{"id":"https://openalex.org/W4394698477","doi":"https://doi.org/10.1109/tsp.2024.3385654","title":"Adaptive Local Modularity Learning for Efficient Multilayer Graph Clustering","display_name":"Adaptive Local Modularity Learning for Efficient Multilayer Graph Clustering","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4394698477","doi":"https://doi.org/10.1109/tsp.2024.3385654"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3385654","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tsp.2024.3385654","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5027472534","display_name":"Danyang Wu","orcid":"https://orcid.org/0000-0002-0309-1409"},"institutions":[{"id":"https://openalex.org/I4210088176","display_name":"North West Agriculture and Forestry University","ror":null,"country_code":"CN","type":null,"lineage":["https://openalex.org/I4210088176"]},{"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":true,"raw_author_name":"Danyang Wu","raw_affiliation_strings":["College of Information Engineering, Northwest A&#x0026;F University, Yangling, P. R. China","Faculty of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-0309-1409","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Northwest A&#x0026;F University, Yangling, P. R. China","institution_ids":["https://openalex.org/I4210088176"]},{"raw_affiliation_string":"Faculty of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103196395","display_name":"Penglei Wang","orcid":"https://orcid.org/0000-0001-9469-3917"},"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"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Penglei Wang","raw_affiliation_strings":["School of Computer Science, School of Artificial Intelligence, OPtics and ElectroNics, Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China"],"raw_orcid":"https://orcid.org/0000-0001-9469-3917","affiliations":[{"raw_affiliation_string":"School of Computer Science, School of Artificial Intelligence, OPtics and ElectroNics, Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China","institution_ids":["https://openalex.org/I890469752","https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114430015","display_name":"Junjie Liang","orcid":"https://orcid.org/0009-0006-7200-0749"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjie Liang","raw_affiliation_strings":["School of Future Technology, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0006-7200-0749","affiliations":[{"raw_affiliation_string":"School of Future Technology, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020877437","display_name":"Jitao Lu","orcid":"https://orcid.org/0000-0002-6065-2639"},"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"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jitao Lu","raw_affiliation_strings":["School of Computer Science, School of Artificial Intelligence, OPtics and ElectroNics, Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China"],"raw_orcid":"https://orcid.org/0000-0002-6065-2639","affiliations":[{"raw_affiliation_string":"School of Computer Science, School of Artificial Intelligence, OPtics and ElectroNics, Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China","institution_ids":["https://openalex.org/I890469752","https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114357209","display_name":"Jin Xu","orcid":"https://orcid.org/0009-0001-8735-3532"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Xu","raw_affiliation_strings":["School of Future Technology, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0001-8735-3532","affiliations":[{"raw_affiliation_string":"School of Future Technology, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030351224","display_name":"Rong Wang","orcid":"https://orcid.org/0000-0001-9240-6726"},"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"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Wang","raw_affiliation_strings":["School of Artificial Intelligence, OPtics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China"],"raw_orcid":"https://orcid.org/0000-0001-9240-6726","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, OPtics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China","institution_ids":["https://openalex.org/I890469752","https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003222421","display_name":"Feiping Nie","orcid":"https://orcid.org/0000-0002-0871-6519"},"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"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiping Nie","raw_affiliation_strings":["School of Computer Science, School of Artificial Intelligence, OPtics and ElectroNics, Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China"],"raw_orcid":"https://orcid.org/0000-0002-0871-6519","affiliations":[{"raw_affiliation_string":"School of Computer Science, School of Artificial Intelligence, OPtics and ElectroNics, Northwestern Polytechnical University, Xi&#x2019;an, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an, P.R. China","institution_ids":["https://openalex.org/I890469752","https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5027472534"],"corresponding_institution_ids":["https://openalex.org/I4210088176","https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.5262,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60571869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"72","issue":null,"first_page":"2221","last_page":"2232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9986000061035156,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9950000047683716,"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/T10057","display_name":"Face and Expression Recognition","score":0.9932000041007996,"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/computer-science","display_name":"Computer