{"id":"https://openalex.org/W2395429589","doi":"https://doi.org/10.1109/tsp.2015.2436363","title":"Adaptive Networks Under Non-Stationary Conditions: Formulation, Performance Analysis, and Application","display_name":"Adaptive Networks Under Non-Stationary Conditions: Formulation, Performance Analysis, and Application","publication_year":2015,"publication_date":"2015-05-21","ids":{"openalex":"https://openalex.org/W2395429589","doi":"https://doi.org/10.1109/tsp.2015.2436363","mag":"2395429589"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2015.2436363","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2436363","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5032258000","display_name":"Hamed Nosrati","orcid":"https://orcid.org/0000-0003-1666-0137"},"institutions":[{"id":"https://openalex.org/I107853901","display_name":"Sahand University of Technology","ror":"https://ror.org/03wdrmh81","country_code":"IR","type":"education","lineage":["https://openalex.org/I107853901"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hamed Nosrati","raw_affiliation_strings":["Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran"],"raw_orcid":"https://orcid.org/0000-0003-1666-0137","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran","institution_ids":["https://openalex.org/I107853901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010017603","display_name":"Mousa Shamsi","orcid":"https://orcid.org/0000-0003-4670-0531"},"institutions":[{"id":"https://openalex.org/I107853901","display_name":"Sahand University of Technology","ror":"https://ror.org/03wdrmh81","country_code":"IR","type":"education","lineage":["https://openalex.org/I107853901"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mousa Shamsi","raw_affiliation_strings":["Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran","institution_ids":["https://openalex.org/I107853901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017440649","display_name":"Sayed Mostafa Taheri","orcid":"https://orcid.org/0000-0003-3717-8796"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sayed Mostafa Taheri","raw_affiliation_strings":["School of Electronics & Electrical Engineering, The University of Edinburgh, Edinburgh, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0003-3717-8796","affiliations":[{"raw_affiliation_string":"School of Electronics & Electrical Engineering, The University of Edinburgh, Edinburgh, United Kingdom","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024538069","display_name":"Mohammad Hossein Sedaaghi","orcid":"https://orcid.org/0000-0001-6937-9176"},"institutions":[{"id":"https://openalex.org/I107853901","display_name":"Sahand University of Technology","ror":"https://ror.org/03wdrmh81","country_code":"IR","type":"education","lineage":["https://openalex.org/I107853901"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Hossein Sedaaghi","raw_affiliation_strings":["Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran","institution_ids":["https://openalex.org/I107853901"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3498,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.91708921,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"16","first_page":"4300","last_page":"4314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9937000274658203,"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/T11236","display_name":"Control Systems and Identification","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.6045210957527161},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5558369159698486},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.5486559867858887},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5403023958206177},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5069859027862549},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.49467965960502625},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4741204082965851},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43351301550865173},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43055811524391174},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.4304276704788208},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40750402212142944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38615089654922485},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16568931937217712},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08057668805122375}],"concepts":[{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6045210957527161},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5558369159698486},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.5486559867858887},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5403023958206177},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5069859027862549},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.49467965960502625},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4741204082965851},