{"id":"https://openalex.org/W4312458443","doi":"https://doi.org/10.1109/tac.2022.3219289","title":"Quantized Distributed Gradient Tracking Algorithm With Linear Convergence in Directed Networks","display_name":"Quantized Distributed Gradient Tracking Algorithm With Linear Convergence in Directed Networks","publication_year":2022,"publication_date":"2022-11-04","ids":{"openalex":"https://openalex.org/W4312458443","doi":"https://doi.org/10.1109/tac.2022.3219289"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3219289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3219289","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5078102778","display_name":"Yongyang Xiong","orcid":"https://orcid.org/0000-0001-9500-2049"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongyang Xiong","raw_affiliation_strings":["Department of Automation, Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108047839","display_name":"Ligang Wu","orcid":"https://orcid.org/0000-0001-8198-5267"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ligang Wu","raw_affiliation_strings":["Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088962631","display_name":"Keyou You","orcid":"https://orcid.org/0000-0003-4355-5340"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keyou You","raw_affiliation_strings":["Department of Automation, Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lihua Xie","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078102778"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":5.3842,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.96161145,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"68","issue":"9","first_page":"5638","last_page":"5645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9965000152587891,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9936000108718872,"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/quantization","display_name":"Quantization (signal processing)","score":0.7488428354263306},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.7481480240821838},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6496339440345764},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5523855090141296},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5105115175247192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4791635572910309},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.472265362739563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4682057499885559},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41862356662750244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32260560989379883},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.10986095666885376}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7488428354263306},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.7481480240821838},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6496339440345764},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5523855090141296},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5105115175247192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4791635572910309},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.472265362739563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4682057499885559},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41862356662750244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32260560989379883},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.10986095666885376},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3219289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3219289","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1415193819","display_name":null,"funder_award_id":"62203254","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3614370970","display_name":null,"funder_award_id":"ZD2021F001","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G7676143151","display_name":null,"funder_award_id":"62033005","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"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W2044212084","https://openalex.org/W2059529072","https://openalex.org/W2091863325","https://openalex.org/W2094813068","https://openalex.org/W2137435346","https://openalex.org/W2161874107","https://openalex.org/W2737743075","https://openalex.org/W2748196763","https://openalex.org/W2763533254","https://openalex.org/W2773221161","https://openalex.org/W2792751837","https://openalex.org/W2917189468","https://openalex.org/W2918319534","https://openalex.org/W2919725712","https://openalex.org/W2962771678","https://openalex.org/W2963385547","https://openalex.org/W2963649943","https://openalex.org/W2963940890","https://openalex.org/W2965142130","https://openalex.org/W3000735016","https://openalex.org/W3006548771","https://openalex.org/W3011663138","https://openalex.org/W3020195588","https://openalex.org/W3021250017","https://openalex.org/W3022064003","https://openalex.org/W3035449881","https://openalex.org/W3040132427","https://openalex.org/W3081955893","https://openalex.org/W3096577336","https://openalex.org/W3099715789","https://openalex.org/W3100513551","https://openalex.org/W3110514869","https://openalex.org/W3119622507","https://openalex.org/W4229706427","https://openalex.org/W4287607160","https://openalex.org/W4289927764","https://openalex.org/W4312458443","https://openalex.org/W6779452467","https://openalex.org/W6780530786","https://openalex.org/W6784512781","https://openalex.org/W6793429071"],"related_works":["https://openalex.org/W1657880117","https://openalex.org/W2595172197","https://openalex.org/W2127970246","https://openalex.org/W2084856301","https://openalex.org/W1001352512","https://openalex.org/W4382618745","https://openalex.org/W2885125400","https://openalex.org/W1989889224","https://openalex.org/W1987128138","https://openalex.org/W2748922771"],"abstract_inverted_index":{"Communication":[0],"efficiency":[1,104],"is":[2],"a":[3,24,48,58],"major":[4],"bottleneck":[5],"in":[6],"the":[7,14,16,31,75,89,103,106],"applications":[8],"of":[9,18,26,30,61,77,105],"distributed":[10,20,34,51],"networks.":[11,67],"To":[12,41],"address":[13],"problem,":[15],"problem":[17],"quantized":[19,33,50,94],"optimization":[21,35],"has":[22],"attracted":[23],"lot":[25],"attention.":[27],"However,":[28],"most":[29],"existing":[32],"algorithms":[36],"can":[37,84],"only":[38],"converge":[39,85],"sublinearly.":[40],"achieve":[42],"linear":[43],"convergence,":[44],"this":[45],"article":[46],"proposes":[47],"novel":[49],"gradient":[52],"tracking":[53],"algorithm":[54],"(Q-DGT)":[55],"to":[56],"minimize":[57],"finite":[59],"sum":[60],"local":[62],"objective":[63],"functions":[64],"over":[65],"directed":[66],"Moreover,":[68],"we":[69],"explicitly":[70],"derive":[71],"lower":[72],"bounds":[73],"for":[74],"number":[76],"quantization":[78,97],"levels,":[79],"and":[80],"prove":[81],"that":[82],"Q-DGT":[83],"linearly":[86],"even":[87],"when":[88],"exchanged":[90],"variables":[91],"are":[92],"respectively":[93],"with":[95],"three":[96],"levels.":[98],"Numerical":[99],"results":[100],"also":[101],"confirm":[102],"proposed":[107],"algorithm.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
