{"id":"https://openalex.org/W2793847107","doi":"https://doi.org/10.1109/access.2018.2810190","title":"Adaptive Levenberg-Marquardt Algorithm Based Echo State Network for Chaotic Time Series Prediction","display_name":"Adaptive Levenberg-Marquardt Algorithm Based Echo State Network for Chaotic Time Series Prediction","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2793847107","doi":"https://doi.org/10.1109/access.2018.2810190","mag":"2793847107"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2810190","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2810190","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2810190","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100756202","display_name":"Junfei Qiao","orcid":"https://orcid.org/0000-0003-3372-4729"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junfei Qiao","raw_affiliation_strings":["Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065009375","display_name":"Lei Wang","orcid":"https://orcid.org/0000-0001-5614-4378"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Wang","raw_affiliation_strings":["Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023835029","display_name":"Cuili Yang","orcid":"https://orcid.org/0000-0002-3524-8968"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cuili Yang","raw_affiliation_strings":["Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044541383","display_name":"Ke Gu","orcid":"https://orcid.org/0000-0001-5540-3235"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Gu","raw_affiliation_strings":["Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100756202"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":3.0948,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.93157619,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"10720","last_page":"10732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10232","display_name":"Optical Network Technologies","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/initialization","display_name":"Initialization","score":0.6954675316810608},{"id":"https://openalex.org/keywords/echo-state-network","display_name":"Echo state network","score":0.6735568046569824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6337877511978149},{"id":"https://openalex.org/keywords/levenberg\u2013marquardt-algorithm","display_name":"Levenberg\u2013Marquardt algorithm","score":0.6149234771728516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6059259176254272},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5817811489105225},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5437792539596558},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5193708539009094},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4580456614494324},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.41657572984695435},{"id":"https://openalex.org/keywords/recursive-least-squares-filter","display_name":"Recursive least squares filter","score":0.4134019911289215},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.39002469182014465},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.36876147985458374},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.2918516993522644},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28485339879989624},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1700836718082428}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6954675316810608},{"id":"https://openalex.org/C172025690","wikidata":"https://www.wikidata.org/wiki/Q5332763","display_name":"Echo state network","level":4,"score":0.6735568046569824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6337877511978149},{"id":"https://openalex.org/C87578567","wikidata":"https://www.wikidata.org/wiki/Q1426494","display_name":"Levenberg\u2013Marquardt algorithm","level":3,"score":0.6149234771728516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6059259176254272},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5817811489105225},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5437792539596558},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5193708539009094},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4580456614494324},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.41657572984695435},{"id":"https://openalex.org/C145249878","wikidata":"https://www.wikidata.org/wiki/Q2835868","display_name":"Recursive least squares filter","level":3,"score":0.4134019911289215},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.39002469182014465},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.36876147985458374},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.2918516993522644},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28485339879989624},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1700836718082428},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/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":2,"locations":[{"id":"doi:10.1109/access.2018.2810190","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2810190","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d96fcb743c314714a4348e0b3d74df81","is_oa":true,"landing_page_url":"https://doaj.org/article/d96fcb743c314714a4348e0b3d74df81","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 