{"id":"https://openalex.org/W4401935079","doi":"https://doi.org/10.1109/tii.2024.3441659","title":"Energy-Aware Incentive Mechanism for Hierarchical Federated Learning Using Water Filling Technique","display_name":"Energy-Aware Incentive Mechanism for Hierarchical Federated Learning Using Water Filling Technique","publication_year":2024,"publication_date":"2024-08-27","ids":{"openalex":"https://openalex.org/W4401935079","doi":"https://doi.org/10.1109/tii.2024.3441659"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2024.3441659","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2024.3441659","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","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/A5102888078","display_name":"Yangguang Cui","orcid":"https://orcid.org/0009-0008-0411-6461"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangguang Cui","raw_affiliation_strings":["School of Computer Engineering and Science, Shanghai University, Shanghai, China"],"raw_orcid":"https://orcid.org/0009-0008-0411-6461","affiliations":[{"raw_affiliation_string":"School of Computer Engineering and Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I141962983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070216219","display_name":"Weiqin Tong","orcid":"https://orcid.org/0000-0001-8300-6376"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiqin Tong","raw_affiliation_strings":["School of Computer Engineering and Science, Shanghai University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-8300-6376","affiliations":[{"raw_affiliation_string":"School of Computer Engineering and Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I141962983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100392681","display_name":"Tong Liu","orcid":"https://orcid.org/0000-0003-0485-839X"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Liu","raw_affiliation_strings":["School of Computer Engineering and Science, Shanghai University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-0485-839X","affiliations":[{"raw_affiliation_string":"School of Computer Engineering and Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I141962983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052730043","display_name":"Kun Cao","orcid":"https://orcid.org/0000-0003-4872-4908"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Cao","raw_affiliation_strings":["College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-4872-4908","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102905745","display_name":"Junlong Zhou","orcid":"https://orcid.org/0000-0002-7734-4077"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junlong Zhou","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-7734-4077","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060776618","display_name":"Ming Xu","orcid":"https://orcid.org/0000-0002-9906-5677"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Xu","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-9906-5677","affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042163232","display_name":"Tongquan Wei","orcid":"https://orcid.org/0000-0002-7421-1711"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongquan Wei","raw_affiliation_strings":["School of Computer Science and Technology, and Sofware/Hardware Co-design Technology and Application Engineering Research Center of MOE, East China Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-7421-1711","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, and Sofware/Hardware Co-design Technology and Application Engineering Research Center of MOE, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7234,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.95530445,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"12","first_page":"14214","last_page":"14225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.979200005531311,"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"}},"topics":[{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.979200005531311,"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"}},{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.958899974822998,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9379000067710876,"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/incentive","display_name":"Incentive","score":0.7110742330551147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5680975914001465},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.47314393520355225}],"concepts":[{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.7110742330551147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5680975914001465},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.47314393520355225},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tii.2024.3441659","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2024.3441659","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1677827135","display_name":null,"funder_award_id":"2024A1515010232","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G2474133561","display_name":null,"funder_award_id":"62172224","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2508575609","display_name":null,"funder_award_id":"62102164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3505793782","display_name":null,"funder_award_id":"BK20220138","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G4276369053","display_name":null,"funder_award_id":"22ZR1423700","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4418210402","display_name":null,"funder_award_id":"12271172","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6570385358","display_name":null,"funder_award_id":"30922010318","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7382153672","display_name":null,"funder_award_id":"62272169","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/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1974891392","https://openalex.org/W2920095265","https://openalex.org/W2972882814","https://openalex.org/W2991308345","https://openalex.org/W3001989995","https://openalex.org/W3008177173","https://openalex.org/W3015613093","https://openalex.org/W3043715968","https://openalex.org/W3045638580","https://openalex.org/W3128382687","https://openalex.org/W3135472452","https://openalex.org/W3152952112","https://openalex.org/W3155189475","https://openalex.org/W3156772560","https://openalex.org/W3198770621","https://openalex.org/W3202260564","https://openalex.org/W3207087425","https://openalex.org/W3214755690","https://openalex.org/W3215200847","https://openalex.org/W4206414320","https://openalex.org/W4223921338","https://openalex.org/W4295872875","https://openalex.org/W4312721184","https://openalex.org/W4368232739","https://openalex.org/W4376457039","https://openalex.org/W4393156150","https://openalex.org/W6728757088"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2367468089","https://openalex.org/W2390279801","https://openalex.org/W2358591856","https://openalex.org/W4391913857","https://openalex.org/W2098133976","https://openalex.org/W2355932053","https://openalex.org/W2366296021","https://openalex.org/W2382571223"],"abstract_inverted_index":{"Federated":[0],"learning":[1,100],"(FL)":[2],"is":[3],"an":[4,124,157],"attractive":[5],"industrial":[6,29],"paradigm":[7],"to":[8,52,103,112,133,164,166,181,195,201],"accomplish":[9],"distributed":[10],"artificial":[11],"intelligence":[12],"(AI)":[13],"training":[14,43],"collaboratively":[15],"in":[16,35,67,77,84,203],"a":[17,89],"data":[18],"privacy-preserving":[19],"manner.":[20],"Most":[21],"existing":[22],"designs":[23],"for":[24,75,95,129,149],"FL":[25,36,136],"systems":[26],"assume":[27],"that":[28],"user":[30],"equipments":[31],"(UEs)":[32],"participate":[33,53,113,202],"voluntarily":[34],"training.":[37,78,204],"However,":[38],"since":[39],"both":[40],"AI":[41],"model":[42],"and":[44,71,171,197],"transmission":[45],"consume":[46],"considerable":[47],"energy,":[48],"UEs":[49,111,170,200],"are":[50],"reluctant":[51],"without":[54],"economic":[55,62],"rewards.":[56],"Hence,":[57],"the":[58,81,96,105,118,140,146,150,173,189],"lack":[59],"of":[60,169],"proper":[61],"reward":[63,92,152,161],"incentive":[64,93,127,162,185],"mechanism":[65,94,128,163,186],"results":[66],"low":[68],"UE":[69,107,175,191],"utility":[70,192],"frustrates":[72],"UEs'":[73],"enthusiasm":[74],"participating":[76],"To":[79],"address":[80],"above":[82],"challenge,":[83],"this":[85],"article,":[86],"we":[87,122,155],"propose":[88],"two-phase":[90],"energy-aware":[91,158],"edge-cloud-assisted":[97],"hierarchical":[98],"federated":[99],"(HFL)":[101],"system":[102],"optimize":[104],"overall":[106,174,190],"utility,":[108],"thereby,":[109],"incentivizing":[110],"more":[114],"actively.":[115],"Specifically,":[116],"at":[117,139],"cloud":[119],"server":[120,142],"phase,":[121,143],"design":[123],"energy":[125],"quantity-aware":[126],"reasonably":[130],"distributing":[131],"rewards":[132],"its":[134],"sub-edge-assisted":[135],"systems.":[137],"Subsequently,":[138],"edge":[141],"based":[144],"on":[145],"quantitative":[147],"analysis":[148],"optimal":[151],"allocation":[153],"solution,":[154],"develop":[156],"water":[159],"filling-based":[160],"adapt":[165],"individual":[167],"needs":[168],"maximize":[172],"utility.":[176],"Experiments":[177],"verify":[178],"that,":[179],"compared":[180],"well-known":[182],"benchmarks,":[183],"our":[184],"can":[187],"improve":[188],"by":[193],"up":[194],"55.94%":[196],"better":[198],"incentivize":[199]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}