{"id":"https://openalex.org/W4388819750","doi":"https://doi.org/10.1109/lcsys.2023.3334548","title":"Two-Layer Diffusion Adaptive Filters Over Directed Markovian Switching Networks","display_name":"Two-Layer Diffusion Adaptive Filters Over Directed Markovian Switching Networks","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4388819750","doi":"https://doi.org/10.1109/lcsys.2023.3334548"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3334548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3334548","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5084014783","display_name":"Siyu Xie","orcid":"https://orcid.org/0000-0001-7234-7861"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siyu Xie","raw_affiliation_strings":["School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-7234-7861","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034985733","display_name":"Die Gan","orcid":"https://orcid.org/0000-0001-5519-8876"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Die Gan","raw_affiliation_strings":["Zhongguancun Laboratory, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-5519-8876","affiliations":[{"raw_affiliation_string":"Zhongguancun Laboratory, Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100700534","display_name":"Zhixin Liu","orcid":"https://orcid.org/0000-0002-1157-7943"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhixin Liu","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-1157-7943","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1971,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48410696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"7","issue":null,"first_page":"3501","last_page":"3506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998000264167786,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998000264167786,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9902999997138977,"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":0.6095690727233887},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6027820110321045},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5671941637992859},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.5302827954292297},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.503196656703949},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.4945773780345917},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.481270968914032},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4476109743118286},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.41167503595352173},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3948771059513092},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38005563616752625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2980536222457886},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13390687108039856},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07868930697441101},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07759475708007812}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6095690727233887},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6027820110321045},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5671941637992859},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.5302827954292297},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.503196656703949},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.4945773780345917},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.481270968914032},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4476109743118286},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.41167503595352173},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3948771059513092},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38005563616752625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2980536222457886},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13390687108039856},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07868930697441101},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07759475708007812},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2023.3334548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3334548","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3045771181","display_name":null,"funder_award_id":"PCL2023AS1-2","funder_id":"https://openalex.org/F4320318558","funder_display_name":"Peng Cheng Laboratory"},{"id":"https://openalex.org/G3345344894","display_name":null,"funder_award_id":"2023T160605","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320318558","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1985235227","https://openalex.org/W2040135606","https://openalex.org/W2042664989","https://openalex.org/W2054127449","https://openalex.org/W2069419462","https://openalex.org/W2110482969","https://openalex.org/W2121820607","https://openalex.org/W2130359405","https://openalex.org/W2173639595","https://openalex.org/W2395429589","https://openalex.org/W2734760845","https://openalex.org/W2743905692","https://openalex.org/W2770259009","https://openalex.org/W2792511998","https://openalex.org/W2794841504","https://openalex.org/W2870164242","https://openalex.org/W2894369447","https://openalex.org/W3122560455","https://openalex.org/W4238591275","https://openalex.org/W4286306222"],"related_works":["https://openalex.org/W3125750421","https://openalex.org/W2949765904","https://openalex.org/W4306949324","https://openalex.org/W618363683","https://openalex.org/W1978104062","https://openalex.org/W1984342464","https://openalex.org/W4388544318","https://openalex.org/W636031027","https://openalex.org/W1518756697","https://openalex.org/W594289152"],"abstract_inverted_index":{"We":[0,53],"consider":[1],"the":[2,17,57,63,68,85,94,98,105,130,133,144,148,154,164,175],"problem":[3],"of":[4,14,26,87,104],"distributed":[5],"adaptive":[6,39,109],"filtering":[7],"in":[8,16,67,97,129],"this":[9],"paper,":[10],"where":[11,62],"a":[12,44,114],"set":[13],"nodes":[15,66],"network":[18,69,150],"is":[19],"required":[20],"to":[21,48],"estimate":[22,143],"an":[23],"unknown":[24,145],"parameter":[25,146],"interest":[27],"from":[28],"noisy":[29],"measurements":[30],"cooperatively.":[31],"Based":[32],"on":[33,43],"normalized":[34],"least":[35],"mean":[36],"squares":[37],"(NLMS)":[38],"filters,":[40],"we":[41],"focus":[42],"two-layer":[45,58,99,107,166],"diffusion":[46,59,108,167],"strategy":[47],"diffuse":[49],"data":[50],"more":[51],"thoroughly.":[52],"propose":[54],"and":[55,121],"analyze":[56],"NLMS":[60,168],"algorithm,":[61],"communications":[64],"between":[65],"are":[70,80,111],"described":[71],"by":[72],"directed":[73,78],"Markovian":[74],"switching":[75],"graphs.":[76],"The":[77,101],"graphs":[79],"not":[81],"only":[82],"used":[83,92,128],"for":[84,93],"combination":[86],"local":[88],"estimates":[89],"but":[90],"also":[91,161],"adaptation":[95],"step":[96],"strategy.":[100],"stability":[102,134],"results":[103,160],"proposed":[106,165],"filters":[110],"established":[112],"under":[113],"general":[115],"cooperative":[116],"information":[117],"assumption,":[118],"without":[119],"independence":[120],"stationarity":[122],"signal":[123],"conditions":[124],"which":[125],"were":[126],"widely":[127],"literature.":[131],"Moreover,":[132],"result":[135],"indicates":[136],"that":[137,163],"even":[138],"if":[139],"any":[140],"node":[141],"cannot":[142],"individually,":[147],"whole":[149],"can":[151],"still":[152],"fulfill":[153],"estimation":[155],"task":[156],"through":[157],"communications.":[158],"Simulation":[159],"show":[162],"algorithm":[169],"has":[170],"better":[171],"performance":[172],"compared":[173],"with":[174],"consensus":[176],"one.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}