{"id":"https://openalex.org/W2616605749","doi":"https://doi.org/10.1109/tsp.2017.2703677","title":"Diffusion LMS With Correlated Regressors II: Performance","display_name":"Diffusion LMS With Correlated Regressors II: Performance","publication_year":2017,"publication_date":"2017-05-15","ids":{"openalex":"https://openalex.org/W2616605749","doi":"https://doi.org/10.1109/tsp.2017.2703677","mag":"2616605749"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2017.2703677","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2017.2703677","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/A5056263605","display_name":"Marc J. Piggott","orcid":"https://orcid.org/0000-0001-5576-8867"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Marc James Piggott","raw_affiliation_strings":["Department of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091154507","display_name":"Victor Solo","orcid":"https://orcid.org/0000-0002-5123-7708"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Victor Solo","raw_affiliation_strings":["Department of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":1.8951,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.84084012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"65","issue":"15","first_page":"3934","last_page":"3947"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9825000166893005,"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"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9635000228881836,"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":0.46513551473617554},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.45462751388549805},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4090577960014343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40012887120246887},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.35959166288375854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3490803837776184},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13340452313423157}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46513551473617554},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.45462751388549805},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4090577960014343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40012887120246887},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.35959166288375854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3490803837776184},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13340452313423157},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2017.2703677","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2017.2703677","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W87496662","https://openalex.org/W391578156","https://openalex.org/W1481113719","https://openalex.org/W1499021337","https://openalex.org/W1550574544","https://openalex.org/W1568229137","https://openalex.org/W1590069794","https://openalex.org/W1973240854","https://openalex.org/W1979043738","https://openalex.org/W1980362252","https://openalex.org/W1996484339","https://openalex.org/W2007208291","https://openalex.org/W2017273365","https://openalex.org/W2024307985","https://openalex.org/W2027481851","https://openalex.org/W2029080014","https://openalex.org/W2030319782","https://openalex.org/W2046090497","https://openalex.org/W2050643117","https://openalex.org/W2056871913","https://openalex.org/W2064541199","https://openalex.org/W2068254488","https://openalex.org/W2071607622","https://openalex.org/W2077274021","https://openalex.org/W2080041034","https://openalex.org/W2082904296","https://openalex.org/W2086502731","https://openalex.org/W2092634057","https://openalex.org/W2098601171","https://openalex.org/W2100590393","https://openalex.org/W2100967164","https://openalex.org/W2103030345","https://openalex.org/W2106901427","https://openalex.org/W2110104109","https://openalex.org/W2112891556","https://openalex.org/W2118776392","https://openalex.org/W2119831359","https://openalex.org/W2121820607","https://openalex.org/W2123183226","https://openalex.org/W2130263842","https://openalex.org/W2130359405","https://openalex.org/W2130551602","https://openalex.org/W2134442700","https://openalex.org/W2137435346","https://openalex.org/W2138822887","https://openalex.org/W2142737631","https://openalex.org/W2145357459","https://openalex.org/W2161141257","https://openalex.org/W2173639595","https://openalex.org/W2267629510","https://openalex.org/W2412976330","https://openalex.org/W2784242638","https://openalex.org/W2963157432","https://openalex.org/W2963544917","https://openalex.org/W3103113203","https://openalex.org/W4205987271","https://openalex.org/W4238850922","https://openalex.org/W6681025714","https://openalex.org/W6681471581","https://openalex.org/W6684139056","https://openalex.org/W6747981300","https://openalex.org/W6946207649"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Over":[0],"the":[1,59,78,95,98,106,123,141,152,177],"past":[2],"decade,":[3],"diffusion":[4],"LMS":[5],"and":[6,17,42,44,50,92,128,138,149,156,167,179],"real-time":[7],"consensus":[8],"(RTC)":[9],"adaptive":[10],"network":[11,154],"algorithms":[12,130],"have":[13,151],"been":[14],"widely":[15],"used":[16],"studied.":[18],"However,":[19],"their":[20],"performance":[21,56,96,139],"analysis":[22],"has":[23],"relied":[24],"on":[25,116],"white":[26],"regressor":[27],"assumptions,":[28],"which":[29],"are":[30,131,170,181],"not":[31],"satisfied":[32],"in":[33,134,140],"practice.":[34],"Here,":[35],"we":[36,63,162],"consider":[37],"both":[38,88,176],"temporally":[39,89,182],"correlated":[40,90],"regressors":[41,91,178],"noise":[43,93,180],"give":[45],"mean":[46,52],"squared":[47,53],"deviation":[48],"(MSD)":[49],"excess":[51],"error":[54],"(EMSE)":[55],"results":[57,85,169],"for":[58,101],"first":[60,159,173],"time.":[61],"Furthermore,":[62],"employ":[64],"a":[65],"novel":[66],"second-order":[67],"mixed":[68],"time-scale":[69],"stochastic":[70],"averaging":[71],"approach":[72],"to":[73,158,172],"study":[74],"realization-wise":[75],"fluctuations":[76],"of":[77,97,112,136],"parameter":[79],"estimation":[80],"error.":[81],"Critically,":[82],"our":[83],"new":[84],"show":[86,121],"that":[87,122,164],"affect":[94],"algorithms,":[99],"even":[100],"small":[102],"gains.":[103],"Simulations":[104],"illustrate":[105],"results.":[107],"This":[108],"is":[109],"Part":[110],"II":[111],"an":[113],"earlier":[114],"work":[115],"stability.":[117],"Together,":[118],"these":[119],"works":[120],"Adapt-Then-Combine":[124],"(ATC),":[125],"Combine-Then-Adapt":[126],"(CTA),":[127],"RTC":[129,150],"strikingly":[132],"similar":[133],"terms":[135],"stability":[137],"slow":[142],"adaptation":[143],"regime.":[144],"In":[145],"particular,":[146],"ATC,":[147],"CTA,":[148],"same":[153],"MSD":[155,166],"EMSE":[157,168],"order.":[160],"Moreover,":[161],"conclude":[163],"existing":[165],"insufficient":[171],"order":[174],"when":[175],"correlated.":[183]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}