{"id":"https://openalex.org/W2800936176","doi":"https://doi.org/10.1109/tcyb.2018.2825253","title":"Hybrid Regularized Echo State Network for Multivariate Chaotic Time Series Prediction","display_name":"Hybrid Regularized Echo State Network for Multivariate Chaotic Time Series Prediction","publication_year":2018,"publication_date":"2018-04-30","ids":{"openalex":"https://openalex.org/W2800936176","doi":"https://doi.org/10.1109/tcyb.2018.2825253","mag":"2800936176","pmid":"https://pubmed.ncbi.nlm.nih.gov/29994040"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2018.2825253","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2825253","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5101908375","display_name":"Meiling Xu","orcid":"https://orcid.org/0000-0002-4226-5651"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meiling Xu","raw_affiliation_strings":["School of Control Science and Engineering, Dalian University of Technology, Liaoning, China"],"raw_orcid":"https://orcid.org/0000-0002-4226-5651","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Dalian University of Technology, Liaoning, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032636287","display_name":"Min Han","orcid":"https://orcid.org/0000-0002-2964-4884"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Han","raw_affiliation_strings":["School of Control Science and Engineering, Dalian University of Technology, Liaoning, China"],"raw_orcid":"https://orcid.org/0000-0002-2964-4884","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Dalian University of Technology, Liaoning, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037428599","display_name":"Tie Qiu","orcid":"https://orcid.org/0000-0003-2324-2523"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tie Qiu","raw_affiliation_strings":["School of Computer Science and Technology, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-2324-2523","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Tianjin University, Tianjin, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023931221","display_name":"Hongfei Lin","orcid":"https://orcid.org/0000-0003-0872-7688"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfei Lin","raw_affiliation_strings":["School of Computer Science and Engineering, Dalian University of Technology, Liaoning, China"],"raw_orcid":"https://orcid.org/0000-0003-0872-7688","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Dalian University of Technology, Liaoning, China","institution_ids":["https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0393,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.96016671,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"49","issue":"6","first_page":"2305","last_page":"2315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998000264167786,"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":0.9998000264167786,"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/T10320","display_name":"Neural Networks and Applications","score":0.9975000023841858,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/echo-state-network","display_name":"Echo state network","score":0.7876783609390259},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7148170471191406},{"id":"https://openalex.org/keywords/echo","display_name":"Echo (communications protocol)","score":0.6793467998504639},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6737262606620789},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6626133322715759},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5378085970878601},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5272527933120728},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.5096619129180908},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39934101700782776},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.374255895614624},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29117411375045776},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.2655926048755646},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.25351327657699585},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.18924248218536377},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12793439626693726},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.0599348247051239}],"concepts":[{"id":"https://openalex.org/C172025690","wikidata":"https://www.wikidata.org/wiki/Q5332763","display_name":"Echo state network","level":4,"score":0.7876783609390259},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7148170471191406},{"id":"https://openalex.org/C2779426996","wikidata":"https://www.wikidata.org/wiki/Q18389128","display_name":"Echo (communications protocol)","level":2,"score":0.6793467998504639},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6737262606620789},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6626133322715759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5378085970878601},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5272527933120728},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.5096619129180908},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39934101700782776},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.374255895614624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29117411375045776},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2655926048755646},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25351327657699585},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.18924248218536377},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12793439626693726},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0599348247051239},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2018.2825253","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