{"id":"https://openalex.org/W4313270794","doi":"https://doi.org/10.1109/tcss.2022.3227270","title":"Truthful Incentive Mechanism Design via Internalizing Externalities and LP Relaxation for Vertical Federated Learning","display_name":"Truthful Incentive Mechanism Design via Internalizing Externalities and LP Relaxation for Vertical Federated Learning","publication_year":2022,"publication_date":"2022-12-29","ids":{"openalex":"https://openalex.org/W4313270794","doi":"https://doi.org/10.1109/tcss.2022.3227270"},"language":"en","primary_location":{"id":"doi:10.1109/tcss.2022.3227270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcss.2022.3227270","pdf_url":null,"source":{"id":"https://openalex.org/S2490693980","display_name":"IEEE Transactions on Computational Social Systems","issn_l":"2329-924X","issn":["2329-924X","2373-7476"],"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 Computational Social Systems","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/A5068178313","display_name":"Jianfeng Lu","orcid":"https://orcid.org/0000-0001-6834-1539"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianfeng Lu","raw_affiliation_strings":["School of Computer Science and Technology and the Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-6834-1539","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology and the Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057875507","display_name":"Bangqi Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bangqi Pan","raw_affiliation_strings":["School of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076128522","display_name":"Abegaz Mohammed Seid","orcid":"https://orcid.org/0000-0002-3672-6132"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Abegaz Mohammed Seid","raw_affiliation_strings":["School of Computer Science and Technology and the Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-3672-6132","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology and the Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100451238","display_name":"Bing Li","orcid":"https://orcid.org/0000-0002-0796-8415"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Li","raw_affiliation_strings":["School of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China"],"raw_orcid":"https://orcid.org/0000-0002-0796-8415","affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070378619","display_name":"Gangqiang Hu","orcid":"https://orcid.org/0000-0003-3962-0410"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gangqiang Hu","raw_affiliation_strings":["School of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003203521","display_name":"Shaohua Wan","orcid":"https://orcid.org/0000-0001-7013-9081"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shaohua Wan","raw_affiliation_strings":["Shenzhen Institute for Advanced Study, University of Electronic Science and Technology of China, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-7013-9081","affiliations":[{"raw_affiliation_string":"Shenzhen Institute for Advanced Study, University of Electronic Science and Technology of China, Shenzhen, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5068178313"],"corresponding_institution_ids":["https://openalex.org/I43922553"],"apc_list":null,"apc_paid":null,"fwci":2.081,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89073834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"10","issue":"6","first_page":"2909","last_page":"2923"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":1.0,"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":1.0,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9979000091552734,"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/T10237","display_name":"Cryptography and Data Security","score":0.9912999868392944,"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":0.7335183620452881},{"id":"https://openalex.org/keywords/externality","display_name":"Externality","score":0.657855749130249},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.6359623670578003},{"id":"https://openalex.org/keywords/mechanism-design","display_name":"Mechanism design","score":0.5571557283401489},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.4864897131919861},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4590666592121124},{"id":"https://openalex.org/keywords/incentive-compatibility","display_name":"Incentive compatibility","score":0.4255809783935547},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3800444006919861},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.33312559127807617},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.329620361328125},{"id":"https://openalex.org/keywords/environmental-economics","display_name":"Environmental economics","score":0.32730114459991455}],"concepts":[{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.7335183620452881},{"id":"https://openalex.org/C16118543","wikidata":"https://www.wikidata.org/wiki/Q275372","display_name":"Externality","level":2,"score":0.657855749130249},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.6359623670578003},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.5571557283401489},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.4864897131919861},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4590666592121124},{"id":"https://openalex.org/C91810955","wikidata":"https://www.wikidata.org/wiki/Q7731670","display_name":"Incentive compatibility","level":3,"score":0.4255809783935547},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3800444006919861},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.33312559127807617},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.329620361328125},{"id":"https://openalex.org/C134560507","wikidata":"https://www.wikidata.org/wiki/Q753291","display_name":"Environmental