{"id":"https://openalex.org/W2936520690","doi":"https://doi.org/10.1109/icassp.2019.8682433","title":"Quaternion-Valued Adaptive Filtering via Nesterov\u2019s Extrapolation","display_name":"Quaternion-Valued Adaptive Filtering via Nesterov\u2019s Extrapolation","publication_year":2019,"publication_date":"2019-04-17","ids":{"openalex":"https://openalex.org/W2936520690","doi":"https://doi.org/10.1109/icassp.2019.8682433","mag":"2936520690"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2019.8682433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8682433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-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/A5035871131","display_name":"Thiernithi Variddhisa\u00ef","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Thiernithi Variddhisai","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071836863","display_name":"Min Xiang","orcid":"https://orcid.org/0000-0002-0239-3392"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Min Xiang","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052139937","display_name":"S.C. Douglas","orcid":"https://orcid.org/0009-0002-5983-0861"},"institutions":[{"id":"https://openalex.org/I178169726","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378","country_code":"US","type":"education","lineage":["https://openalex.org/I178169726"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott C. Douglas","raw_affiliation_strings":["Department of Electrical Engineering, Southern Methodist University, Dallas, Texas, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Southern Methodist University, Dallas, Texas, USA","institution_ids":["https://openalex.org/I178169726"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103001848","display_name":"Danilo P. Mandic","orcid":"https://orcid.org/0000-0001-8432-3963"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Danilo P. Mandic","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035871131"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03610339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4868","last_page":"4872"},"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9991999864578247,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.8096098899841309},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.7290714979171753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6230283975601196},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5463606715202332},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.48635393381118774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48283323645591736},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.4824855625629425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48045986890792847},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4356808662414551},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.42861780524253845},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.413992315530777},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3224168121814728},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28340843319892883}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.8096098899841309},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.7290714979171753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6230283975601196},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5463606715202332},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.48635393381118774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48283323645591736},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.4824855625629425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48045986890792847},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4356808662414551},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.42861780524253845},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.413992315530777},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3224168121814728},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28340843319892883},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2019.8682433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8682433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W592889898","https://openalex.org/W632146489","https://openalex.org/W1538882755","https://openalex.org/W1802825888","https://openalex.org/W1855615675","https://openalex.org/W1921661266","https://openalex.org/W1939850887","https://openalex.org/W1996040242","https://openalex.org/W2040575700","https://openalex.org/W2049997122","https://openalex.org/W2087681470","https://openalex.org/W2090550497","https://openalex.org/W2099057098","https://openalex.org/W2099873122","https://openalex.org/W2106801157","https://openalex.org/W2107885148","https://openalex.org/W2114264547","https://openalex.org/W2114765937","https://openalex.org/W2121713720","https://openalex.org/W2125432580","https://openalex.org/W2126186068","https://openalex.org/W2127447444","https://openalex.org/W2146023156","https://openalex.org/W2146434970","https://openalex.org/W2146482778","https://openalex.org/W2149778745","https://openalex.org/W2161397505","https://openalex.org/W2170400088","https://openalex.org/W2280409827","https://openalex.org/W2330072965","https://openalex.org/W2398993944","https://openalex.org/W2484847335","https://openalex.org/W2489292218","https://openalex.org/W2767319944","https://openalex.org/W2780762438","https://openalex.org/W2936995161","https://openalex.org/W2963982127","https://openalex.org/W3099931851","https://openalex.org/W4239240501","https://openalex.org/W4301253858","https://openalex.org/W4312840031","https://openalex.org/W6761030284","https://openalex.org/W6908479905"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W4296478327","https://openalex.org/W1960072520","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W3127350447","https://openalex.org/W2220129715","https://openalex.org/W3108700312","https://openalex.org/W2182582018"],"abstract_inverted_index":{"A":[0],"new":[1],"quaternion-valued":[2],"adaptive":[3,67],"filtering":[4],"algorithm":[5,15,73],"based":[6,30],"on":[7],"extrapolated":[8],"weight":[9],"methods":[10,62],"is":[11,32,74,91],"proposed.":[12],"The":[13,69],"proposed":[14,89],"belongs":[16],"to":[17,34,76,85],"the":[18,38,46,88,98],"class":[19,26,71],"of":[20,27,48,72],"conjugate":[21],"direction":[22],"algorithms":[23,31,36],"[1].":[24],"This":[25,56],"extrapolation":[28],"(momentum)":[29],"preferred":[33],"RLS-based":[35],"when":[37],"matrix":[39],"inversion":[40],"should":[41],"be":[42],"avoided,":[43],"e.g.":[44],"in":[45,63,97],"case":[47],"non-vector":[49],"signals,":[50],"sparse":[51],"signals":[52],"or":[53],"non-stationary":[54,99],"signals.":[55],"paper":[57],"introduces":[58],"Nesterov's":[59],"optimal":[60],"gradient":[61],"widely":[64],"linear":[65],"quaternion":[66],"filtering.":[68],"resulting":[70],"shown":[75],"both":[77],"have":[78],"similar":[79],"computational":[80],"complexity":[81],"and":[82,94],"comparable":[83],"performance":[84],"WLQRLS;":[86],"however,":[87],"method":[90],"more":[92],"stable":[93],"outperforms":[95],"WLQRLS":[96],"case.":[100]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}