{"id":"https://openalex.org/W4406146712","doi":"https://doi.org/10.1007/s40314-024-03070-1","title":"Neural networks for total least squares solution of the time-varying linear systems","display_name":"Neural networks for total least squares solution of the time-varying linear systems","publication_year":2025,"publication_date":"2025-01-07","ids":{"openalex":"https://openalex.org/W4406146712","doi":"https://doi.org/10.1007/s40314-024-03070-1"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-03070-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-03070-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5039672243","display_name":"Xuezhong Wang","orcid":"https://orcid.org/0000-0001-9159-3371"},"institutions":[{"id":"https://openalex.org/I4210117818","display_name":"Hexi University","ror":"https://ror.org/02axfzt86","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuezhong Wang","raw_affiliation_strings":["School of Mathematics, Hexi University, Zhangye, 734000, People\u2019s Republic of China","School of Mathematics, Hexi University, Zhangye, 734000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hexi University, Zhangye, 734000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210117818"]},{"raw_affiliation_string":"School of Mathematics, Hexi University, Zhangye, 734000, People's Republic of China","institution_ids":["https://openalex.org/I4210117818"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070712374","display_name":"Jiali Shan","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiali Shan","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, 200433, People\u2019s Republic of China","School of Mathematical Sciences, Fudan University, Shanghai, 200433, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, 200433, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014988509","display_name":"Yimin Wei","orcid":"https://orcid.org/0000-0001-6192-0546"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yimin Wei","raw_affiliation_strings":["School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People\u2019s Republic of China","School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014988509"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":15.9659,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.98826041,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"44","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9866999983787537,"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/artificial-neural-network","display_name":"Artificial neural network","score":0.7042995691299438},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6823891401290894},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6389274597167969},{"id":"https://openalex.org/keywords/total-least-squares","display_name":"Total least squares","score":0.5704383850097656},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5651944279670715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48816758394241333},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4765356481075287},{"id":"https://openalex.org/keywords/noise-immunity","display_name":"Noise immunity","score":0.4613831639289856},{"id":"https://openalex.org/keywords/linear-least-squares","display_name":"Linear least squares","score":0.44038182497024536},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4383038282394409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43827423453330994},{"id":"https://openalex.org/keywords/recursive-least-squares-filter","display_name":"Recursive least squares filter","score":0.42440688610076904},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41644272208213806},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38485753536224365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38404595851898193},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37316441535949707},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.30564045906066895},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14078646898269653},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.10172164440155029},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09669280052185059},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08462858200073242}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7042995691299438},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6823891401290894},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6389274597167969},{"id":"https://openalex.org/C169241690","wikidata":"https://www.wikidata.org/wiki/Q7828122","display_name":"Total least squares","level":3,"score":0.5704383850097656},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5651944279670715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48816758394241333},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4765356481075287},{"id":"https://openalex.org/C2988494973","wikidata":"https://www.wikidata.org/wiki/Q179448","display_name":"Noise immunity","level":3,"score":0.4613831639289856},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.44038182497024536},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4383038282394409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43827423453330994},{"id":"https://openalex.org/C145249878","wikidata":"https://www.wikidata.org/wiki/Q2835868","display_name":"Recursive least squares filter","level":3,"score":0.42440688610076904},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41644272208213806},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38485753536224365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38404595851898193},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37316441535949707},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.30564045906066895},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14078646898269653},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.10172164440155029},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09669280052185059},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08462858200073242},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-03070-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-03070-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G116967129","display_name":null,"funder_award_id":"123B1008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3477548337","display_name":null,"funder_award_id":"12461055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W835482081","https://openalex.org/W1544266542","https://openalex.org/W1643705797","https://openalex.org/W1974942521","https://openalex.org/W1975277883","https://openalex.org/W1980789327","https://openalex.org/W1985463596","https://openalex.org/W1990303205","https://openalex.org/W2005490094","https://openalex.org/W2008229822","https://openalex.org/W2008383487","https://openalex.org/W2015071882","https://openalex.org/W2015866247","https://openalex.org/W2016852860","https://openalex.org/W2019414763","https://openalex.org/W2029781456","https://openalex.org/W2093627685","https://openalex.org/W2130317597","https://openalex.org/W2133702739","https://openalex.org/W2138244240","https://openalex.org/W2164342016","https://openalex.org/W2171308192","https://openalex.org/W2344929049","https://openalex.org/W2345244325","https://openalex.org/W2467076724","https://openalex.org/W2589756559","https://openalex.org/W2600111037","https://openalex.org/W2750836333","https://openalex.org/W2792085281","https://openalex.org/W2798427052","https://openalex.org/W2801420010","https://openalex.org/W2897448795","https://openalex.org/W2969990253","https://openalex.org/W3010926782","https://openalex.org/W3026528530","https://openalex.org/W3047576354","https://openalex.org/W3085472435","https://openalex.org/W3202414904","https://openalex.org/W4200023254","https://openalex.org/W4210601051","https://openalex.org/W4283122551","https://openalex.org/W4312356152","https://openalex.org/W4368232639","https://openalex.org/W4391341384","https://openalex.org/W4400720885","https://openalex.org/W4401504067"],"related_works":["https://openalex.org/W2030255580","https://openalex.org/W1602531054","https://openalex.org/W2027973524","https://openalex.org/W2388513917","https://openalex.org/W1986698577","https://openalex.org/W3093603618","https://openalex.org/W4380487384","https://openalex.org/W2026234960","https://openalex.org/W2374560502","https://openalex.org/W2146954624"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
