{"id":"https://openalex.org/W4410367238","doi":"https://doi.org/10.3390/bdcc9050129","title":"Identifying Influential Nodes in Complex Networks via Transformer with Multi-Scale Feature Fusion","display_name":"Identifying Influential Nodes in Complex Networks via Transformer with Multi-Scale Feature Fusion","publication_year":2025,"publication_date":"2025-05-14","ids":{"openalex":"https://openalex.org/W4410367238","doi":"https://doi.org/10.3390/bdcc9050129"},"language":"en","primary_location":{"id":"doi:10.3390/bdcc9050129","is_oa":true,"landing_page_url":"https://doi.org/10.3390/bdcc9050129","pdf_url":"https://www.mdpi.com/2504-2289/9/5/129/pdf?version=1747210672","source":{"id":"https://openalex.org/S4210238752","display_name":"Big Data and Cognitive Computing","issn_l":"2504-2289","issn":["2504-2289"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Big Data and Cognitive Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2504-2289/9/5/129/pdf?version=1747210672","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103208488","display_name":"Tingshuai Jiang","orcid":"https://orcid.org/0009-0007-8865-8921"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingshuai Jiang","raw_affiliation_strings":["Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China"],"affiliations":[{"raw_affiliation_string":"Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007401126","display_name":"Yirun Ruan","orcid":"https://orcid.org/0000-0002-4636-5713"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yirun Ruan","raw_affiliation_strings":["Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China"],"affiliations":[{"raw_affiliation_string":"Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107943977","display_name":"Tianyuan Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianyuan Yu","raw_affiliation_strings":["Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China"],"affiliations":[{"raw_affiliation_string":"Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101717985","display_name":"Liang Bai","orcid":"https://orcid.org/0000-0002-2696-5885"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Bai","raw_affiliation_strings":["Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China"],"affiliations":[{"raw_affiliation_string":"Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103182894","display_name":"Yifei Yuan","orcid":"https://orcid.org/0009-0005-7894-177X"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifei Yuan","raw_affiliation_strings":["Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China"],"affiliations":[{"raw_affiliation_string":"Laboratory for Big Data and Decision, College of Systems Engineering, National University of Defense Technology, Deya Road, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5107943977"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2009,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78855949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":"5","first_page":"129","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991000294685364,"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":0.9991000294685364,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9979000091552734,"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/T10400","display_name":"Network Security and Intrusion Detection","score":0.9595000147819519,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5212017297744751},{"id":"https://openalex.org/keywords/fusion","display_name":"Fusion","score":0.5140565633773804},{"id":"https://openalex.org/keywords/transformer","display_name":"Transformer","score":0.47287553548812866},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.44846683740615845},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4348210096359253},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4293454885482788},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3720545768737793},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17582577466964722},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.12332949042320251},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.08462205529212952},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.0725589394569397},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.05832642316818237},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.05747690796852112}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5212017297744751},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.5140565633773804},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.47287553548812866},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.44846683740615845},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4348210096359253},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4293454885482788},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3720545768737793},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17582577466964722},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.12332949042320251},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.08462205529212952},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0725589394569397},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.05832642316818237},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.05747690796852112},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/bdcc9050129","is_oa":true,"landing_page_url":"https://doi.org/10.3390/bdcc9050129","pdf_url":"https://www.mdpi.com/2504-2289/9/5/129/pdf?version=1747210672","source":{"id":"https://openalex.org/S4210238752","display_name":"Big