":"19zx010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G996946429","display_name":null,"funder_award_id":"192102210284","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3011310721.pdf","grobid_xml":"https://content.openalex.org/works/W3011310721.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1643746074","https://openalex.org/W1686475922","https://openalex.org/W1974513678","https://openalex.org/W1993192928","https://openalex.org/W1998169401","https://openalex.org/W2002356046","https://openalex.org/W2016879831","https://openalex.org/W2044212084","https://openalex.org/W2067693696","https://openalex.org/W2069231830","https://openalex.org/W2083770700","https://openalex.org/W2090351291","https://openalex.org/W2097380742","https://openalex.org/W2108560279","https://openalex.org/W2129122308","https://openalex.org/W2148087609","https://openalex.org/W2149778463","https://openalex.org/W2344279181","https://openalex.org/W2400794236","https://openalex.org/W2761385453","https://openalex.org/W2790589536","https://openalex.org/W2901202555","https://openalex.org/W2932390073","https://openalex.org/W2947030579","https://openalex.org/W2963433607","https://openalex.org/W2963607435","https://openalex.org/W2969350121","https://openalex.org/W3101665129","https://openalex.org/W3106211621","https://openalex.org/W4238850922","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2207919472","https://openalex.org/W2098528027","https://openalex.org/W2355738879","https://openalex.org/W2740262376","https://openalex.org/W2371381925","https://openalex.org/W2369191856","https://openalex.org/W2350706414","https://openalex.org/W2356977358","https://openalex.org/W2384571804","https://openalex.org/W3152814152"],"abstract_inverted_index":{"In":[0],"a":[1,7,71,79,88,119,141],"distributed":[2,72],"online":[3,73],"optimization":[4],"problem":[5,35],"with":[6,53],"convex":[8,21],"constrained":[9],"set":[10,89],"over":[11,24],"an":[12,54,105],"undirected":[13],"multiagent":[14],"network,":[15],"the":[16,28,39,45,57,63,67,84,99,111,114,132,145,148],"local":[17],"objective":[18],"functions":[19],"are":[20,36,87,93,102],"and":[22,98,117],"vary":[23],"time.":[25],"Most":[26],"of":[27,48,59,66,90,113,122,134,147],"existing":[29],"methods":[30,50],"used":[31],"to":[32,95],"solve":[33],"this":[34],"based":[37],"on":[38,140],"fastest":[40],"gradient":[41,75,80],"descent":[42],"method.":[43],"However,":[44],"convergence":[46,64,112],"speed":[47,65],"these":[49],"is":[51,131],"decreased":[52],"increase":[55],"in":[56,82],"number":[58,133],"iterations.":[60,135],"To":[61],"accelerate":[62],"algorithm,":[68,76],"we":[69],"present":[70],"conjugate":[74],"different":[77],"from":[78],"method,":[81],"which":[83],"search":[85],"directions":[86],"vectors":[91],"that":[92],"conjugated":[94],"each":[96],"other":[97],"step":[100],"sizes":[101],"obtained":[103,118],"through":[104],"accurate":[106],"line":[107],"search.":[108],"We":[109],"analyzed":[110],"algorithm":[115],"theoretically":[116],"regret":[120],"bound":[121],"<mml:math":[123],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[124],"id=\"M1\"><mml:mrow><mml:mi>O</mml:mi><mml:mfenced":[125],"open=\"(\"":[126],"close=\")\"":[127],"separators=\"|\"><mml:mrow><mml:msqrt><mml:mi>T</mml:mi></mml:msqrt></mml:mrow></mml:mfenced></mml:mrow></mml:math>,":[128],"where":[129],"T":[130],"Finally,":[136],"numerical":[137],"experiments":[138],"conducted":[139],"sensor":[142],"network":[143],"demonstrate":[144],"performance":[146],"proposed":[149],"algorithm.":[150]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
