{"id":"https://openalex.org/W2992612450","doi":"https://doi.org/10.1109/tnse.2019.2954893","title":"Sparsity-Inspired Optimal Topology Control of Complex Networks","display_name":"Sparsity-Inspired Optimal Topology Control of Complex Networks","publication_year":2019,"publication_date":"2019-12-03","ids":{"openalex":"https://openalex.org/W2992612450","doi":"https://doi.org/10.1109/tnse.2019.2954893","mag":"2992612450"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2019.2954893","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2019.2954893","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5029275607","display_name":"Jie Ding","orcid":"https://orcid.org/0000-0002-5637-228X"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Ding","raw_affiliation_strings":["Adaptive Networks and Control Laboratory, Department of Electronic Engineering, Research Center of Smart Networks and Systems, School of Information Science and Engineering, Fudan University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-5637-228X","affiliations":[{"raw_affiliation_string":"Adaptive Networks and Control Laboratory, Department of Electronic Engineering, Research Center of Smart Networks and Systems, School of Information Science and Engineering, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344158","display_name":"Changyun Wen","orcid":"https://orcid.org/0000-0001-9530-360X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Changyun Wen","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-9530-360X","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018970859","display_name":"Guoqi Li","orcid":"https://orcid.org/0000-0002-8994-431X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqi Li","raw_affiliation_strings":["Beijing Innovation Center for Future Chip, Tsinghua University, Beijing, China","Department of Precision Instrument, Center for Brain Inspired Computing Research, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8994-431X","affiliations":[{"raw_affiliation_string":"Beijing Innovation Center for Future Chip, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Precision Instrument, Center for Brain Inspired Computing Research, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104272403","display_name":"Xulei Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xulei Yang","raw_affiliation_strings":["Institute for Infocomm Research, Agency for Science, Technology and Research, Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076233549","display_name":"Tianjiang Hu","orcid":"https://orcid.org/0000-0002-0587-6752"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianjiang Hu","raw_affiliation_strings":["Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0587-6752","affiliations":[{"raw_affiliation_string":"Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4165,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.61520091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"7","issue":"3","first_page":"1825","last_page":"1839"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9994000196456909,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9994000196456909,"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/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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9968000054359436,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6482056379318237},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6147816181182861},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5765380263328552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5571512579917908},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.5558595061302185},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5392398238182068},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.522429883480072},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.432778000831604},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.41263046860694885},{"id":"https://openalex.org/keywords/topology-control","display_name":"Topology control","score":0.411369264125824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32361096143722534},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.17743352055549622},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.11744353175163269},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08024483919143677}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6482056379318237},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6147816181182861},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5765380263328552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5571512579917908},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.5558595061302185},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5392398238182068},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.522429883480072},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.432778000831604},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.41263046860694885},{"id":"https://openalex.org/C2778034918","wikidata":"https://www.wikidata.org/wiki/Q3689301","display_name":"Topology