{"id":"https://openalex.org/W3192092126","doi":"https://doi.org/10.1007/s12652-021-03355-x","title":"MulStepNET: stronger multi-step graph convolutional networks via multi-power adjacency matrix combination","display_name":"MulStepNET: stronger multi-step graph convolutional networks via multi-power adjacency matrix combination","publication_year":2021,"publication_date":"2021-08-06","ids":{"openalex":"https://openalex.org/W3192092126","doi":"https://doi.org/10.1007/s12652-021-03355-x","mag":"3192092126"},"language":"en","primary_location":{"id":"doi:10.1007/s12652-021-03355-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12652-021-03355-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12652-021-03355-x.pdf","source":{"id":"https://openalex.org/S48031226","display_name":"Journal of Ambient Intelligence and Humanized Computing","issn_l":"1868-5137","issn":["1868-5137","1868-5145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Ambient Intelligence and Humanized Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12652-021-03355-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009139024","display_name":"Xun Liu","orcid":"https://orcid.org/0000-0003-0368-7971"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4403386539","display_name":"Software Engineering Institute of Guangzhou","ror":"https://ror.org/0549ke970","country_code":null,"type":"education","lineage":["https://openalex.org/I4403386539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xun Liu","raw_affiliation_strings":["Department of Electronics, Software Engineering Institute of Guangzhou, Guangzhou, 510990, China"],"raw_orcid":"https://orcid.org/0000-0003-0368-7971","affiliations":[{"raw_affiliation_string":"Department of Electronics, Software Engineering Institute of Guangzhou, Guangzhou, 510990, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4403386539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063343191","display_name":"Fangyuan Lei","orcid":"https://orcid.org/0000-0002-2059-8818"},"institutions":[{"id":"https://openalex.org/I4210122543","display_name":"Guangdong Polytechnic Normal University","ror":"https://ror.org/02pcb5m77","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210122543"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fangyuan Lei","raw_affiliation_strings":["Guangdong Provincial Key Laboratory of Intellectual Property Big Data, Guangdong Polytechnic Normal University, Guangzhou, 510665, China","School of Electronic and Information, Guangdong Polytechnic Normal University, Guangzhou, 510665, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangdong Provincial Key Laboratory of Intellectual Property Big Data, Guangdong Polytechnic Normal University, Guangzhou, 510665, China","institution_ids":["https://openalex.org/I4210122543"]},{"raw_affiliation_string":"School of Electronic and Information, Guangdong Polytechnic Normal University, Guangzhou, 510665, China","institution_ids":["https://openalex.org/I4210122543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108351952","display_name":"Guoqing Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4403386539","display_name":"Software Engineering Institute of Guangzhou","ror":"https://ror.org/0549ke970","country_code":null,"type":"education","lineage":["https://openalex.org/I4403386539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqing Xia","raw_affiliation_strings":["Department of Electronics, Software Engineering Institute of Guangzhou, Guangzhou, 510990, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Software Engineering Institute of Guangzhou, Guangzhou, 510990, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4403386539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063343191"],"corresponding_institution_ids":["https://openalex.org/I4210122543"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":{"value":3390,"currency":"USD","value_usd":3390},"fwci":0.2607,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64782523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"2","first_page":"1017","last_page":"1026"},"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/T11478","display_name":"Caching and Content Delivery","score":0.9733999967575073,"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"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9642000198364258,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.813257098197937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7486987113952637},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5811684727668762},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.5053175091743469},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5052233338356018},{"id":"https://openalex.org/keywords/power-graph-analysis","display_name":"Power graph analysis","score":0.4981722831726074},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46970054507255554},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4221770465373993},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3855721056461334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3318827152252197},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.1150963306427002}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.813257098197937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7486987113952637},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5811684727668762},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5053175091743469},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5052233338356018},{"id":"https://openalex.org/C106937863","wikidata":"https://www.wikidata.org/wiki/Q7236518","display_name":"Power graph