{"id":"https://openalex.org/W3169467369","doi":"https://doi.org/10.1109/tnnls.2022.3172450","title":"Distributed Constrained Optimization With Delayed Subgradient Information Over Time-Varying Network Under Adaptive Quantization","display_name":"Distributed Constrained Optimization With Delayed Subgradient Information Over Time-Varying Network Under Adaptive Quantization","publication_year":2022,"publication_date":"2022-05-12","ids":{"openalex":"https://openalex.org/W3169467369","doi":"https://doi.org/10.1109/tnnls.2022.3172450","mag":"3169467369","pmid":"https://pubmed.ncbi.nlm.nih.gov/35552140"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3172450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3172450","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://scholars.cityu.edu.hk/en/publications/distributed-constrained-optimization-with-delayed-subgradient-inf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044520077","display_name":"Jie Liu","orcid":"https://orcid.org/0000-0003-0470-717X"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Jie Liu","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100750128","display_name":"Zhan Yu","orcid":"https://orcid.org/0000-0002-2194-0101"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zhan Yu","raw_affiliation_strings":["School of Data Science, City University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"School of Data Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084476585","display_name":"Daniel W. C. Ho","orcid":"https://orcid.org/0000-0001-9799-3712"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Daniel W. C. Ho","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044520077"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":1.9985,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86364017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"35","issue":"1","first_page":"143","last_page":"156"},"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/T11133","display_name":"UAV Applications and Optimization","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9855999946594238,"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/subgradient-method","display_name":"Subgradient method","score":0.929295539855957},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.7395449876785278},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.5863919258117676},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5095596313476562},{"id":"https://openalex.org/keywords/learning-vector-quantization","display_name":"Learning vector quantization","score":0.4994962215423584},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4917319118976593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4815252423286438},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.481160044670105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43677008152008057},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.43618083000183105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.419411301612854},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.2726767659187317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.24371150135993958},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.21477264165878296},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20797935128211975}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.929295539855957},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7395449876785278},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.5863919258117676},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5095596313476562},{"id":"https://openalex.org/C40567965","wikidata":"https://www.wikidata.org/wiki/Q1820283","display_name":"Learning vector quantization","level":3,"score":0.4994962215423584},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4917319118976593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4815252423286438},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.481160044670105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43677008152008057},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.43618083000183105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.419411301612854},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.2726767659187317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.24371150135993958},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.21477264165878296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20797935128211975},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tnnls.2022.3172450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3172450","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/distributed-constrained-optimization-with-delayed-subgradient-inf","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:35552140","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35552140","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null},{"id":"pmh:oai:pure.atira.dk:publications/c6c762f0-ef88-4bdb-b6dc-1fca97a7b333","is_oa":true,"landing_page_url":"https://hdl.handle.net/2031/c6c762f0-ef88-4bdb-b6dc-1fca97a7b333","pdf_url":"https://scholars.cityu.edu.hk/files/164001296/105955153.pdf","source":{"id":"https://openalex.org/S7407055387","display_name":"CityU