{"id":"https://openalex.org/W2911310928","doi":"https://doi.org/10.1080/03610918.2019.1565584","title":"Bayesian estimation of time-varying parameters in ordinary differential equation models with noisy time-varying covariates","display_name":"Bayesian estimation of time-varying parameters in ordinary differential equation models with noisy time-varying covariates","publication_year":2019,"publication_date":"2019-02-01","ids":{"openalex":"https://openalex.org/W2911310928","doi":"https://doi.org/10.1080/03610918.2019.1565584","mag":"2911310928"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2019.1565584","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2019.1565584","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5113787821","display_name":"Lixin Meng","orcid":null},"institutions":[{"id":"https://openalex.org/I179324530","display_name":"Jilin University of Finance and Economics","ror":"https://ror.org/04az9eh24","country_code":"CN","type":"education","lineage":["https://openalex.org/I179324530"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lixin Meng","raw_affiliation_strings":["School of Statistics, Jilin University of Finance and Economics, Changchun, P R China"],"affiliations":[{"raw_affiliation_string":"School of Statistics, Jilin University of Finance and Economics, Changchun, P R China","institution_ids":["https://openalex.org/I179324530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100353050","display_name":"Jiwei Zhang","orcid":"https://orcid.org/0000-0002-7454-1673"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiwei Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Yunnan University, Kunming, P R China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yunnan University, Kunming, P R China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100445844","display_name":"Xue Zhang","orcid":"https://orcid.org/0000-0002-4307-0776"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Zhang","raw_affiliation_strings":["China Institute of Rural Education Development, Northeast Normal University, Changchun, P R China"],"affiliations":[{"raw_affiliation_string":"China Institute of Rural Education Development, Northeast Normal University, Changchun, P R China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076418173","display_name":"Guozhong Feng","orcid":"https://orcid.org/0000-0002-1953-2766"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guozhong Feng","raw_affiliation_strings":["School of Information Science and Technology, Northeast Normal University, Changchun, P R China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Northeast Normal University, Changchun, P R China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113787821"],"corresponding_institution_ids":["https://openalex.org/I179324530"],"apc_list":null,"apc_paid":null,"fwci":0.3572,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67308132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"50","issue":"3","first_page":"708","last_page":"723"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10594","display_name":"Genetic and phenotypic traits in livestock","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10594","display_name":"Genetic and phenotypic traits in livestock","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9610999822616577,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9605000019073486,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7741997241973877},{"id":"https://openalex.org/keywords/covariate","display_name":"Covariate","score":0.6589466333389282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5903892517089844},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.580787718296051},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5718660354614258},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5648993253707886},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4946436583995819},{"id":"https://openalex.org/keywords/bayesian-information-criterion","display_name":"Bayesian information criterion","score":0.42654621601104736},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.42556512355804443},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.41179144382476807},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4104384779930115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39029449224472046},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.34166744351387024},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33759862184524536},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29848000407218933},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1346750557422638},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07870927453041077}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7741997241973877},{"id":"https://openalex.org/C119043178","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Covariate","level":2,"score":0.6589466333389282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5903892517089844},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.580787718296051},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5718660354614258},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5648993253707886},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4946436583995819},{"id":"https://openalex.org/C168136583","wikidata":"https://www.wikidata.org/wiki/Q1988242","display_name":"Bayesian information criterion","level":2,"score":0.42654621601104736},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.42556512355804443},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.41179144382476807},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4104384779930115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39029449224472046},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.34166744351387024},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33759862184524536},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29848000407218933},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1346750557422638},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07870927453041077},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2019.1565584","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2019.1565584","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W52171773","https://openalex.org/W438677521","https://openalex.org/W600598432","https://openalex.org/W634756731","https://openalex.org/W1575978816","https://openalex.org/W1601594977","https://openalex.org/W1972014514","https://openalex.org/W1981076387","https://openalex.org/W1989466762","https://openalex.org/W1995349067","https://openalex.org/W2002113995","https://openalex.org/W2002869784","https://openalex.org/W2011630381","https://openalex.org/W2013720270","https://openalex.org/W2014295038","https://openalex.org/W2015271685","https://openalex.org/W2020102996","https://openalex.org/W2037392129","https://openalex.org/W2051866702","https://openalex.org/W2057765075","https://openalex.org/W2059898847","https://openalex.org/W2065202408","https://openalex.org/W2066180388","https://openalex.org/W2069409480","https://openalex.org/W2076296035","https://openalex.org/W2087422093","https://openalex.org/W2092202824","https://openalex.org/W2094547604","https://openalex.org/W2095727687","https://openalex.org/W2102201073","https://openalex.org/W2119047368","https://openalex.org/W2127005475","https://openalex.org/W2134080536","https://openalex.org/W2137569004","https://openalex.org/W2146766088","https://openalex.org/W2485781103","https://openalex.org/W2489543173","https://openalex.org/W2611050160","https://openalex.org/W3021971632","https://openalex.org/W3104723251","https://openalex.org/W4213135654","https://openalex.org/W4230115272","https://openalex.org/W4249503066","https://openalex.org/W4292156489","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2384641672","https://openalex.org/W2742179975","https://openalex.org/W2362647823"],"abstract_inverted_index":{"Ordinary":[0],"differential":[1],"equations":[2],"(ODEs)":[3],"are":[4,44],"important":[5],"mathematical":[6],"models":[7,20],"in":[8,18,66],"applied":[9],"sciences":[10],"to":[11,28,58,91],"describe":[12],"dynamic":[13],"processes.":[14],"The":[15],"parameters":[16,38,62],"involved":[17],"the":[19,32,37,60,78,86,93],"usually":[21],"have":[22],"specific":[23],"meanings,":[24],"and":[25,63],"hence":[26],"need":[27],"be":[29],"estimated":[30],"from":[31],"observed":[33],"data.":[34],"In":[35,48],"applications,":[36],"may":[39],"change":[40],"with":[41],"time,":[42],"which":[43],"called":[45],"time-varying":[46,61],"parameters.":[47],"this":[49,72],"paper,":[50],"we":[51,84],"propose":[52],"a":[53],"Bayesian":[54],"penalized":[55],"B-spline":[56],"method":[57,73],"estimate":[59],"initial":[64],"values":[65],"ODEs.":[67],"Simulation":[68],"studies":[69],"show":[70],"that":[71],"is":[74],"more":[75],"efficient":[76],"than":[77],"two-stage":[79],"local":[80],"polynomial":[81],"method.":[82],"Furthermore,":[83],"introduce":[85],"DIC":[87],"model":[88],"selection":[89],"criterion":[90],"determine":[92],"number":[94],"of":[95,97],"knots":[96],"B-splines.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