control","level":5,"score":0.411369264125824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32361096143722534},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.17743352055549622},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.11744353175163269},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08024483919143677},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C41971633","wikidata":"https://www.wikidata.org/wiki/Q6398155","display_name":"Key distribution in wireless sensor networks","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2019.2954893","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2019.2954893","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W104184427","https://openalex.org/W1516535719","https://openalex.org/W1551112541","https://openalex.org/W1574634131","https://openalex.org/W1595843099","https://openalex.org/W1798749457","https://openalex.org/W1834582464","https://openalex.org/W1877916171","https://openalex.org/W1964385009","https://openalex.org/W1977106787","https://openalex.org/W1978259121","https://openalex.org/W1982821381","https://openalex.org/W1983236941","https://openalex.org/W1985286768","https://openalex.org/W1988720110","https://openalex.org/W2021198281","https://openalex.org/W2025348025","https://openalex.org/W2030949386","https://openalex.org/W2074228452","https://openalex.org/W2078008084","https://openalex.org/W2089758604","https://openalex.org/W2097142169","https://openalex.org/W2100145912","https://openalex.org/W2101420429","https://openalex.org/W2104109956","https://openalex.org/W2111725629","https://openalex.org/W2116909032","https://openalex.org/W2117344017","https://openalex.org/W2119122547","https://openalex.org/W2122825543","https://openalex.org/W2130476447","https://openalex.org/W2148570604","https://openalex.org/W2148606196","https://openalex.org/W2153624566","https://openalex.org/W2164727176","https://openalex.org/W2164928285","https://openalex.org/W2170723553","https://openalex.org/W2231804498","https://openalex.org/W2260016195","https://openalex.org/W2296217093","https://openalex.org/W2336631630","https://openalex.org/W2403886388","https://openalex.org/W2412768033","https://openalex.org/W2518887685","https://openalex.org/W2573873867","https://openalex.org/W2595142274","https://openalex.org/W2607816388","https://openalex.org/W2736881700","https://openalex.org/W2745303228","https://openalex.org/W2761626618","https://openalex.org/W2791294792","https://openalex.org/W2796112166","https://openalex.org/W2909754417","https://openalex.org/W2962901319","https://openalex.org/W2963186114","https://openalex.org/W4229706427","https://openalex.org/W4240438002","https://openalex.org/W6604254268","https://openalex.org/W6677598287","https://openalex.org/W6689344316","https://openalex.org/W6697356429","https://openalex.org/W6713468404","https://openalex.org/W6734797129","https://openalex.org/W6750472296"],"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":{"So":[0],"far":[1],"there":[2],"are":[3,60,134],"still":[4],"limited":[5],"results":[6],"on":[7],"the":[8,36,44,63,76,88,103,117,120,138,155,174,187],"role":[9],"of":[10,82,119,140,178,191],"network":[11],"topology":[12,37,122],"matrix":[13,38],"in":[14,52,62,142,158,169,186],"controlling":[15,170],"complex":[16,192],"networks":[17,172],"with":[18,69,123,152],"minimum":[19,124],"control":[20,45,125,175],"cost.":[21,46,126],"In":[22],"this":[23,27],"article,":[24],"we":[25,115],"study":[26],"problem":[28,77,157],"and":[29,57,137,167,189],"propose":[30],"an":[31],"optimization":[32,64,89],"model":[33,90],"by":[34],"considering":[35],"as":[39],"a":[40,93,164],"variable":[41],"to":[42,74,100],"minimize":[43],"As":[47,87],"sparsity":[48],"nature":[49],"commonly":[50],"exists":[51],"many":[53],"real-world":[54],"networks,":[55],"sparse,":[56],"non-negative":[58],"constraints":[59],"included":[61],"model.":[65],"Sparse":[66],"projected":[67],"gradient":[68],"momentum":[70],"(SPGM)":[71],"is":[72,84,91,97,106,128,145,149],"proposed":[73],"solve":[75],"numerically.":[78],"The":[79],"convergence":[80],"property":[81],"SPGM":[83],"theoretically":[85],"established.":[86],"non-convex,":[92],"possible":[94],"optimality":[95],"condition":[96],"further":[98],"derived":[99],"determine":[101],"whether":[102],"converged":[104],"solution":[105],"global":[107],"optimal":[108,121],"or":[109],"not.":[110],"Through":[111],"numerous":[112],"extensive":[113],"simulations,":[114],"investigate":[116],"characteristics":[118],"It":[127],"found":[129],"that":[130,181],"several":[131],"identical/similar":[132],"stems":[133],"naturally":[135],"evolved":[136],"number":[139],"nodes":[141],"each":[143],"stem":[144],"evenly":[146],"distributed,":[147],"which":[148],"also":[150],"verified":[151],"examples":[153],"from":[154,173],"cooperation":[156],"social":[159],"networks.":[160,193],"These":[161],"findings":[162],"provide":[163],"comprehensive":[165],"understanding":[166],"explanation":[168],"real-life":[171],"energy":[176],"point":[177],"view,":[179],"suggesting":[180],"some":[182],"underlying":[183],"universal":[184],"mechanism":[185],"formation":[188],"evolution":[190]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