2825253","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:29994040","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29994040","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2626618135","display_name":null,"funder_award_id":"DUT16RC(3)123","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6199873430","display_name":"\u5927\u89c4\u6a21\u975e\u5e73\u7a33\u591a\u5143\u6df7\u6c8c\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u4e0e\u5efa\u6a21\u7814\u7a76","funder_award_id":"61374154","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6538997798","display_name":"\u9762\u5411\u7269\u8054\u7f51\u4e2d\u5927\u89c4\u6a21\u5f02\u6784\u611f\u77e5\u7f51\u7edc\u9c81\u68d2\u6027\u6a21\u578b\u4e0e\u7b56\u7565\u7814\u7a76","funder_award_id":"61672131","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7083102614","display_name":null,"funder_award_id":"DUT17ZD216","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G876797204","display_name":null,"funder_award_id":"61773087","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8982535021","display_name":null,"funder_award_id":"61702077","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W196761320","https://openalex.org/W1469859527","https://openalex.org/W1501882007","https://openalex.org/W1544900599","https://openalex.org/W1569512666","https://openalex.org/W1964892656","https://openalex.org/W1967150189","https://openalex.org/W1969765329","https://openalex.org/W1973350931","https://openalex.org/W1974398591","https://openalex.org/W1987932920","https://openalex.org/W2010006328","https://openalex.org/W2020925091","https://openalex.org/W2024311320","https://openalex.org/W2029967456","https://openalex.org/W2037024114","https://openalex.org/W2039617089","https://openalex.org/W2041645455","https://openalex.org/W2041891835","https://openalex.org/W2056201402","https://openalex.org/W2074682976","https://openalex.org/W2084001690","https://openalex.org/W2117014758","https://openalex.org/W2118706537","https://openalex.org/W2122825543","https://openalex.org/W2130467234","https://openalex.org/W2135046866","https://openalex.org/W2152254020","https://openalex.org/W2209420799","https://openalex.org/W2261265176","https://openalex.org/W2279226407","https://openalex.org/W2313953460","https://openalex.org/W2376957319","https://openalex.org/W2405206665","https://openalex.org/W2435445314","https://openalex.org/W2464909783","https://openalex.org/W2476751262","https://openalex.org/W2529302757","https://openalex.org/W2546901514","https://openalex.org/W2563523061","https://openalex.org/W2587108256","https://openalex.org/W2593430120","https://openalex.org/W2763546604","https://openalex.org/W2919115771","https://openalex.org/W3098743667","https://openalex.org/W4230715394","https://openalex.org/W6608133726","https://openalex.org/W6630291878"],"related_works":["https://openalex.org/W1473737476","https://openalex.org/W2949162897","https://openalex.org/W2061432289","https://openalex.org/W2276571074","https://openalex.org/W3216623288","https://openalex.org/W2351280436","https://openalex.org/W3090936158","https://openalex.org/W4390599063","https://openalex.org/W1607430432","https://openalex.org/W4403661568"],"abstract_inverted_index":{"Multivariate":[0],"chaotic":[1,172],"time":[2,21,37,173],"series":[3,22,38],"prediction":[4],"is":[5,14,163,187],"a":[6,48,61,67,138,171],"hot":[7],"research":[8],"topic,":[9],"the":[10,17,20,71,78,86,115,118,122,127,151,155,159,167,205,208,212],"goal":[11],"of":[12,19,51,117,170,204,211],"which":[13,65],"to":[15,84,148,165,189],"predict":[16],"future":[18],"based":[23],"on":[24,113,177],"past":[25],"observations.":[26],"Echo":[27],"state":[28],"networks":[29],"(ESNs)":[30],"have":[31],"recently":[32],"been":[33],"widely":[34],"used":[35,164],"in":[36],"prediction,":[39],"but":[40],"there":[41],"may":[42],"be":[43],"an":[44],"ill-posed":[45],"problem":[46],"for":[47],"large":[49],"number":[50],"unknown":[52],"output":[53,87,119,123,133,156,199],"weights.":[54,88,120],"To":[55],"solve":[56],"this":[57],"problem,":[58],"we":[59],"propose":[60],"hybrid":[62],"regularized":[63],"ESN,":[64],"employs":[66],"sparse":[68],"regression":[69],"with":[70],"L":[72,79,90,105],"<sub":[73,80,91,106],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[74,81,92,107],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1/2</sub>":[75,93],"regularization":[76,83],"and":[77,102,132,179,196],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[82,108],"compute":[85],"The":[89,104,145],"penalty":[94,109],"shows":[95],"many":[96],"attractive":[97],"properties,":[98],"such":[99],"as":[100,193],"unbiasedness":[101],"sparsity.":[103],"presents":[110],"appealing":[111],"ability":[112],"shrinking":[114],"amplitude":[116],"After":[121],"weights":[124,134,200],"are":[125,135,201,215],"calculated,":[126],"input":[128,152],"weights,":[129,131],"internal":[130],"fine-tuning":[136,146],"by":[137],"Hessian-free":[139],"optimization":[140],"method-conjugate":[141],"gradient":[142],"backpropagation":[143],"algorithm.":[144],"helps":[147],"bubble":[149],"up":[150],"information":[153],"toward":[154],"layer.":[157],"Besides,":[158],"largest":[160],"Lyapunov":[161],"exponent":[162],"calculate":[166],"predictable":[168,209],"horizon":[169,210],"series.":[174],"Experimental":[175],"results":[176],"benchmark":[178],"real-world":[180],"datasets":[181],"show":[182],"that":[183],"our":[184],"proposed":[185,213],"method":[186],"superior":[188],"other":[190],"ESN-based":[191],"models,":[192],"sparser,":[194],"smaller-absolute-value,":[195],"more":[197],"informative":[198],"obtained.":[202],"All":[203],"predictions":[206],"within":[207],"model":[214],"accurate.":[216]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}