Data and Cognitive Computing","issn_l":"2504-2289","issn":["2504-2289"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Big Data and Cognitive Computing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6fb097a7aee44e51a3ed04067b507968","is_oa":true,"landing_page_url":"https://doaj.org/article/6fb097a7aee44e51a3ed04067b507968","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Big Data and Cognitive Computing, Vol 9, Iss 5, p 129 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/bdcc9050129","is_oa":true,"landing_page_url":"https://doi.org/10.3390/bdcc9050129","pdf_url":"https://www.mdpi.com/2504-2289/9/5/129/pdf?version=1747210672","source":{"id":"https://openalex.org/S4210238752","display_name":"Big Data and Cognitive Computing","issn_l":"2504-2289","issn":["2504-2289"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Big Data and Cognitive Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5695456302","display_name":null,"funder_award_id":"72101265","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410367238.pdf","grobid_xml":"https://content.openalex.org/works/W4410367238.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W1967570846","https://openalex.org/W1971937094","https://openalex.org/W1985451470","https://openalex.org/W1985514943","https://openalex.org/W1994803330","https://openalex.org/W2008620264","https://openalex.org/W2015953751","https://openalex.org/W2028225313","https://openalex.org/W2038195874","https://openalex.org/W2040763707","https://openalex.org/W2066636486","https://openalex.org/W2087194317","https://openalex.org/W2108614537","https://openalex.org/W2109278577","https://openalex.org/W2112615110","https://openalex.org/W2124637492","https://openalex.org/W2130790725","https://openalex.org/W2133131640","https://openalex.org/W2148301044","https://openalex.org/W2154656661","https://openalex.org/W2155461593","https://openalex.org/W2233066727","https://openalex.org/W2261717057","https://openalex.org/W2769133055","https://openalex.org/W2796063520","https://openalex.org/W2953892166","https://openalex.org/W2958837457","https://openalex.org/W2980088508","https://openalex.org/W2998525744","https://openalex.org/W3005817846","https://openalex.org/W3014362800","https://openalex.org/W3017207875","https://openalex.org/W3028110392","https://openalex.org/W3034815696","https://openalex.org/W3043840704","https://openalex.org/W3043948261","https://openalex.org/W3103589963","https://openalex.org/W3180463990","https://openalex.org/W3197172149","https://openalex.org/W4229075624","https://openalex.org/W4306956355","https://openalex.org/W4320473070","https://openalex.org/W4361214286","https://openalex.org/W4385219598","https://openalex.org/W4385245566","https://openalex.org/W4392385994","https://openalex.org/W4396999284","https://openalex.org/W4402126587","https://openalex.org/W4408031986","https://openalex.org/W6676698813","https://openalex.org/W6682044371","https://openalex.org/W6683180375","https://openalex.org/W6739901393"],"related_works":["https://openalex.org/W2099421762","https://openalex.org/W2530546662","https://openalex.org/W2967030268","https://openalex.org/W2185253430","https://openalex.org/W4210345652","https://openalex.org/W1984333081","https://openalex.org/W2945063165","https://openalex.org/W2378400385","https://openalex.org/W2205042400","https://openalex.org/W2090790166"],"abstract_inverted_index":{"In":[0,30,80],"complex":[1],"networks,":[2],"the":[3,15,98,108,133,150],"identification":[4,28,151],"of":[5,18,152],"critical":[6],"nodes":[7,20,44,91,154],"is":[8,103],"vital":[9],"for":[10,41,90],"optimizing":[11],"information":[12,102],"dissemination.":[13],"Given":[14],"significant":[16],"role":[17],"these":[19],"in":[21,45,149],"network":[22,64,124],"structures,":[23],"researchers":[24],"have":[25],"proposed":[26],"various":[27],"methods.":[29],"recent":[31],"years,":[32],"deep":[33],"learning":[34],"has":[35],"emerged":[36],"as":[37,95],"a":[38,72],"promising":[39],"approach":[40],"identifying":[42],"key":[43,113],"networks.":[46,159],"However,":[47],"existing":[48],"algorithms":[49],"fail":[50],"to":[51,60,111,136],"effectively":[52,104],"integrate":[53],"local":[54,85],"and":[55,62,86,92,121,157],"global":[56,87],"structural":[57],"information,":[58],"leading":[59],"incomplete":[61],"limited":[63],"understanding.":[65],"To":[66],"overcome":[67],"this":[68,81],"limitation,":[69],"we":[70,83],"introduce":[71],"transformer":[73,99],"framework":[74],"with":[75],"multi-scale":[76],"feature":[77,88],"fusion":[78],"(MSF-Former).":[79],"framework,":[82],"construct":[84],"maps":[89],"use":[93],"them":[94],"input.":[96],"Through":[97],"module,":[100],"node":[101],"aggregated,":[105],"thereby":[106],"improving":[107],"model\u2019s":[109],"ability":[110],"recognize":[112],"nodes.":[114],"We":[115],"perform":[116],"evaluations":[117],"using":[118,132],"six":[119],"real-world":[120,156],"three":[122],"synthetic":[123,158],"datasets,":[125],"comparing":[126],"our":[127],"method":[128],"against":[129],"multiple":[130],"baselines":[131],"SIR":[134],"model":[135],"validate":[137],"its":[138],"effectiveness.":[139],"Experimental":[140],"analysis":[141],"confirms":[142],"that":[143],"MSF-Former":[144],"achieves":[145],"consistently":[146],"high":[147],"accuracy":[148],"influential":[153],"across":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