Scholars","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Liu, J, Yu, Z & Ho, D W C 2024, 'Distributed Constrained Optimization With Delayed Subgradient Information Over Time-Varying Network Under Adaptive Quantization', IEEE Transactions on Neural Networks and Learning Systems, vol. 35, no. 1, pp. 143-156. https://doi.org/10.1109/TNNLS.2022.3172450","raw_type":"article"}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/distributed-constrained-optimization-with-delayed-subgradient-inf","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2526522256","display_name":null,"funder_award_id":"CityU 11202819","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G4593590361","display_name":null,"funder_award_id":"CityU 11203521","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1506295250","https://openalex.org/W1537931039","https://openalex.org/W1774067352","https://openalex.org/W1988901237","https://openalex.org/W1998880679","https://openalex.org/W2000512919","https://openalex.org/W2024175297","https://openalex.org/W2029463628","https://openalex.org/W2030582848","https://openalex.org/W2043791244","https://openalex.org/W2044212084","https://openalex.org/W2046808776","https://openalex.org/W2049469158","https://openalex.org/W2076081546","https://openalex.org/W2089855386","https://openalex.org/W2091863325","https://openalex.org/W2094436758","https://openalex.org/W2107664305","https://openalex.org/W2114973703","https://openalex.org/W2133233009","https://openalex.org/W2148087609","https://openalex.org/W2211881362","https://openalex.org/W2215067230","https://openalex.org/W2248806424","https://openalex.org/W2273484141","https://openalex.org/W2341544006","https://openalex.org/W2526051344","https://openalex.org/W2550187414","https://openalex.org/W2569714389","https://openalex.org/W2584604366","https://openalex.org/W2592202249","https://openalex.org/W2751195795","https://openalex.org/W2765383110","https://openalex.org/W2802324011","https://openalex.org/W2884713680","https://openalex.org/W2907315007","https://openalex.org/W2949198759","https://openalex.org/W2952033860","https://openalex.org/W2963156126","https://openalex.org/W2963706461","https://openalex.org/W2964191394","https://openalex.org/W2990865024","https://openalex.org/W2998536873","https://openalex.org/W3002893602","https://openalex.org/W3016889113","https://openalex.org/W3025810997","https://openalex.org/W3040131859","https://openalex.org/W3047401137","https://openalex.org/W3087986254","https://openalex.org/W3101665129","https://openalex.org/W3105773474","https://openalex.org/W3128815919","https://openalex.org/W3158102619","https://openalex.org/W6637353424","https://openalex.org/W6759144272","https://openalex.org/W6763775535"],"related_works":["https://openalex.org/W3159990738","https://openalex.org/W4389134676","https://openalex.org/W4385490210","https://openalex.org/W4386255835","https://openalex.org/W4310043907","https://openalex.org/W4386724931","https://openalex.org/W2090152127","https://openalex.org/W4385326950","https://openalex.org/W1965169884","https://openalex.org/W2008939113"],"abstract_inverted_index":{"In":[0],"this":[1,45],"article,":[2],"we":[3],"consider":[4],"a":[5,33,65],"distributed":[6,80],"constrained":[7],"optimization":[8],"problem":[9],"with":[10,25,51],"delayed":[11,52],"subgradient":[12,53],"information":[13,54],"over":[14],"the":[15,29,59,70,83,88,102,105,115,132],"time-varying":[16],"communication":[17,30],"network,":[18],"where":[19],"each":[20],"agent":[21],"can":[22,95,119],"only":[23],"communicate":[24],"its":[26],"neighbors":[27],"and":[28,110],"channel":[31],"has":[32],"limited":[34],"data":[35],"rate.":[36],"We":[37],"propose":[38],"an":[39],"adaptive":[40,85],"quantization":[41,86,93],"method":[42,72],"to":[43,130],"address":[44],"problem.":[46],"A":[47],"mirror":[48],"descent":[49],"algorithm":[50,106],"is":[55,107],"established":[56],"based":[57],"on":[58,101],"theory":[60],"of":[61,104,134],"Bregman":[62,67],"divergence.":[63],"With":[64],"non-Euclidean":[66],"projection-based":[68,79],"scheme,":[69],"proposed":[71,84],"essentially":[73],"generalizes":[74],"many":[75],"previous":[76],"classical":[77],"Euclidean":[78],"algorithms.":[81],"Through":[82],"method,":[87],"optimal":[89,116],"value":[90],"without":[91],"any":[92],"error":[94],"be":[96,120],"obtained.":[97],"Furthermore,":[98],"comprehensive":[99],"analysis":[100],"convergence":[103,117],"carried":[108],"out":[109],"our":[111,135],"results":[112],"show":[113],"that":[114],"rate":[118],"obtained":[121],"under":[122],"appropriate":[123],"conditions.":[124],"Finally,":[125],"numerical":[126],"examples":[127],"are":[128],"presented":[129],"demonstrate":[131],"effectiveness":[133],"results.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}