{"id":"https://openalex.org/W1999745073","doi":"https://doi.org/10.1016/j.camwa.2013.01.024","title":"Noisy dynamic simulations in the presence of symmetry: Data alignment and model reduction","display_name":"Noisy dynamic simulations in the presence of symmetry: Data alignment and model reduction","publication_year":2013,"publication_date":"2013-03-07","ids":{"openalex":"https://openalex.org/W1999745073","doi":"https://doi.org/10.1016/j.camwa.2013.01.024","mag":"1999745073"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2013.01.024","doi":"https://doi.org/10.1016/j.camwa.2013.01.024","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2013.01.024","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0898122113000412/pdf","source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0898122113000412/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075732308","display_name":"Benjamin E. Sonday","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Sonday","raw_affiliation_strings":["Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062844820","display_name":"Amit Singer","orcid":"https://orcid.org/0000-0002-6975-7955","observed_orcids":["https://orcid.org/0000-0002-6975-7955"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amit Singer","raw_affiliation_strings":["Department of Mathematics, Princeton University, Princeton, NJ 08544, USA","Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036566464","display_name":"Ioannis G. Kevrekidis","orcid":"https://orcid.org/0000-0003-2220-3522","observed_orcids":["https://orcid.org/0000-0003-2220-3522"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ioannis G. Kevrekidis","raw_affiliation_strings":["Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08544, USA","Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036566464"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":3170,"currency":"USD","value_usd":3170},"apc_paid":null,"fwci":1.3901,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.80037694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"65","issue":"10","first_page":"1535","last_page":"1557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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":0.9994999766349792,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry-lowering","display_name":"symmetry reduction","score":0.6819999814033508},{"id":"https://openalex.org/keywords/kuramoto-sivashinsky-equation","display_name":"Kuramoto-Sivashinsky equation","score":0.9110000133514404},{"id":"https://openalex.org/keywords/nematic-liquid-crystals","display_name":"nematic liquid crystals","score":0.9629999995231628},{"id":"https://openalex.org/keywords/smoluchowski-equation","display_name":"Smoluchowski equation","score":0.8330000042915344},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"dimensionality reduction","score":0.9430000185966492},{"id":"https://openalex.org/keywords/data-alignment","display_name":"data alignment","score":0.5199999809265137},{"id":"https://openalex.org/keywords/evolution-equations","display_name":"evolution equations","score":0.4699999988079071}],"concepts":[{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.6073927879333496},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5914545655250549},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.575461745262146},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5752624869346619},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5677289962768555},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5587570667266846},{"id":"https://openalex.org/C55128770","wikidata":"https://www.wikidata.org/wiki/Q5275440","display_name":"Diffusion map","level":4,"score":0.4884185194969177},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4614620804786682},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.46035096049308777},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44166290760040283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4264160692691803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41196194291114807},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4019812345504761},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35825157165527344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3270221948623657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28606539964675903},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.15052485466003418},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13509729504585266},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10002249479293823},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09800410270690918},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.camwa.2013.01.024","doi":"https://doi.org/10.1016/j.camwa.2013.01.024","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2013.01.024","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0898122113000412/pdf","source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1104.0725","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.0725","pdf_url":"https://arxiv.org/pdf/1104.0725","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":"","raw_type":"text"},{"id":"mag:1999745073","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1104.0725","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.1104.0725","doi":"https://doi.org/10.48550/arxiv.1104.0725","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1104.0725","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":"doi:10.1016/j.camwa.2013.01.024","doi":"https://doi.org/10.1016/j.camwa.2013.01.024","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2013.01.024","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0898122113000412/pdf","source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1314282440","display_name":null,"funder_award_id":"DE-FG02-97ER25308","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1515673316","display_name":"GRADUATE RESEARCH FELLOWSHIP PROGRAM","funder_award_id":"0646086","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2187493578","display_name":"COMPUTATIONAL SCIENCE GRADUATE FELLOWSHIP PROGRAM","funder_award_id":"DEFG0297ER25308","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G222768804","display_name":null,"funder_award_id":"DE\u2010FG02\u2010","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3940926095","display_name":"TAS::89 0222::TAS NEW; MODELING AND SIMULATION OF HIGH DIMENSIONAL STOCHASTIC MULTISCALE PDE SYSTEMS AT THE EXASCALE; PI - IOANNIS KEVREKIDIS","funder_award_id":"DESC0005176","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4401382610","display_name":"\"NEW; EQUATION-FREE AND VARIABLE-FREE MODELING FOR COMPLEX/MULTISCALE SYSTEMS: COARSE-GRAINED COMPUTATION IN SCIENCE AND ENGINEERING USING FINE-GRAIN","funder_award_id":"DESC0002097","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4879360136","display_name":"A GRADUATE FELLOWSHIP PROGRAM IN COMPUTATIONAL SCIENCE AND RELATED SCIENCES","funder_award_id":"FG02-97ER25308","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1999745073.pdf","grobid_xml":"https://content.openalex.org/works/W1999745073.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1562360371","https://openalex.org/W1579236455","https://openalex.org/W1633869374","https://openalex.org/W1966901194","https://openalex.org/W1981467185","https://openalex.org/W1982999858","https://openalex.org/W1983383403","https://openalex.org/W1984100473","https://openalex.org/W1995551283","https://openalex.org/W2001141328","https://openalex.org/W2006554089","https://openalex.org/W2010134232","https://openalex.org/W2014288873","https://openalex.org/W2017745440","https://openalex.org/W2025309173","https://openalex.org/W2027310207","https://openalex.org/W2029401646","https://openalex.org/W2036001794","https://openalex.org/W2042225931","https://openalex.org/W2045906052","https://openalex.org/W2052753766","https://openalex.org/W2053186076","https://openalex.org/W2054559153","https://openalex.org/W2056760934","https://openalex.org/W2058897724","https://openalex.org/W2072951627","https://openalex.org/W2074739084","https://openalex.org/W2077412035","https://openalex.org/W2078707336","https://openalex.org/W2079746361","https://openalex.org/W2086126894","https://openalex.org/W2089876099","https://openalex.org/W2089904534","https://openalex.org/W2095377493","https://openalex.org/W2097308346","https://openalex.org/W2105549229","https://openalex.org/W2112823474","https://openalex.org/W2135825502","https://openalex.org/W2136645762","https://openalex.org/W2139886236","https://openalex.org/W2143703915","https://openalex.org/W2155161883","https://openalex.org/W2165774374","https://openalex.org/W2313323651","https://openalex.org/W2490059420","https://openalex.org/W2569750427","https://openalex.org/W2739685101","https://openalex.org/W2798506522","https://openalex.org/W2962936676","https://openalex.org/W4213367101"],"related_works":["https://openalex.org/W4300644013","https://openalex.org/W4410192877","https://openalex.org/W2168742400","https://openalex.org/W6885082777","https://openalex.org/W2134018006","https://openalex.org/W2609118042","https://openalex.org/W2042639184","https://openalex.org/W2089884359","https://openalex.org/W7097658857","https://openalex.org/W2143912582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}