{"id":"https://openalex.org/W4200204476","doi":"https://doi.org/10.1109/tnnls.2021.3129649","title":"Learning Aligned Vertex Convolutional Networks for Graph Classification","display_name":"Learning Aligned Vertex Convolutional Networks for Graph Classification","publication_year":2021,"publication_date":"2021-12-10","ids":{"openalex":"https://openalex.org/W4200204476","doi":"https://doi.org/10.1109/tnnls.2021.3129649","pmid":"https://pubmed.ncbi.nlm.nih.gov/34890333"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3129649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3129649","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079734512","display_name":"Lixin Cui","orcid":"https://orcid.org/0000-0003-1620-6532"},"institutions":[{"id":"https://openalex.org/I137867983","display_name":"Central University of Finance and Economics","ror":"https://ror.org/008e3hf02","country_code":"CN","type":"education","lineage":["https://openalex.org/I137867983"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lixin Cui","raw_affiliation_strings":["Engineering Research Center of State Financial Security, Ministry of Education, Central University of Finance and Economics, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Engineering Research Center of State Financial Security, Ministry of Education, Central University of Finance and Economics, Beijing, China","institution_ids":["https://openalex.org/I137867983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101517110","display_name":"Lu Bai","orcid":"https://orcid.org/0000-0002-1033-8908"},"institutions":[{"id":"https://openalex.org/I137867983","display_name":"Central University of Finance and Economics","ror":"https://ror.org/008e3hf02","country_code":"CN","type":"education","lineage":["https://openalex.org/I137867983"]},{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Bai","raw_affiliation_strings":["School of Artificial Intelligence, Beijing Normal University, Beijing, China","Central University of Finance and Economics, Bejing, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Central University of Finance and Economics, Bejing, China","institution_ids":["https://openalex.org/I137867983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101790836","display_name":"Xiao Bai","orcid":"https://orcid.org/0000-0001-8561-9299"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Bai","raw_affiliation_strings":["School of Computer Science and Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100646913","display_name":"Yue Wang","orcid":"https://orcid.org/0000-0001-6698-6210"},"institutions":[{"id":"https://openalex.org/I137867983","display_name":"Central University of Finance and Economics","ror":"https://ror.org/008e3hf02","country_code":"CN","type":"education","lineage":["https://openalex.org/I137867983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Wang","raw_affiliation_strings":["Engineering Research Center of State Financial Security, Ministry of Education, Central University of Finance and Economics, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Engineering Research Center of State Financial Security, Ministry of Education, Central University of Finance and Economics, Beijing, China","institution_ids":["https://openalex.org/I137867983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074364400","display_name":"Edwin R. Hancock","orcid":"https://orcid.org/0000-0003-4496-2028"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Edwin R. Hancock","raw_affiliation_strings":["Department of Computer Science, University of York, York, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of York, York, U.K","institution_ids":["https://openalex.org/I52099693"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079734512"],"corresponding_institution_ids":["https://openalex.org/I137867983"],"apc_list":null,"apc_paid":null,"fwci":2.0987,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.89578322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"35","issue":"4","first_page":"4423","last_page":"4437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/vertex","display_name":"Vertex (graph theory)","score":0.7129790782928467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5346466898918152},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48612403869628906},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4693613648414612},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.46480146050453186},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.45358043909072876},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4533889889717102},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.41277146339416504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4041849672794342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3009207248687744},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2459283471107483},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.12258338928222656}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7129790782928467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5346466898918152},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48612403869628906},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4693613648414612},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.46480146050453186},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.45358043909072876},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4533889889717102},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.41277146339416504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4041849672794342