{"id":"https://openalex.org/W4283453160","doi":"https://doi.org/10.1063/5.0091282","title":"Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto\u2013Sivashinsky test case","display_name":"Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto\u2013Sivashinsky test case","publication_year":2022,"publication_date":"2022-06-01","ids":{"openalex":"https://openalex.org/W4283453160","doi":"https://doi.org/10.1063/5.0091282","mag":"3201753322","pmid":"https://pubmed.ncbi.nlm.nih.gov/35778119"},"language":"en","primary_location":{"id":"doi:10.1063/5.0091282","doi":"https://doi.org/10.1063/5.0091282","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0091282","pdf_url":null,"source":{"id":"https://openalex.org/S187806540","display_name":"Chaos An Interdisciplinary Journal of Nonlinear Science","issn_l":"1054-1500","issn":["1054-1500","1089-7682","1527-2443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2110.00546","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036417277","display_name":"Rambod Mojgani","orcid":"https://orcid.org/0000-0001-5925-4353","observed_orcids":["https://orcid.org/0000-0001-5925-4353"]},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rambod Mojgani","raw_affiliation_strings":["Department of Mechanical Engineering, Rice University , Houston, Texas 77005, USA"],"raw_orcid":"https://orcid.org/0000-0001-5925-4353","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Rice University , Houston, Texas 77005, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011234657","display_name":"Ashesh Chattopadhyay","orcid":"https://orcid.org/0000-0002-2590-1230","observed_orcids":["https://orcid.org/0000-0002-2590-1230"]},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ashesh Chattopadhyay","raw_affiliation_strings":["Department of Mechanical Engineering, Rice University , Houston, Texas 77005, USA"],"raw_orcid":"https://orcid.org/0000-0002-2590-1230","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Rice University , Houston, Texas 77005, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052673105","display_name":"Pedram Hassanzadeh","orcid":"https://orcid.org/0000-0001-9425-8085","observed_orcids":["https://orcid.org/0000-0001-9425-8085"]},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pedram Hassanzadeh","raw_affiliation_strings":["Department of Mechanical Engineering, Rice University , Houston, Texas 77005, USA"],"raw_orcid":"https://orcid.org/0000-0001-9425-8085","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Rice University , Houston, Texas 77005, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036417277"],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":null,"apc_paid":null,"fwci":1.5447,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.81689498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"32","issue":"6","first_page":"061105","last_page":"061105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.8949999809265137,"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":0.8949999809265137,"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/T11236","display_name":"Control Systems and Identification","score":0.047200001776218414,"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"}},{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.04149999842047691,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/model-error","display_name":"model error","score":0.9110000133514404},{"id":"https://openalex.org/keywords/relevance-vector-machine","display_name":"relevance vector machine","score":0.9919999837875366},{"id":"https://openalex.org/keywords/data-assimilation","display_name":"data assimilation","score":0.9459999799728394},{"id":"https://openalex.org/keywords/ensemble-kalman-filter","display_name":"ensemble Kalman filter","score":0.9909999966621399},{"id":"https://openalex.org/keywords/kuramoto-sivashinsky-equation","display_name":"Kuramoto-Sivashinsky equation","score":0.9660000205039978},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"chaotic systems","score":0.6729999780654907}],"concepts":[{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.7796682119369507},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.6431209444999695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5778560042381287},{"id":"https://openalex.org/C179024874","wikidata":"https://www.wikidata.org/wiki/Q5395728","display_name":"Errors-in-variables