{"id":"https://openalex.org/W4321608222","doi":"https://doi.org/10.1109/tnse.2023.3248267","title":"Distributed Inertial Continuous and Discrete time Algorithms for Solving Resource Allocation Problem","display_name":"Distributed Inertial Continuous and Discrete time Algorithms for Solving Resource Allocation Problem","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4321608222","doi":"https://doi.org/10.1109/tnse.2023.3248267"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2023.3248267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2023.3248267","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5106407478","display_name":"You Zhao","orcid":"https://orcid.org/0000-0002-5064-044X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"You Zhao","raw_affiliation_strings":["College of Computer Science, Chongqing University, Chongqing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, Chongqing University, Chongqing, P.R. China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022342592","display_name":"Xiaofeng Liao","orcid":"https://orcid.org/0000-0002-3566-8161"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofeng Liao","raw_affiliation_strings":["College of Computer Science, Chongqing University, Chongqing, P.R. China"],"raw_orcid":"https://orcid.org/0000-0002-3566-8161","affiliations":[{"raw_affiliation_string":"College of Computer Science, Chongqing University, Chongqing, P.R. China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001504963","display_name":"Xing He","orcid":"https://orcid.org/0000-0001-8652-8479"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing He","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, School of Electronics and Information Engineering, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-8652-8479","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, School of Electronics and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.929,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73186563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"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":0.9991999864578247,"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":0.9991999864578247,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9878000020980835,"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/convex-function","display_name":"Convex function","score":0.6541891098022461},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6230630874633789},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5254516005516052},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.5205258131027222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5146632790565491},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.47282588481903076},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4644347131252289},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45768725872039795},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.41795945167541504},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41569292545318604},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3881303071975708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33416682481765747},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16121378540992737},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09973159432411194}],"concepts":[{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6541891098022461},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6230630874633789},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5254516005516052},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5205258131027222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5146632790565491},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.47282588481903076},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4644347131252289},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45768725872039795},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.41795945167541504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41569292545318604},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3881303071975708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33416682481765747},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16121378540992737},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09973159432411194},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2023.3248267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2023.3248267","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1988720110","https://openalex.org/W2002745466","https://openalex.org/W2027741263","https://openalex.org/W2046514255","https://openalex.org/W2055454716","https://openalex.org/W2081962815","https://openalex.org/W2150823352","https://openalex.org/W2184596805","https://openalex.org/W2256186208","https://openalex.org/W2273484141","https://openalex.org/W2302721240","https://openalex.org/W2526043704","https://openalex.org/W2593034620","https://openalex.org/W2611497108","https://openalex.org/W2647837308","https://openalex.org/W2753220394","https://openalex.org/W2772743719","https://openalex.org/W2788242395","https://openalex.org/W2809583909","https://openalex.org/W2899194738","https://openalex.org/W2900368665","https://openalex.org/W2901162217","https://openalex.org/W2951248065","https://openalex.org/W2954468770","https://openalex.org/W2955779392","https://openalex.org/W2963248893","https://openalex.org/W2963250913","https://openalex.org/W2964348766","https://openalex.org/W2986487687","https://openalex.org/W2992483221","https://openalex.org/W2994958082","https://openalex.org/W2999097378","https://openalex.org/W3000344965","https://openalex.org/W3010301175","https://openalex.org/W3015702914","https://openalex.org/W3037120052","https://openalex.org/W3085762787","https://openalex.org/W3141595720","https://openalex.org/W3156452281","https://openalex.org/W3159930161","https://openalex.org/W3200226038","https://openalex.org/W3201674968","https://openalex.org/W3205832882","https://openalex.org/W4205376174","https://openalex.org/W4213057337","https://openalex.org/W4225531527","https://openalex.org/W4285167652","https://openalex.org/W4288416422","https://openalex.org/W4292363360","https://openalex.org/W4297972233","https://openalex.org/W6686565794","https://openalex.org/W6727883105","https://openalex.org/W6760766451","https://openalex.org/W6765446838","https://openalex.org/W6783449436"],"related_works":["https://openalex.org/W3125070615","https://openalex.org/W1767939703","https://openalex.org/W4292651679","https://openalex.org/W2400034325","https://openalex.org/W2499557797","https://openalex.org/W2985014567","https://openalex.org/W4299515259","https://openalex.org/W2032676126","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,110],"investigate":[4],"several":[5],"distributed":[6,38,49,83,114,129,151,185,206,232],"inertial":[7,50,85,116,131,187,208,233],"algorithms":[8,53,58,234],"in":[9],"continuous":[10,51,86,188],"and":[11,54,61,75,108,123,174,197,221],"discrete":[12,56,117,132,209],"time":[13,52,57,87,118,133,189,210],"for":[14,91],"solving":[15],"resource":[16],"allocation":[17],"problem":[18,41,152],"(RAP),":[19],"where":[20],"its":[21],"objective":[22,73,146,162],"function":[23,74,78,163],"is":[24,33,89,135,153,164,191,212,235],"convex":[25,95,145,157],"or":[26],"strongly":[27,144,156,165],"convex.":[28],"First,":[29],"the":[30,62,69,72,140,149,160,170,181,227,230],"original":[31,161],"RAP":[32,92,141],"equivalently":[34],"transformed":[35,150],"into":[36],"a":[37,94,112,143,184,203],"unconstrained":[39],"optimization":[40],"by":[42,120,180,215,237],"introducing":[43],"an":[44,195],"auxiliary":[45],"variable.":[46],"Then,":[47],"two":[48,55],"are":[59,79],"proposed":[60,231],"rates":[63],"of":[64,229],"their":[65,76],"convergence":[66,99,200],"based":[67],"on":[68,104],"gap":[70],"between":[71],"optimal":[77],"determined.":[80],"Our":[81,127],"first":[82],"damped":[84,115],"algorithm":[88,119,134,190,211],"designed":[90,136],"with":[93,139,142],"function,":[96],"it":[97,168,193],"achieves":[98],"rate":[100],"at$O(":[101],"\\frac{1}{":[102],"t^{2}})$based":[103],"Lyapunov":[105],"analysis":[106],"method,":[107,183],"then":[109],"design":[111],"rate-matching":[113,204],"exploiting":[121],"implicit":[122],"Nesterov's":[124],"discretization":[125,220],"scheme.":[126],"second":[128],"fixed":[130,186,207],"to":[137],"deal":[138],"function.":[147],"Noteworthy,":[148],"no":[154],"longer":[155],"even":[158],"though":[159],"convex,":[166],"but":[167],"satisfies":[169],"Polyak-\u0141":[171],"jasiewicz":[172],"(PL)":[173],"quadratic":[175],"growth":[176],"(QG)":[177],"conditions.":[178],"Inspired":[179],"Heavy-Ball":[182],"proposed,":[192],"has":[194],"explicit":[196],"accelerated":[198,205],"exponential":[199],"rate.":[201],"Later,":[202],"also":[213],"obtained":[214],"applying":[216],"explicit,":[217],"semi-implicit":[218],"Euler":[219],"sufficient":[222],"decrease":[223],"update":[224],"schemes.":[225],"Finally,":[226],"effectiveness":[228],"verified":[236],"simulation.":[238]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
