{"id":"https://openalex.org/W4410887180","doi":"https://doi.org/10.1109/twc.2025.3572437","title":"Unfolded Deep Graph Learning for Networked Over-the-Air Computation","display_name":"Unfolded Deep Graph Learning for Networked Over-the-Air Computation","publication_year":2025,"publication_date":"2025-05-30","ids":{"openalex":"https://openalex.org/W4410887180","doi":"https://doi.org/10.1109/twc.2025.3572437"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2025.3572437","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2025.3572437","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","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/A5037838330","display_name":"Xiao Tang","orcid":"https://orcid.org/0000-0001-8971-5413"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Tang","raw_affiliation_strings":["School of Information and Communication Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0001-8971-5413","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Huirong Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huirong Xiao","raw_affiliation_strings":["School of Electronics and Information, Northwestern Polytechnical University, Xi&#x2019;an, China","School of Electronics and Information, Northwestern Polytechinical University, Xi&#x2019;an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Electronics and Information, Northwestern Polytechinical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101843177","display_name":"Chao Shen","orcid":"https://orcid.org/0000-0002-6959-0569"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Shen","raw_affiliation_strings":["Faculty of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-6959-0569","affiliations":[{"raw_affiliation_string":"Faculty of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318682","display_name":"Li Sun","orcid":"https://orcid.org/0000-0002-9471-0235"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Sun","raw_affiliation_strings":["School of Information and Communication Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-9471-0235","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054096196","display_name":"Qinghe Du","orcid":"https://orcid.org/0000-0002-4992-9166"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinghe Du","raw_affiliation_strings":["School of Information and Communication Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-4992-9166","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091266202","display_name":"Dusit Niyato","orcid":"https://orcid.org/0000-0002-7442-7416"},"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":"Dusit Niyato","raw_affiliation_strings":["College of Computing and Data Science, Nanyang Technological University, Jurong West, Singapore","School of Computer Science and Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7442-7416","affiliations":[{"raw_affiliation_string":"College of Computing and Data Science, Nanyang Technological University, Jurong West, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063667378","display_name":"Zhu Han","orcid":"https://orcid.org/0000-0002-6606-5822"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhu Han","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Houston, Houston, TX, USA","Department of Electrical and Computer Engineering, University of Houston, Houston, USA"],"raw_orcid":"https://orcid.org/0000-0002-6606-5822","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Houston, Houston, TX, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Houston, Houston, USA","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.0225,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86526573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"24","issue":"11","first_page":"9296","last_page":"9310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10761","display_name":"Vehicular Ad Hoc Networks (VANETs)","score":0.9362000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10761","display_name":"Vehicular Ad Hoc Networks (VANETs)","score":0.9362000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/computer-science","display_name":"Computer science","score":0.6454739570617676},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4973936378955841},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4438541829586029},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41271159052848816},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36766019463539124},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17714151740074158}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6454739570617676},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4973936378955841},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4438541829586029},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41271159052848816},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36766019463539124},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17714151740074158}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2025.3572437","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2025.3572437","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/218505","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/218505","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2000514598","display_name":null,"funder_award_id":"U22B2013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7912960461","display_name":null,"funder_award_id":"2024A1515030215","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1973851222","https://openalex.org/W2861117319","https://openalex.org/W2887810578","https://openalex.org/W2999146029","https://openalex.org/W3028318515","https://openalex.org/W3091752016","https://openalex.org/W3096252532","https://openalex.org/W3111846921","https://openalex.org/W3133902371","https://openalex.org/W3152787073","https://openalex.org/W3201314735","https://openalex.org/W3203343363","https://openalex.org/W4200630265","https://openalex.org/W4205709614","https://openalex.org/W4206579639","https://openalex.org/W4221152006","https://openalex.org/W4221152660","https://openalex.org/W4281638644","https://openalex.org/W4285105105","https://openalex.org/W4285118021","https://openalex.org/W4289821985","https://openalex.org/W4295700761","https://openalex.org/W4312469633","https://openalex.org/W4312811396","https://openalex.org/W4312958657","https://openalex.org/W4313178080","https://openalex.org/W4315474376","https://openalex.org/W4319338751","https://openalex.org/W4362653504","https://openalex.org/W4365793461","https://openalex.org/W4377009408","https://openalex.org/W4380303589","https://openalex.org/W4384787219","https://openalex.org/W4385216811","https://openalex.org/W4387717500","https://openalex.org/W4388624602","https://openalex.org/W4389610145","https://openalex.org/W4392905013","https://openalex.org/W4394811191","https://openalex.org/W4398788563","https://openalex.org/W4399994929","https://openalex.org/W4400771735","https://openalex.org/W4402156436","https://openalex.org/W4405488174"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Over-the-air":[0],"computation":[1,14,165],"(AirComp)":[2],"has":[3],"emerged":[4],"as":[5,59,61],"a":[6],"promising":[7],"technology":[8],"that":[9,145],"enables":[10],"simultaneous":[11],"transmission":[12,57],"and":[13,41,81,110,152,162,169,175],"through":[15,100,137],"wireless":[16],"channels.":[17],"In":[18],"this":[19],"paper,":[20],"we":[21,46,76,96],"investigate":[22],"the":[23,38,50,56,69,78,83,93,98,101,107,114,122,127,149,153,160,173],"networked":[24],"AirComp":[25,53,115],"in":[26,113],"multiple":[27],"clusters":[28],"allowing":[29],"diversified":[30],"data":[31],"computation,":[32],"which":[33,134],"is":[34,135],"yet":[35],"challenged":[36],"by":[37,130],"transceiver":[39],"coordination":[40],"interference":[42,70,112,161],"management":[43],"therein.":[44],"Particularly,":[45],"aim":[47],"to":[48,91,172],"maximize":[49],"multi-cluster":[51],"weighted-sum":[52],"rate,":[54],"where":[55,106],"scalar":[58],"well":[60],"receive":[62],"beamforming":[63],"are":[64],"jointly":[65],"investigated":[66],"while":[67],"addressing":[68],"issue.":[71],"From":[72],"an":[73,88,118],"optimization":[74,85],"perspective,":[75],"decompose":[77],"formulated":[79],"problem":[80],"adopt":[82],"alternating":[84],"technique":[86],"with":[87,167],"iterative":[89],"process":[90],"approximate":[92],"solution.":[94],"Then,":[95],"reinterpret":[97],"iterations":[99],"principle":[102],"of":[103],"algorithm":[104],"unfolding,":[105],"channel":[108],"condition":[109],"mutual":[111],"network":[116],"constitute":[117],"underlying":[119],"graph.":[120],"Accordingly,":[121],"proposed":[123,154],"unfolding":[124],"architecture":[125],"learns":[126],"weights":[128],"parameterized":[129],"graph":[131,156],"neural":[132],"networks,":[133],"trained":[136],"stochastic":[138],"gradient":[139],"descent":[140],"approach.":[141],"Simulation":[142],"results":[143],"show":[144],"our":[146],"proposals":[147],"outperform":[148],"conventional":[150],"schemes,":[151],"unfolded":[155],"learning":[157],"substantially":[158],"alleviates":[159],"achieves":[163],"superior":[164],"performance,":[166],"strong":[168],"efficient":[170],"adaptation":[171],"dynamic":[174],"scalable":[176],"networks.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