models","level":2,"score":0.5759090185165405},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.508820116519928},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5053210854530334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47104597091674805},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.46859923005104065},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.46515828371047974},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.4598705470561981},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36931419372558594},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3530767560005188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32514941692352295},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17696794867515564},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1063/5.0091282","doi":"https://doi.org/10.1063/5.0091282","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0091282","pdf_url":null,"source":{"id":"https://openalex.org/S187806540","display_name":"Chaos An Interdisciplinary Journal of Nonlinear Science","issn_l":"1054-1500","issn":["1054-1500","1089-7682","1527-2443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmid:35778119","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35778119","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chaos (Woodbury, N.Y.)","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2110.00546","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.00546","pdf_url":"https://arxiv.org/pdf/2110.00546","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3201753322","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2110.00546.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.2110.00546","doi":"https://doi.org/10.48550/arxiv.2110.00546","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2110.00546","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2110.00546","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.00546","pdf_url":"https://arxiv.org/pdf/2110.00546","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G1900090525","display_name":null,"funder_award_id":"N00014-20-1-2722","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4968170195","display_name":null,"funder_award_id":"OAC-2005123","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G7861742546","display_name":"Collaborative Research: Framework: Improving the Understanding and Representation of Atmospheric Gravity Waves using High-Resolution Observations and Machine Learning","funder_award_id":"2005123","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/F4320316572","display_name":"Schmidt Family Foundation","ror":"https://ror.org/014bj2y47"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337377","display_name":"Office of Advanced Cyberinfrastructure","ror":"https://ror.org/04nh1dc89"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283453160.pdf","grobid_xml":"https://content.openalex.org/works/W4283453160.grobid-xml"},"referenced_works_count":81,"referenced_works":["https://openalex.org/W1538019027","https://openalex.org/W1648445109","https://openalex.org/W1796654052","https://openalex.org/W1921511217","https://openalex.org/W2027319740","https://openalex.org/W2039640197","https://openalex.org/W2112045687","https://openalex.org/W2127739073","https://openalex.org/W2128931495","https://openalex.org/W2143299489","https://openalex.org/W2157098139","https://openalex.org/W2174784159","https://openalex.org/W2239232218","https://openalex.org/W2525748878","https://openalex.org/W2556930732","https://openalex.org/W2573798107","https://openalex.org/W2578607490","https://openalex.org/W2740733496","https://openalex.org/W2752514830","https://openalex.org/W2782714865","https://openalex.org/W2788403524","https://openalex.org/W2789696245","https://openalex.org/W2807826281","https://openalex.org/W2808559252","https://openalex.org/W2809789958","https://openalex.org/W2887432454","https://openalex.org/W2892208363","https://openalex.org/W2908155528","https://openalex.org/W2916753373","https://openalex.org/W2930756996","https://openalex.org/W2950393127","https://openalex.org/W2950686278","https://openalex.org/W2957147396","https://openalex.org/W2963721506","https://openalex.org/W2963973018","https://openalex.org/W2965580012","https://openalex.org/W2979313281","https://openalex.org/W2983896275","https://openalex.org/W2994028939","https://openalex.org/W2998192345","https://openalex.org/W3000852976","https://openalex.org/W3008664735","https://openalex.org/W3011075401","https://openalex.org/W3012729568","https://openalex