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3009207248687744},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2459283471107483},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.12258338928222656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2021.3129649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3129649","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:34890333","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34890333","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:eprints.whiterose.ac.uk:181652","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1203572025","display_name":null,"funder_award_id":"62067004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1860499592","display_name":null,"funder_award_id":"61602535","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4063472708","display_name":null,"funder_award_id":"T2122020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8587577622","display_name":null,"funder_award_id":"61976235","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/F4320321599","display_name":"Central University of Finance and Economics","ror":"https://ror.org/008e3hf02"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W637153065","https://openalex.org/W639708223","https://openalex.org/W1662382123","https://openalex.org/W1794977688","https://openalex.org/W1869560171","https://openalex.org/W1885185971","https://openalex.org/W1976159745","https://openalex.org/W2008857988","https://openalex.org/W2051998685","https://openalex.org/W2104636679","https://openalex.org/W2139380913","https://openalex.org/W2142498761","https://openalex.org/W2147286743","https://openalex.org/W2412598452","https://openalex.org/W2599837009","https://openalex.org/W2604795503","https://openalex.org/W2606202972","https://openalex.org/W2610034660","https://openalex.org/W2618530766","https://openalex.org/W2788919350","https://openalex.org/W2808551187","https://openalex.org/W2899457523","https://openalex.org/W2899922526","https://openalex.org/W2943430238","https://openalex.org/W2962810718","https://openalex.org/W2963066159","https://openalex.org/W2963555845","https://openalex.org/W2973511309","https://openalex.org/W2998423439","https://openalex.org/W3006893391","https://openalex.org/W3007364240","https://openalex.org/W3016410370","https://openalex.org/W3028917156","https://openalex.org/W3101707147","https://openalex.org/W3183241772","https://openalex.org/W4297827010","https://openalex.org/W6620673361","https://openalex.org/W6637178625","https://openalex.org/W6638258969","https://openalex.org/W6638946568","https://openalex.org/W6679517787","https://openalex.org/W6681029592","https://openalex.org/W6685350579","https://openalex.org/W6715213228","https://openalex.org/W6719270105","https://openalex.org/W6726873649","https://openalex.org/W6751555526","https://openalex.org/W6753331806","https://openalex.org/W6761665040","https://openalex.org/W6763057493","https://openalex.org/W6774403930","https://openalex.org/W7065437122"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2745001401","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W4246352526","https://openalex.org/W2121910908","https://openalex.org/W915438175","https://openalex.org/W2964954556"],"abstract_inverted_index":{"Graph":[0],"convolutional":[1,50,71],"networks":[2],"(GCNs)":[3],"are":[4],"powerful":[5],"tools":[6],"for":[7,84,152,164],"graph":[8,35,85,165],"structure":[9],"data":[10],"analysis.":[11],"One":[12],"main":[13],"drawback":[14],"arising":[15,188],"in":[16,61,189],"most":[17,190],"existing":[18,34],"GCN":[19,46,192],"models":[20,74,155,172],"is":[21,88],"that":[22,75,114,169],"of":[23,68],"the":[24,28,33,45,130,141,153,170,184,200],"oversmoothing":[25,186],"problem,":[26,60],"i.e.,":[27],"vertex":[29,70,94,111,119,143,161],"features":[30,80],"abstracted":[31],"from":[32,81],"convolution":[36,112,144],"operation":[37,113,145],"have":[38],"previously":[39],"tended":[40],"to":[41,97,146,156],"be":[42],"indistinguishable":[43],"if":[44],"model":[47],"has":[48],"many":[49],"layers":[51],"(e.g.,":[52],"more":[53],"than":[54],"two":[55,150],"layers).":[56],"To":[57],"address":[58],"this":[59,62],"article,":[63],"we":[64,106,148],"propose":[65,149],"a":[66,92,108,135],"family":[67],"aligned":[69,110,126,138],"network":[72],"(AVCN)":[73],"focus":[76],"on":[77,129,196],"learning":[78],"multiscale":[79,118,160],"local-level":[82,124],"vertices":[83,127],"classification.":[86,166],"This":[87],"done":[89],"by":[90,121],"adopting":[91],"transitive":[93],"alignment":[95],"algorithm":[96],"transform":[98],"arbitrary-sized":[99],"graphs":[100],"into":[101,134],"fixed-size":[102],"grid":[103,132],"structures.":[104],"Furthermore,":[105],"define":[107],"new":[109,136,142],"can":[115,173],"effectively":[116],"learn":[117],"characteristics":[120],"gradually":[122],"aggregating":[123],"neighboring":[125,181],"residing":[128],"original":[131],"structures":[133],"packed":[137],"vertex.":[139],"With":[140],"hand,":[147],"architectures":[151],"AVCN":[154],"extract":[157],"different":[158],"hierarchical":[159],"feature":[162],"representations":[163],"We":[167],"show":[168],"proposed":[171],"avoid":[174],"iteratively":[175],"propagating":[176],"redundant":[177],"information":[178],"between":[179],"specific":[180],"vertices,":[182],"restricting":[183],"notorious":[185],"problem":[187],"spatial-based":[191],"models.":[193],"Experimental":[194],"evaluations":[195],"benchmark":[197],"datasets":[198],"demonstrate":[199],"effectiveness.":[201]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
