{"id":"https://openalex.org/W4385408919","doi":"https://doi.org/10.1088/2632-2153/acec31","title":"Data-driven dynamics reconstruction using RBF network <sup>*</sup>","display_name":"Data-driven dynamics reconstruction using RBF network <sup>*</sup>","publication_year":2023,"publication_date":"2023-07-31","ids":{"openalex":"https://openalex.org/W4385408919","doi":"https://doi.org/10.1088/2632-2153/acec31"},"language":"en","primary_location":{"id":"doi:10.1088/2632-2153/acec31","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/acec31","pdf_url":"https://iopscience.iop.org/article/10.1088/2632-2153/acec31/pdf","source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://iopscience.iop.org/article/10.1088/2632-2153/acec31/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101960042","display_name":"Congcong Du","orcid":"https://orcid.org/0009-0004-1473-5259"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cong-Cong Du","raw_affiliation_strings":["School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA"],"affiliations":[{"raw_affiliation_string":"School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100328993","display_name":"Xuan Wang","orcid":"https://orcid.org/0000-0002-2857-4298"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuan Wang","raw_affiliation_strings":["School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA"],"affiliations":[{"raw_affiliation_string":"School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020931821","display_name":"Zhangsen Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhangsen Wang","raw_affiliation_strings":["School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA"],"affiliations":[{"raw_affiliation_string":"School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101645654","display_name":"Xiaoying Wang","orcid":"https://orcid.org/0000-0003-1029-0358"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Da-Hui Wang","raw_affiliation_strings":["School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA"],"affiliations":[{"raw_affiliation_string":"School of systems science, Beijing Normal University, XinjiekouWai Street 19#, Haidian District, Beijing, 100875, CHINA","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101960042"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":{"value":1600,"currency":"GBP","value_usd":1962},"apc_paid":{"value":1600,"currency":"GBP","value_usd":1962},"fwci":0.8331,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70091358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"4","issue":"4","first_page":"045016","last_page":"045016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.95660001039505,"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":0.95660001039505,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9429000020027161,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9413999915122986,"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/lorenz-system","display_name":"Lorenz system","score":0.6583190560340881},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6518796682357788},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.5351672172546387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5338799953460693},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5284380912780762},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.498760461807251},{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.4966290593147278},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.4949027895927429},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.426960825920105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42188698053359985},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4158228933811188},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.41142863035202026},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38025787472724915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.359031617641449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3257584571838379},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.15211093425750732},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1297767460346222},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1225229799747467}],"concepts":[{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.6583190560340881},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6518796682357788},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5351672172546387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5338799953460693},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5284380912780762},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.498760461807251},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.4966290593147278},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.4949027895927429},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.426960825920105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42188698053359985},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4158228933811188},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.41142863035202026},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38025787472724915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.359031617641449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3257584571838379},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.15211093425750732},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1297767460346222},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1225229799747467},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1088/2632-2153/acec31","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/acec31","pdf_url":"https://iopscience.iop.org/article/10.1088/2632-2153/acec31/pdf","source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9dc65b51641842ada350bb7d826010ce","is_oa":true,"landing_page_url":"https://doaj.org/article/9dc65b51641842ada350bb7d826010ce","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Machine Learning: Science and Technology, Vol 4, Iss 4, p 045016 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1088/2632-2153/acec31","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/acec31","pdf_url":"https://iopscience.iop.org/article/10.1088/2632-2153/acec31/pdf","source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7200000286102295}],"awards":[{"id":"https://openalex.org/G1934954756","display_name":null,"funder_award_id":"32171094","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385408919.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W133148819","https://openalex.org/W1604264128","https://openalex.org/W1979769287","https://openalex.org/W1980324747","https://openalex.org/W2024450772","https://openalex.org/W2058580716","https://openalex.org/W2069436097","https://openalex.org/W2093828424","https://openalex.org/W2102150307","https://openalex.org/W2103496339","https://openalex.org/W2113442785","https://openalex.org/W2137258853","https://openalex.org/W2137983211","https://openalex.org/W2142001502","https://openalex.org/W2155399784","https://openalex.org/W2158698691","https://openalex.org/W2239232218","https://openalex.org/W2510030309","https://openalex.org/W2782714865","https://openalex.org/W2792876679","https://openalex.org/W2899125907","https://openalex.org/W2950089337","https://openalex.org/W2979786244","https://openalex.org/W2981906852","https://openalex.org/W3003864642","https://openalex.org/W3036548566","https://openalex.org/W3043167998","https://openalex.org/W3099462237","https://openalex.org/W3102070185","https://openalex.org/W3104709959","https://openalex.org/W3112054652","https://openalex.org/W3129637124","https://openalex.org/W3170977978","https://openalex.org/W3184631163","https://openalex.org/W3196444955","https://openalex.org/W3201489801","https://openalex.org/W4224300633","https://openalex.org/W4297215632","https://openalex.org/W4321429465","https://openalex.org/W6605430434","https://openalex.org/W6681048747","https://openalex.org/W6780561946","https://openalex.org/W6902585759"],"related_works":["https://openalex.org/W2370310922","https://openalex.org/W41978157","https://openalex.org/W2102526542","https://openalex.org/W2142587090","https://openalex.org/W2063993333","https://openalex.org/W2184563505","https://openalex.org/W2792467527","https://openalex.org/W2211974266","https://openalex.org/W3114432406","https://openalex.org/W2378004631"],"abstract_inverted_index":{"Abstract":[0],"Constructing":[1],"the":[2,31,49,65,69,74,82,91,99,115,119,136],"governing":[3],"dynamical":[4,32,50,101],"equations":[5,33,51],"of":[6,13,52,68,81,98,118],"complex":[7,37,54,143],"systems":[8,38],"from":[9,129],"observational":[10,41],"data":[11,67,80,111],"is":[12,23],"great":[14],"interest":[15],"for":[16,34],"both":[17],"theory":[18],"and":[19,85,95,112],"applications.":[20],"However,":[21],"it":[22],"a":[24,53,57],"difficult":[25],"inverse":[26],"problem":[27],"to":[28,46,108,141],"explicitly":[29],"construct":[30],"many":[35],"real":[36,142],"based":[39],"on":[40,64,78],"data.":[42],"Here,":[43],"we":[44],"propose":[45],"implicitly":[47],"represent":[48],"system":[55,87],"using":[56,123],"radial":[58],"basis":[59],"function":[60],"(RBF)":[61],"network":[62,76,121],"trained":[63,77,122],"observed":[66],"system.":[70],"We":[71,103],"show":[72,113],"that":[73,114,135],"RBF":[75,120],"trajectory":[79],"classical":[83],"Lorenz":[84],"Chen":[86],"can":[88,125,138],"faithfully":[89],"reproduce":[90],"orbits,":[92],"fixed":[93,116],"points,":[94],"local":[96],"bifurcations":[97],"original":[100],"equations.":[102],"also":[104],"apply":[105],"this":[106],"method":[107,137],"electrocardiogram":[109],"(ECG)":[110],"points":[117],"ECG":[124],"discriminate":[126],"healthy":[127],"people":[128],"patients":[130],"with":[131],"heart":[132],"disease,":[133],"indicating":[134],"be":[139],"applied":[140],"systems.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-02-25T23:00:34.991745","created_date":"2025-10-10T00:00:00"}