economics","level":1,"score":0.32730114459991455},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/tcss.2022.3227270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcss.2022.3227270","pdf_url":null,"source":{"id":"https://openalex.org/S2490693980","display_name":"IEEE Transactions on Computational Social Systems","issn_l":"2329-924X","issn":["2329-924X","2373-7476"],"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 Computational Social Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5199999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4743770894","display_name":null,"funder_award_id":"62072411","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8491019409","display_name":null,"funder_award_id":"LR21F020001","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W5354901","https://openalex.org/W1987513450","https://openalex.org/W2085988980","https://openalex.org/W2401610261","https://openalex.org/W2497780306","https://openalex.org/W2612932006","https://openalex.org/W2790412025","https://openalex.org/W2802269386","https://openalex.org/W2912213068","https://openalex.org/W2920095265","https://openalex.org/W2972882814","https://openalex.org/W2980713544","https://openalex.org/W2984693664","https://openalex.org/W2989120265","https://openalex.org/W2995022099","https://openalex.org/W3001989995","https://openalex.org/W3006403513","https://openalex.org/W3006921589","https://openalex.org/W3010791286","https://openalex.org/W3010852232","https://openalex.org/W3012990321","https://openalex.org/W3015515533","https://openalex.org/W3025029677","https://openalex.org/W3027472889","https://openalex.org/W3033777149","https://openalex.org/W3036727471","https://openalex.org/W3095593352","https://openalex.org/W3101220048","https://openalex.org/W3105099026","https://openalex.org/W3109504587","https://openalex.org/W3119234025","https://openalex.org/W3156818449","https://openalex.org/W3163048467","https://openalex.org/W3174935259","https://openalex.org/W3176778145","https://openalex.org/W3195708967","https://openalex.org/W3200780444","https://openalex.org/W4205597275","https://openalex.org/W4210660460","https://openalex.org/W4226054611","https://openalex.org/W4281729562","https://openalex.org/W4289821054","https://openalex.org/W4293455303","https://openalex.org/W4294811443","https://openalex.org/W4294837465","https://openalex.org/W6631686819","https://openalex.org/W6633499030","https://openalex.org/W6728757088","https://openalex.org/W6779308105","https://openalex.org/W6781318954","https://openalex.org/W6838958014"],"related_works":["https://openalex.org/W2610226722","https://openalex.org/W1502128320","https://openalex.org/W2950333913","https://openalex.org/W4301722110","https://openalex.org/W2524244071","https://openalex.org/W3162562081","https://openalex.org/W3103204983","https://openalex.org/W2054039722","https://openalex.org/W4390048635","https://openalex.org/W3133924690"],"abstract_inverted_index":{"Although":[0],"vertical":[1],"federated":[2],"learning":[3,13,33],"(VFL)":[4],"has":[5,36],"become":[6,37],"a":[7,38,121,143,180],"new":[8],"paradigm":[9],"of":[10,194,209],"distributed":[11],"machine":[12],"for":[14,99],"emerging":[15],"multiparty":[16],"joint":[17],"modeling":[18],"applications,":[19],"how":[20],"to":[21,26,31,45,55,109,190],"effectively":[22],"incentivize":[23],"self-conscious":[24],"clients":[25,67,141],"actively":[27],"and":[28,70,81,114,160,202,217],"reliably":[29],"contribute":[30],"collaborative":[32],"in":[34,61],"VFL":[35],"critical":[39],"issue.":[40],"Existing":[41],"efforts":[42],"are":[43],"inadequate":[44],"address":[46],"this":[47,64,90,175],"issue":[48],"since":[49],"the":[50,94,130,134,192,206,223],"training":[51,60,79],"sample":[52,181],"size":[53,182],"needs":[54],"be":[56,142],"unified":[57],"before":[58],"model":[59,78],"VFL.":[62],"To":[63],"end,":[65],"selfish":[66],"should":[68],"unconditionally":[69],"honestly":[71],"declare":[72],"their":[73],"private":[74],"information,":[75],"such":[76,84],"as":[77,164,166],"costs":[80],"benefits.":[82],"However,":[83],"an":[85],"assumption":[86],"is":[87],"unrealistic.":[88],"In":[89],"article,":[91],"we":[92,119,147,177],"develop":[93],"first":[95],"Truthful":[96],"incEntive":[97],"mechAnism":[98],"VFL,":[100],"<inline-formula":[101,150,210],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[102,151,211],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[103,152,212],"<tex-math":[104,153,213],"notation=\"LaTeX\">$\\mathbb":[105,154,214],"{TEA}$":[106,155,215],"</tex-math></inline-formula>":[107,156,216],",":[108],"handle":[110],"both":[111],"information":[112],"self-disclosure":[113],"social":[115,135,161],"utility":[116,162],"maximization.":[117],"Specifically,":[118],"design":[120,179],"transfer":[122],"payment":[123],"rule":[124,184],"via":[125,185],"internalizing":[126],"externalities,":[127],"which":[128],"bundles":[129],"clients\u2019":[131],"utilities":[132],"with":[133,222],"utility,":[136],"making":[137],"truthful":[138],"reporting":[139],"by":[140],"Nash":[144],"equilibrium.":[145],"Theoretically,":[146],"prove":[148],"that":[149],"can":[157],"achieve":[158],"truthfulness":[159],"maximization,":[163],"well":[165],"budget":[167],"balance":[168],"(BB)":[169],"or":[170],"individual":[171],"rationality":[172],"(IR).":[173],"On":[174],"basis,":[176],"further":[178],"decision":[183],"linear":[186],"programming":[187],"(LP)":[188],"relaxation":[189],"meet":[191],"requirements":[193],"different":[195],"scenarios.":[196],"Finally,":[197],"extensive":[198],"experiments":[199],"on":[200],"synthetic":[201],"real-world":[203],"datasets":[204],"validate":[205],"theoretical":[207],"properties":[208],"demonstrate":[218],"its":[219],"superiority":[220],"compared":[221],"state-of-the-art.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
