{"id":"https://openalex.org/W2098208651","doi":"https://doi.org/10.1109/apccas.2002.1115318","title":"A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series","display_name":"A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series","publication_year":2003,"publication_date":"2003-06-26","ids":{"openalex":"https://openalex.org/W2098208651","doi":"https://doi.org/10.1109/apccas.2002.1115318","mag":"2098208651"},"language":"en","primary_location":{"id":"doi:10.1109/apccas.2002.1115318","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2002.1115318","pdf_url":null,"source":{"id":"https://openalex.org/S4306417752","display_name":"Asia Pacific Conference on Circuits and Systems","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Conference on Circuits and Systems","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":null,"display_name":"W.J. Pei","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"W.J. Pei","raw_affiliation_strings":["Department of Radio Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Radio Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101869969","display_name":"Ziang He","orcid":"https://orcid.org/0000-0001-5956-8934"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Z.Y. He","raw_affiliation_strings":["Department of Radio Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Radio Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045457613","display_name":"L\u00fcxi Yang","orcid":"https://orcid.org/0000-0003-1474-1806"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"L.X. Yang","raw_affiliation_strings":["Department of Radio Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Radio Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101728358","display_name":"Aiguo Song","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"A. Song","raw_affiliation_strings":["Department of Radio Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Radio Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110382751","display_name":"Stephen S. Hull","orcid":null},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.S. Hull","raw_affiliation_strings":["Health Science Center, University of Oklahoma, Norman, OK, USA"],"affiliations":[{"raw_affiliation_string":"Health Science Center, University of Oklahoma, Norman, OK, USA","institution_ids":["https://openalex.org/I8692664"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109813021","display_name":"J.Y. Cheung","orcid":null},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.Y. Cheung","raw_affiliation_strings":["School of Electrical & Computer Engineering, University of Oklahoma, Norman, OK, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical & Computer Engineering, University of Oklahoma, Norman, OK, USA","institution_ids":["https://openalex.org/I8692664"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16352201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"491","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9886000156402588,"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/T11236","display_name":"Control Systems and Identification","score":0.9850999712944031,"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/volterra-series","display_name":"Volterra series","score":0.7859913110733032},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7394272089004517},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7300189137458801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5667129755020142},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4978656768798828},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.4804820120334625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46076300740242004},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4596523642539978},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.45194533467292786},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.4501006603240967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.445385605096817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4280933141708374},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34346064925193787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27332353591918945},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.12693747878074646}],"concepts":[{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.7859913110733032},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7394272089004517},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7300189137458801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5667129755020142},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4978656768798828},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.4804820120334625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46076300740242004},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4596523642539978},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.45194533467292786},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.4501006603240967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.445385605096817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4280933141708374},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34346064925193787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27332353591918945},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12693747878074646},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/apccas.2002.1115318","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2002.1115318","pdf_url":null,"source":{"id":"https://openalex.org/S4306417752","display_name":"Asia Pacific Conference on Circuits and Systems","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Conference on Circuits and Systems","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":10,"referenced_works":["https://openalex.org/W1640065982","https://openalex.org/W1967303067","https://openalex.org/W2011703323","https://openalex.org/W2018807824","https://openalex.org/W2081900870","https://openalex.org/W2089274743","https://openalex.org/W2117804594","https://openalex.org/W2150218489","https://openalex.org/W2150464314","https://openalex.org/W2363733924"],"related_works":["https://openalex.org/W2392561304","https://openalex.org/W2392574720","https://openalex.org/W1981741235","https://openalex.org/W3148328832","https://openalex.org/W2098759082","https://openalex.org/W3156223041","https://openalex.org/W3141577587","https://openalex.org/W2283897466","https://openalex.org/W2622290067","https://openalex.org/W1988932928"],"abstract_inverted_index":{"Many":[0],"problems":[1],"such":[2],"as":[3],"over-fitting":[4],"and":[5],"subset":[6],"selection":[7],"are":[8],"introduced":[9],"in":[10,16],"the":[11,42],"standard":[12],"Volterra":[13,28,37],"model":[14],"(SVM)":[15],"reconstructing":[17],"deterministic":[18],"dynamics":[19],"from":[20],"noisy":[21],"chaotic":[22],"time":[23],"series.":[24],"An":[25],"optimal":[26],"transformed":[27],"filtering":[29],"(OTVF)":[30],"with":[31],"only":[32],"a":[33],"small":[34],"number":[35],"of":[36],"terms":[38],"able":[39],"to":[40],"reconstruct":[41],"underlying":[43],"determinism":[44],"was":[45],"presented.":[46]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}