science","score":0.6197989583015442},{"id":"https://openalex.org/keywords/modularity","display_name":"Modularity (biology)","score":0.6073564291000366},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5950810313224792},{"id":"https://openalex.org/keywords/clustering-coefficient","display_name":"Clustering coefficient","score":0.49857497215270996},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49157294631004333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4273145794868469},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.42530685663223267},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3914391100406647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28998613357543945},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11709612607955933}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6197989583015442},{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.6073564291000366},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5950810313224792},{"id":"https://openalex.org/C22047676","wikidata":"https://www.wikidata.org/wiki/Q898680","display_name":"Clustering coefficient","level":3,"score":0.49857497215270996},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49157294631004333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4273145794868469},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.42530685663223267},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3914391100406647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28998613357543945},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11709612607955933},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2024.3385654","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tsp.2024.3385654","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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":58,"referenced_works":["https://openalex.org/W206953779","https://openalex.org/W1907775068","https://openalex.org/W1976023014","https://openalex.org/W1979089718","https://openalex.org/W2059861509","https://openalex.org/W2074617510","https://openalex.org/W2098005762","https://openalex.org/W2103560185","https://openalex.org/W2109726592","https://openalex.org/W2134529554","https://openalex.org/W2150283722","https://openalex.org/W2151936673","https://openalex.org/W2155904486","https://openalex.org/W2167999447","https://openalex.org/W2740464254","https://openalex.org/W2802815569","https://openalex.org/W2898233200","https://openalex.org/W2906217954","https://openalex.org/W2921065608","https://openalex.org/W2972788589","https://openalex.org/W2996771119","https://openalex.org/W2997739739","https://openalex.org/W3003590623","https://openalex.org/W3006912604","https://openalex.org/W3012918605","https://openalex.org/W3016036907","https://openalex.org/W3037826211","https://openalex.org/W3044063956","https://openalex.org/W3103589660","https://openalex.org/W3141949144","https://openalex.org/W3151867486","https://openalex.org/W3176947484","https://openalex.org/W3193406360","https://openalex.org/W3193661436","https://openalex.org/W3194841521","https://openalex.org/W3195106575","https://openalex.org/W3205485865","https://openalex.org/W4200560153","https://openalex.org/W4206083508","https://openalex.org/W4224918490","https://openalex.org/W4309364607","https://openalex.org/W4312238451","https://openalex.org/W4321113904","https://openalex.org/W4324292597","https://openalex.org/W4360770799","https://openalex.org/W4367849720","https://openalex.org/W4380875852","https://openalex.org/W4382239875","https://openalex.org/W4385651504","https://openalex.org/W4388919401","https://openalex.org/W4391460633","https://openalex.org/W6638310485","https://openalex.org/W6639034616","https://openalex.org/W6675134712","https://openalex.org/W6682991666","https://openalex.org/W6732195518","https://openalex.org/W6796756813","https://openalex.org/W7071519988"],"related_works":["https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W2755787904","https://openalex.org/W2003121311","https://openalex.org/W4304080228"],"abstract_inverted_index":{"Existing":[0],"multilayer":[1,36,63,79,107],"graph":[2,37,53,72,75,80,108],"clustering":[3,38,109],"models":[4],"focus":[5],"on":[6],"integrating":[7],"the":[8,15,59,69,86,116],"monolithic":[9],"structure":[10],"of":[11,129],"each":[12],"layer,":[13],"but":[14],"local":[16,60],"preference":[17,61],"between":[18,71],"layers":[19],"and":[20,74,111],"clusters":[21],"has":[22],"not":[23],"been":[24],"fully":[25],"exploited.":[26],"To":[27,84],"alleviate":[28],"this":[29,31,92],"problem,":[30],"paper":[32,93],"proposes":[33,94],"a":[34],"novel":[35],"model":[39],"with":[40,52,99],"Adaptive":[41],"Local":[42],"Modularity":[43],"Learning":[44],"(ALML),":[45],"which":[46,103],"mines":[47],"truncated":[48],"layer-cluster":[49],"relationships":[50],"adaptively":[51],"modularity":[54,76],"learning":[55,77],"paradigm,":[56],"to":[57],"reveal":[58],"in":[62,78,82,90,106,127],"graphs.":[64],"More":[65],"importantly,":[66],"ALML":[67,123],"reveals":[68],"equivalence":[70],"cut":[73],"scenarios":[81],"theory.":[83],"solve":[85],"optimization":[87],"problem":[88],"involved":[89],"ALML,":[91],"an":[95],"efficient":[96],"alternating":[97],"algorithm":[98],"quadratic-level":[100],"time":[101],"complexity,":[102],"is":[104],"satisfactory":[105],"scenarios,":[110],"provides":[112],"corresponding":[113],"analyses.":[114],"In":[115],"simulations,":[117],"extensive":[118],"experimental":[119],"results":[120],"demonstrate":[121],"that":[122],"outperforms":[124],"state-of-the-art":[125],"competitors":[126],"terms":[128],"effectiveness":[130],"as":[131,133],"well":[132],"efficiency.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-05-09T13:55:54.758798","created_date":"2025-10-10T00:00:00"}
