{"id":"https://openalex.org/W4409640783","doi":"https://doi.org/10.1109/lsp.2025.3563133","title":"Moving Average-Based Variable Projection for Separable Nonlinear Problems","display_name":"Moving Average-Based Variable Projection for Separable Nonlinear Problems","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4409640783","doi":"https://doi.org/10.1109/lsp.2025.3563133"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2025.3563133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2025.3563133","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing 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/A5074427200","display_name":"Peng Xue","orcid":"https://orcid.org/0000-0003-3981-117X"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Xue","raw_affiliation_strings":["College of Computer Science and Big Data, Fuzhou University, Fuzhou, China","College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Big Data, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]},{"raw_affiliation_string":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047001937","display_name":"Min Gan","orcid":"https://orcid.org/0000-0002-2756-0054"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Gan","raw_affiliation_strings":["College of Computer Science and Big Data, Fuzhou University, Fuzhou, China","College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Big Data, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]},{"raw_affiliation_string":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083388970","display_name":"Yuan Fang","orcid":"https://orcid.org/0009-0009-6700-8908"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Yuan","raw_affiliation_strings":["College of Computer Science and Technology, Qing dao University, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Qing dao University, Qingdao, China","institution_ids":["https://openalex.org/I143413998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002763479","display_name":"Guangyong Chen","orcid":"https://orcid.org/0000-0003-2088-9188"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang-Yong Chen","raw_affiliation_strings":["College of Computer Science and Big Data, Fuzhou University, Fuzhou, China","College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Big Data, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]},{"raw_affiliation_string":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048551117","display_name":"C. L. Philip Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"C. L. Philip Chen","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5074427200"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":null,"apc_paid":null,"fwci":2.7601,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86437747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"32","issue":null,"first_page":"1900","last_page":"1904"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9628000259399414,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9628000259399414,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9419000148773193,"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/separable-space","display_name":"Separable space","score":0.6704074740409851},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5731383562088013},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5681617259979248},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5302616953849792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48828887939453125},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.414336621761322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39324188232421875},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3608464002609253},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34419435262680054},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3223259747028351},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3048700988292694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12326869368553162},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09278517961502075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07881075143814087}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6704074740409851},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5731383562088013},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5681617259979248},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5302616953849792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48828887939453125},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.414336621761322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39324188232421875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3608464002609253},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34419435262680054},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3223259747028351},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3048700988292694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12326869368553162},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09278517961502075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07881075143814087},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2025.3563133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2025.3563133","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W63384232","https://openalex.org/W1850361076","https://openalex.org/W1967150189","https://openalex.org/W1969698720","https://openalex.org/W1970712933","https://openalex.org/W2018089423","https://openalex.org/W2039050532","https://openalex.org/W2053874495","https://openalex.org/W2065288681","https://openalex.org/W2090636411","https://openalex.org/W2126491786","https://openalex.org/W2126762950","https://openalex.org/W2220485312","https://openalex.org/W2572018699","https://openalex.org/W2616577182","https://openalex.org/W2763015773","https://openalex.org/W2795757876","https://openalex.org/W2963972677","https://openalex.org/W2964121744","https://openalex.org/W2997009477","https://openalex.org/W3037331090","https://openalex.org/W3084331446","https://openalex.org/W3113286871","https://openalex.org/W3126999565","https://openalex.org/W3163742575","https://openalex.org/W3203078849","https://openalex.org/W3203958365","https://openalex.org/W4285169795","https://openalex.org/W4294643353","https://openalex.org/W4309296688","https://openalex.org/W4318953536","https://openalex.org/W4379979582","https://openalex.org/W4387802627","https://openalex.org/W4388322257","https://openalex.org/W4388691940","https://openalex.org/W4388907057","https://openalex.org/W4389722307","https://openalex.org/W4391627315","https://openalex.org/W4392693597","https://openalex.org/W4400315380","https://openalex.org/W4409416229","https://openalex.org/W6678915787","https://openalex.org/W6683504900","https://openalex.org/W6784591795"],"related_works":["https://openalex.org/W2009525028","https://openalex.org/W4321064619","https://openalex.org/W2076561698","https://openalex.org/W2053599029","https://openalex.org/W2962925412","https://openalex.org/W2023672523","https://openalex.org/W4246719751","https://openalex.org/W2483165346","https://openalex.org/W3011179836","https://openalex.org/W1994625207"],"abstract_inverted_index":{"The":[0,34,105],"identification":[1,32],"of":[2,30,82,93],"separable":[3],"nonlinear":[4,133],"models,":[5],"prevalent":[6],"in":[7],"tasks":[8],"such":[9],"as":[10],"signal":[11],"analysis,":[12,17],"image":[13,138],"processing,":[14],"time":[15,134],"series":[16,135],"and":[18,58,64,84,112,137,148],"machine":[19],"learning,":[20],"presents":[21],"a":[22,73,98],"non-convex":[23],"optimization":[24,124],"challenge":[25],"that":[26,76,141],"necessitates":[27],"the":[28,55,78,91,94,116,123,142],"development":[29],"efficient":[31],"algorithms.":[33],"Variable":[35,101],"Projection":[36,102],"(VP)":[37],"algorithm":[38,107,144],"has":[39],"been":[40],"proven":[41],"to":[42,88],"be":[43],"quite":[44],"effective":[45],"for":[46,66],"addressing":[47],"these":[48],"problems;":[49],"however,":[50],"traditional":[51],"VP":[52],"relying":[53],"on":[54,132],"Hessian":[56],"matrix":[57],"its":[59],"inverse":[60],"are":[61],"highly":[62],"time-consuming":[63],"unsuitable":[65],"complex,":[67],"large-scale":[68],"applications.":[69],"This":[70],"letter":[71],"introduces":[72],"novel":[74],"approach":[75],"employs":[77],"exponential":[79],"moving":[80],"average":[81],"gradient":[83,85,110],"estimation":[86],"bias":[87],"indirectly":[89],"estimate":[90],"curvature":[92],"objective":[95],"landscape,":[96],"proposing":[97],"Moving":[99],"Average-based":[100],"method":[103],"(MAVP).":[104],"proposed":[106],"utilizes":[108],"only":[109],"information":[111],"can":[113],"properly":[114],"tackle":[115],"coupling":[117],"relationships":[118],"between":[119],"different":[120],"parameters":[121],"during":[122],"process,":[125],"thereby":[126],"achieving":[127],"faster":[128],"convergence.":[129],"Numerical":[130],"results":[131],"analysis":[136],"reconstruction":[139],"demonstrate":[140],"MAVP":[143],"exhibits":[145],"significant":[146],"efficiency":[147],"effectiveness.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}