{"id":"https://openalex.org/W4213153647","doi":"https://doi.org/10.1109/tetci.2022.3146332","title":"Self-Consistent Learning of Neural Dynamical Systems From Noisy Time Series","display_name":"Self-Consistent Learning of Neural Dynamical Systems From Noisy Time Series","publication_year":2022,"publication_date":"2022-02-16","ids":{"openalex":"https://openalex.org/W4213153647","doi":"https://doi.org/10.1109/tetci.2022.3146332"},"language":"en","primary_location":{"id":"doi:10.1109/tetci.2022.3146332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tetci.2022.3146332","pdf_url":null,"source":{"id":"https://openalex.org/S4210210251","display_name":"IEEE Transactions on Emerging Topics in Computational Intelligence","issn_l":"2471-285X","issn":["2471-285X"],"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 Emerging Topics in Computational Intelligence","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/A5100407563","display_name":"Zhe Wang","orcid":"https://orcid.org/0000-0001-6348-2244"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhe Wang","raw_affiliation_strings":["CNRS@CREATE, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-6348-2244","affiliations":[{"raw_affiliation_string":"CNRS@CREATE, Singapore","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029791687","display_name":"C. Guet","orcid":"https://orcid.org/0000-0001-8246-1318"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Claude Guet","raw_affiliation_strings":["Energy Research Institute @NTU, Nanyang Technological University, Singapore","School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-8246-1318","affiliations":[{"raw_affiliation_string":"Energy Research Institute @NTU, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100407563"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1266,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76524249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"6","issue":"5","first_page":"1103","last_page":"1112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9959999918937683,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9959999918937683,"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":0.9937999844551086,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9833999872207642,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6936450004577637},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5231586694717407},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5226823687553406},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.5180518627166748},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5128743648529053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.50213623046875},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4570707082748413},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4555127024650574},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.43132007122039795},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4194888770580292},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.41388243436813354},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3988902270793915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35786837339401245},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.20855426788330078}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6936450004577637},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5231586694717407},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5226823687553406},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5180518627166748},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5128743648529053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.50213623046875},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4570707082748413},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4555127024650574},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.43132007122039795},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4194888770580292},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.41388243436813354},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3988902270793915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35786837339401245},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.20855426788330078},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tetci.2022.3146332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tetci.2022.3146332","pdf_url":null,"source":{"id":"https://openalex.org/S4210210251","display_name":"IEEE Transactions on Emerging Topics in Computational Intelligence","issn_l":"2471-285X","issn":["2471-285X"],"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 Emerging Topics in Computational Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/162829","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/162829","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.699999988079071}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320766","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302"},{"id":"https://openalex.org/F4320335158","display_name":"Energy Research Institute, Nanyang Technological University","ror":"https://ror.org/02e7b5302"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1512416947","https://openalex.org/W1549386224","https://openalex.org/W1605920984","https://openalex.org/W1809453380","https://openalex.org/W1984391316","https://openalex.org/W1995930498","https://openalex.org/W2025768430","https://openalex.org/W2031365860","https://openalex.org/W2095705004","https://openalex.org/W2135691157","https://openalex.org/W2141394518","https://openalex.org/W2141401868","https://openalex.org/W2158663270","https://openalex.org/W2194775991","https://openalex.org/W2541170635","https://openalex.org/W2735605822","https://openalex.org/W2917629769","https://openalex.org/W2956043269","https://openalex.org/W2962727772","https://openalex.org/W2997574889","https://openalex.org/W2999026783","https://openalex.org/W3016221005","https://openalex.org/W3022643593","https://openalex.org/W3093625747","https://openalex.org/W3132782787","https://openalex.org/W3151171396","https://openalex.org/W3171884590","https://openalex.org/W3172529987","https://openalex.org/W3200673624","https://openalex.org/W3205073660","https://openalex.org/W4236047370","https://openalex.org/W4251197426","https://openalex.org/W4292366025","https://openalex.org/W6630670229","https://openalex.org/W6631190155","https://openalex.org/W6638280230","https://openalex.org/W6638667902","https://openalex.org/W6638908295","https://openalex.org/W6674330103","https://openalex.org/W6681096077","https://openalex.org/W6735826779","https://openalex.org/W6752307458","https://openalex.org/W6752578362","https://openalex.org/W6760577511","https://openalex.org/W6764679822","https://openalex.org/W6779345947"],"related_works":["https://openalex.org/W2120684500","https://openalex.org/W4362570636","https://openalex.org/W5179970","https://openalex.org/W1542059793","https://openalex.org/W2300679797","https://openalex.org/W2965447468","https://openalex.org/W3174433017","https://openalex.org/W3215149225","https://openalex.org/W2215227642","https://openalex.org/W68286114"],"abstract_inverted_index":{"We":[0,30],"introduce":[1],"a":[2,7,37,108,113,156],"new":[3],"method":[4,76,178],"which,":[5],"for":[6,107,142,189],"single":[8],"noisy":[9],"time":[10,158],"series,":[11],"provides":[12],"unsupervised":[13],"filtering,":[14],"state":[15,103,109,191],"space":[16,110,192],"reconstruction,":[17],"efficient":[18],"learning":[19],"of":[20,60,123,150,175],"the":[21,33,46,49,52,58,61,70,75,86,90,102,117,121,124,131,140,151,168,172,176,183,190],"unknown":[22],"governing":[23],"multivariate":[24],"dynamical":[25,39,54,62,133],"system,":[26,55,63],"and":[27,36,64,93,144,171],"deterministic":[28],"forecasting.":[29],"construct":[31],"both":[32],"underlying":[34],"trajectories":[35,50],"latent":[38,53],"system":[40,134],"using":[41,89],"deep":[42],"neural":[43,125,132],"networks.":[44],"Under":[45],"assumption":[47],"that":[48,167],"follow":[51],"we":[56,128,165],"determine":[57],"unknowns":[59],"filter":[65],"out":[66],"stochastic":[67],"outliers":[68],"in":[69],"measurements.":[71],"In":[72],"this":[73],"sense":[74],"is":[77,82,95],"self-consistent.":[78],"The":[79],"embedding":[80],"dimension":[81],"determined":[83],"iteratively":[84],"during":[85],"training":[87],"by":[88,161],"false-nearest-neighbors":[91],"Algorithm":[92],"it":[94],"implemented":[96],"as":[97],"an":[98],"attention":[99],"map":[100],"to":[101,182,186],"vector.":[104],"This":[105],"allows":[106],"reconstruction":[111],"without":[112],"priori":[114],"information":[115],"on":[116],"signal.":[118],"By":[119],"exploiting":[120],"differentiability":[122],"solution":[126],"trajectory,":[127],"can":[129],"define":[130],"locally":[135],"at":[136],"each":[137],"time,":[138],"mitigating":[139],"need":[141],"forward":[143],"backwards":[145],"passing":[146],"through":[147],"numerical":[148],"solvers":[149],"canonical":[152],"adjoint":[153],"method.":[154],"On":[155],"chaotic":[157],"series":[159],"masked":[160],"additive":[162],"Gaussian":[163],"noise,":[164],"demonstrate":[166],"denoising":[169],"ability":[170],"predictive":[173],"power":[174],"proposed":[177],"are":[179],"mainly":[180],"due":[181],"self-consistency,":[184],"insensitive":[185],"methods":[187],"used":[188],"reconstruction.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
