{"id":"https://openalex.org/W4414918413","doi":"https://doi.org/10.48550/arxiv.2507.23199","title":"Error analysis of the projected PO method with additive inflation for the partially observed Lorenz 96 model","display_name":"Error analysis of the projected PO method with additive inflation for the partially observed Lorenz 96 model","publication_year":2025,"publication_date":"2025-07-31","ids":{"openalex":"https://openalex.org/W4414918413","doi":"https://doi.org/10.48550/arxiv.2507.23199"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2507.23199","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.23199","pdf_url":"https://arxiv.org/pdf/2507.23199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.23199","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102802072","display_name":"Kota Takeda","orcid":"https://orcid.org/0000-0001-6789-7842"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Takeda, Kota","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5102802072"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9735999703407288,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9413999915122986,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6190000176429749},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6137999892234802},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6021000146865845},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5670999884605408},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5515999794006348},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45399999618530273},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.4027000069618225},{"id":"https://openalex.org/keywords/inflation","display_name":"Inflation (cosmology)","score":0.36980000138282776}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6563000082969666},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6190000176429749},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6137999892234802},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6021000146865845},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5670999884605408},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5515999794006348},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5142999887466431},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45399999618530273},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3743000030517578},{"id":"https://openalex.org/C200941418","wikidata":"https://www.wikidata.org/wiki/Q273508","display_name":"Inflation (cosmology)","level":2,"score":0.36980000138282776},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.36169999837875366},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.34200000762939453},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3100000023841858},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.3095000088214874},{"id":"https://openalex.org/C174303752","wikidata":"https://www.wikidata.org/wiki/Q3624438","display_name":"Forecast error","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.3012000024318695},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.29350000619888306},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.26980000734329224},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.2637999951839447}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2507.23199","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.23199","pdf_url":"https://arxiv.org/pdf/2507.23199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"pmh:doi:10.48550/arxiv.2507.23199","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2507.23199","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2507.23199","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2507.23199","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.23199","pdf_url":"https://arxiv.org/pdf/2507.23199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[{"id":"https://openalex.org/G2096268528","display_name":null,"funder_award_id":"JPMJMI22G1","funder_id":"https://openalex.org/F4320338243","funder_display_name":"JST-Mirai Program"}],"funders":[{"id":"https://openalex.org/F4320335125","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98"},{"id":"https://openalex.org/F4320338243","display_name":"JST-Mirai Program","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414918413.pdf","grobid_xml":"https://content.openalex.org/works/W4414918413.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,6,13,16,25,29,38,48,63,67,80,87,91,97,103,107,113,122,131,139],"filtering":[3],"problem":[4,21],"with":[5,83,96],"partially":[7],"observed":[8],"Lorenz":[9],"96":[10],"model.":[11],"Although":[12],"accuracy":[14],"of":[15,41,58,62,106],"3DVar":[17],"filter":[18,32],"in":[19,47],"this":[20],"has":[22],"been":[23],"established,":[24],"theoretical":[26,132],"guarantee":[27],"for":[28,102],"ensemble":[30],"Kalman":[31],"(EnKF)":[33],"remains":[34],"limited":[35],"due":[36],"to":[37,120],"analytical":[39],"difficulty":[40],"handling":[42],"non-symmetric":[43,123],"matrices":[44],"that":[45],"emerge":[46],"partial":[49],"observation":[50,69,92],"setting.":[51],"This":[52],"study":[53],"establishes":[54],"uniform-in-time":[55],"error":[56],"bounds":[57,81],"a":[59],"stochastic":[60],"variant":[61,105],"EnKF,":[64,108],"known":[65],"as":[66],"perturbed":[68],"(PO)":[70],"method.":[71],"By":[72],"utilizing":[73],"additive":[74],"covariance":[75,89],"inflation,":[76],"we":[77],"successfully":[78],"obtain":[79],"both":[82],"and":[84,134],"without":[85,112],"projecting":[86],"background":[88],"onto":[90],"space.":[93],"Our":[94],"analysis":[95],"projection":[98,114],"complements":[99],"existing":[100],"results":[101],"deterministic":[104],"while":[109],"our":[110],"approach":[111],"offers":[115],"an":[116],"extended":[117],"mathematical":[118],"framework":[119],"handle":[121],"matrix":[124],"products":[125],"directly.":[126],"A":[127],"numerical":[128],"example":[129],"validates":[130],"findings":[133],"shows":[135],"comparable":[136],"accuracies":[137],"between":[138],"two":[140],"settings.":[141]},"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}