.org/W3025949386","https://openalex.org/W3025990996","https://openalex.org/W3027335838","https://openalex.org/W3028069279","https://openalex.org/W3029920297","https://openalex.org/W3034522316","https://openalex.org/W3037861027","https://openalex.org/W3040454512","https://openalex.org/W3047626512","https://openalex.org/W3087723685","https://openalex.org/W3091651555","https://openalex.org/W3093640818","https://openalex.org/W3094074822","https://openalex.org/W3105919389","https://openalex.org/W3107102194","https://openalex.org/W3111372328","https://openalex.org/W3118260203","https://openalex.org/W3125013357","https://openalex.org/W3129768217","https://openalex.org/W3129940801","https://openalex.org/W3131177310","https://openalex.org/W3133002925","https://openalex.org/W3136179920","https://openalex.org/W3138378275","https://openalex.org/W3150028748","https://openalex.org/W3159062731","https://openalex.org/W3160970887","https://openalex.org/W3161402363","https://openalex.org/W3169745485","https://openalex.org/W3175210633","https://openalex.org/W3182899221","https://openalex.org/W3191012923","https://openalex.org/W3213555605","https://openalex.org/W4206971393","https://openalex.org/W4220664202","https://openalex.org/W4225906496","https://openalex.org/W4247794243"],"related_works":["https://openalex.org/W3201753322","https://openalex.org/W3212810054","https://openalex.org/W4393114266","https://openalex.org/W2525918962","https://openalex.org/W4399244200","https://openalex.org/W2790667592","https://openalex.org/W3119323793","https://openalex.org/W4413367953","https://openalex.org/W7169684086","https://openalex.org/W3048241894"],"abstract_inverted_index":{"Models":[0],"of":[1,15,41,47,102,109,115,142,172,207,225,231,238],"many":[2],"engineering":[3],"and":[4,20,44,78,92,105,132,204,243],"natural":[5],"systems":[6],"are":[7,137,153],"imperfect.":[8],"The":[9],"discrepancy":[10],"between":[11,37,128],"the":[12,26,38,42,45,48,69,103,116,121,129,147,161,169,173,181,189,208,212,217,222],"mathematical":[13],"representations":[14],"a":[16,83,98,106,140,155,193],"true":[17],"physical":[18],"system":[19,215],"its":[21],"imperfect":[22],"model":[23,27,30,43,64,104,122,182,209,233],"is":[24,59,124,165,176,197],"called":[25],"error.":[28,183,210],"These":[29],"errors":[31],"can":[32],"lead":[33],"to":[34,74,167,179,199],"substantial":[35],"differences":[36,127],"numerical":[39,100,144],"solutions":[40],"state":[46,171],"system,":[49,174],"particularly":[50,66],"in":[51,62,227],"those":[52],"involving":[53],"nonlinear,":[54],"multi-scale":[55],"phenomena.":[56],"Thus,":[57],"there":[58],"increasing":[60],"interest":[61],"reducing":[63],"errors,":[65,234],"by":[67],"leveraging":[68],"rapidly":[70],"growing":[71],"observational":[72],"data":[73,156],"understand":[75],"their":[76],"physics":[77],"sources.":[79],"Here,":[80],"we":[81,220],"introduce":[82],"framework":[84],"named":[85],"MEDIDA:":[86],"Model":[87],"Error":[88],"Discovery":[89],"with":[90],"Interpretability":[91],"Data":[93],"Assimilation.":[94],"MEDIDA":[95,226],"only":[96],"requires":[97],"working":[99],"solver":[101],"small":[107],"number":[108,141],"noise-free":[110,242],"or":[111],"noisy":[112,244],"sporadic":[113],"observations":[114,152],"system.":[117],"In":[118],"MEDIDA,":[119],"first,":[120],"error":[123],"estimated":[125],"from":[126,139,146],"observed":[130,149],"states":[131,134],"model-predicted":[133],"(the":[135],"latter":[136],"obtained":[138],"one-time-step":[143],"integrations":[145],"previous":[148],"states).":[150],"If":[151],"noisy,":[154],"assimilation":[157],"technique,":[158,187],"such":[159],"as":[160,216],"ensemble":[162],"Kalman":[163],"filter,":[164],"employed":[166],"provide":[168],"analysis":[170],"which":[175],"then":[177],"used":[178,198],"estimate":[180],"Finally,":[184],"an":[185,201],"equation-discovery":[186],"here":[188],"relevance":[190],"vector":[191],"machine,":[192],"sparsity-promoting":[194],"Bayesian":[195],"method,":[196],"identify":[200],"interpretable,":[202],"parsimonious,":[203],"closed-form":[205],"representation":[206],"Using":[211],"chaotic":[213],"Kuramoto-Sivashinsky":[214],"test":[218],"case,":[219],"demonstrate":[221],"excellent":[223],"performance":[224],"discovering":[228],"different":[229,236],"types":[230,237],"structural/parametric":[232],"representing":[235],"missing":[239],"physics,":[240],"using":[241],"observations.":[245]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2022-06-26T00:00:00"}