{"id":"https://openalex.org/W4385863738","doi":"https://doi.org/10.1109/tsmc.2023.3298930","title":"Reconstruction and Layer Division of Unknown Multilayer Networks","display_name":"Reconstruction and Layer Division of Unknown Multilayer Networks","publication_year":2023,"publication_date":"2023-08-16","ids":{"openalex":"https://openalex.org/W4385863738","doi":"https://doi.org/10.1109/tsmc.2023.3298930"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2023.3298930","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3298930","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5001956640","display_name":"Xiaoqun Wu","orcid":"https://orcid.org/0000-0001-5065-6460"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoqun Wu","raw_affiliation_strings":["School of Mathematics and Statistics and the Research Center of Complex Network, Wuhan University, Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics and the Research Center of Complex Network, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028065996","display_name":"Ziye Fan","orcid":"https://orcid.org/0000-0002-2336-9009"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziye Fan","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101340443","display_name":"Jinmiao He","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinmiao He","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059229969","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0001-9596-2752"},"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":"Wei Wang","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","Zhongguancun Laboratory, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Zhongguancun Laboratory, Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"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":"Jinhu L\u00fc","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","Zhongguancun Laboratory, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Zhongguancun Laboratory, Beijing, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5001956640"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":1.9463,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84344151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"53","issue":"12","first_page":"7794","last_page":"7804"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9959999918937683,"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/T10666","display_name":"Photonic Crystals and Applications","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/robustness","display_name":"Robustness (evolution)","score":0.7655329704284668},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6956896781921387},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6548686623573303},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6280822157859802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6085317730903625},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5006265640258789},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4474039375782013},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.4408474862575531},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.41781002283096313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26087868213653564},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1705377995967865},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12288755178451538},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12283933162689209},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.10636317729949951},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09536144137382507},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07245966792106628},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.06990990042686462}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7655329704284668},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6956896781921387},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6548686623573303},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6280822157859802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6085317730903625},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5006265640258789},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4474039375782013},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.4408474862575531},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.41781002283096313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26087868213653564},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1705377995967865},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12288755178451538},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12283933162689209},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.10636317729949951},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09536144137382507},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07245966792106628},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.06990990042686462},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2023.3298930","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3298930","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.47999998927116394}],"awards":[{"id":"https://openalex.org/G2415565141","display_name":null,"funder_award_id":"61973241","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5582009282","display_name":null,"funder_award_id":"62022008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G561250190","display_name":null,"funder_award_id":"62141604","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":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1967531011","https://openalex.org/W1967901352","https://openalex.org/W1974430480","https://openalex.org/W2040311844","https://openalex.org/W2049879616","https://openalex.org/W2055101306","https://openalex.org/W2081775418","https://openalex.org/W2092994772","https://openalex.org/W2098005762","https://openalex.org/W2112090702","https://openalex.org/W2118527621","https://openalex.org/W2120043163","https://openalex.org/W2127048411","https://openalex.org/W2129131372","https://openalex.org/W2142587090","https://openalex.org/W2144885342","https://openalex.org/W2145096794","https://openalex.org/W2283907552","https://openalex.org/W2317859329","https://openalex.org/W2343286188","https://openalex.org/W2433755661","https://openalex.org/W2524842917","https://openalex.org/W2587812844","https://openalex.org/W2593940606","https://openalex.org/W2767131108","https://openalex.org/W2768800310","https://openalex.org/W2774446342","https://openalex.org/W2791154213","https://openalex.org/W2800892007","https://openalex.org/W2897296328","https://openalex.org/W2922486454","https://openalex.org/W2980573579","https://openalex.org/W2995653404","https://openalex.org/W3000268210","https://openalex.org/W3043196760","https://openalex.org/W3049752772","https://openalex.org/W3094282938","https://openalex.org/W3102641634","https://openalex.org/W3103589660","https://openalex.org/W3118346077","https://openalex.org/W3158881278","https://openalex.org/W3179263490","https://openalex.org/W3203594319","https://openalex.org/W4213366683","https://openalex.org/W4220734243","https://openalex.org/W4224007992","https://openalex.org/W4226373123","https://openalex.org/W4292363360","https://openalex.org/W4308734459","https://openalex.org/W4313029992"],"related_works":["https://openalex.org/W2046491619","https://openalex.org/W2389142552","https://openalex.org/W2239929624","https://openalex.org/W2883804989","https://openalex.org/W1974803732","https://openalex.org/W2008556190","https://openalex.org/W3203799340","https://openalex.org/W2785358337","https://openalex.org/W596237000","https://openalex.org/W1505087206"],"abstract_inverted_index":{"Topology":[0],"identification":[1,21],"of":[2,6,12,22,28,32,85,97,111],"multilayer":[3,23,54],"networks":[4,24],"is":[5,46],"great":[7],"significance":[8],"in":[9,38,41,49,64,90],"the":[10,26,29,35,44,65,71,75,83,95],"fields":[11],"information,":[13],"engineering,":[14],"and":[15,34,74,109],"society.":[16],"Current":[17],"research":[18],"on":[19,79],"topology":[20,76],"requires":[25],"knowledge":[27],"specific":[30,72],"number":[31,84,96],"layers":[33,73,86],"corresponding":[36],"nodes":[37],"each":[39],"layer":[40],"advance.":[42],"However,":[43],"information":[45],"often":[47],"unknown":[48,57],"reality.":[50],"Herein,":[51],"for":[52],"a":[53],"network":[55],"with":[56],"layers,":[58],"where":[59],"node":[60,99],"dynamic":[61,100],"functions":[62,101],"are":[63,114],"quadratic":[66],"form,":[67],"we":[68],"can":[69,87],"obtain":[70],"structure":[77],"based":[78],"compressive":[80],"sensing.":[81],"Notably,":[82],"be":[88],"obtained":[89],"two":[91],"ways:":[92],"1)":[93],"by":[94],"diverse":[98],"or":[102],"2)":[103],"inner":[104],"coupling":[105],"matrices.":[106],"The":[107],"effectiveness":[108],"robustness":[110],"our":[112],"method":[113],"verified":[115],"through":[116],"numerical":[117],"simulations.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