10720-10732 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2810190","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2810190","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1480777","display_name":null,"funder_award_id":"KM20170005025","funder_id":"https://openalex.org/F4320321572","funder_display_name":"Beijing Municipal Commission of Education"},{"id":"https://openalex.org/G1933906510","display_name":null,"funder_award_id":"61533002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6458689937","display_name":null,"funder_award_id":"61603012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G921679260","display_name":null,"funder_award_id":"2017ZZ-028","funder_id":"https://openalex.org/F4320323068","funder_display_name":"Beijing Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320321572","display_name":"Beijing Municipal Commission of Education","ror":"https://ror.org/04bpn6s66"},{"id":"https://openalex.org/F4320323068","display_name":"Beijing Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W106246290","https://openalex.org/W1036981403","https://openalex.org/W1485207068","https://openalex.org/W1562683879","https://openalex.org/W1908962573","https://openalex.org/W2000221897","https://openalex.org/W2000855803","https://openalex.org/W2011030767","https://openalex.org/W2022175477","https://openalex.org/W2027750823","https://openalex.org/W2041645455","https://openalex.org/W2057224480","https://openalex.org/W2063284749","https://openalex.org/W2074477564","https://openalex.org/W2118706537","https://openalex.org/W2133573607","https://openalex.org/W2134396573","https://openalex.org/W2135046866","https://openalex.org/W2139287577","https://openalex.org/W2152623177","https://openalex.org/W2153167119","https://openalex.org/W2159682675","https://openalex.org/W2254633211","https://openalex.org/W2263928265","https://openalex.org/W2314582146","https://openalex.org/W2413186223","https://openalex.org/W2462814607","https://openalex.org/W2464909783","https://openalex.org/W2476751262","https://openalex.org/W2516734862","https://openalex.org/W2554281301","https://openalex.org/W2560692903","https://openalex.org/W2565222496","https://openalex.org/W2580792538","https://openalex.org/W2621045988","https://openalex.org/W2750322552","https://openalex.org/W3124635006"],"related_works":["https://openalex.org/W2093518600","https://openalex.org/W4385478418","https://openalex.org/W2081837274","https://openalex.org/W2164852895","https://openalex.org/W2027630946","https://openalex.org/W3119704784","https://openalex.org/W2529395309","https://openalex.org/W4282823030","https://openalex.org/W2111355587","https://openalex.org/W2013006297"],"abstract_inverted_index":{"Echo":[0],"state":[1,23,46],"networks":[2],"(ESNs)":[3],"have":[4],"wide":[5],"applications":[6],"in":[7],"chaotic":[8,139],"time":[9,140],"series":[10,141],"prediction.":[11],"In":[12,51],"the":[13,16,21,27,33,52,63,72,87,91,95,100,114,124,128],"ESN,":[14],"if":[15],"smallest":[17],"singular":[18],"value":[19],"of":[20,94],"reservoir":[22,119],"matrix":[24],"is":[25,49,60,69,110],"infinitesimal,":[26],"ill-posed":[28,129],"problem":[29],"might":[30],"occur":[31],"during":[32],"training":[34],"process.":[35],"To":[36],"overcome":[37,127],"this":[38],"problem,":[39],"an":[40],"adaptive":[41,57,67],"Levenberg-Marquardt":[42],"(LM)":[43],"algorithm-based":[44],"echo":[45],"network":[47],"(ALM-ESN)":[48],"developed.":[50],"developed":[53],"ALM-ESN,":[54],"a":[55,103],"new":[56],"damping":[58],"term":[59],"introduced":[61],"into":[62],"LM":[64],"algorithm.":[65],"The":[66],"factor":[68],"amended":[70],"by":[71],"trust":[73],"region":[74,93],"technique,":[75],"furthermore,":[76],"convergence":[77],"analysis,":[78],"and":[79,98,118,136],"stability":[80],"analysis":[81],"are":[82],"performed.":[83],"Moreover,":[84],"to":[85,112],"make":[86],"inputs":[88],"fall":[89],"within":[90],"active":[92],"activation":[96],"function":[97],"improve":[99],"learning":[101],"speed,":[102],"weight":[104],"initialization":[105],"method":[106],"using":[107],"linear":[108],"algebra":[109],"deployed":[111],"determine":[113],"appropriate":[115],"input":[116],"weights":[117],"weights.":[120],"Simulations":[121],"demonstrate":[122],"that":[123],"ALM-ESN":[125],"can":[126],"problem.":[130],"Furthermore,":[131],"it":[132],"exhibits":[133],"better":[134],"performance":[135],"robustness":[137],"for":[138],"prediction":[142],"than":[143],"some":[144],"other":[145],"existing":[146],"methods.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}