{"id":"https://openalex.org/W4389474964","doi":"https://doi.org/10.1007/s00332-023-09998-8","title":"Nonlinear Model Reduction for Slow\u2013Fast Stochastic Systems Near Unknown Invariant Manifolds","display_name":"Nonlinear Model Reduction for Slow\u2013Fast Stochastic Systems Near Unknown Invariant Manifolds","publication_year":2023,"publication_date":"2023-12-08","ids":{"openalex":"https://openalex.org/W4389474964","doi":"https://doi.org/10.1007/s00332-023-09998-8","mag":"3149021651"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-023-09998-8","doi":"https://doi.org/10.1007/s00332-023-09998-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-023-09998-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.02120","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013827659","display_name":"Felix X.-F. Ye","orcid":"https://orcid.org/0009-0006-3875-642X","observed_orcids":["https://orcid.org/0009-0006-3875-642X"]},"institutions":[{"id":"https://openalex.org/I392282","display_name":"University at Albany, State University of New York","ror":"https://ror.org/012zs8222","country_code":"US","type":"education","lineage":["https://openalex.org/I392282"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Felix X.-F. Ye","raw_affiliation_strings":["Department of Mathematics and Statistics, University at Albany, Albany, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University at Albany, Albany, USA","institution_ids":["https://openalex.org/I392282"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053210521","display_name":"Sichen Yang","orcid":"https://orcid.org/0000-0002-8360-4373","observed_orcids":["https://orcid.org/0000-0002-8360-4373","https://orcid.org/0000-0002-0903-7251"]},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sichen Yang","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089371996","display_name":"Mauro Maggioni","orcid":"https://orcid.org/0000-0003-3258-9297","observed_orcids":["https://orcid.org/0000-0003-3258-9297"]},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mauro Maggioni","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA","Department of Mathematics, Johns Hopkins University, Baltimore, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Mathematics, Johns Hopkins University, Baltimore, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013827659"],"corresponding_institution_ids":["https://openalex.org/I392282"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.5006,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.50556125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"34","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9897000193595886,"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":0.9897000193595886,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.007899999618530273,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-model-reduction","display_name":"nonlinear model reduction","score":0.8299999833106995},{"id":"https://openalex.org/keywords/slow-fast-systems","display_name":"singularly perturbed systems","score":0.7739999890327454},{"id":"https://openalex.org/keywords/stochastic-dynamical-systems","display_name":"stochastic dynamical systems","score":0.9129999876022339},{"id":"https://openalex.org/keywords/invariant-manifolds","display_name":"invariant manifolds","score":0.949999988079071},{"id":"https://openalex.org/keywords/effective-dynamics","display_name":"effective dynamics","score":0.5550000071525574},{"id":"https://openalex.org/keywords/black-box-simulation","display_name":"black-box simulation","score":0.8579999804496765},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"stationary distribution","score":0.44600000977516174},{"id":"https://openalex.org/keywords/metastable-states","display_name":"metastable states","score":0.9769999980926514},{"id":"https://openalex.org/keywords/residence-time","display_name":"residence time","score":0.9430000185966492},{"id":"https://openalex.org/keywords/transition-rates","display_name":"transition rates","score":0.902999997138977},{"id":"https://openalex.org/keywords/high-dimensional-systems","display_name":"high-dimensional systems","score":0.5440000295639038}],"concepts":[{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.6985562443733215},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6484891772270203},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5895608067512512},{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.5673690438270569},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5276027321815491},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4819647967815399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46775174140930176},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4303923547267914},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.41581523418426514},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.41412025690078735},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4052262306213379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4038221538066864},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3885260224342346},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34239158034324646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2533813416957855},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17115411162376404},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08993113040924072},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00332-023-09998-8","doi":"https://doi.org/10.1007/s00332-023-09998-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-023-09998-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2104.02120","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.02120","pdf_url":"https://arxiv.org/pdf/2104.02120","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:3149021651","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2104.02120.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2104.02120","doi":"https://doi.org/10.48550/arxiv.2104.02120","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.02120","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.02120","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.02120","pdf_url":"https://arxiv.org/pdf/2104.02120","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1427164230","display_name":"BIGDATA: F: Compositional Learning, Maps and Transfer: Statistical and Machine Learning on Collections of Data Sets","funder_award_id":"1837991","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1652264455","display_name":null,"funder_award_id":"255223","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2103958288","display_name":"Learning Dynamics from Data: Discovering Interaction Laws of Particle and Agent Systems","funder_award_id":"1913243","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389474964.pdf","grobid_xml":"https://content.openalex.org/works/W4389474964.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W99189181","https://openalex.org/W230980609","https://openalex.org/W420509224","https://openalex.org/W1410907832","https://openalex.org/W1501637923","https://openalex.org/W1519654970","https://openalex.org/W1572902284","https://openalex.org/W1842059459","https://openalex.org/W1959895834","https://openalex.org/W1962855533","https://openalex.org/W1968691112","https://openalex.org/W1971211010","https://openalex.org/W1971725855","https://openalex.org/W1987236926","https://openalex.org/W2001553466","https://openalex.org/W2006554089","https://openalex.org/W2021611402","https://openalex.org/W2025804570","https://openalex.org/W2037189338","https://openalex.org/W2044359900","https://openalex.org/W2048983163","https://openalex.org/W2051926802","https://openalex.org/W2056211671","https://openalex.org/W2058272306","https://openalex.org/W2063317900","https://openalex.org/W2084551717","https://openalex.org/W2084927133","https://openalex.org/W2097715096","https://openalex.org/W2105684745","https://openalex.org/W2105903067","https://openalex.org/W2110497788","https://openalex.org/W2116933606","https://openalex.org/W2133296809","https://openalex.org/W2139158220","https://openalex.org/W2141361312","https://openalex.org/W2143592395","https://openalex.org/W2146411229","https://openalex.org/W2156603435","https://openalex.org/W2158704256","https://openalex.org/W2164954534","https://openalex.org/W2167077362","https://openalex.org/W2188961801","https://openalex.org/W2471063652","https://openalex.org/W2505589889","https://openalex.org/W2571642833","https://openalex.org/W2615252773","https://openalex.org/W2738990641","https://openalex.org/W2774675099","https://openalex.org/W2783073729","https://openalex.org/W2962702675","https://openalex.org/W2987949960","https://openalex.org/W3008606610","https://openalex.org/W3016578580","https://openalex.org/W3100810942","https://openalex.org/W3102502737","https://openalex.org/W3103966169","https://openalex.org/W4235722944","https://openalex.org/W4238160257","https://openalex.org/W4249520102"],"related_works":["https://openalex.org/W3149021651","https://openalex.org/W2783289905","https://openalex.org/W99507145","https://openalex.org/W2005346648","https://openalex.org/W1491593166","https://openalex.org/W2800868681","https://openalex.org/W2168954883","https://openalex.org/W2616958335","https://openalex.org/W2967450799","https://openalex.org/W4383497406"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-12-09T00:00:00"}