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43351301550865173},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43055811524391174},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.4304276704788208},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40750402212142944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38615089654922485},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16568931937217712},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08057668805122375},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2015.2436363","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2436363","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1528719522","https://openalex.org/W1606627838","https://openalex.org/W1929465856","https://openalex.org/W1970997001","https://openalex.org/W1988827501","https://openalex.org/W1991923537","https://openalex.org/W1996130780","https://openalex.org/W2005152169","https://openalex.org/W2022554507","https://openalex.org/W2029080014","https://openalex.org/W2030720509","https://openalex.org/W2039876715","https://openalex.org/W2040984620","https://openalex.org/W2044212084","https://openalex.org/W2049249092","https://openalex.org/W2050643117","https://openalex.org/W2051487990","https://openalex.org/W2069419462","https://openalex.org/W2080522017","https://openalex.org/W2081687244","https://openalex.org/W2082442449","https://openalex.org/W2097872486","https://openalex.org/W2108460987","https://openalex.org/W2111714602","https://openalex.org/W2118771073","https://openalex.org/W2118776392","https://openalex.org/W2119434824","https://openalex.org/W2120325270","https://openalex.org/W2122372293","https://openalex.org/W2130442323","https://openalex.org/W2130588592","https://openalex.org/W2140035903","https://openalex.org/W2141730627","https://openalex.org/W2141788746","https://openalex.org/W2143307907","https://openalex.org/W2151778434","https://openalex.org/W2481550175","https://openalex.org/W6631544896"],"related_works":["https://openalex.org/W2171218219","https://openalex.org/W2159465694","https://openalex.org/W2106512568","https://openalex.org/W2077550944","https://openalex.org/W2030822348","https://openalex.org/W2890578400","https://openalex.org/W2896281715","https://openalex.org/W1964722880","https://openalex.org/W2750849650","https://openalex.org/W2151497195"],"abstract_inverted_index":{"In":[0,59],"this":[1],"paper,":[2],"we":[3,22,61,102,128],"thoroughly":[4],"investigate":[5],"the":[6,26,43,66,90,109,121,124,137,162,177,186,191,200],"tracking":[7],"behavior":[8,146],"of":[9,13,29,42,92,106,123,133,161,199],"a":[10,74,86,104,196],"wide":[11],"range":[12],"adaptive":[14,37,134,169],"networks":[15],"under":[16],"non-stationary":[17],"conditions.":[18,155],"Under":[19],"these":[20,57],"conditions,":[21,164],"study":[23],"and":[24,33,48,76,144,153,190],"analyze":[25],"mean-square-error":[27],"performance":[28],"all":[30],"centralized,":[31],"incremental,":[32],"diffusion":[34,175,201],"algorithms":[35,135,170],"for":[36,56,136,150],"networks.":[38],"The":[39,156,206],"closed":[40],"forms":[41],"steady-state":[44,154],"mean-square":[45,50],"deviation":[46],"(MSD)":[47],"excess":[49],"error":[51],"(EMSE)":[52],"criteria":[53],"are":[54,83,209],"extracted":[55,84],"algorithms.":[58],"addition,":[60],"apply":[62],"our":[63],"findings":[64,208],"to":[65],"time-varying":[67,81],"autoregressive":[68],"(TVAR)":[69],"modeling":[70],"problem,":[71],"which":[72],"is":[73,115,148],"significant":[75],"common":[77],"engineering":[78],"application.":[79],"Generally,":[80],"parameters":[82],"from":[85],"single-point":[87],"observation;":[88],"however,":[89],"employment":[91],"numerous":[93],"observations":[94,107],"may":[95],"be":[96],"necessary":[97],"in":[98,108,203],"some":[99],"cases.":[100],"Therefore,":[101],"consider":[103],"set":[105],"corresponding":[110],"model":[111,139],"identification":[112,140],"problem.":[113,141],"It":[114],"shown":[116],"that":[117,159,204],"doing":[118],"so":[119],"improves":[120],"resolution":[122],"estimated":[125],"parameters.":[126],"Moreover,":[127],"theoretically":[129],"examine":[130],"various":[131],"types":[132],"TVAR":[138],"Furthermore,":[142],"node":[143],"network":[145],"analysis":[147,157],"performed":[149],"both":[151],"transient":[152],"proves":[158],"regardless":[160],"stationary":[163],"neither":[165],"centralized":[166],"nor":[167],"incremental":[168],"dominate":[171],"universally.":[172],"However,":[173],"among":[174],"algorithms,":[176],"adapt-then-combine":[178],"(ATC)":[179],"approach":[180,189,193],"demonstrates":[181],"superior":[182],"performance,":[183],"followed":[184],"by":[185,212],"combine-then-adapt":[187],"(CTA)":[188],"non-cooperative":[192],"(treated":[194],"as":[195],"special":[197],"case":[198],"strategy),":[202],"order.":[205],"theoretical":[207],"well":[210],"supported":[211],"simulation":[213],"results.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}