analysis","level":3,"score":0.4981722831726074},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46970054507255554},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4221770465373993},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3855721056461334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3318827152252197},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1150963306427002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12652-021-03355-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12652-021-03355-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12652-021-03355-x.pdf","source":{"id":"https://openalex.org/S48031226","display_name":"Journal of Ambient Intelligence and Humanized Computing","issn_l":"1868-5137","issn":["1868-5137","1868-5145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Ambient Intelligence and Humanized Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s12652-021-03355-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12652-021-03355-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12652-021-03355-x.pdf","source":{"id":"https://openalex.org/S48031226","display_name":"Journal of Ambient Intelligence and Humanized Computing","issn_l":"1868-5137","issn":["1868-5137","1868-5145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Ambient Intelligence and Humanized Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3278657573","display_name":null,"funder_award_id":"U1701266","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3739737469","display_name":null,"funder_award_id":"2020ZDZX3077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7953248009","display_name":null,"funder_award_id":"ky202012","funder_id":"https://openalex.org/F4320328715","funder_display_name":"Guangzhou University"},{"id":"https://openalex.org/G8508982622","display_name":null,"funder_award_id":"2018B030322016","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/F4320328715","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3192092126.pdf","grobid_xml":"https://content.openalex.org/works/W3192092126.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1932847118","https://openalex.org/W2194775991","https://openalex.org/W2558460151","https://openalex.org/W2599095274","https://openalex.org/W2606780347","https://openalex.org/W2788919350","https://openalex.org/W2794372970","https://openalex.org/W2883939061","https://openalex.org/W2899886700","https://openalex.org/W2903871660","https://openalex.org/W2907079035","https://openalex.org/W2907492528","https://openalex.org/W2950898568","https://openalex.org/W2962767366","https://openalex.org/W2962946486","https://openalex.org/W2963241951","https://openalex.org/W2963312446","https://openalex.org/W2963446712","https://openalex.org/W2963486920","https://openalex.org/W2963695795","https://openalex.org/W2963858333","https://openalex.org/W2963893572","https://openalex.org/W2963984147","https://openalex.org/W2964015378","https://openalex.org/W2964051675","https://openalex.org/W2964124573","https://openalex.org/W2964311892","https://openalex.org/W2964321699","https://openalex.org/W2965469401","https://openalex.org/W2971328361","https://openalex.org/W2979300990","https://openalex.org/W2990045899","https://openalex.org/W2998269939","https://openalex.org/W3005101328","https://openalex.org/W3010119622","https://openalex.org/W3037882573","https://openalex.org/W3152893301","https://openalex.org/W4210257598","https://openalex.org/W6608957642"],"related_works":["https://openalex.org/W4213150077","https://openalex.org/W2369410163","https://openalex.org/W2059018062","https://openalex.org/W2604585036","https://openalex.org/W2078477160","https://openalex.org/W1989103179","https://openalex.org/W1991172810","https://openalex.org/W125803343","https://openalex.org/W2153421018","https://openalex.org/W2117632582"],"abstract_inverted_index":{"Abstract":[0],"Graph":[1,65],"convolutional":[2,97],"networks":[3,25,146],"(GCNs)":[4],"have":[5,54],"become":[6],"the":[7,31,40,52,55,69,77,88,154],"de":[8],"facto":[9],"approaches":[10],"and":[11,60,71,120,138,150,164,171,179],"achieved":[12],"state-of-the-art":[13],"results":[14],"for":[15],"circumventing":[16],"many":[17,36,61],"real-world":[18],"problems":[19],"on":[20,144],"graph-structured":[21],"data.":[22],"However,":[23],"these":[24],"are":[26],"usually":[27],"shallow":[28],"due":[29],"to":[30,75,114,182],"over-smoothing":[32],"of":[33,43,50,57,80,177],"GCNs":[34],"with":[35],"layers,":[37],"which":[38],"limits":[39],"expressive":[41],"power":[42],"learning":[44],"graph":[45,96],"representations.":[46],"The":[47],"current":[48],"methods":[49,116],"solving":[51],"limitations":[53],"bottlenecks":[56],"high":[58],"complexity":[59,70],"parameters.":[62],"Although":[63],"Simple":[64],"Convolution":[66],"(SGC)":[67],"reduces":[68],"parameters,":[72],"it":[73],"fails":[74],"distinguish":[76],"feature":[78],"information":[79,125],"neighboring":[81],"nodes":[82],"at":[83,126],"different":[84],"distances.":[85],"To":[86],"tackle":[87],"limits,":[89],"we":[90],"propose":[91],"MulStepNET,":[92],"a":[93],"stronger":[94],"multi-step":[95,109],"network":[98],"architecture,":[99],"that":[100,153],"can":[101],"capture":[102],"more":[103,127,141],"global":[104],"information,":[105],"by":[106,161],"simultaneously":[107],"combining":[108],"neighborhoods":[110,124],"information.":[111],"When":[112],"compared":[113,181],"existing":[115],"such":[117],"as":[118],"GCN":[119],"MixHop,":[121],"MulStepNET":[122,156],"aggregates":[123],"distant":[128],"distances":[129],"via":[130],"multi-power":[131],"adjacency":[132],"matrix":[133],"while":[134,167],"fitting":[135],"fewest":[136],"parameters":[137],"being":[139],"computationally":[140],"efficient.":[142],"Experiments":[143],"citation":[145],"including":[147],"Pubmed,":[148],"Cora,":[149],"Citeseer":[151],"demonstrate":[152],"proposed":[155],"model":[157],"improves":[158],"over":[159],"SGC":[160],"2.8,":[162],"3.3,":[163],"2.1%":[165],"respectively":[166],"keeping":[168],"similar":[169],"stability,":[170],"achieves":[172],"better":[173],"performance":[174],"in":[175],"terms":[176],"accuracy":[178],"stability":[180],"other":[183],"baselines.":[184]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
